question stringlengths 117 269 | answer stringlengths 2 624 | task stringclasses 5 values | noise_type stringclasses 3 values | difficulty stringclasses 3 values | demos stringlengths 4.82k 30.2k | num_demo_thoughts float32 5 17 | num_demo_noisy_thoughts float32 0 7.61 | noise_distribution stringclasses 1 value |
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In base-11, what is 97+4A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 136 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 24+94? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 4 + 4 = 8 in base-10. In music, an octave consists of eight notes in the Western musical scale. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is a Fibonacci number and a cube number. We have 2 + 9 + 0 = 11 in base 10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. A leading digit is 1. So the answer is 108. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. Answer:\box{108}
Question: In base-11, what is A3+68? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 8 = 11 in base-10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In chemistry, pH 0 on the pH scale represents extreme acidity. We have A + 6 + 1 = 17 in base 10. The 'Rule of Seventeen' in bridge is a guideline for estimating the strength of one's hand. 17 mod 11 = 6, so the digit is 6 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 160. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. Answer:\box{160}
Question: In base-11, what is 6A+66? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have A + 6 = 16 in base-10. In computer science, a 'nibble' is a four-bit aggregation, or half an octet, and two nibbles make up a byte, which is 16 bits. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In geometry, a pentagon is a five-sided polygon. We have 6 + 6 + 1 = 13 in base 10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. So the answer is 125. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. Answer:\box{125}
Question: In base-11, what is 8A+81? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have A + 1 = 11 in base-10. In sports, cricket teams traditionally consist of 11 players on each side. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. We have 8 + 8 + 1 = 17 in base 10. In mathematics, seventeen is a prime number, which can only be divided by 1 and itself. 17 mod 11 = 6, so the digit is 6 and the carry is 1. A leading digit is 1. So the answer is 160. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. Answer:\box{160}
Question: In base-11, what is 5A+11? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 1 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. We have 5 + 1 + 1 = 7 in base 10. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. 7 mod 11 = 7, so the digit is 7 and the carry is 0. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 70. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. Answer:\box{70}
Question: In base-11, what is 25+57? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 5 + 7 = 12 in base-10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. We have 2 + 5 + 1 = 8 in base 10. Spiders, part of the arachnid family in biology, typically have eight legs. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In computer science, a byte is typically made up of 8 bits. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is 81. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. Answer:\box{81}
Question: In base-11, what is 19+68? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 9 + 8 = 17 in base-10. Seventeen is the atomic number of chlorine in chemistry, a halogen that's widely used in disinfectants. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 17 mod 11 = 6, so the digit is 6 and the carry is 1. We have 1 + 6 + 1 = 8 in base 10. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. 8 mod 11 = 8, so the digit is 8 and the carry is 0. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is 86. In geometry, a hexagon is a six-sided polygon. Answer:\box{86}
Question: In base-11, what is 72+6A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 2 + A = 12 in base-10. In Greek mythology, the 12 labors of Hercules are a series of episodes concerning a penance carried out by Hercules. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. We have 7 + 6 + 1 = 14 in base 10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 131. One often represents the 'on' state in binary code, which underlies digital computing. Answer:\box{131}
Question: In base-11, what is 93+69? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 9 = 12 in base-10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. We have 9 + 6 + 1 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 151. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. Answer:\box{151}
Question: In base-11, what is 69+50? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 0 = 9 in base-10. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. We have 6 + 5 + 0 = 11 in base 10. In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. A leading digit is 1. So the answer is 109. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. Answer:\box{109} | 14 | 6 | fixed |
In base-11, what is 6A+66? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 125 | Math-11 | Irrelevant | Hard | Question: In base-11, what is A8+20? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 8 + 0 = 8 in base-10. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 8 mod 11 = 8, so the digit is 8 and the carry is 0. We have A + 2 + 0 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 118. In music, an octave consists of eight notes in the Western musical scale. Answer:\box{118}
Question: In base-11, what is 28+66? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 8 + 6 = 14 in base-10. In mathematics, fourteen is the number of days in a fortnight. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 14 mod 11 = 3, so the digit is 3 and the carry is 1. We have 2 + 6 + 1 = 9 in base 10. In mythology and religion, there are nine realms in Norse Cosmology. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 93. Answer:\box{93}
Question: In base-11, what is 88+71? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 8 + 1 = 9 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. We have 8 + 7 + 0 = 15 in base 10. There are 15 facial bones in the human skull (not including the mandible, or lower jaw bone). 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 149. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. Answer:\box{149}
Question: In base-11, what is 99+34? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 9 + 4 = 13 in base-10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 9 + 3 + 1 = 13 in base 10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In human anatomy, the body is largely symmetrical with two halves. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 122. Answer:\box{122}
Question: In base-11, what is 95+27? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 5 + 7 = 12 in base-10. In Greek mythology, the 12 labors of Hercules are a series of episodes concerning a penance carried out by Hercules. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. We have 9 + 2 + 1 = 12 in base 10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. A leading digit is 1. So the answer is 111. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. Answer:\box{111}
Question: In base-11, what is 92+20? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + 0 = 2 in base-10. In mathematics, an area is a two-dimensional size of a defined part of a surface. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 2 mod 11 = 2, so the digit is 2 and the carry is 0. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. We have 9 + 2 + 0 = 11 in base 10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 102. Answer:\box{102}
Question: In base-11, what is 38+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 8 + 7 = 15 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 15 mod 11 = 4, so the digit is 4 and the carry is 1. We have 3 + 6 + 1 = 10 in base 10. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is A4. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. Answer:\box{A4}
Question: In base-11, what is 51+80? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 1 + 0 = 1 in base-10. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 1 mod 11 = 1, so the digit is 1 and the carry is 0. We have 5 + 8 + 0 = 13 in base 10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Humans have two sets of each of their chromosomes, making us diploid organisms. A leading digit is 1. So the answer is 121. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. Answer:\box{121}
Question: In base-11, what is 36+4A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + A = 16 in base-10. In computer science, a 'nibble' is a four-bit aggregation, or half an octet, and two nibbles make up a byte, which is 16 bits. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 16 mod 11 = 5, so the digit is 5 and the carry is 1. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. We have 3 + 4 + 1 = 8 in base 10. In computer science, a byte is typically made up of 8 bits. 8 mod 11 = 8, so the digit is 8 and the carry is 0. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is 85. In geometry, a pentagon is a five-sided polygon. Answer:\box{85}
Question: In base-11, what is 75+28? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 5 + 8 = 13 in base-10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. We have 7 + 2 + 1 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. A leading digit is 0. So the answer is A2. In mathematics, an area is a two-dimensional size of a defined part of a surface. Answer:\box{A2} | 14 | 6 | fixed |
In base-11, what is 55+74? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 119 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 27+82? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 7 + 2 = 9 in base-10. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. We have 2 + 8 + 0 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is A9. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. Answer:\box{A9}
Question: In base-11, what is 43+74? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 3 + 4 = 7 in base-10. In biology, a rainbow is seen in seven colors due to the refraction of light. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 7 mod 11 = 7, so the digit is 7 and the carry is 0. We have 4 + 7 + 0 = 11 in base 10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). A leading digit is 1. So the answer is 107. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. Answer:\box{107}
Question: In base-11, what is A7+3A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 7 + A = 17 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In geometry, a hexagon is a six-sided polygon. We have A + 3 + 1 = 14 in base 10. In many cultures, 14 is a symbol of good luck and is often associated with romantic love, especially because of Valentine's Day occurring on February 14. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In colors, there are three primary colors: red, yellow, and blue. A leading digit is 1. So the answer is 136. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. Answer:\box{136}
Question: In base-11, what is 39+93? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 9 + 3 = 12 in base-10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. We have 3 + 9 + 1 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. A leading digit is 1. So the answer is 121. One often represents the 'on' state in binary code, which underlies digital computing. Answer:\box{121}
Question: In base-11, what is 75+68? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 5 + 8 = 13 in base-10. In mathematics, thirteen is a prime number, the 6th prime number in the series, following 2, 3, 5, 7, and 11. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 7 + 6 + 1 = 14 in base 10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 132. In mathematics, two is the smallest and first prime number. Answer:\box{132}
Question: In base-11, what is 57+90? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 7 + 0 = 7 in base-10. In biology, a rainbow is seen in seven colors due to the refraction of light. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 7 mod 11 = 7, so the digit is 7 and the carry is 0. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. We have 5 + 9 + 0 = 14 in base 10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 137. Answer:\box{137}
Question: In base-11, what is 90+63? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 0 + 3 = 3 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 3 mod 11 = 3, so the digit is 3 and the carry is 0. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. We have 9 + 6 + 0 = 15 in base 10. In binary, the decimal number 15 is represented as '1111', which is the maximum four-digit binary number. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 143. In astronomy, Earth is the third planet from the Sun in our Solar System. Answer:\box{143}
Question: In base-11, what is 78+52? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 8 + 2 = 10 in base-10. The decimal system, which is the most commonly used number system in the world, has a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. We have 7 + 5 + 0 = 12 in base 10. The 12 Zodiac signs represent different personality traits and are used in astrology. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 11A. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. Answer:\box{11A}
Question: In base-11, what is 65+A2? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 5 + 2 = 7 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 7 mod 11 = 7, so the digit is 7 and the carry is 0. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. We have 6 + A + 0 = 16 in base 10. In human biology, 16 is the number of chromosomes in the parasite that causes malaria (Plasmodium falciparum). 16 mod 11 = 5, so the digit is 5 and the carry is 1. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 157. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. Answer:\box{157}
Question: In base-11, what is A4+92? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 4 + 2 = 6 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. In geometry, a hexagon is a six-sided polygon. We have A + 9 + 0 = 19 in base 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. Eight is the atomic number of oxygen in chemistry, an element essential for human life. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 186. Six is the atomic number of carbon in chemistry, a key element for life as we know it. Answer:\box{186} | 14 | 6 | fixed |
In base-11, what is 82+63? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 135 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 49+2A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + A = 19 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 19 mod 11 = 8, so the digit is 8 and the carry is 1. Spiders, part of the arachnid family in biology, typically have eight legs. We have 4 + 2 + 1 = 7 in base 10. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 78. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. Answer:\box{78}
Question: In base-11, what is 99+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 9 + 7 = 16 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. We have 9 + 6 + 1 = 16 in base 10. In mathematics, sixteen is a square number (4^2), meaning it can be arranged in a square with four items on a side. 16 mod 11 = 5, so the digit is 5 and the carry is 1. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. A leading digit is 1. So the answer is 155. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. Answer:\box{155}
Question: In base-11, what is A7+A5? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 7 + 5 = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. We have A + A + 1 = 21 in base 10. 21 mod 11 = A, so the digit is A and the carry is 1. The number 10 is symbolic in many cultures, often representing perfection or completeness. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 1A1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. Answer:\box{1A1}
Question: In base-11, what is 22+98? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 2 + 8 = 10 in base-10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. We have 2 + 9 + 0 = 11 in base 10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 10A. Answer:\box{10A}
Question: In base-11, what is 2A+66? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have A + 6 = 16 in base-10. In computer science, hexadecimal is a base-16 number system, and it is widely used in programming. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. We have 2 + 6 + 1 = 9 in base 10. In mythology and religion, there are nine realms in Norse Cosmology. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is 95. Answer:\box{95}
Question: In base-11, what is 60+1A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 0 + A = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. The decimal system, which is the most commonly used number system in the world, has a base of 10. We have 6 + 1 + 0 = 7 in base 10. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. 7 mod 11 = 7, so the digit is 7 and the carry is 0. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 7A. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Answer:\box{7A}
Question: In base-11, what is 62+86? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + 6 = 8 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. We have 6 + 8 + 0 = 14 in base 10. Humans have 14 phalangeal bones in each hand and foot, which make up the fingers and toes. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In colors, there are three primary colors: red, yellow, and blue. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 138. In computer science, a byte is typically made up of 8 bits. Answer:\box{138}
Question: In base-11, what is 85+A8? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 5 + 8 = 13 in base-10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 8 + A + 1 = 19 in base 10. A standard basketball game consists of four quarters, each lasting 19 minutes in many high school associations. 19 mod 11 = 8, so the digit is 8 and the carry is 1. Spiders, part of the arachnid family in biology, typically have eight legs. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 182. In mathematics, an area is a two-dimensional size of a defined part of a surface. Answer:\box{182}
Question: In base-11, what is 94+34? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 4 + 4 = 8 in base-10. In computer science, a byte is typically made up of 8 bits. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 8 mod 11 = 8, so the digit is 8 and the carry is 0. We have 9 + 3 + 0 = 12 in base 10. Twelve is the atomic number of magnesium in chemistry, a crucial element for life known to be a cofactor in over 300 enzymatic reactions. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 118. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. Answer:\box{118}
Question: In base-11, what is 67+94? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 4 = 11 in base-10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. We have 6 + 9 + 1 = 16 in base 10. There are 16 ounces in a pound in the avoirdupois system of measurement. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 150. Answer:\box{150} | 14 | 6 | fixed |
In base-11, what is 35+83? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 108 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 92+65? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 2 + 5 = 7 in base-10. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. We have 9 + 6 + 0 = 15 in base 10. In mathematics, a group of 15 is known as a pentadecagon, which is a polygon with 15 sides and 15 angles. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 147. Answer:\box{147}
Question: In base-11, what is 53+52? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 2 = 5 in base-10. In geometry, a pentagon is a five-sided polygon. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 5 mod 11 = 5, so the digit is 5 and the carry is 0. Humans have five basic senses: sight, hearing, smell, taste, and touch. We have 5 + 5 + 0 = 10 in base 10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is A5. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. Answer:\box{A5}
Question: In base-11, what is 69+38? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 9 + 8 = 17 in base-10. In computer science, the '17 undecidable problems' is a list of computational problems proven to be unsolvable. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Six is the atomic number of carbon in chemistry, a key element for life as we know it. We have 6 + 3 + 1 = 10 in base 10. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is A6. Answer:\box{A6}
Question: In base-11, what is 43+65? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 5 = 8 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is a Fibonacci number and a cube number. We have 4 + 6 + 0 = 10 in base 10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is A8. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. Answer:\box{A8}
Question: In base-11, what is 52+77? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 2 + 7 = 9 in base-10. The gestation period of a human pregnancy is typically nine months. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. We have 5 + 7 + 0 = 12 in base 10. Humans typically have 12 pairs of ribs in their skeletal structure. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 119. Answer:\box{119}
Question: In base-11, what is 66+14? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 4 = 10 in base-10. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. We have 6 + 1 + 0 = 7 in base 10. 7 mod 11 = 7, so the digit is 7 and the carry is 0. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is 7A. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Answer:\box{7A}
Question: In base-11, what is 10+A2? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 0 + 2 = 2 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 2 mod 11 = 2, so the digit is 2 and the carry is 0. We have 1 + A + 0 = 11 in base 10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. 11 mod 11 = 0, so the digit is 0 and the carry is 1. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 102. Two is the base of the binary code, used extensively in computer science. Answer:\box{102}
Question: In base-11, what is 2A+83? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 3 = 13 in base-10. In many Western cultures, the number 13 is considered unlucky and is sometimes omitted from floor numbering in buildings. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, an area is a two-dimensional size of a defined part of a surface. We have 2 + 8 + 1 = 11 in base 10. In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 102. In mathematics, two is the smallest and first prime number. Answer:\box{102}
Question: In base-11, what is 38+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 8 + A = 18 in base-10. In mathematics, eighteen is the only number that equals twice the sum of its decimal digits (1+8=9, and 9*2=18). Since we're in base-11, that exceeds the maximum value of A for a single digit. 18 mod 11 = 7, so the digit is 7 and the carry is 1. We have 3 + A + 1 = 14 in base 10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 137. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. Answer:\box{137}
Question: In base-11, what is 68+40? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 8 + 0 = 8 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 8 mod 11 = 8, so the digit is 8 and the carry is 0. Spiders, part of the arachnid family in biology, typically have eight legs. We have 6 + 4 + 0 = 10 in base 10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is A8. Answer:\box{A8} | 14 | 6 | fixed |
In base-11, what is 2A+76? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | A5 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 1A+28? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have A + 8 = 18 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. We have 1 + 2 + 1 = 4 in base 10. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. 4 mod 11 = 4, so the digit is 4 and the carry is 0. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is 47. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. Answer:\box{47}
Question: In base-11, what is 58+28? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 8 + 8 = 16 in base-10. In computer science, a 'nibble' is a four-bit aggregation, or half an octet, and two nibbles make up a byte, which is 16 bits. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 16 mod 11 = 5, so the digit is 5 and the carry is 1. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. We have 5 + 2 + 1 = 8 in base 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, eight is the number of vertices of a cube. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is 85. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. Answer:\box{85}
Question: In base-11, what is 90+37? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 0 + 7 = 7 in base-10. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. We have 9 + 3 + 0 = 12 in base 10. In computer science, '12' is represented as '1100' in binary notation. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 117. Answer:\box{117}
Question: In base-11, what is AA+25? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have A + 5 = 15 in base-10. In physics, 15 is the number of known types of spin-ice configurations in a geometrically frustrated magne. Since we're in base-11, that exceeds the maximum value of A for a single digit. 15 mod 11 = 4, so the digit is 4 and the carry is 1. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. We have A + 2 + 1 = 13 in base 10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Two is the base of the binary code, used extensively in computer science. A leading digit is 1. So the answer is 124. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. Answer:\box{124}
Question: In base-11, what is 2A+53? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have A + 3 = 13 in base-10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. Since we're in base-11, that exceeds the maximum value of A for a single digit. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 2 + 5 + 1 = 8 in base 10. Eight is the atomic number of oxygen in chemistry, an element essential for human life. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In computer science, a byte is typically made up of 8 bits. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 82. Two is the base of the binary code, used extensively in computer science. Answer:\box{82}
Question: In base-11, what is 95+23? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 5 + 3 = 8 in base-10. In computer science, a byte is typically made up of 8 bits. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. We have 9 + 2 + 0 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In chemistry, pH 0 on the pH scale represents extreme acidity. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 108. Answer:\box{108}
Question: In base-11, what is A0+18? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 0 + 8 = 8 in base-10. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. Spiders, part of the arachnid family in biology, typically have eight legs. We have A + 1 + 0 = 11 in base 10. In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In chemistry, pH 0 on the pH scale represents extreme acidity. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 108. Answer:\box{108}
Question: In base-11, what is 88+58? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 8 + 8 = 16 in base-10. There are 16 ounces in a pound in the avoirdupois system of measurement. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. We have 8 + 5 + 1 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 135. Answer:\box{135}
Question: In base-11, what is 9A+60? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 0 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. We have 9 + 6 + 0 = 15 in base 10. There are 15 facial bones in the human skull (not including the mandible, or lower jaw bone). 15 mod 11 = 4, so the digit is 4 and the carry is 1. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 14A. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Answer:\box{14A}
Question: In base-11, what is 46+86? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 6 = 12 in base-10. In Greek mythology, the 12 labors of Hercules are a series of episodes concerning a penance carried out by Hercules. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. We have 4 + 8 + 1 = 13 in base 10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 121. In biology, humans have one heart, which pumps blood throughout the body. Answer:\box{121} | 14 | 6 | fixed |
In base-11, what is 88+89? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 166 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 89+76? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 6 = 15 in base-10. There are 15 facial bones in the human skull (not including the mandible, or lower jaw bone). Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 15 mod 11 = 4, so the digit is 4 and the carry is 1. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. We have 8 + 7 + 1 = 16 in base 10. Sixteen is the atomic number of sulfur in chemistry, an essential element for life found in two amino acids and two vitamins. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 154. Answer:\box{154}
Question: In base-11, what is 56+69? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 6 + 9 = 15 in base-10. Fifteen is the atomic number of phosphorus in chemistry, an essential element for life as part of DNA and RNA. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. We have 5 + 6 + 1 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. A leading digit is 1. So the answer is 114. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. Answer:\box{114}
Question: In base-11, what is 6A+70? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have A + 0 = 10 in base-10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. We have 6 + 7 + 0 = 13 in base 10. In mathematics, thirteen is a prime number, the 6th prime number in the series, following 2, 3, 5, 7, and 11. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 12A. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Answer:\box{12A}
Question: In base-11, what is 55+28? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 5 + 8 = 13 in base-10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. We have 5 + 2 + 1 = 8 in base 10. In physics, eight is the number of vertices of a cube. 8 mod 11 = 8, so the digit is 8 and the carry is 0. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 82. Answer:\box{82}
Question: In base-11, what is 62+61? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 2 + 1 = 3 in base-10. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 3 mod 11 = 3, so the digit is 3 and the carry is 0. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). We have 6 + 6 + 0 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. A leading digit is 1. So the answer is 113. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. Answer:\box{113}
Question: In base-11, what is 80+A5? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 0 + 5 = 5 in base-10. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 5 mod 11 = 5, so the digit is 5 and the carry is 0. Humans have five basic senses: sight, hearing, smell, taste, and touch. We have 8 + A + 0 = 18 in base 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 175. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. Answer:\box{175}
Question: In base-11, what is 38+A0? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 8 + 0 = 8 in base-10. Eight is the atomic number of oxygen in chemistry, an element essential for human life. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 8 mod 11 = 8, so the digit is 8 and the carry is 0. We have 3 + A + 0 = 13 in base 10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 128. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. Answer:\box{128}
Question: In base-11, what is 92+65? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + 5 = 7 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. We have 9 + 6 + 0 = 15 in base 10. There are 15 facial bones in the human skull (not including the mandible, or lower jaw bone). 15 mod 11 = 4, so the digit is 4 and the carry is 1. In geometry, a square has four equal sides and four right angles. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 147. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. Answer:\box{147}
Question: In base-11, what is 79+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 9 + A = 19 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In computer science, a byte is typically made up of 8 bits. We have 7 + A + 1 = 18 in base 10. In mathematics, eighteen is the only number that equals twice the sum of its decimal digits (1+8=9, and 9*2=18). 18 mod 11 = 7, so the digit is 7 and the carry is 1. In biology, a rainbow is seen in seven colors due to the refraction of light. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 178. Answer:\box{178}
Question: In base-11, what is A9+43? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 9 + 3 = 12 in base-10. The 12 Zodiac signs represent different personality traits and are used in astrology. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. We have A + 4 + 1 = 15 in base 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 141. Answer:\box{141} | 14 | 6 | fixed |
In base-11, what is A3+78? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 170 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 81+66? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 1 + 6 = 7 in base-10. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 7 mod 11 = 7, so the digit is 7 and the carry is 0. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. We have 8 + 6 + 0 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Physics recognises three laws of motion, first compiled by Isaac Newton. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 137. Answer:\box{137}
Question: In base-11, what is 83+35? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 5 = 8 in base-10. In physics, eight is the number of vertices of a cube. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. We have 8 + 3 + 0 = 11 in base 10. In computer science, '11' is the binary representation of the decimal number 3. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 108. Answer:\box{108}
Question: In base-11, what is 99+3A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 9 + A = 19 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In physics, eight is the number of vertices of a cube. We have 9 + 3 + 1 = 13 in base 10. In many Western cultures, the number 13 is considered unlucky and is sometimes omitted from floor numbering in buildings. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 128. Answer:\box{128}
Question: In base-11, what is 47+18? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 7 + 8 = 15 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. We have 4 + 1 + 1 = 6 in base 10. Six is the first perfect number in mathematics, where a perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself. 6 mod 11 = 6, so the digit is 6 and the carry is 0. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is 64. In geometry, a square has four equal sides and four right angles. Answer:\box{64}
Question: In base-11, what is 76+81? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 6 + 1 = 7 in base-10. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. We have 7 + 8 + 0 = 15 in base 10. In computer science, a 15-puzzle is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. So the answer is 147. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. Answer:\box{147}
Question: In base-11, what is A2+A0? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 2 + 0 = 2 in base-10. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 2 mod 11 = 2, so the digit is 2 and the carry is 0. In human anatomy, the body is largely symmetrical with two halves. We have A + A + 0 = 20 in base 10. 20 mod 11 = 9, so the digit is 9 and the carry is 1. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. A leading digit is 1. So the answer is 192. Two is the base of the binary code, used extensively in computer science. Answer:\box{192}
Question: In base-11, what is 36+25? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 6 + 5 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 3 + 2 + 1 = 6 in base 10. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. 6 mod 11 = 6, so the digit is 6 and the carry is 0. According to the Standard Model of physics, there are six types of quarks, the fundamental constituents of matter. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 60. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. Answer:\box{60}
Question: In base-11, what is 44+62? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 4 + 2 = 6 in base-10. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 6 mod 11 = 6, so the digit is 6 and the carry is 0. We have 4 + 6 + 0 = 10 in base 10. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is A6. In astronomy, Saturn is the sixth planet from the Sun in our solar system. Answer:\box{A6}
Question: In base-11, what is 86+40? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 6 + 0 = 6 in base-10. The standard guitar has six strings. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. In geometry, a hexagon is a six-sided polygon. We have 8 + 4 + 0 = 12 in base 10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 116. Answer:\box{116}
Question: In base-11, what is 93+89? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 3 + 9 = 12 in base-10. In computer science, '12' is represented as '1100' in binary notation. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. We have 9 + 8 + 1 = 18 in base 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 171. Answer:\box{171} | 14 | 6 | fixed |
In base-11, what is 57+45? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | A1 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 52+54? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + 4 = 6 in base-10. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 6 mod 11 = 6, so the digit is 6 and the carry is 0. We have 5 + 5 + 0 = 10 in base 10. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is A6. In astronomy, Saturn is the sixth planet from the Sun in our solar system. Answer:\box{A6}
Question: In base-11, what is 35+83? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 5 + 3 = 8 in base-10. In music, an octave consists of eight notes in the Western musical scale. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 8 mod 11 = 8, so the digit is 8 and the carry is 0. Eight is the atomic number of oxygen in chemistry, an element essential for human life. We have 3 + 8 + 0 = 11 in base 10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 108. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. Answer:\box{108}
Question: In base-11, what is A1+10? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + 0 = 1 in base-10. In mathematics, one is the first counting number and the starting point of the natural numbers. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 1 mod 11 = 1, so the digit is 1 and the carry is 0. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. We have A + 1 + 0 = 11 in base 10. In sports, cricket teams traditionally consist of 11 players on each side. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 101. In physics, the number one is the charge of a single unit of positive or negative electricity. Answer:\box{101}
Question: In base-11, what is 16+4A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 6 + A = 16 in base-10. In human biology, 16 is the number of chromosomes in the parasite that causes malaria (Plasmodium falciparum). Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. We have 1 + 4 + 1 = 6 in base 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is 65. In mathematics, five is the third prime number, after two and three. Answer:\box{65}
Question: In base-11, what is 87+89? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 7 + 9 = 16 in base-10. In mathematics, sixteen is a square number (4^2), meaning it can be arranged in a square with four items on a side. Since we're in base-11, that exceeds the maximum value of A for a single digit. 16 mod 11 = 5, so the digit is 5 and the carry is 1. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. We have 8 + 8 + 1 = 17 in base 10. Seventeen is the atomic number of chlorine in chemistry, a halogen that's widely used in disinfectants. 17 mod 11 = 6, so the digit is 6 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 165. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. Answer:\box{165}
Question: In base-11, what is A7+89? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 7 + 9 = 16 in base-10. Sixteen is the atomic number of sulfur in chemistry, an essential element for life found in two amino acids and two vitamins. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 16 mod 11 = 5, so the digit is 5 and the carry is 1. We have A + 8 + 1 = 19 in base 10. In human biology, the first 19 elements of the periodic table are all found in the human body. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In computer science, a byte is typically made up of 8 bits. A leading digit is 1. So the answer is 185. Humans have five basic senses: sight, hearing, smell, taste, and touch. Answer:\box{185}
Question: In base-11, what is 89+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + A = 19 in base-10. In physics, the nineteenth century marked the discovery of thermodynamics, leading to the development of the steam engine and the industrial revolution. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. We have 8 + A + 1 = 19 in base 10. In human biology, the first 19 elements of the periodic table are all found in the human body. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 188. In computer science, a byte is typically made up of 8 bits. Answer:\box{188}
Question: In base-11, what is 65+98? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 5 + 8 = 13 in base-10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, an area is a two-dimensional size of a defined part of a surface. We have 6 + 9 + 1 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In mathematics, five is the third prime number, after two and three. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 152. Answer:\box{152}
Question: In base-11, what is 70+49? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 0 + 9 = 9 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. We have 7 + 4 + 0 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 109. The gestation period of a human pregnancy is typically nine months. Answer:\box{109}
Question: In base-11, what is 73+86? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 3 + 6 = 9 in base-10. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. We have 7 + 8 + 0 = 15 in base 10. Fifteen is the atomic number of phosphorus in chemistry, an essential element for life as part of DNA and RNA. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 149. In mythology and religion, there are nine realms in Norse Cosmology. Answer:\box{149} | 14 | 6 | fixed |
In base-11, what is 9A+11? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 100 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 17+65? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 7 + 5 = 12 in base-10. Twelve is the atomic number of magnesium in chemistry, a crucial element for life known to be a cofactor in over 300 enzymatic reactions. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. We have 1 + 6 + 1 = 8 in base 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In music, an octave consists of eight notes in the Western musical scale. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is 81. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. Answer:\box{81}
Question: In base-11, what is 99+81? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 1 = 10 in base-10. The number 10 is symbolic in many cultures, often representing perfection or completeness. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. We have 9 + 8 + 0 = 17 in base 10. The 'Rule of Seventeen' in bridge is a guideline for estimating the strength of one's hand. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In geometry, a hexagon is a six-sided polygon. A leading digit is 1. So the answer is 16A. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Answer:\box{16A}
Question: In base-11, what is 95+27? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 5 + 7 = 12 in base-10. In computer science, '12' is represented as '1100' in binary notation. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 12 mod 11 = 1, so the digit is 1 and the carry is 1. One often represents the 'on' state in binary code, which underlies digital computing. We have 9 + 2 + 1 = 12 in base 10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. A leading digit is 1. So the answer is 111. Answer:\box{111}
Question: In base-11, what is 66+51? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 6 + 1 = 7 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 7 mod 11 = 7, so the digit is 7 and the carry is 0. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. We have 6 + 5 + 0 = 11 in base 10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. 11 mod 11 = 0, so the digit is 0 and the carry is 1. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. A leading digit is 1. So the answer is 107. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. Answer:\box{107}
Question: In base-11, what is A1+78? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + 8 = 9 in base-10. In mythology and religion, there are nine realms in Norse Cosmology. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 9 mod 11 = 9, so the digit is 9 and the carry is 0. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. We have A + 7 + 0 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 169. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. Answer:\box{169}
Question: In base-11, what is 83+50? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 3 + 0 = 3 in base-10. In astronomy, Earth is the third planet from the Sun in our Solar System. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 3 mod 11 = 3, so the digit is 3 and the carry is 0. We have 8 + 5 + 0 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Two is the base of the binary code, used extensively in computer science. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 123. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). Answer:\box{123}
Question: In base-11, what is 47+48? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 8 = 15 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 15 mod 11 = 4, so the digit is 4 and the carry is 1. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. We have 4 + 4 + 1 = 9 in base 10. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. 9 mod 11 = 9, so the digit is 9 and the carry is 0. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 94. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. Answer:\box{94}
Question: In base-11, what is 92+61? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 2 + 1 = 3 in base-10. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 3 mod 11 = 3, so the digit is 3 and the carry is 0. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. We have 9 + 6 + 0 = 15 in base 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 143. Answer:\box{143}
Question: In base-11, what is A0+32? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 0 + 2 = 2 in base-10. Humans have two sets of each of their chromosomes, making us diploid organisms. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 2 mod 11 = 2, so the digit is 2 and the carry is 0. In mathematics, an area is a two-dimensional size of a defined part of a surface. We have A + 3 + 0 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 122. In human anatomy, the body is largely symmetrical with two halves. Answer:\box{122}
Question: In base-11, what is 17+49? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 7 + 9 = 16 in base-10. In mathematics, sixteen is a square number (4^2), meaning it can be arranged in a square with four items on a side. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. We have 1 + 4 + 1 = 6 in base 10. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. 6 mod 11 = 6, so the digit is 6 and the carry is 0. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 65. Answer:\box{65} | 14 | 6 | fixed |
In base-11, what is 85+73? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 148 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 79+61? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 1 = 10 in base-10. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. We have 7 + 6 + 0 = 13 in base 10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, an area is a two-dimensional size of a defined part of a surface. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 12A. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Answer:\box{12A}
Question: In base-11, what is 68+14? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 8 + 4 = 12 in base-10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 12 mod 11 = 1, so the digit is 1 and the carry is 1. We have 6 + 1 + 1 = 8 in base 10. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is a Fibonacci number and a cube number. A leading digit is 0. So the answer is 81. In biology, humans have one heart, which pumps blood throughout the body. Answer:\box{81}
Question: In base-11, what is 3A+60? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have A + 0 = 10 in base-10. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. We have 3 + 6 + 0 = 9 in base 10. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. 9 mod 11 = 9, so the digit is 9 and the carry is 0. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is 9A. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Answer:\box{9A}
Question: In base-11, what is 8A+89? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have A + 9 = 19 in base-10. A standard basketball game consists of four quarters, each lasting 19 minutes in many high school associations. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In physics, eight is the number of vertices of a cube. We have 8 + 8 + 1 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In geometry, a hexagon is a six-sided polygon. A leading digit is 1. So the answer is 168. In music, an octave consists of eight notes in the Western musical scale. Answer:\box{168}
Question: In base-11, what is 68+63? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 8 + 3 = 11 in base-10. In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 11 mod 11 = 0, so the digit is 0 and the carry is 1. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. We have 6 + 6 + 1 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Humans have two sets of each of their chromosomes, making us diploid organisms. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 120. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). Answer:\box{120}
Question: In base-11, what is 25+69? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 5 + 9 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. We have 2 + 6 + 1 = 9 in base 10. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. 9 mod 11 = 9, so the digit is 9 and the carry is 0. The gestation period of a human pregnancy is typically nine months. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is 93. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. Answer:\box{93}
Question: In base-11, what is 26+97? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 6 + 7 = 13 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. We have 2 + 9 + 1 = 12 in base 10. The 12 Zodiac signs represent different personality traits and are used in astrology. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. A leading digit is 1. So the answer is 112. In astronomy, Mars, the second planet after Earth, has 2 moons. Answer:\box{112}
Question: In base-11, what is 47+A9? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 7 + 9 = 16 in base-10. There are 16 ounces in a pound in the avoirdupois system of measurement. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 16 mod 11 = 5, so the digit is 5 and the carry is 1. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. We have 4 + A + 1 = 15 in base 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. A leading digit is 1. So the answer is 145. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. Answer:\box{145}
Question: In base-11, what is 74+97? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 4 + 7 = 11 in base-10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 11 mod 11 = 0, so the digit is 0 and the carry is 1. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. We have 7 + 9 + 1 = 17 in base 10. In computer science, the Windows 17 operating system is a fictitious version, as Microsoft has not released such a version. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. A leading digit is 1. So the answer is 160. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. Answer:\box{160}
Question: In base-11, what is A2+A8? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 2 + 8 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. We have A + A + 0 = 20 in base 10. In physics, the twentieth century saw the development of quantum physics and the theory of relativity, two fundamental shifts in our understanding of the universe. 20 mod 11 = 9, so the digit is 9 and the carry is 1. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 19A. Answer:\box{19A} | 14 | 6 | fixed |
In base-11, what is 70+A0? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 160 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 67+7A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 7 + A = 17 in base-10. In computer science, the Windows 17 operating system is a fictitious version, as Microsoft has not released such a version. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. We have 6 + 7 + 1 = 14 in base 10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. A leading digit is 1. So the answer is 136. Six is the atomic number of carbon in chemistry, a key element for life as we know it. Answer:\box{136}
Question: In base-11, what is 94+47? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 4 + 7 = 11 in base-10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. We have 9 + 4 + 1 = 14 in base 10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 130. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. Answer:\box{130}
Question: In base-11, what is 20+99? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 0 + 9 = 9 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 9 mod 11 = 9, so the digit is 9 and the carry is 0. The gestation period of a human pregnancy is typically nine months. We have 2 + 9 + 0 = 11 in base 10. In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 109. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. Answer:\box{109}
Question: In base-11, what is 9A+76? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 6 = 16 in base-10. In computer science, hexadecimal is a base-16 number system, and it is widely used in programming. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. We have 9 + 7 + 1 = 17 in base 10. The 'Rule of Seventeen' in bridge is a guideline for estimating the strength of one's hand. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. A leading digit is 1. So the answer is 165. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. Answer:\box{165}
Question: In base-11, what is 27+36? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 7 + 6 = 13 in base-10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. Since we're in base-11, that exceeds the maximum value of A for a single digit. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. We have 2 + 3 + 1 = 6 in base 10. Six is the atomic number of carbon in chemistry, a key element for life as we know it. 6 mod 11 = 6, so the digit is 6 and the carry is 0. In geometry, a hexagon is a six-sided polygon. A leading digit is 0. So the answer is 62. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. Answer:\box{62}
Question: In base-11, what is 93+9A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + A = 13 in base-10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. We have 9 + 9 + 1 = 19 in base 10. A standard basketball game consists of four quarters, each lasting 19 minutes in many high school associations. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In music, an octave consists of eight notes in the Western musical scale. A leading digit is 1. So the answer is 182. Humans have two sets of each of their chromosomes, making us diploid organisms. Answer:\box{182}
Question: In base-11, what is 73+71? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 1 = 4 in base-10. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 4 mod 11 = 4, so the digit is 4 and the carry is 0. In geometry, a square has four equal sides and four right angles. We have 7 + 7 + 0 = 14 in base 10. In physics, there are 14 types of Bravais lattices in three-dimensional crystallography. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Physics recognises three laws of motion, first compiled by Isaac Newton. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 134. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. Answer:\box{134}
Question: In base-11, what is 88+12? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 8 + 2 = 10 in base-10. The number 10 is symbolic in many cultures, often representing perfection or completeness. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. We have 8 + 1 + 0 = 9 in base 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is 9A. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Answer:\box{9A}
Question: In base-11, what is A8+23? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 8 + 3 = 11 in base-10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. We have A + 2 + 1 = 13 in base 10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 120. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). Answer:\box{120}
Question: In base-11, what is A6+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + A = 16 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. We have A + A + 1 = 21 in base 10. Many cultures celebrate the 21st birthday as a significant milestone, marking the transition into full adulthood. 21 mod 11 = A, so the digit is A and the carry is 1. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 1A5. Humans have five basic senses: sight, hearing, smell, taste, and touch. Answer:\box{1A5} | 14 | 6 | fixed |
In base-11, what is 71+53? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 114 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 45+58? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 5 + 8 = 13 in base-10. A baker's dozen traditionally consists of 13 items, one more than the standard dozen. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 4 + 5 + 1 = 10 in base 10. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is A2. In human anatomy, the body is largely symmetrical with two halves. Answer:\box{A2}
Question: In base-11, what is 34+76? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 4 + 6 = 10 in base-10. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. We have 3 + 7 + 0 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is AA. The number 10 is symbolic in many cultures, often representing perfection or completeness. Answer:\box{AA}
Question: In base-11, what is A3+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 3 + 7 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. We have A + 6 + 0 = 16 in base 10. Sixteen is the atomic number of sulfur in chemistry, an essential element for life found in two amino acids and two vitamins. 16 mod 11 = 5, so the digit is 5 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 15A. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. Answer:\box{15A}
Question: In base-11, what is 33+91? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 1 = 4 in base-10. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 4 mod 11 = 4, so the digit is 4 and the carry is 0. We have 3 + 9 + 0 = 12 in base 10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 114. In geometry, a square has four equal sides and four right angles. Answer:\box{114}
Question: In base-11, what is 81+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + 7 = 8 in base-10. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 8 mod 11 = 8, so the digit is 8 and the carry is 0. Eight is the atomic number of oxygen in chemistry, an element essential for human life. We have 8 + 8 + 0 = 16 in base 10. In human biology, 16 is the number of chromosomes in the parasite that causes malaria (Plasmodium falciparum). 16 mod 11 = 5, so the digit is 5 and the carry is 1. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. A leading digit is 1. So the answer is 158. Spiders, part of the arachnid family in biology, typically have eight legs. Answer:\box{158}
Question: In base-11, what is 17+A3? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 7 + 3 = 10 in base-10. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. We have 1 + A + 0 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 10A. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Answer:\box{10A}
Question: In base-11, what is 94+37? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 4 + 7 = 11 in base-10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. We have 9 + 3 + 1 = 13 in base 10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. A leading digit is 1. So the answer is 120. Answer:\box{120}
Question: In base-11, what is 79+3A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + A = 19 in base-10. COVID-19, which stands for 'Coronavirus Disease 2019', was named for the year it was first identified. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. We have 7 + 3 + 1 = 11 in base 10. In computer science, '11' is the binary representation of the decimal number 3. 11 mod 11 = 0, so the digit is 0 and the carry is 1. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. A leading digit is 1. So the answer is 108. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. Answer:\box{108}
Question: In base-11, what is 59+34? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 9 + 4 = 13 in base-10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 5 + 3 + 1 = 9 in base 10. In mythology and religion, there are nine realms in Norse Cosmology. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is 92. Answer:\box{92}
Question: In base-11, what is A0+41? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 0 + 1 = 1 in base-10. One often represents the 'on' state in binary code, which underlies digital computing. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 1 mod 11 = 1, so the digit is 1 and the carry is 0. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. We have A + 4 + 0 = 14 in base 10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 131. Answer:\box{131} | 14 | 6 | fixed |
In base-11, what is 60+40? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | A0 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 90+57? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 0 + 7 = 7 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 7 mod 11 = 7, so the digit is 7 and the carry is 0. We have 9 + 5 + 0 = 14 in base 10. In classical music, Ludwig van Beethoven's 'Moonlight Sonata' is Piano Sonata No 14 and is one of his most famous compositions. 14 mod 11 = 3, so the digit is 3 and the carry is 1. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 137. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. Answer:\box{137}
Question: In base-11, what is 97+66? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 7 + 6 = 13 in base-10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Humans have two sets of each of their chromosomes, making us diploid organisms. We have 9 + 6 + 1 = 16 in base 10. In computer science, a 'nibble' is a four-bit aggregation, or half an octet, and two nibbles make up a byte, which is 16 bits. 16 mod 11 = 5, so the digit is 5 and the carry is 1. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 152. Answer:\box{152}
Question: In base-11, what is A1+91? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + 1 = 2 in base-10. In astronomy, Mars, the second planet after Earth, has 2 moons. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 2 mod 11 = 2, so the digit is 2 and the carry is 0. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. We have A + 9 + 0 = 19 in base 10. In human biology, the human adult skull is made up of 19 bones when the mandible (a separate bone) is included. 19 mod 11 = 8, so the digit is 8 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 182. Two is the base of the binary code, used extensively in computer science. Answer:\box{182}
Question: In base-11, what is 81+55? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + 5 = 6 in base-10. Six is the atomic number of carbon in chemistry, a key element for life as we know it. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 6 mod 11 = 6, so the digit is 6 and the carry is 0. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. We have 8 + 5 + 0 = 13 in base 10. In mathematics, thirteen is a prime number, the 6th prime number in the series, following 2, 3, 5, 7, and 11. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Two is the base of the binary code, used extensively in computer science. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 126. The standard guitar has six strings. Answer:\box{126}
Question: In base-11, what is 68+6A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 8 + A = 18 in base-10. Humans have 18 muscles in each hand, which control fine motor movements. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 18 mod 11 = 7, so the digit is 7 and the carry is 1. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. We have 6 + 6 + 1 = 13 in base 10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. So the answer is 127. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. Answer:\box{127}
Question: In base-11, what is 16+69? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 9 = 15 in base-10. In mathematics, a group of 15 is known as a pentadecagon, which is a polygon with 15 sides and 15 angles. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 15 mod 11 = 4, so the digit is 4 and the carry is 1. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. We have 1 + 6 + 1 = 8 in base 10. Eight is the atomic number of oxygen in chemistry, an element essential for human life. 8 mod 11 = 8, so the digit is 8 and the carry is 0. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 84. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. Answer:\box{84}
Question: In base-11, what is A6+93? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 3 = 9 in base-10. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. We have A + 9 + 0 = 19 in base 10. In computer science, the ISO-8859-19 standard is used for encoding Baltic languages, among others. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. A leading digit is 1. So the answer is 189. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. Answer:\box{189}
Question: In base-11, what is 87+57? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 7 + 7 = 14 in base-10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. We have 8 + 5 + 1 = 14 in base 10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Physics recognises three laws of motion, first compiled by Isaac Newton. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 133. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. Answer:\box{133}
Question: In base-11, what is 23+A1? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 3 + 1 = 4 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 4 mod 11 = 4, so the digit is 4 and the carry is 0. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. We have 2 + A + 0 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 114. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. Answer:\box{114}
Question: In base-11, what is 32+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 2 + 7 = 9 in base-10. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. We have 3 + 8 + 0 = 11 in base 10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. So the answer is 109. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. Answer:\box{109} | 14 | 6 | fixed |
In base-11, what is 16+90? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | A6 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 96+50? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 6 + 0 = 6 in base-10. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 6 mod 11 = 6, so the digit is 6 and the carry is 0. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. We have 9 + 5 + 0 = 14 in base 10. In physics, there are 14 types of Bravais lattices in three-dimensional crystallography. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 136. In geometry, a hexagon is a six-sided polygon. Answer:\box{136}
Question: In base-11, what is 58+86? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 8 + 6 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. We have 5 + 8 + 1 = 14 in base 10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Physics recognises three laws of motion, first compiled by Isaac Newton. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 133. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. Answer:\box{133}
Question: In base-11, what is A4+A4? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 4 + 4 = 8 in base-10. In music, an octave consists of eight notes in the Western musical scale. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. We have A + A + 0 = 20 in base 10. Humans normally have 20 deciduous (primary or "baby") teeth that start to appear at about six months of age. 20 mod 11 = 9, so the digit is 9 and the carry is 1. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 198. Answer:\box{198}
Question: In base-11, what is 88+1A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 8 + A = 18 in base-10. Humans have 18 muscles in each hand, which control fine motor movements. Since we're in base-11, that exceeds the maximum value of A for a single digit. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. We have 8 + 1 + 1 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is A7. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. Answer:\box{A7}
Question: In base-11, what is 1A+36? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have A + 6 = 16 in base-10. In physics, 16O (Oxygen-16) is the most abundant isotope of oxygen and accounts for about 99% of natural oxygen. Since we're in base-11, that exceeds the maximum value of A for a single digit. 16 mod 11 = 5, so the digit is 5 and the carry is 1. We have 1 + 3 + 1 = 5 in base 10. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. 5 mod 11 = 5, so the digit is 5 and the carry is 0. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is 55. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. Answer:\box{55}
Question: In base-11, what is 33+28? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 8 = 11 in base-10. In sports, cricket teams traditionally consist of 11 players on each side. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In chemistry, pH 0 on the pH scale represents extreme acidity. We have 3 + 2 + 1 = 6 in base 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. In astronomy, Saturn is the sixth planet from the Sun in our solar system. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 60. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. Answer:\box{60}
Question: In base-11, what is 83+81? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 1 = 4 in base-10. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 4 mod 11 = 4, so the digit is 4 and the carry is 0. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. We have 8 + 8 + 0 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 154. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. Answer:\box{154}
Question: In base-11, what is 27+57? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 7 + 7 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. We have 2 + 5 + 1 = 8 in base 10. Spiders, part of the arachnid family in biology, typically have eight legs. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 83. In astronomy, Earth is the third planet from the Sun in our Solar System. Answer:\box{83}
Question: In base-11, what is 28+83? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 8 + 3 = 11 in base-10. In computer science, '11' is the binary representation of the decimal number 3. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. We have 2 + 8 + 1 = 11 in base 10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). A leading digit is 1. So the answer is 100. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. Answer:\box{100}
Question: In base-11, what is 45+92? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 5 + 2 = 7 in base-10. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 7 mod 11 = 7, so the digit is 7 and the carry is 0. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. We have 4 + 9 + 0 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 127. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. Answer:\box{127} | 14 | 6 | fixed |
In base-11, what is 31+A9? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 12A | Math-11 | Irrelevant | Hard | Question: In base-11, what is 78+15? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 8 + 5 = 13 in base-10. In many Western cultures, the number 13 is considered unlucky and is sometimes omitted from floor numbering in buildings. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. We have 7 + 1 + 1 = 9 in base 10. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. 9 mod 11 = 9, so the digit is 9 and the carry is 0. A leading digit is 0. So the answer is 92. In human anatomy, the body is largely symmetrical with two halves. Answer:\box{92}
Question: In base-11, what is 97+51? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 7 + 1 = 8 in base-10. In music, an octave consists of eight notes in the Western musical scale. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. We have 9 + 5 + 0 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. A leading digit is 1. So the answer is 138. In mathematics, eight is a Fibonacci number and a cube number. Answer:\box{138}
Question: In base-11, what is 26+9A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + A = 16 in base-10. In mathematics, sixteen is a square number (4^2), and it is the fourth power of two (2^4). Since we're in base-11, that exceeds the maximum value of A for a single digit. 16 mod 11 = 5, so the digit is 5 and the carry is 1. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. We have 2 + 9 + 1 = 12 in base 10. Twelve is the atomic number of magnesium in chemistry, a crucial element for life known to be a cofactor in over 300 enzymatic reactions. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 115. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. Answer:\box{115}
Question: In base-11, what is 9A+28? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 8 = 18 in base-10. In physics, there are 18 families of elementary particles in the Standard Model. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. We have 9 + 2 + 1 = 12 in base 10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. 12 mod 11 = 1, so the digit is 1 and the carry is 1. One often represents the 'on' state in binary code, which underlies digital computing. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 117. Answer:\box{117}
Question: In base-11, what is 49+17? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 9 + 7 = 16 in base-10. In human biology, 16 is the number of chromosomes in the parasite that causes malaria (Plasmodium falciparum). Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 16 mod 11 = 5, so the digit is 5 and the carry is 1. We have 4 + 1 + 1 = 6 in base 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. Six is the first perfect number in mathematics, where a perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is 65. In geometry, a pentagon is a five-sided polygon. Answer:\box{65}
Question: In base-11, what is 74+66? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 4 + 6 = 10 in base-10. The decimal system, which is the most commonly used number system in the world, has a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. We have 7 + 6 + 0 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Humans have two sets of each of their chromosomes, making us diploid organisms. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 12A. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Answer:\box{12A}
Question: In base-11, what is 21+A7? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + 7 = 8 in base-10. In physics, eight is the number of vertices of a cube. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is a Fibonacci number and a cube number. We have 2 + A + 0 = 12 in base 10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 118. Answer:\box{118}
Question: In base-11, what is 98+14? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 8 + 4 = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. We have 9 + 1 + 1 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 101. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. Answer:\box{101}
Question: In base-11, what is 49+16? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 9 + 6 = 15 in base-10. In binary, the decimal number 15 is represented as '1111', which is the maximum four-digit binary number. Since we're in base-11, that exceeds the maximum value of A for a single digit. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. We have 4 + 1 + 1 = 6 in base 10. Six is the atomic number of carbon in chemistry, a key element for life as we know it. 6 mod 11 = 6, so the digit is 6 and the carry is 0. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. A leading digit is 0. So the answer is 64. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. Answer:\box{64}
Question: In base-11, what is A7+39? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 9 = 16 in base-10. Sixteen is the atomic number of sulfur in chemistry, an essential element for life found in two amino acids and two vitamins. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. We have A + 3 + 1 = 14 in base 10. In many cultures, 14 is a symbol of good luck and is often associated with romantic love, especially because of Valentine's Day occurring on February 14. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. A leading digit is 1. So the answer is 135. Humans have five basic senses: sight, hearing, smell, taste, and touch. Answer:\box{135} | 14 | 6 | fixed |
In base-11, what is 41+83? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 114 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 6A+55? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 5 = 15 in base-10. Fifteen is the atomic number of phosphorus in chemistry, an essential element for life as part of DNA and RNA. Since we're in base-11, that exceeds the maximum value of A for a single digit. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. We have 6 + 5 + 1 = 12 in base 10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 114. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. Answer:\box{114}
Question: In base-11, what is 58+74? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 8 + 4 = 12 in base-10. Humans typically have 12 pairs of ribs in their skeletal structure. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. We have 5 + 7 + 1 = 13 in base 10. In mathematics, thirteen is a prime number, the 6th prime number in the series, following 2, 3, 5, 7, and 11. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In human anatomy, the body is largely symmetrical with two halves. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 121. Answer:\box{121}
Question: In base-11, what is 56+54? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 6 + 4 = 10 in base-10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. We have 5 + 5 + 0 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. A leading digit is 0. So the answer is AA. The number 10 is symbolic in many cultures, often representing perfection or completeness. Answer:\box{AA}
Question: In base-11, what is 50+69? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 0 + 9 = 9 in base-10. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. We have 5 + 6 + 0 = 11 in base 10. In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 109. Answer:\box{109}
Question: In base-11, what is 77+6A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 7 + A = 17 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 17 mod 11 = 6, so the digit is 6 and the carry is 1. The standard guitar has six strings. We have 7 + 6 + 1 = 14 in base 10. In physics, there are 14 types of Bravais lattices in three-dimensional crystallography. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In colors, there are three primary colors: red, yellow, and blue. A leading digit is 1. So the answer is 136. Six is the atomic number of carbon in chemistry, a key element for life as we know it. Answer:\box{136}
Question: In base-11, what is 37+19? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 7 + 9 = 16 in base-10. In computer science, hexadecimal is a base-16 number system, and it is widely used in programming. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Humans have five basic senses: sight, hearing, smell, taste, and touch. We have 3 + 1 + 1 = 5 in base 10. 5 mod 11 = 5, so the digit is 5 and the carry is 0. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. A leading digit is 0. So the answer is 55. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. Answer:\box{55}
Question: In base-11, what is 39+92? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 2 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. We have 3 + 9 + 1 = 13 in base 10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Two is the base of the binary code, used extensively in computer science. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 120. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. Answer:\box{120}
Question: In base-11, what is 92+66? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 2 + 6 = 8 in base-10. Spiders, part of the arachnid family in biology, typically have eight legs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. We have 9 + 6 + 0 = 15 in base 10. Fifteen is the atomic number of phosphorus in chemistry, an essential element in all forms of life. 15 mod 11 = 4, so the digit is 4 and the carry is 1. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 148. Answer:\box{148}
Question: In base-11, what is 74+A9? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 4 + 9 = 13 in base-10. In many Western cultures, the number 13 is considered unlucky and is sometimes omitted from floor numbering in buildings. Since we're in base-11, that exceeds the maximum value of A for a single digit. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 7 + A + 1 = 18 in base 10. Eighteen is the atomic number of argon in chemistry, a noble gas that is colorless, odorless, and used in lighting and lasers. 18 mod 11 = 7, so the digit is 7 and the carry is 1. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 172. In mathematics, an area is a two-dimensional size of a defined part of a surface. Answer:\box{172}
Question: In base-11, what is 68+A0? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 8 + 0 = 8 in base-10. Spiders, part of the arachnid family in biology, typically have eight legs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. We have 6 + A + 0 = 16 in base 10. Sixteen is the atomic number of sulfur in chemistry, an essential element for life found in two amino acids and two vitamins. 16 mod 11 = 5, so the digit is 5 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 158. In mathematics, eight is a Fibonacci number and a cube number. Answer:\box{158} | 14 | 6 | fixed |
In base-11, what is 18+A6? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 113 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 83+88? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 3 + 8 = 11 in base-10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). We have 8 + 8 + 1 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. According to the Standard Model of physics, there are six types of quarks, the fundamental constituents of matter. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 160. Answer:\box{160}
Question: In base-11, what is 55+38? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 5 + 8 = 13 in base-10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 5 + 3 + 1 = 9 in base 10. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. 9 mod 11 = 9, so the digit is 9 and the carry is 0. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 92. Two is the base of the binary code, used extensively in computer science. Answer:\box{92}
Question: In base-11, what is 1A+5A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have A + A = 20 in base-10. Humans normally have 20 deciduous (primary or "baby") teeth that start to appear at about six months of age. Since we're in base-11, that exceeds the maximum value of A for a single digit. 20 mod 11 = 9, so the digit is 9 and the carry is 1. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. We have 1 + 5 + 1 = 7 in base 10. In biology, a rainbow is seen in seven colors due to the refraction of light. 7 mod 11 = 7, so the digit is 7 and the carry is 0. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. A leading digit is 0. So the answer is 79. The gestation period of a human pregnancy is typically nine months. Answer:\box{79}
Question: In base-11, what is 60+54? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 0 + 4 = 4 in base-10. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 4 mod 11 = 4, so the digit is 4 and the carry is 0. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. We have 6 + 5 + 0 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 104. Answer:\box{104}
Question: In base-11, what is 49+81? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 9 + 1 = 10 in base-10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. We have 4 + 8 + 0 = 12 in base 10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 11A. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Answer:\box{11A}
Question: In base-11, what is 88+85? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 8 + 5 = 13 in base-10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. We have 8 + 8 + 1 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In geometry, a hexagon is a six-sided polygon. A leading digit is 1. So the answer is 162. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. Answer:\box{162}
Question: In base-11, what is 30+7A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 0 + A = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. We have 3 + 7 + 0 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is AA. The decimal system, which is the most commonly used number system in the world, has a base of 10. Answer:\box{AA}
Question: In base-11, what is A2+33? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 2 + 3 = 5 in base-10. In geometry, a pentagon is a five-sided polygon. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 5 mod 11 = 5, so the digit is 5 and the carry is 0. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. We have A + 3 + 0 = 13 in base 10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, an area is a two-dimensional size of a defined part of a surface. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 125. Answer:\box{125}
Question: In base-11, what is 90+38? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 0 + 8 = 8 in base-10. In music, an octave consists of eight notes in the Western musical scale. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. We have 9 + 3 + 0 = 12 in base 10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 118. Answer:\box{118}
Question: In base-11, what is A0+92? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 0 + 2 = 2 in base-10. In mathematics, two is the smallest and first prime number. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 2 mod 11 = 2, so the digit is 2 and the carry is 0. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. We have A + 9 + 0 = 19 in base 10. In computer science, the ISO-8859-19 standard is used for encoding Baltic languages, among others. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In physics, eight is the number of vertices of a cube. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 182. Answer:\box{182} | 14 | 6 | fixed |
In base-11, what is 28+33? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 60 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 90+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 0 + 7 = 7 in base-10. In biology, a rainbow is seen in seven colors due to the refraction of light. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. We have 9 + 8 + 0 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 167. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. Answer:\box{167}
Question: In base-11, what is 53+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 3 + A = 13 in base-10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. We have 5 + A + 1 = 16 in base 10. In human biology, 16 is the number of chromosomes in the parasite that causes malaria (Plasmodium falciparum). 16 mod 11 = 5, so the digit is 5 and the carry is 1. A leading digit is 1. So the answer is 152. In mathematics, an area is a two-dimensional size of a defined part of a surface. Answer:\box{152}
Question: In base-11, what is 14+89? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 4 + 9 = 13 in base-10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. We have 1 + 8 + 1 = 10 in base 10. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is A2. Answer:\box{A2}
Question: In base-11, what is 59+16? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 6 = 15 in base-10. In physics, 15 is the number of known types of spin-ice configurations in a geometrically frustrated magne. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 15 mod 11 = 4, so the digit is 4 and the carry is 1. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. We have 5 + 1 + 1 = 7 in base 10. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. 7 mod 11 = 7, so the digit is 7 and the carry is 0. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. A leading digit is 0. So the answer is 74. In geometry, a square has four equal sides and four right angles. Answer:\box{74}
Question: In base-11, what is 34+47? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 4 + 7 = 11 in base-10. In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. Since we're in base-11, that exceeds the maximum value of A for a single digit. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. We have 3 + 4 + 1 = 8 in base 10. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In music, an octave consists of eight notes in the Western musical scale. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 80. Answer:\box{80}
Question: In base-11, what is 70+A0? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 0 + 0 = 0 in base-10. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 0 mod 11 = 0, so the digit is 0 and the carry is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. We have 7 + A + 0 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. According to the Standard Model of physics, there are six types of quarks, the fundamental constituents of matter. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 160. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. Answer:\box{160}
Question: In base-11, what is 75+84? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 5 + 4 = 9 in base-10. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. We have 7 + 8 + 0 = 15 in base 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 149. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. Answer:\box{149}
Question: In base-11, what is 11+7A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + A = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. We have 1 + 7 + 1 = 9 in base 10. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 90. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. Answer:\box{90}
Question: In base-11, what is 81+38? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 1 + 8 = 9 in base-10. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 9 mod 11 = 9, so the digit is 9 and the carry is 0. We have 8 + 3 + 0 = 11 in base 10. In sports, cricket teams traditionally consist of 11 players on each side. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 109. Answer:\box{109}
Question: In base-11, what is 79+3A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 9 + A = 19 in base-10. A standard basketball game consists of four quarters, each lasting 19 minutes in many high school associations. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In physics, eight is the number of vertices of a cube. We have 7 + 3 + 1 = 11 in base 10. In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 108. Answer:\box{108} | 14 | 6 | fixed |
In base-11, what is 46+77? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 112 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 20+8A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 0 + A = 10 in base-10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. We have 2 + 8 + 0 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is AA. Answer:\box{AA}
Question: In base-11, what is A5+81? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 5 + 1 = 6 in base-10. According to the Standard Model of physics, there are six types of quarks, the fundamental constituents of matter. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. We have A + 8 + 0 = 18 in base 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 176. Six is the atomic number of carbon in chemistry, a key element for life as we know it. Answer:\box{176}
Question: In base-11, what is 79+64? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 9 + 4 = 13 in base-10. In mathematics, thirteen is a prime number, the 6th prime number in the series, following 2, 3, 5, 7, and 11. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. We have 7 + 6 + 1 = 14 in base 10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 132. Answer:\box{132}
Question: In base-11, what is 79+62? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 9 + 2 = 11 in base-10. In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 11 mod 11 = 0, so the digit is 0 and the carry is 1. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. We have 7 + 6 + 1 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 130. Answer:\box{130}
Question: In base-11, what is 80+7A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 0 + A = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. We have 8 + 7 + 0 = 15 in base 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 14A. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Answer:\box{14A}
Question: In base-11, what is 73+27? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 7 = 10 in base-10. The decimal system, which is the most commonly used number system in the world, has a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. We have 7 + 2 + 0 = 9 in base 10. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. 9 mod 11 = 9, so the digit is 9 and the carry is 0. The gestation period of a human pregnancy is typically nine months. A leading digit is 0. So the answer is 9A. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. Answer:\box{9A}
Question: In base-11, what is 48+46? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 8 + 6 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. We have 4 + 4 + 1 = 9 in base 10. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. 9 mod 11 = 9, so the digit is 9 and the carry is 0. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. A leading digit is 0. So the answer is 93. In colors, there are three primary colors: red, yellow, and blue. Answer:\box{93}
Question: In base-11, what is 87+37? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 7 + 7 = 14 in base-10. Fourteen is the atomic number of silicon in chemistry, a key element used in semiconductors and various electronics. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. We have 8 + 3 + 1 = 12 in base 10. In computer science, '12' is represented as '1100' in binary notation. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. So the answer is 113. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). Answer:\box{113}
Question: In base-11, what is 93+63? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 3 + 3 = 6 in base-10. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. We have 9 + 6 + 0 = 15 in base 10. In mathematics, a group of 15 is known as a pentadecagon, which is a polygon with 15 sides and 15 angles. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 146. Answer:\box{146}
Question: In base-11, what is 40+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 0 + 7 = 7 in base-10. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 7 mod 11 = 7, so the digit is 7 and the carry is 0. We have 4 + 6 + 0 = 10 in base 10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is A7. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. Answer:\box{A7} | 14 | 6 | fixed |
In base-11, what is 16+46? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 61 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 44+37? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 4 + 7 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. We have 4 + 3 + 1 = 8 in base 10. In physics, eight is the number of vertices of a cube. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In music, an octave consists of eight notes in the Western musical scale. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 80. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. Answer:\box{80}
Question: In base-11, what is 77+92? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 2 = 9 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. We have 7 + 9 + 0 = 16 in base 10. In computer science, a 'nibble' is a four-bit aggregation, or half an octet, and two nibbles make up a byte, which is 16 bits. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 159. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. Answer:\box{159}
Question: In base-11, what is 70+A2? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 0 + 2 = 2 in base-10. In astronomy, Mars, the second planet after Earth, has 2 moons. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 2 mod 11 = 2, so the digit is 2 and the carry is 0. In human anatomy, the body is largely symmetrical with two halves. We have 7 + A + 0 = 17 in base 10. Seventeen is a Fermat prime, as it is in the form of 2^(2^n) + 1, with n = 2. 17 mod 11 = 6, so the digit is 6 and the carry is 1. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 162. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. Answer:\box{162}
Question: In base-11, what is 88+77? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 8 + 7 = 15 in base-10. In computer science, a 15-puzzle is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing. Since we're in base-11, that exceeds the maximum value of A for a single digit. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. We have 8 + 7 + 1 = 16 in base 10. There are 16 ounces in a pound in the avoirdupois system of measurement. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 154. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. Answer:\box{154}
Question: In base-11, what is 4A+88? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have A + 8 = 18 in base-10. In mathematics, eighteen is the only number that equals twice the sum of its decimal digits (1+8=9, and 9*2=18). Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 18 mod 11 = 7, so the digit is 7 and the carry is 1. We have 4 + 8 + 1 = 13 in base 10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, an area is a two-dimensional size of a defined part of a surface. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 127. Answer:\box{127}
Question: In base-11, what is 57+95? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 7 + 5 = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. We have 5 + 9 + 1 = 15 in base 10. In computer science, a 15-puzzle is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 141. Answer:\box{141}
Question: In base-11, what is 78+95? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 8 + 5 = 13 in base-10. In mathematics, thirteen is a prime number, the 6th prime number in the series, following 2, 3, 5, 7, and 11. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. We have 7 + 9 + 1 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In geometry, a hexagon is a six-sided polygon. A leading digit is 1. So the answer is 162. In astronomy, Mars, the second planet after Earth, has 2 moons. Answer:\box{162}
Question: In base-11, what is 3A+66? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have A + 6 = 16 in base-10. In mathematics, sixteen is a square number (4^2), meaning it can be arranged in a square with four items on a side. Since we're in base-11, that exceeds the maximum value of A for a single digit. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. We have 3 + 6 + 1 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is A5. In mathematics, five is the third prime number, after two and three. Answer:\box{A5}
Question: In base-11, what is 66+36? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 6 + 6 = 12 in base-10. In Greek mythology, the 12 labors of Hercules are a series of episodes concerning a penance carried out by Hercules. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. We have 6 + 3 + 1 = 10 in base 10. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is A1. In biology, humans have one heart, which pumps blood throughout the body. Answer:\box{A1}
Question: In base-11, what is 16+A5? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 6 + 5 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. We have 1 + A + 1 = 12 in base 10. The 12 Zodiac signs represent different personality traits and are used in astrology. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 110. Answer:\box{110} | 14 | 6 | fixed |
In base-11, what is A5+65? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 15A | Math-11 | Irrelevant | Hard | Question: In base-11, what is 80+61? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 0 + 1 = 1 in base-10. In mathematics, one is the first counting number and the starting point of the natural numbers. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 1 mod 11 = 1, so the digit is 1 and the carry is 0. In biology, humans have one heart, which pumps blood throughout the body. We have 8 + 6 + 0 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In colors, there are three primary colors: red, yellow, and blue. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 131. Answer:\box{131}
Question: In base-11, what is 93+7A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + A = 13 in base-10. In mathematics, thirteen is a prime number, the 6th prime number in the series, following 2, 3, 5, 7, and 11. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. We have 9 + 7 + 1 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 162. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. Answer:\box{162}
Question: In base-11, what is 7A+A2? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have A + 2 = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. We have 7 + A + 1 = 18 in base 10. Humans have 18 muscles in each hand, which control fine motor movements. 18 mod 11 = 7, so the digit is 7 and the carry is 1. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 171. In biology, humans have one heart, which pumps blood throughout the body. Answer:\box{171}
Question: In base-11, what is 79+9A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + A = 19 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In computer science, a byte is typically made up of 8 bits. We have 7 + 9 + 1 = 17 in base 10. Seventeen is a Fermat prime, as it is in the form of 2^(2^n) + 1, with n = 2. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In geometry, a hexagon is a six-sided polygon. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 168. In physics, eight is the number of vertices of a cube. Answer:\box{168}
Question: In base-11, what is 84+30? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 4 + 0 = 4 in base-10. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 4 mod 11 = 4, so the digit is 4 and the carry is 0. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. We have 8 + 3 + 0 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. A leading digit is 1. So the answer is 104. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. Answer:\box{104}
Question: In base-11, what is A1+32? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 1 + 2 = 3 in base-10. In colors, there are three primary colors: red, yellow, and blue. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 3 mod 11 = 3, so the digit is 3 and the carry is 0. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. We have A + 3 + 0 = 13 in base 10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 123. In astronomy, Earth is the third planet from the Sun in our Solar System. Answer:\box{123}
Question: In base-11, what is 78+42? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 8 + 2 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. We have 7 + 4 + 0 = 11 in base 10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 10A. Answer:\box{10A}
Question: In base-11, what is 7A+75? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 5 = 15 in base-10. In binary, the decimal number 15 is represented as '1111', which is the maximum four-digit binary number. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. We have 7 + 7 + 1 = 15 in base 10. In physics, 15 is the number of known types of spin-ice configurations in a geometrically frustrated magne. 15 mod 11 = 4, so the digit is 4 and the carry is 1. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. A leading digit is 1. So the answer is 144. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. Answer:\box{144}
Question: In base-11, what is 67+73? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 7 + 3 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. We have 6 + 7 + 0 = 13 in base 10. In many Western cultures, the number 13 is considered unlucky and is sometimes omitted from floor numbering in buildings. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 12A. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Answer:\box{12A}
Question: In base-11, what is 98+A4? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 8 + 4 = 12 in base-10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. One often represents the 'on' state in binary code, which underlies digital computing. We have 9 + A + 1 = 20 in base 10. In physics, the twentieth century saw the development of quantum physics and the theory of relativity, two fundamental shifts in our understanding of the universe. 20 mod 11 = 9, so the digit is 9 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 191. Answer:\box{191} | 14 | 6 | fixed |
In base-11, what is 8A+39? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 118 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 80+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 0 + 7 = 7 in base-10. In biology, a rainbow is seen in seven colors due to the refraction of light. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 7 mod 11 = 7, so the digit is 7 and the carry is 0. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. We have 8 + 8 + 0 = 16 in base 10. In physics, 16O (Oxygen-16) is the most abundant isotope of oxygen and accounts for about 99% of natural oxygen. 16 mod 11 = 5, so the digit is 5 and the carry is 1. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 157. Answer:\box{157}
Question: In base-11, what is 47+A3? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 3 = 10 in base-10. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. We have 4 + A + 0 = 14 in base 10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 13A. Answer:\box{13A}
Question: In base-11, what is 60+61? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 0 + 1 = 1 in base-10. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 1 mod 11 = 1, so the digit is 1 and the carry is 0. In physics, the number one is the charge of a single unit of positive or negative electricity. We have 6 + 6 + 0 = 12 in base 10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 111. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. Answer:\box{111}
Question: In base-11, what is 48+A0? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 8 + 0 = 8 in base-10. In music, an octave consists of eight notes in the Western musical scale. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. We have 4 + A + 0 = 14 in base 10. Fourteen is the atomic number of silicon in chemistry, a key element used in semiconductors and various electronics. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. A leading digit is 1. So the answer is 138. Answer:\box{138}
Question: In base-11, what is 53+86? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 3 + 6 = 9 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 9 mod 11 = 9, so the digit is 9 and the carry is 0. The gestation period of a human pregnancy is typically nine months. We have 5 + 8 + 0 = 13 in base 10. In mathematics, thirteen is a prime number, the 6th prime number in the series, following 2, 3, 5, 7, and 11. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Humans have two sets of each of their chromosomes, making us diploid organisms. A leading digit is 1. So the answer is 129. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. Answer:\box{129}
Question: In base-11, what is 44+66? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 4 + 6 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. We have 4 + 6 + 0 = 10 in base 10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. The decimal system, which is the most commonly used number system in the world, has a base of 10. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is AA. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. Answer:\box{AA}
Question: In base-11, what is 46+A4? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 6 + 4 = 10 in base-10. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. We have 4 + A + 0 = 14 in base 10. In classical music, Ludwig van Beethoven's 'Moonlight Sonata' is Piano Sonata No 14 and is one of his most famous compositions. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. A leading digit is 1. So the answer is 13A. Answer:\box{13A}
Question: In base-11, what is A3+59? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 3 + 9 = 12 in base-10. The 12 Zodiac signs represent different personality traits and are used in astrology. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. We have A + 5 + 1 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 151. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. Answer:\box{151}
Question: In base-11, what is 18+19? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 8 + 9 = 17 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. We have 1 + 1 + 1 = 3 in base 10. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). 3 mod 11 = 3, so the digit is 3 and the carry is 0. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 36. Six is the atomic number of carbon in chemistry, a key element for life as we know it. Answer:\box{36}
Question: In base-11, what is 80+58? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 0 + 8 = 8 in base-10. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 8 mod 11 = 8, so the digit is 8 and the carry is 0. We have 8 + 5 + 0 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Humans have two sets of each of their chromosomes, making us diploid organisms. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 128. Spiders, part of the arachnid family in biology, typically have eight legs. Answer:\box{128} | 14 | 6 | fixed |
In base-11, what is 91+51? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 132 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 83+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 7 = 10 in base-10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. We have 8 + 8 + 0 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In geometry, a pentagon is a five-sided polygon. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 15A. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Answer:\box{15A}
Question: In base-11, what is 71+19? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 1 + 9 = 10 in base-10. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. We have 7 + 1 + 0 = 8 in base 10. In computer science, a byte is typically made up of 8 bits. 8 mod 11 = 8, so the digit is 8 and the carry is 0. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 8A. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. Answer:\box{8A}
Question: In base-11, what is 77+46? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 6 = 13 in base-10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. We have 7 + 4 + 1 = 12 in base 10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 112. In astronomy, Mars, the second planet after Earth, has 2 moons. Answer:\box{112}
Question: In base-11, what is 23+A9? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 9 = 12 in base-10. Twelve is the atomic number of magnesium in chemistry, a crucial element for life known to be a cofactor in over 300 enzymatic reactions. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. We have 2 + A + 1 = 13 in base 10. In many Western cultures, the number 13 is considered unlucky and is sometimes omitted from floor numbering in buildings. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 121. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. Answer:\box{121}
Question: In base-11, what is 35+94? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 5 + 4 = 9 in base-10. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 9 mod 11 = 9, so the digit is 9 and the carry is 0. We have 3 + 9 + 0 = 12 in base 10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 119. In mythology and religion, there are nine realms in Norse Cosmology. Answer:\box{119}
Question: In base-11, what is 1A+58? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have A + 8 = 18 in base-10. Humans have 18 muscles in each hand, which control fine motor movements. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. We have 1 + 5 + 1 = 7 in base 10. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. 7 mod 11 = 7, so the digit is 7 and the carry is 0. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 77. Answer:\box{77}
Question: In base-11, what is 19+69? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 9 = 18 in base-10. In mathematics, eighteen is the only number that equals twice the sum of its decimal digits (1+8=9, and 9*2=18). Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. We have 1 + 6 + 1 = 8 in base 10. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In computer science, a byte is typically made up of 8 bits. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is 87. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. Answer:\box{87}
Question: In base-11, what is 75+38? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 5 + 8 = 13 in base-10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. Since we're in base-11, that exceeds the maximum value of A for a single digit. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 7 + 3 + 1 = 11 in base 10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 102. In mathematics, two is the smallest and first prime number. Answer:\box{102}
Question: In base-11, what is 6A+40? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have A + 0 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. We have 6 + 4 + 0 = 10 in base 10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is AA. Answer:\box{AA}
Question: In base-11, what is 94+70? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 4 + 0 = 4 in base-10. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 4 mod 11 = 4, so the digit is 4 and the carry is 0. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. We have 9 + 7 + 0 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 154. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. Answer:\box{154} | 14 | 6 | fixed |
In base-11, what is AA+36? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 135 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 13+A7? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 3 + 7 = 10 in base-10. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. We have 1 + A + 0 = 11 in base 10. In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. So the answer is 10A. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Answer:\box{10A}
Question: In base-11, what is 71+72? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 1 + 2 = 3 in base-10. Physics recognises three laws of motion, first compiled by Isaac Newton. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 3 mod 11 = 3, so the digit is 3 and the carry is 0. We have 7 + 7 + 0 = 14 in base 10. Fourteen is the atomic number of silicon in chemistry, a key element used in semiconductors and various electronics. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. A leading digit is 1. So the answer is 133. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). Answer:\box{133}
Question: In base-11, what is 39+29? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 9 = 18 in base-10. Eighteen is the atomic number of argon in chemistry, a noble gas that is colorless, odorless, and used in lighting and lasers. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 18 mod 11 = 7, so the digit is 7 and the carry is 1. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. We have 3 + 2 + 1 = 6 in base 10. In astronomy, Saturn is the sixth planet from the Sun in our solar system. 6 mod 11 = 6, so the digit is 6 and the carry is 0. Six is the first perfect number in mathematics, where a perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself. A leading digit is 0. So the answer is 67. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. Answer:\box{67}
Question: In base-11, what is 8A+7A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + A = 20 in base-10. Twenty is the atomic number of calcium in chemistry, an essential element for human life, crucial for bone health. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 20 mod 11 = 9, so the digit is 9 and the carry is 1. In mythology and religion, there are nine realms in Norse Cosmology. We have 8 + 7 + 1 = 16 in base 10. In computer science, a 'nibble' is a four-bit aggregation, or half an octet, and two nibbles make up a byte, which is 16 bits. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. A leading digit is 1. So the answer is 159. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. Answer:\box{159}
Question: In base-11, what is 36+37? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 6 + 7 = 13 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. We have 3 + 3 + 1 = 7 in base 10. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. 7 mod 11 = 7, so the digit is 7 and the carry is 0. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 72. Answer:\box{72}
Question: In base-11, what is 27+74? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 7 + 4 = 11 in base-10. In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. We have 2 + 7 + 1 = 10 in base 10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. A leading digit is 0. So the answer is A0. Answer:\box{A0}
Question: In base-11, what is 79+91? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 9 + 1 = 10 in base-10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. We have 7 + 9 + 0 = 16 in base 10. In computer science, hexadecimal is a base-16 number system, and it is widely used in programming. 16 mod 11 = 5, so the digit is 5 and the carry is 1. A leading digit is 1. So the answer is 15A. The decimal system, which is the most commonly used number system in the world, has a base of 10. Answer:\box{15A}
Question: In base-11, what is 49+75? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 9 + 5 = 14 in base-10. Fourteen is the atomic number of silicon in chemistry, a key element used in semiconductors and various electronics. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. We have 4 + 7 + 1 = 12 in base 10. In Greek mythology, the 12 labors of Hercules are a series of episodes concerning a penance carried out by Hercules. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 113. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). Answer:\box{113}
Question: In base-11, what is 17+38? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 7 + 8 = 15 in base-10. Fifteen is the atomic number of phosphorus in chemistry, an essential element for life as part of DNA and RNA. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. We have 1 + 3 + 1 = 5 in base 10. In geometry, a pentagon is a five-sided polygon. 5 mod 11 = 5, so the digit is 5 and the carry is 0. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. A leading digit is 0. So the answer is 54. Answer:\box{54}
Question: In base-11, what is 96+41? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 1 = 7 in base-10. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. We have 9 + 4 + 0 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 127. In biology, a rainbow is seen in seven colors due to the refraction of light. Answer:\box{127} | 14 | 6 | fixed |
In base-11, what is 49+63? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 101 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 27+37? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 7 + 7 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Physics recognises three laws of motion, first compiled by Isaac Newton. We have 2 + 3 + 1 = 6 in base 10. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. 6 mod 11 = 6, so the digit is 6 and the carry is 0. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is 63. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. Answer:\box{63}
Question: In base-11, what is 23+90? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 3 + 0 = 3 in base-10. In astronomy, Earth is the third planet from the Sun in our Solar System. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 3 mod 11 = 3, so the digit is 3 and the carry is 0. We have 2 + 9 + 0 = 11 in base 10. In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 103. Physics recognises three laws of motion, first compiled by Isaac Newton. Answer:\box{103}
Question: In base-11, what is A4+8A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 4 + A = 14 in base-10. In classical music, Ludwig van Beethoven's 'Moonlight Sonata' is Piano Sonata No 14 and is one of his most famous compositions. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 14 mod 11 = 3, so the digit is 3 and the carry is 1. We have A + 8 + 1 = 19 in base 10. In computer science, the ISO-8859-19 standard is used for encoding Baltic languages, among others. 19 mod 11 = 8, so the digit is 8 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 183. In astronomy, Earth is the third planet from the Sun in our Solar System. Answer:\box{183}
Question: In base-11, what is 73+57? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 3 + 7 = 10 in base-10. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. We have 7 + 5 + 0 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 11A. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Answer:\box{11A}
Question: In base-11, what is 1A+72? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have A + 2 = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. We have 1 + 7 + 1 = 9 in base 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 91. In biology, humans have one heart, which pumps blood throughout the body. Answer:\box{91}
Question: In base-11, what is 27+A5? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 7 + 5 = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 12 mod 11 = 1, so the digit is 1 and the carry is 1. We have 2 + A + 1 = 13 in base 10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 121. In biology, humans have one heart, which pumps blood throughout the body. Answer:\box{121}
Question: In base-11, what is 47+A3? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 7 + 3 = 10 in base-10. The decimal system, which is the most commonly used number system in the world, has a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. We have 4 + A + 0 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In colors, there are three primary colors: red, yellow, and blue. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 13A. Answer:\box{13A}
Question: In base-11, what is 28+29? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 8 + 9 = 17 in base-10. The 'Rule of Seventeen' in bridge is a guideline for estimating the strength of one's hand. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 17 mod 11 = 6, so the digit is 6 and the carry is 1. We have 2 + 2 + 1 = 5 in base 10. 5 mod 11 = 5, so the digit is 5 and the carry is 0. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is 56. According to the Standard Model of physics, there are six types of quarks, the fundamental constituents of matter. Answer:\box{56}
Question: In base-11, what is 65+92? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 5 + 2 = 7 in base-10. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 7 mod 11 = 7, so the digit is 7 and the carry is 0. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. We have 6 + 9 + 0 = 15 in base 10. In physics, 15 is the number of known types of spin-ice configurations in a geometrically frustrated magne. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 147. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. Answer:\box{147}
Question: In base-11, what is 72+1A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 2 + A = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 12 mod 11 = 1, so the digit is 1 and the carry is 1. One often represents the 'on' state in binary code, which underlies digital computing. We have 7 + 1 + 1 = 9 in base 10. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. A leading digit is 0. So the answer is 91. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. Answer:\box{91} | 14 | 6 | fixed |
In base-11, what is 78+91? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 159 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 43+A1? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 3 + 1 = 4 in base-10. In geometry, a square has four equal sides and four right angles. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 4 mod 11 = 4, so the digit is 4 and the carry is 0. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. We have 4 + A + 0 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In colors, there are three primary colors: red, yellow, and blue. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 134. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. Answer:\box{134}
Question: In base-11, what is 34+93? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 4 + 3 = 7 in base-10. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 7 mod 11 = 7, so the digit is 7 and the carry is 0. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. We have 3 + 9 + 0 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 117. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. Answer:\box{117}
Question: In base-11, what is 72+46? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 2 + 6 = 8 in base-10. Spiders, part of the arachnid family in biology, typically have eight legs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In computer science, a byte is typically made up of 8 bits. We have 7 + 4 + 0 = 11 in base 10. In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 108. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. Answer:\box{108}
Question: In base-11, what is 77+A4? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 7 + 4 = 11 in base-10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. Since we're in base-11, that exceeds the maximum value of A for a single digit. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. We have 7 + A + 1 = 18 in base 10. In Tarot, the Moon card is card number 18, representing intuition, dreams, and the unconscious. 18 mod 11 = 7, so the digit is 7 and the carry is 1. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 170. Answer:\box{170}
Question: In base-11, what is 72+65? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 2 + 5 = 7 in base-10. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 7 mod 11 = 7, so the digit is 7 and the carry is 0. We have 7 + 6 + 0 = 13 in base 10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 127. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. Answer:\box{127}
Question: In base-11, what is 9A+A6? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have A + 6 = 16 in base-10. There are 16 ounces in a pound in the avoirdupois system of measurement. Since we're in base-11, that exceeds the maximum value of A for a single digit. 16 mod 11 = 5, so the digit is 5 and the carry is 1. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. We have 9 + A + 1 = 20 in base 10. In physics, the twentieth century saw the development of quantum physics and the theory of relativity, two fundamental shifts in our understanding of the universe. 20 mod 11 = 9, so the digit is 9 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 195. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. Answer:\box{195}
Question: In base-11, what is 55+39? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 5 + 9 = 14 in base-10. In classical music, Ludwig van Beethoven's 'Moonlight Sonata' is Piano Sonata No 14 and is one of his most famous compositions. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. We have 5 + 3 + 1 = 9 in base 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. The gestation period of a human pregnancy is typically nine months. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 93. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. Answer:\box{93}
Question: In base-11, what is 16+88? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 8 = 14 in base-10. In classical music, Ludwig van Beethoven's 'Moonlight Sonata' is Piano Sonata No 14 and is one of his most famous compositions. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). We have 1 + 8 + 1 = 10 in base 10. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is A3. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. Answer:\box{A3}
Question: In base-11, what is 18+48? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 8 + 8 = 16 in base-10. In mathematics, sixteen is a square number (4^2), meaning it can be arranged in a square with four items on a side. Since we're in base-11, that exceeds the maximum value of A for a single digit. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. We have 1 + 4 + 1 = 6 in base 10. In geometry, a hexagon is a six-sided polygon. 6 mod 11 = 6, so the digit is 6 and the carry is 0. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 65. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. Answer:\box{65}
Question: In base-11, what is 1A+95? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have A + 5 = 15 in base-10. In computer science, a 15-puzzle is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. We have 1 + 9 + 1 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. A leading digit is 1. So the answer is 104. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. Answer:\box{104} | 14 | 6 | fixed |
In base-11, what is 91+81? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 162 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 87+32? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 2 = 9 in base-10. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. We have 8 + 3 + 0 = 11 in base 10. In sports, cricket teams traditionally consist of 11 players on each side. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 109. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. Answer:\box{109}
Question: In base-11, what is 66+A2? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 6 + 2 = 8 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. Spiders, part of the arachnid family in biology, typically have eight legs. We have 6 + A + 0 = 16 in base 10. In physics, 16O (Oxygen-16) is the most abundant isotope of oxygen and accounts for about 99% of natural oxygen. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Humans have five basic senses: sight, hearing, smell, taste, and touch. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 158. Answer:\box{158}
Question: In base-11, what is 6A+63? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have A + 3 = 13 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. We have 6 + 6 + 1 = 13 in base 10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 122. Two is the base of the binary code, used extensively in computer science. Answer:\box{122}
Question: In base-11, what is 23+8A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 3 + A = 13 in base-10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 2 + 8 + 1 = 11 in base 10. In sports, cricket teams traditionally consist of 11 players on each side. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). A leading digit is 1. So the answer is 102. Humans have two sets of each of their chromosomes, making us diploid organisms. Answer:\box{102}
Question: In base-11, what is A2+27? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 2 + 7 = 9 in base-10. In mythology and religion, there are nine realms in Norse Cosmology. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. We have A + 2 + 0 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. A leading digit is 1. So the answer is 119. The gestation period of a human pregnancy is typically nine months. Answer:\box{119}
Question: In base-11, what is A4+93? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 4 + 3 = 7 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 7 mod 11 = 7, so the digit is 7 and the carry is 0. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. We have A + 9 + 0 = 19 in base 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In physics, eight is the number of vertices of a cube. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 187. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. Answer:\box{187}
Question: In base-11, what is 78+50? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 8 + 0 = 8 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. We have 7 + 5 + 0 = 12 in base 10. Humans typically have 12 pairs of ribs in their skeletal structure. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. A leading digit is 1. So the answer is 118. In physics, eight is the number of vertices of a cube. Answer:\box{118}
Question: In base-11, what is 93+A5? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 5 = 8 in base-10. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. We have 9 + A + 0 = 19 in base 10. A standard basketball game consists of four quarters, each lasting 19 minutes in many high school associations. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In physics, eight is the number of vertices of a cube. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 188. In mathematics, eight is a Fibonacci number and a cube number. Answer:\box{188}
Question: In base-11, what is 56+54? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 6 + 4 = 10 in base-10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. We have 5 + 5 + 0 = 10 in base 10. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is AA. The number 10 is symbolic in many cultures, often representing perfection or completeness. Answer:\box{AA}
Question: In base-11, what is 12+A6? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + 6 = 8 in base-10. Spiders, part of the arachnid family in biology, typically have eight legs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, eight is the number of vertices of a cube. We have 1 + A + 0 = 11 in base 10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 108. In computer science, a byte is typically made up of 8 bits. Answer:\box{108} | 14 | 6 | fixed |
In base-11, what is 97+82? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 169 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 82+35? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 2 + 5 = 7 in base-10. In biology, a rainbow is seen in seven colors due to the refraction of light. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 7 mod 11 = 7, so the digit is 7 and the carry is 0. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. We have 8 + 3 + 0 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. A leading digit is 1. So the answer is 107. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. Answer:\box{107}
Question: In base-11, what is 77+66? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 6 = 13 in base-10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In human anatomy, the body is largely symmetrical with two halves. We have 7 + 6 + 1 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 132. In mathematics, an area is a two-dimensional size of a defined part of a surface. Answer:\box{132}
Question: In base-11, what is 83+26? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 3 + 6 = 9 in base-10. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 9 mod 11 = 9, so the digit is 9 and the carry is 0. We have 8 + 2 + 0 = 10 in base 10. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is A9. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. Answer:\box{A9}
Question: In base-11, what is 95+85? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 5 + 5 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. We have 9 + 8 + 0 = 17 in base 10. In human biology, the kidneys filter about 17 liters of blood every hour. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Six is the first perfect number in mathematics, where a perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 16A. Answer:\box{16A}
Question: In base-11, what is 19+A2? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 9 + 2 = 11 in base-10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. We have 1 + A + 1 = 12 in base 10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 110. Answer:\box{110}
Question: In base-11, what is 1A+49? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 9 = 19 in base-10. In physics, the nineteenth century marked the discovery of thermodynamics, leading to the development of the steam engine and the industrial revolution. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In mathematics, eight is a Fibonacci number and a cube number. We have 1 + 4 + 1 = 6 in base 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. Six is the atomic number of carbon in chemistry, a key element for life as we know it. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is 68. Spiders, part of the arachnid family in biology, typically have eight legs. Answer:\box{68}
Question: In base-11, what is 9A+35? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 5 = 15 in base-10. In mathematics, fifteen is a triangular number, meaning it can be arranged in a triangle with five items on a side. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In geometry, a square has four equal sides and four right angles. We have 9 + 3 + 1 = 13 in base 10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 124. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. Answer:\box{124}
Question: In base-11, what is 41+A9? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + 9 = 10 in base-10. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. We have 4 + A + 0 = 14 in base 10. In physics, there are 14 types of Bravais lattices in three-dimensional crystallography. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In colors, there are three primary colors: red, yellow, and blue. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 13A. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. Answer:\box{13A}
Question: In base-11, what is A0+83? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 0 + 3 = 3 in base-10. In colors, there are three primary colors: red, yellow, and blue. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 3 mod 11 = 3, so the digit is 3 and the carry is 0. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). We have A + 8 + 0 = 18 in base 10. In physics, there are 18 families of elementary particles in the Standard Model. 18 mod 11 = 7, so the digit is 7 and the carry is 1. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. A leading digit is 1. So the answer is 173. In astronomy, Earth is the third planet from the Sun in our Solar System. Answer:\box{173}
Question: In base-11, what is 95+3A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 5 + A = 15 in base-10. In computer science, a 15-puzzle is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing. Since we're in base-11, that exceeds the maximum value of A for a single digit. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. We have 9 + 3 + 1 = 13 in base 10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. A leading digit is 1. So the answer is 124. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. Answer:\box{124} | 14 | 6 | fixed |
In base-11, what is 88+62? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 13A | Math-11 | Irrelevant | Hard | Question: In base-11, what is 71+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 1 + 7 = 8 in base-10. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is a Fibonacci number and a cube number. We have 7 + 6 + 0 = 13 in base 10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 128. Answer:\box{128}
Question: In base-11, what is 4A+42? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 2 = 12 in base-10. Twelve is the atomic number of magnesium in chemistry, a crucial element for life known to be a cofactor in over 300 enzymatic reactions. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. We have 4 + 4 + 1 = 9 in base 10. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. A leading digit is 0. So the answer is 91. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. Answer:\box{91}
Question: In base-11, what is 54+69? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 4 + 9 = 13 in base-10. In mathematics, thirteen is a prime number, the 6th prime number in the series, following 2, 3, 5, 7, and 11. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 5 + 6 + 1 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 112. In human anatomy, the body is largely symmetrical with two halves. Answer:\box{112}
Question: In base-11, what is 45+A2? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 5 + 2 = 7 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 7 mod 11 = 7, so the digit is 7 and the carry is 0. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. We have 4 + A + 0 = 14 in base 10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 137. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. Answer:\box{137}
Question: In base-11, what is 96+13? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 3 = 9 in base-10. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 9 mod 11 = 9, so the digit is 9 and the carry is 0. The gestation period of a human pregnancy is typically nine months. We have 9 + 1 + 0 = 10 in base 10. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is A9. Answer:\box{A9}
Question: In base-11, what is 74+35? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 4 + 5 = 9 in base-10. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. We have 7 + 3 + 0 = 10 in base 10. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. So the answer is A9. In mythology and religion, there are nine realms in Norse Cosmology. Answer:\box{A9}
Question: In base-11, what is 81+63? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + 3 = 4 in base-10. In geometry, a square has four equal sides and four right angles. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 4 mod 11 = 4, so the digit is 4 and the carry is 0. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. We have 8 + 6 + 0 = 14 in base 10. In mathematics, fourteen is the number of days in a fortnight. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Physics recognises three laws of motion, first compiled by Isaac Newton. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 134. Answer:\box{134}
Question: In base-11, what is 3A+12? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have A + 2 = 12 in base-10. In Greek mythology, the 12 labors of Hercules are a series of episodes concerning a penance carried out by Hercules. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. We have 3 + 1 + 1 = 5 in base 10. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. 5 mod 11 = 5, so the digit is 5 and the carry is 0. A leading digit is 0. So the answer is 51. In biology, humans have one heart, which pumps blood throughout the body. Answer:\box{51}
Question: In base-11, what is 86+61? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 6 + 1 = 7 in base-10. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. We have 8 + 6 + 0 = 14 in base 10. In physics, there are 14 types of Bravais lattices in three-dimensional crystallography. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 137. Answer:\box{137}
Question: In base-11, what is 4A+A9? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have A + 9 = 19 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In music, an octave consists of eight notes in the Western musical scale. We have 4 + A + 1 = 15 in base 10. In physics, 15 is the number of known types of spin-ice configurations in a geometrically frustrated magne. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 148. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. Answer:\box{148} | 14 | 6 | fixed |
In base-11, what is 74+71? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 135 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 24+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 4 + 7 = 11 in base-10. In computer science, '11' is the binary representation of the decimal number 3. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 2 + 6 + 1 = 9 in base 10. In mythology and religion, there are nine realms in Norse Cosmology. 9 mod 11 = 9, so the digit is 9 and the carry is 0. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 90. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. Answer:\box{90}
Question: In base-11, what is 71+82? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 1 + 2 = 3 in base-10. In colors, there are three primary colors: red, yellow, and blue. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 3 mod 11 = 3, so the digit is 3 and the carry is 0. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. We have 7 + 8 + 0 = 15 in base 10. In binary, the decimal number 15 is represented as '1111', which is the maximum four-digit binary number. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In geometry, a square has four equal sides and four right angles. A leading digit is 1. So the answer is 143. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). Answer:\box{143}
Question: In base-11, what is 80+51? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 0 + 1 = 1 in base-10. In biology, humans have one heart, which pumps blood throughout the body. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 1 mod 11 = 1, so the digit is 1 and the carry is 0. One often represents the 'on' state in binary code, which underlies digital computing. We have 8 + 5 + 0 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 121. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. Answer:\box{121}
Question: In base-11, what is 90+20? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 0 + 0 = 0 in base-10. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 0 mod 11 = 0, so the digit is 0 and the carry is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. We have 9 + 2 + 0 = 11 in base 10. In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. A leading digit is 1. So the answer is 100. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. Answer:\box{100}
Question: In base-11, what is 50+98? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 0 + 8 = 8 in base-10. Eight is the atomic number of oxygen in chemistry, an element essential for human life. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In computer science, a byte is typically made up of 8 bits. We have 5 + 9 + 0 = 14 in base 10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. A leading digit is 1. So the answer is 138. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. Answer:\box{138}
Question: In base-11, what is 43+4A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 3 + A = 13 in base-10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. Since we're in base-11, that exceeds the maximum value of A for a single digit. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. We have 4 + 4 + 1 = 9 in base 10. The gestation period of a human pregnancy is typically nine months. 9 mod 11 = 9, so the digit is 9 and the carry is 0. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 92. Answer:\box{92}
Question: In base-11, what is 54+A4? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 4 + 4 = 8 in base-10. In computer science, a byte is typically made up of 8 bits. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. We have 5 + A + 0 = 15 in base 10. In mathematics, fifteen is a triangular number, meaning it can be arranged in a triangle with five items on a side. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 148. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. Answer:\box{148}
Question: In base-11, what is A6+44? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 4 = 10 in base-10. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. We have A + 4 + 0 = 14 in base 10. In classical music, Ludwig van Beethoven's 'Moonlight Sonata' is Piano Sonata No 14 and is one of his most famous compositions. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 13A. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Answer:\box{13A}
Question: In base-11, what is 97+1A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 7 + A = 17 in base-10. Seventeen is a Fermat prime, as it is in the form of 2^(2^n) + 1, with n = 2. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Six is the atomic number of carbon in chemistry, a key element for life as we know it. We have 9 + 1 + 1 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. A leading digit is 1. So the answer is 106. In geometry, a hexagon is a six-sided polygon. Answer:\box{106}
Question: In base-11, what is 56+83? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 6 + 3 = 9 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In mythology and religion, there are nine realms in Norse Cosmology. We have 5 + 8 + 0 = 13 in base 10. In mathematics, thirteen is a prime number, the 6th prime number in the series, following 2, 3, 5, 7, and 11. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 129. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. Answer:\box{129} | 14 | 6 | fixed |
In base-11, what is A8+63? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 160 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 65+97? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 5 + 7 = 12 in base-10. Humans typically have 12 pairs of ribs in their skeletal structure. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 12 mod 11 = 1, so the digit is 1 and the carry is 1. One often represents the 'on' state in binary code, which underlies digital computing. We have 6 + 9 + 1 = 16 in base 10. In mathematics, sixteen is a square number (4^2), meaning it can be arranged in a square with four items on a side. 16 mod 11 = 5, so the digit is 5 and the carry is 1. A leading digit is 1. So the answer is 151. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. Answer:\box{151}
Question: In base-11, what is 31+69? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 1 + 9 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. We have 3 + 6 + 0 = 9 in base 10. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. 9 mod 11 = 9, so the digit is 9 and the carry is 0. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 9A. Answer:\box{9A}
Question: In base-11, what is A1+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 1 + A = 11 in base-10. In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). We have A + A + 1 = 21 in base 10. Many cultures celebrate the 21st birthday as a significant milestone, marking the transition into full adulthood. 21 mod 11 = A, so the digit is A and the carry is 1. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. A leading digit is 1. So the answer is 1A0. Answer:\box{1A0}
Question: In base-11, what is 38+28? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 8 + 8 = 16 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 16 mod 11 = 5, so the digit is 5 and the carry is 1. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. We have 3 + 2 + 1 = 6 in base 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. Six is the first perfect number in mathematics, where a perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is 65. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. Answer:\box{65}
Question: In base-11, what is 92+39? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 2 + 9 = 11 in base-10. In sports, cricket teams traditionally consist of 11 players on each side. Since we're in base-11, that exceeds the maximum value of A for a single digit. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). We have 9 + 3 + 1 = 13 in base 10. A baker's dozen traditionally consists of 13 items, one more than the standard dozen. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 120. In chemistry, pH 0 on the pH scale represents extreme acidity. Answer:\box{120}
Question: In base-11, what is 55+17? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 5 + 7 = 12 in base-10. In computer science, '12' is represented as '1100' in binary notation. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 12 mod 11 = 1, so the digit is 1 and the carry is 1. We have 5 + 1 + 1 = 7 in base 10. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. 7 mod 11 = 7, so the digit is 7 and the carry is 0. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 71. Answer:\box{71}
Question: In base-11, what is 57+24? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 7 + 4 = 11 in base-10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. Since we're in base-11, that exceeds the maximum value of A for a single digit. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. We have 5 + 2 + 1 = 8 in base 10. In music, an octave consists of eight notes in the Western musical scale. 8 mod 11 = 8, so the digit is 8 and the carry is 0. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is 80. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). Answer:\box{80}
Question: In base-11, what is 26+99? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 6 + 9 = 15 in base-10. In computer science, a 15-puzzle is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 15 mod 11 = 4, so the digit is 4 and the carry is 1. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. We have 2 + 9 + 1 = 12 in base 10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. 12 mod 11 = 1, so the digit is 1 and the carry is 1. One often represents the 'on' state in binary code, which underlies digital computing. A leading digit is 1. So the answer is 114. Answer:\box{114}
Question: In base-11, what is A7+3A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 7 + A = 17 in base-10. Seventeen is a Fermat prime, as it is in the form of 2^(2^n) + 1, with n = 2. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 17 mod 11 = 6, so the digit is 6 and the carry is 1. We have A + 3 + 1 = 14 in base 10. In mathematics, fourteen is the number of days in a fortnight. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 136. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. Answer:\box{136}
Question: In base-11, what is 21+A3? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 1 + 3 = 4 in base-10. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 4 mod 11 = 4, so the digit is 4 and the carry is 0. We have 2 + A + 0 = 12 in base 10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 114. In geometry, a square has four equal sides and four right angles. Answer:\box{114} | 14 | 6 | fixed |
In base-11, what is 83+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 13A | Math-11 | Irrelevant | Hard | Question: In base-11, what is 3A+29? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have A + 9 = 19 in base-10. In computer science, the ISO-8859-19 standard is used for encoding Baltic languages, among others. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 19 mod 11 = 8, so the digit is 8 and the carry is 1. We have 3 + 2 + 1 = 6 in base 10. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. 6 mod 11 = 6, so the digit is 6 and the carry is 0. In geometry, a hexagon is a six-sided polygon. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 68. Answer:\box{68}
Question: In base-11, what is 86+90? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 6 + 0 = 6 in base-10. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 6 mod 11 = 6, so the digit is 6 and the carry is 0. We have 8 + 9 + 0 = 17 in base 10. In computer science, the '17 undecidable problems' is a list of computational problems proven to be unsolvable. 17 mod 11 = 6, so the digit is 6 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 166. In astronomy, Saturn is the sixth planet from the Sun in our solar system. Answer:\box{166}
Question: In base-11, what is A4+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 4 + 7 = 11 in base-10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). We have A + 6 + 1 = 17 in base 10. In computer science, the Windows 17 operating system is a fictitious version, as Microsoft has not released such a version. 17 mod 11 = 6, so the digit is 6 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 160. Answer:\box{160}
Question: In base-11, what is 28+1A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 8 + A = 18 in base-10. Eighteen is the atomic number of argon in chemistry, a noble gas that is colorless, odorless, and used in lighting and lasers. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. We have 2 + 1 + 1 = 4 in base 10. In geometry, a square has four equal sides and four right angles. 4 mod 11 = 4, so the digit is 4 and the carry is 0. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 47. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. Answer:\box{47}
Question: In base-11, what is 24+78? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 4 + 8 = 12 in base-10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. We have 2 + 7 + 1 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is A1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. Answer:\box{A1}
Question: In base-11, what is 34+56? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 4 + 6 = 10 in base-10. The decimal system, which is the most commonly used number system in the world, has a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. We have 3 + 5 + 0 = 8 in base 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is 8A. The number 10 is symbolic in many cultures, often representing perfection or completeness. Answer:\box{8A}
Question: In base-11, what is 41+1A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 1 + A = 11 in base-10. In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 4 + 1 + 1 = 6 in base 10. In astronomy, Saturn is the sixth planet from the Sun in our solar system. 6 mod 11 = 6, so the digit is 6 and the carry is 0. In geometry, a hexagon is a six-sided polygon. A leading digit is 0. So the answer is 60. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. Answer:\box{60}
Question: In base-11, what is 5A+73? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have A + 3 = 13 in base-10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. Since we're in base-11, that exceeds the maximum value of A for a single digit. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 5 + 7 + 1 = 13 in base 10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Two is the base of the binary code, used extensively in computer science. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 122. In astronomy, Mars, the second planet after Earth, has 2 moons. Answer:\box{122}
Question: In base-11, what is 62+82? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 2 + 2 = 4 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 4 mod 11 = 4, so the digit is 4 and the carry is 0. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. We have 6 + 8 + 0 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 134. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. Answer:\box{134}
Question: In base-11, what is 57+90? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 0 = 7 in base-10. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 7 mod 11 = 7, so the digit is 7 and the carry is 0. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. We have 5 + 9 + 0 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Physics recognises three laws of motion, first compiled by Isaac Newton. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 137. In biology, a rainbow is seen in seven colors due to the refraction of light. Answer:\box{137} | 14 | 6 | fixed |
In base-11, what is 70+80? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 140 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 41+88? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 1 + 8 = 9 in base-10. In mythology and religion, there are nine realms in Norse Cosmology. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. We have 4 + 8 + 0 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 119. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. Answer:\box{119}
Question: In base-11, what is 35+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 5 + 7 = 12 in base-10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. We have 3 + 8 + 1 = 12 in base 10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 111. Answer:\box{111}
Question: In base-11, what is 17+24? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 7 + 4 = 11 in base-10. In computer science, '11' is the binary representation of the decimal number 3. Since we're in base-11, that exceeds the maximum value of A for a single digit. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. We have 1 + 2 + 1 = 4 in base 10. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. 4 mod 11 = 4, so the digit is 4 and the carry is 0. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. A leading digit is 0. So the answer is 40. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. Answer:\box{40}
Question: In base-11, what is 1A+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have A + 7 = 17 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 17 mod 11 = 6, so the digit is 6 and the carry is 1. We have 1 + 8 + 1 = 10 in base 10. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is A6. In geometry, a hexagon is a six-sided polygon. Answer:\box{A6}
Question: In base-11, what is 71+50? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 1 + 0 = 1 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 1 mod 11 = 1, so the digit is 1 and the carry is 0. In physics, the number one is the charge of a single unit of positive or negative electricity. We have 7 + 5 + 0 = 12 in base 10. Humans typically have 12 pairs of ribs in their skeletal structure. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 111. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. Answer:\box{111}
Question: In base-11, what is 63+85? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 3 + 5 = 8 in base-10. In music, an octave consists of eight notes in the Western musical scale. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 8 mod 11 = 8, so the digit is 8 and the carry is 0. We have 6 + 8 + 0 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 138. Spiders, part of the arachnid family in biology, typically have eight legs. Answer:\box{138}
Question: In base-11, what is 74+A0? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 4 + 0 = 4 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 4 mod 11 = 4, so the digit is 4 and the carry is 0. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. We have 7 + A + 0 = 17 in base 10. Seventeen is a Fermat prime, as it is in the form of 2^(2^n) + 1, with n = 2. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In astronomy, Saturn is the sixth planet from the Sun in our solar system. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 164. Answer:\box{164}
Question: In base-11, what is 81+54? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 1 + 4 = 5 in base-10. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 5 mod 11 = 5, so the digit is 5 and the carry is 0. We have 8 + 5 + 0 = 13 in base 10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. A leading digit is 1. So the answer is 125. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. Answer:\box{125}
Question: In base-11, what is 25+78? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 5 + 8 = 13 in base-10. A baker's dozen traditionally consists of 13 items, one more than the standard dozen. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, an area is a two-dimensional size of a defined part of a surface. We have 2 + 7 + 1 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is A2. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. Answer:\box{A2}
Question: In base-11, what is 91+52? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 1 + 2 = 3 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 3 mod 11 = 3, so the digit is 3 and the carry is 0. In colors, there are three primary colors: red, yellow, and blue. We have 9 + 5 + 0 = 14 in base 10. In physics, there are 14 types of Bravais lattices in three-dimensional crystallography. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 133. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. Answer:\box{133} | 14 | 6 | fixed |
In base-11, what is 96+83? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 169 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 54+A1? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 4 + 1 = 5 in base-10. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 5 mod 11 = 5, so the digit is 5 and the carry is 0. In geometry, a pentagon is a five-sided polygon. We have 5 + A + 0 = 15 in base 10. In computer science, a 15-puzzle is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. So the answer is 145. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. Answer:\box{145}
Question: In base-11, what is 48+A6? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 8 + 6 = 14 in base-10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In colors, there are three primary colors: red, yellow, and blue. We have 4 + A + 1 = 15 in base 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 143. Answer:\box{143}
Question: In base-11, what is 7A+90? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have A + 0 = 10 in base-10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. We have 7 + 9 + 0 = 16 in base 10. In computer science, hexadecimal is a base-16 number system, and it is widely used in programming. 16 mod 11 = 5, so the digit is 5 and the carry is 1. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. A leading digit is 1. So the answer is 15A. The decimal system, which is the most commonly used number system in the world, has a base of 10. Answer:\box{15A}
Question: In base-11, what is 52+90? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 2 + 0 = 2 in base-10. In mathematics, two is the smallest and first prime number. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 2 mod 11 = 2, so the digit is 2 and the carry is 0. We have 5 + 9 + 0 = 14 in base 10. In mathematics, fourteen is the number of days in a fortnight. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. A leading digit is 1. So the answer is 132. In human anatomy, the body is largely symmetrical with two halves. Answer:\box{132}
Question: In base-11, what is 90+29? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 0 + 9 = 9 in base-10. The gestation period of a human pregnancy is typically nine months. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. We have 9 + 2 + 0 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 109. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. Answer:\box{109}
Question: In base-11, what is 36+A1? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 6 + 1 = 7 in base-10. In biology, a rainbow is seen in seven colors due to the refraction of light. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. We have 3 + A + 0 = 13 in base 10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 127. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. Answer:\box{127}
Question: In base-11, what is 24+94? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 4 + 4 = 8 in base-10. In computer science, a byte is typically made up of 8 bits. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. We have 2 + 9 + 0 = 11 in base 10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. So the answer is 108. Spiders, part of the arachnid family in biology, typically have eight legs. Answer:\box{108}
Question: In base-11, what is 4A+57? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 7 = 17 in base-10. The 'Rule of Seventeen' in bridge is a guideline for estimating the strength of one's hand. Since we're in base-11, that exceeds the maximum value of A for a single digit. 17 mod 11 = 6, so the digit is 6 and the carry is 1. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. We have 4 + 5 + 1 = 10 in base 10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is A6. Six is the atomic number of carbon in chemistry, a key element for life as we know it. Answer:\box{A6}
Question: In base-11, what is 44+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 4 + A = 14 in base-10. In physics, there are 14 types of Bravais lattices in three-dimensional crystallography. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. We have 4 + A + 1 = 15 in base 10. There are 15 facial bones in the human skull (not including the mandible, or lower jaw bone). 15 mod 11 = 4, so the digit is 4 and the carry is 1. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. A leading digit is 1. So the answer is 143. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. Answer:\box{143}
Question: In base-11, what is 66+64? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 6 + 4 = 10 in base-10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. We have 6 + 6 + 0 = 12 in base 10. Twelve is the atomic number of magnesium in chemistry, a crucial element for life known to be a cofactor in over 300 enzymatic reactions. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 11A. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Answer:\box{11A} | 14 | 6 | fixed |
In base-11, what is 73+57? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 11A | Math-11 | Irrelevant | Hard | Question: In base-11, what is 50+62? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 0 + 2 = 2 in base-10. In mathematics, two is the smallest and first prime number. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 2 mod 11 = 2, so the digit is 2 and the carry is 0. Humans have two sets of each of their chromosomes, making us diploid organisms. We have 5 + 6 + 0 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 102. Answer:\box{102}
Question: In base-11, what is 37+44? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 7 + 4 = 11 in base-10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 3 + 4 + 1 = 8 in base 10. In mathematics, eight is a Fibonacci number and a cube number. 8 mod 11 = 8, so the digit is 8 and the carry is 0. Spiders, part of the arachnid family in biology, typically have eight legs. A leading digit is 0. So the answer is 80. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. Answer:\box{80}
Question: In base-11, what is 41+39? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 1 + 9 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. We have 4 + 3 + 0 = 7 in base 10. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is 7A. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. Answer:\box{7A}
Question: In base-11, what is 38+39? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 8 + 9 = 17 in base-10. In human biology, the kidneys filter about 17 liters of blood every hour. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 17 mod 11 = 6, so the digit is 6 and the carry is 1. We have 3 + 3 + 1 = 7 in base 10. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. 7 mod 11 = 7, so the digit is 7 and the carry is 0. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 76. In geometry, a hexagon is a six-sided polygon. Answer:\box{76}
Question: In base-11, what is 17+9A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 7 + A = 17 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Six is the first perfect number in mathematics, where a perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself. We have 1 + 9 + 1 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 106. In geometry, a hexagon is a six-sided polygon. Answer:\box{106}
Question: In base-11, what is 24+16? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 4 + 6 = 10 in base-10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. We have 2 + 1 + 0 = 3 in base 10. Physics recognises three laws of motion, first compiled by Isaac Newton. 3 mod 11 = 3, so the digit is 3 and the carry is 0. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). A leading digit is 0. So the answer is 3A. Answer:\box{3A}
Question: In base-11, what is 96+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 6 + 7 = 13 in base-10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 9 + 8 + 1 = 18 in base 10. In computer science, the UTF-18 character set is a proposed extension of the Unicode standard to include a wider range of characters. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. A leading digit is 1. So the answer is 172. In human anatomy, the body is largely symmetrical with two halves. Answer:\box{172}
Question: In base-11, what is 5A+A2? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have A + 2 = 12 in base-10. Twelve is the atomic number of magnesium in chemistry, a crucial element for life known to be a cofactor in over 300 enzymatic reactions. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. We have 5 + A + 1 = 16 in base 10. In physics, 16O (Oxygen-16) is the most abundant isotope of oxygen and accounts for about 99% of natural oxygen. 16 mod 11 = 5, so the digit is 5 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 151. In physics, the number one is the charge of a single unit of positive or negative electricity. Answer:\box{151}
Question: In base-11, what is 47+64? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 7 + 4 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 4 + 6 + 1 = 11 in base 10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. 11 mod 11 = 0, so the digit is 0 and the carry is 1. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 100. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. Answer:\box{100}
Question: In base-11, what is A5+21? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 5 + 1 = 6 in base-10. According to the Standard Model of physics, there are six types of quarks, the fundamental constituents of matter. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 6 mod 11 = 6, so the digit is 6 and the carry is 0. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. We have A + 2 + 0 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. A leading digit is 1. So the answer is 116. Six is the atomic number of carbon in chemistry, a key element for life as we know it. Answer:\box{116} | 14 | 6 | fixed |
In base-11, what is 82+47? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 119 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 75+92? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 5 + 2 = 7 in base-10. In biology, a rainbow is seen in seven colors due to the refraction of light. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 7 mod 11 = 7, so the digit is 7 and the carry is 0. We have 7 + 9 + 0 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In geometry, a pentagon is a five-sided polygon. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 157. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. Answer:\box{157}
Question: In base-11, what is 42+A8? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 2 + 8 = 10 in base-10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. We have 4 + A + 0 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. A leading digit is 1. So the answer is 13A. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. Answer:\box{13A}
Question: In base-11, what is 5A+30? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 0 = 10 in base-10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. We have 5 + 3 + 0 = 8 in base 10. In computer science, a byte is typically made up of 8 bits. 8 mod 11 = 8, so the digit is 8 and the carry is 0. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 8A. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Answer:\box{8A}
Question: In base-11, what is 70+85? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 0 + 5 = 5 in base-10. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 5 mod 11 = 5, so the digit is 5 and the carry is 0. We have 7 + 8 + 0 = 15 in base 10. Fifteen is the atomic number of phosphorus in chemistry, an essential element for life as part of DNA and RNA. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 145. Answer:\box{145}
Question: In base-11, what is 15+6A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 5 + A = 15 in base-10. In computer science, a 15-puzzle is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. We have 1 + 6 + 1 = 8 in base 10. Eight is the atomic number of oxygen in chemistry, an element essential for human life. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, eight is the number of vertices of a cube. A leading digit is 0. So the answer is 84. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. Answer:\box{84}
Question: In base-11, what is 89+43? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 9 + 3 = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. We have 8 + 4 + 1 = 13 in base 10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 121. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. Answer:\box{121}
Question: In base-11, what is 3A+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 7 = 17 in base-10. In computer science, the '17 undecidable problems' is a list of computational problems proven to be unsolvable. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In astronomy, Saturn is the sixth planet from the Sun in our solar system. We have 3 + 8 + 1 = 12 in base 10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 116. Answer:\box{116}
Question: In base-11, what is 49+17? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 9 + 7 = 16 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 16 mod 11 = 5, so the digit is 5 and the carry is 1. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. We have 4 + 1 + 1 = 6 in base 10. Six is the atomic number of carbon in chemistry, a key element for life as we know it. 6 mod 11 = 6, so the digit is 6 and the carry is 0. In geometry, a hexagon is a six-sided polygon. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 65. Answer:\box{65}
Question: In base-11, what is 65+39? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 5 + 9 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. We have 6 + 3 + 1 = 10 in base 10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is A3. Answer:\box{A3}
Question: In base-11, what is AA+79? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have A + 9 = 19 in base-10. In human biology, the human adult skull is made up of 19 bones when the mandible (a separate bone) is included. Since we're in base-11, that exceeds the maximum value of A for a single digit. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In computer science, a byte is typically made up of 8 bits. We have A + 7 + 1 = 18 in base 10. In the Jewish tradition, the number 18 symbolizes 'chai', which means 'life' in Hebrew. 18 mod 11 = 7, so the digit is 7 and the carry is 1. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. A leading digit is 1. So the answer is 178. In physics, eight is the number of vertices of a cube. Answer:\box{178} | 14 | 6 | fixed |
In base-11, what is 55+89? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 133 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 72+97? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 2 + 7 = 9 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In mythology and religion, there are nine realms in Norse Cosmology. We have 7 + 9 + 0 = 16 in base 10. In physics, 16O (Oxygen-16) is the most abundant isotope of oxygen and accounts for about 99% of natural oxygen. 16 mod 11 = 5, so the digit is 5 and the carry is 1. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. A leading digit is 1. So the answer is 159. The gestation period of a human pregnancy is typically nine months. Answer:\box{159}
Question: In base-11, what is 60+65? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 0 + 5 = 5 in base-10. Humans have five basic senses: sight, hearing, smell, taste, and touch. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 5 mod 11 = 5, so the digit is 5 and the carry is 0. We have 6 + 6 + 0 = 12 in base 10. The 12 Zodiac signs represent different personality traits and are used in astrology. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 115. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. Answer:\box{115}
Question: In base-11, what is 92+69? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + 9 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. We have 9 + 6 + 1 = 16 in base 10. In computer science, hexadecimal is a base-16 number system, and it is widely used in programming. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In mathematics, five is the third prime number, after two and three. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 150. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). Answer:\box{150}
Question: In base-11, what is A7+77? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 7 + 7 = 14 in base-10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Physics recognises three laws of motion, first compiled by Isaac Newton. We have A + 7 + 1 = 18 in base 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 173. Answer:\box{173}
Question: In base-11, what is 6A+98? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have A + 8 = 18 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. We have 6 + 9 + 1 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 157. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. Answer:\box{157}
Question: In base-11, what is 87+15? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 5 = 12 in base-10. The 12 Zodiac signs represent different personality traits and are used in astrology. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. We have 8 + 1 + 1 = 10 in base 10. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is A1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. Answer:\box{A1}
Question: In base-11, what is AA+57? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have A + 7 = 17 in base-10. The 'Rule of Seventeen' in bridge is a guideline for estimating the strength of one's hand. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In astronomy, Saturn is the sixth planet from the Sun in our solar system. We have A + 5 + 1 = 16 in base 10. In computer science, a 'nibble' is a four-bit aggregation, or half an octet, and two nibbles make up a byte, which is 16 bits. 16 mod 11 = 5, so the digit is 5 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 156. Answer:\box{156}
Question: In base-11, what is 86+94? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 4 = 10 in base-10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. We have 8 + 9 + 0 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Six is the first perfect number in mathematics, where a perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 16A. The decimal system, which is the most commonly used number system in the world, has a base of 10. Answer:\box{16A}
Question: In base-11, what is 52+29? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + 9 = 11 in base-10. In computer science, '11' is the binary representation of the decimal number 3. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. We have 5 + 2 + 1 = 8 in base 10. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, eight is the number of vertices of a cube. A leading digit is 0. So the answer is 80. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. Answer:\box{80}
Question: In base-11, what is 74+81? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 4 + 1 = 5 in base-10. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 5 mod 11 = 5, so the digit is 5 and the carry is 0. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. We have 7 + 8 + 0 = 15 in base 10. Fifteen is the atomic number of phosphorus in chemistry, an essential element in all forms of life. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In geometry, a square has four equal sides and four right angles. A leading digit is 1. So the answer is 145. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. Answer:\box{145} | 14 | 6 | fixed |
In base-11, what is 38+23? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 60 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 50+1A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 0 + A = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. We have 5 + 1 + 0 = 6 in base 10. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. 6 mod 11 = 6, so the digit is 6 and the carry is 0. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 6A. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Answer:\box{6A}
Question: In base-11, what is 82+50? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 2 + 0 = 2 in base-10. Two is the base of the binary code, used extensively in computer science. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 2 mod 11 = 2, so the digit is 2 and the carry is 0. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. We have 8 + 5 + 0 = 13 in base 10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In human anatomy, the body is largely symmetrical with two halves. A leading digit is 1. So the answer is 122. Answer:\box{122}
Question: In base-11, what is 77+26? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 7 + 6 = 13 in base-10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Humans have two sets of each of their chromosomes, making us diploid organisms. We have 7 + 2 + 1 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is A2. Answer:\box{A2}
Question: In base-11, what is 80+A5? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 0 + 5 = 5 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 5 mod 11 = 5, so the digit is 5 and the carry is 0. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. We have 8 + A + 0 = 18 in base 10. Humans have 18 muscles in each hand, which control fine motor movements. 18 mod 11 = 7, so the digit is 7 and the carry is 1. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 175. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. Answer:\box{175}
Question: In base-11, what is 20+6A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 0 + A = 10 in base-10. The number 10 is symbolic in many cultures, often representing perfection or completeness. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. We have 2 + 6 + 0 = 8 in base 10. In music, an octave consists of eight notes in the Western musical scale. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, eight is the number of vertices of a cube. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is 8A. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Answer:\box{8A}
Question: In base-11, what is 95+86? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 5 + 6 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. We have 9 + 8 + 1 = 18 in base 10. In the Jewish tradition, the number 18 symbolizes 'chai', which means 'life' in Hebrew. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. A leading digit is 1. So the answer is 170. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. Answer:\box{170}
Question: In base-11, what is A4+93? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 4 + 3 = 7 in base-10. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. We have A + 9 + 0 = 19 in base 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 187. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. Answer:\box{187}
Question: In base-11, what is 89+45? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 9 + 5 = 14 in base-10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. We have 8 + 4 + 1 = 13 in base 10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Two is the base of the binary code, used extensively in computer science. A leading digit is 1. So the answer is 123. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. Answer:\box{123}
Question: In base-11, what is 70+97? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 0 + 7 = 7 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 7 mod 11 = 7, so the digit is 7 and the carry is 0. We have 7 + 9 + 0 = 16 in base 10. There are 16 ounces in a pound in the avoirdupois system of measurement. 16 mod 11 = 5, so the digit is 5 and the carry is 1. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 157. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. Answer:\box{157}
Question: In base-11, what is AA+91? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 1 = 11 in base-10. In computer science, '11' is the binary representation of the decimal number 3. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. We have A + 9 + 1 = 20 in base 10. Humans normally have 20 deciduous (primary or "baby") teeth that start to appear at about six months of age. 20 mod 11 = 9, so the digit is 9 and the carry is 1. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 190. Answer:\box{190} | 14 | 6 | fixed |
In base-11, what is 35+15? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 4A | Math-11 | Irrelevant | Hard | Question: In base-11, what is 57+80? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 7 + 0 = 7 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 7 mod 11 = 7, so the digit is 7 and the carry is 0. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. We have 5 + 8 + 0 = 13 in base 10. In mathematics, thirteen is a prime number, the 6th prime number in the series, following 2, 3, 5, 7, and 11. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 127. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. Answer:\box{127}
Question: In base-11, what is 58+A4? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 8 + 4 = 12 in base-10. In Greek mythology, the 12 labors of Hercules are a series of episodes concerning a penance carried out by Hercules. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. We have 5 + A + 1 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 151. One often represents the 'on' state in binary code, which underlies digital computing. Answer:\box{151}
Question: In base-11, what is 27+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 7 = 14 in base-10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 14 mod 11 = 3, so the digit is 3 and the carry is 1. We have 2 + 8 + 1 = 11 in base 10. In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). 11 mod 11 = 0, so the digit is 0 and the carry is 1. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 103. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. Answer:\box{103}
Question: In base-11, what is 48+75? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 8 + 5 = 13 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In human anatomy, the body is largely symmetrical with two halves. We have 4 + 7 + 1 = 12 in base 10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 112. In astronomy, Mars, the second planet after Earth, has 2 moons. Answer:\box{112}
Question: In base-11, what is 13+92? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 3 + 2 = 5 in base-10. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 5 mod 11 = 5, so the digit is 5 and the carry is 0. Humans have five basic senses: sight, hearing, smell, taste, and touch. We have 1 + 9 + 0 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. A leading digit is 0. So the answer is A5. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. Answer:\box{A5}
Question: In base-11, what is 20+82? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 0 + 2 = 2 in base-10. Humans have two sets of each of their chromosomes, making us diploid organisms. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 2 mod 11 = 2, so the digit is 2 and the carry is 0. We have 2 + 8 + 0 = 10 in base 10. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is A2. In mathematics, an area is a two-dimensional size of a defined part of a surface. Answer:\box{A2}
Question: In base-11, what is 81+73? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 1 + 3 = 4 in base-10. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 4 mod 11 = 4, so the digit is 4 and the carry is 0. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. We have 8 + 7 + 0 = 15 in base 10. There are 15 facial bones in the human skull (not including the mandible, or lower jaw bone). 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. So the answer is 144. In geometry, a square has four equal sides and four right angles. Answer:\box{144}
Question: In base-11, what is 17+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 7 + A = 17 in base-10. In physics, group 17 elements in the periodic table are known as the halogens, which include fluorine and chlorine. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 17 mod 11 = 6, so the digit is 6 and the carry is 1. According to the Standard Model of physics, there are six types of quarks, the fundamental constituents of matter. We have 1 + A + 1 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 116. Answer:\box{116}
Question: In base-11, what is 33+A9? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 3 + 9 = 12 in base-10. Twelve is the atomic number of magnesium in chemistry, a crucial element for life known to be a cofactor in over 300 enzymatic reactions. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. We have 3 + A + 1 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 131. Answer:\box{131}
Question: In base-11, what is 69+70? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 9 + 0 = 9 in base-10. The gestation period of a human pregnancy is typically nine months. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. We have 6 + 7 + 0 = 13 in base 10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 129. Answer:\box{129} | 14 | 6 | fixed |
In base-11, what is A2+86? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 178 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 15+59? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 5 + 9 = 14 in base-10. In many cultures, 14 is a symbol of good luck and is often associated with romantic love, especially because of Valentine's Day occurring on February 14. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. We have 1 + 5 + 1 = 7 in base 10. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. 7 mod 11 = 7, so the digit is 7 and the carry is 0. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is 73. Answer:\box{73}
Question: In base-11, what is 6A+46? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have A + 6 = 16 in base-10. In human biology, 16 is the number of chromosomes in the parasite that causes malaria (Plasmodium falciparum). Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 16 mod 11 = 5, so the digit is 5 and the carry is 1. We have 6 + 4 + 1 = 11 in base 10. In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 105. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. Answer:\box{105}
Question: In base-11, what is 40+A8? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 0 + 8 = 8 in base-10. In mathematics, eight is a Fibonacci number and a cube number. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In computer science, a byte is typically made up of 8 bits. We have 4 + A + 0 = 14 in base 10. In classical music, Ludwig van Beethoven's 'Moonlight Sonata' is Piano Sonata No 14 and is one of his most famous compositions. 14 mod 11 = 3, so the digit is 3 and the carry is 1. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). A leading digit is 1. So the answer is 138. Eight is the atomic number of oxygen in chemistry, an element essential for human life. Answer:\box{138}
Question: In base-11, what is 79+75? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 9 + 5 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 14 mod 11 = 3, so the digit is 3 and the carry is 1. We have 7 + 7 + 1 = 15 in base 10. Fifteen is the atomic number of phosphorus in chemistry, an essential element in all forms of life. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 143. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. Answer:\box{143}
Question: In base-11, what is 24+26? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 4 + 6 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. We have 2 + 2 + 0 = 4 in base 10. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. 4 mod 11 = 4, so the digit is 4 and the carry is 0. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. A leading digit is 0. So the answer is 4A. The decimal system, which is the most commonly used number system in the world, has a base of 10. Answer:\box{4A}
Question: In base-11, what is 61+46? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 1 + 6 = 7 in base-10. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 7 mod 11 = 7, so the digit is 7 and the carry is 0. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. We have 6 + 4 + 0 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is A7. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. Answer:\box{A7}
Question: In base-11, what is 62+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 2 + A = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 12 mod 11 = 1, so the digit is 1 and the carry is 1. We have 6 + A + 1 = 17 in base 10. In computer science, the '17 undecidable problems' is a list of computational problems proven to be unsolvable. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Six is the first perfect number in mathematics, where a perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 161. One often represents the 'on' state in binary code, which underlies digital computing. Answer:\box{161}
Question: In base-11, what is 28+74? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 8 + 4 = 12 in base-10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. We have 2 + 7 + 1 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is A1. In mathematics, one is the first counting number and the starting point of the natural numbers. Answer:\box{A1}
Question: In base-11, what is 67+61? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 7 + 1 = 8 in base-10. In music, an octave consists of eight notes in the Western musical scale. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 8 mod 11 = 8, so the digit is 8 and the carry is 0. We have 6 + 6 + 0 = 12 in base 10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 118. In computer science, a byte is typically made up of 8 bits. Answer:\box{118}
Question: In base-11, what is 87+44? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 4 = 11 in base-10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). We have 8 + 4 + 1 = 13 in base 10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Two is the base of the binary code, used extensively in computer science. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 120. Answer:\box{120} | 14 | 6 | fixed |
In base-11, what is 46+83? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 119 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 90+89? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 0 + 9 = 9 in base-10. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. We have 9 + 8 + 0 = 17 in base 10. Seventeen is a Fermat prime, as it is in the form of 2^(2^n) + 1, with n = 2. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In astronomy, Saturn is the sixth planet from the Sun in our solar system. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 169. In mythology and religion, there are nine realms in Norse Cosmology. Answer:\box{169}
Question: In base-11, what is 72+90? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 2 + 0 = 2 in base-10. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 2 mod 11 = 2, so the digit is 2 and the carry is 0. Two is the base of the binary code, used extensively in computer science. We have 7 + 9 + 0 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 152. In human anatomy, the body is largely symmetrical with two halves. Answer:\box{152}
Question: In base-11, what is 62+53? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 2 + 3 = 5 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 5 mod 11 = 5, so the digit is 5 and the carry is 0. Humans have five basic senses: sight, hearing, smell, taste, and touch. We have 6 + 5 + 0 = 11 in base 10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 105. Answer:\box{105}
Question: In base-11, what is 37+71? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 7 + 1 = 8 in base-10. In physics, eight is the number of vertices of a cube. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. We have 3 + 7 + 0 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is A8. In music, an octave consists of eight notes in the Western musical scale. Answer:\box{A8}
Question: In base-11, what is 45+5A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 5 + A = 15 in base-10. In computer science, a 15-puzzle is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. We have 4 + 5 + 1 = 10 in base 10. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is A4. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. Answer:\box{A4}
Question: In base-11, what is 95+5A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 5 + A = 15 in base-10. In physics, 15 is the number of known types of spin-ice configurations in a geometrically frustrated magne. Since we're in base-11, that exceeds the maximum value of A for a single digit. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. We have 9 + 5 + 1 = 15 in base 10. In mathematics, a group of 15 is known as a pentadecagon, which is a polygon with 15 sides and 15 angles. 15 mod 11 = 4, so the digit is 4 and the carry is 1. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 144. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. Answer:\box{144}
Question: In base-11, what is 22+99? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 2 + 9 = 11 in base-10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 2 + 9 + 1 = 12 in base 10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 110. Answer:\box{110}
Question: In base-11, what is 30+73? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 0 + 3 = 3 in base-10. Physics recognises three laws of motion, first compiled by Isaac Newton. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 3 mod 11 = 3, so the digit is 3 and the carry is 0. We have 3 + 7 + 0 = 10 in base 10. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is A3. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. Answer:\box{A3}
Question: In base-11, what is 91+55? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 1 + 5 = 6 in base-10. Six is the first perfect number in mathematics, where a perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 6 mod 11 = 6, so the digit is 6 and the carry is 0. In geometry, a hexagon is a six-sided polygon. We have 9 + 5 + 0 = 14 in base 10. Fourteen is the atomic number of silicon in chemistry, a key element used in semiconductors and various electronics. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 136. Answer:\box{136}
Question: In base-11, what is 62+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 2 + 7 = 9 in base-10. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 9 mod 11 = 9, so the digit is 9 and the carry is 0. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. We have 6 + 8 + 0 = 14 in base 10. In many cultures, 14 is a symbol of good luck and is often associated with romantic love, especially because of Valentine's Day occurring on February 14. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 139. Answer:\box{139} | 14 | 6 | fixed |
In base-11, what is 36+15? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 50 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 54+A6? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 4 + 6 = 10 in base-10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. We have 5 + A + 0 = 15 in base 10. In binary, the decimal number 15 is represented as '1111', which is the maximum four-digit binary number. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. A leading digit is 1. So the answer is 14A. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. Answer:\box{14A}
Question: In base-11, what is 40+70? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 0 + 0 = 0 in base-10. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 0 mod 11 = 0, so the digit is 0 and the carry is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. We have 4 + 7 + 0 = 11 in base 10. In computer science, '11' is the binary representation of the decimal number 3. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 100. In chemistry, pH 0 on the pH scale represents extreme acidity. Answer:\box{100}
Question: In base-11, what is 27+65? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 7 + 5 = 12 in base-10. In computer science, '12' is represented as '1100' in binary notation. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. We have 2 + 6 + 1 = 9 in base 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 91. Answer:\box{91}
Question: In base-11, what is 2A+A2? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 2 = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 12 mod 11 = 1, so the digit is 1 and the carry is 1. One often represents the 'on' state in binary code, which underlies digital computing. We have 2 + A + 1 = 13 in base 10. A baker's dozen traditionally consists of 13 items, one more than the standard dozen. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 121. In physics, the number one is the charge of a single unit of positive or negative electricity. Answer:\box{121}
Question: In base-11, what is 89+23? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 9 + 3 = 12 in base-10. In computer science, '12' is represented as '1100' in binary notation. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 12 mod 11 = 1, so the digit is 1 and the carry is 1. We have 8 + 2 + 1 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 101. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. Answer:\box{101}
Question: In base-11, what is 46+72? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 6 + 2 = 8 in base-10. In computer science, a byte is typically made up of 8 bits. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. We have 4 + 7 + 0 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 108. Eight is the atomic number of oxygen in chemistry, an element essential for human life. Answer:\box{108}
Question: In base-11, what is 26+3A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 6 + A = 16 in base-10. In human biology, 16 is the number of chromosomes in the parasite that causes malaria (Plasmodium falciparum). Since we're in base-11, that exceeds the maximum value of A for a single digit. 16 mod 11 = 5, so the digit is 5 and the carry is 1. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. We have 2 + 3 + 1 = 6 in base 10. In astronomy, Saturn is the sixth planet from the Sun in our solar system. 6 mod 11 = 6, so the digit is 6 and the carry is 0. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 65. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. Answer:\box{65}
Question: In base-11, what is 35+98? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 5 + 8 = 13 in base-10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. Since we're in base-11, that exceeds the maximum value of A for a single digit. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Two is the base of the binary code, used extensively in computer science. We have 3 + 9 + 1 = 13 in base 10. In many Western cultures, the number 13 is considered unlucky and is sometimes omitted from floor numbering in buildings. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. A leading digit is 1. So the answer is 122. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. Answer:\box{122}
Question: In base-11, what is 18+63? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 8 + 3 = 11 in base-10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 11 mod 11 = 0, so the digit is 0 and the carry is 1. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. We have 1 + 6 + 1 = 8 in base 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is a Fibonacci number and a cube number. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 80. Answer:\box{80}
Question: In base-11, what is 43+62? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 2 = 5 in base-10. In mathematics, five is the third prime number, after two and three. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 5 mod 11 = 5, so the digit is 5 and the carry is 0. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. We have 4 + 6 + 0 = 10 in base 10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is A5. Humans have five basic senses: sight, hearing, smell, taste, and touch. Answer:\box{A5} | 14 | 6 | fixed |
In base-11, what is 93+62? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 145 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 59+A2? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 9 + 2 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. We have 5 + A + 1 = 16 in base 10. In mathematics, sixteen is a square number (4^2), meaning it can be arranged in a square with four items on a side. 16 mod 11 = 5, so the digit is 5 and the carry is 1. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. A leading digit is 1. So the answer is 150. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. Answer:\box{150}
Question: In base-11, what is 72+98? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 2 + 8 = 10 in base-10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. We have 7 + 9 + 0 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 15A. Answer:\box{15A}
Question: In base-11, what is 99+70? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 9 + 0 = 9 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. We have 9 + 7 + 0 = 16 in base 10. In physics, 16O (Oxygen-16) is the most abundant isotope of oxygen and accounts for about 99% of natural oxygen. 16 mod 11 = 5, so the digit is 5 and the carry is 1. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 159. Answer:\box{159}
Question: In base-11, what is 23+7A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 3 + A = 13 in base-10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. We have 2 + 7 + 1 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is A2. In human anatomy, the body is largely symmetrical with two halves. Answer:\box{A2}
Question: In base-11, what is 22+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + A = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. We have 2 + A + 1 = 13 in base 10. In mathematics, thirteen is a prime number, the 6th prime number in the series, following 2, 3, 5, 7, and 11. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 121. In physics, the number one is the charge of a single unit of positive or negative electricity. Answer:\box{121}
Question: In base-11, what is 71+83? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 1 + 3 = 4 in base-10. In geometry, a square has four equal sides and four right angles. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 4 mod 11 = 4, so the digit is 4 and the carry is 0. We have 7 + 8 + 0 = 15 in base 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 144. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. Answer:\box{144}
Question: In base-11, what is A2+36? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + 6 = 8 in base-10. In computer science, a byte is typically made up of 8 bits. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. We have A + 3 + 0 = 13 in base 10. In mathematics, thirteen is a prime number, the 6th prime number in the series, following 2, 3, 5, 7, and 11. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 128. In physics, eight is the number of vertices of a cube. Answer:\box{128}
Question: In base-11, what is A6+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 6 + 7 = 13 in base-10. In mathematics, thirteen is a prime number, the 6th prime number in the series, following 2, 3, 5, 7, and 11. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Two is the base of the binary code, used extensively in computer science. We have A + 6 + 1 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. A leading digit is 1. So the answer is 162. In mathematics, an area is a two-dimensional size of a defined part of a surface. Answer:\box{162}
Question: In base-11, what is 49+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 9 + 7 = 16 in base-10. Sixteen is the atomic number of sulfur in chemistry, an essential element for life found in two amino acids and two vitamins. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Humans have five basic senses: sight, hearing, smell, taste, and touch. We have 4 + 8 + 1 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Humans have two sets of each of their chromosomes, making us diploid organisms. A leading digit is 1. So the answer is 125. In mathematics, five is the third prime number, after two and three. Answer:\box{125}
Question: In base-11, what is A3+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 3 + A = 13 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. We have A + A + 1 = 21 in base 10. In blackjack, the goal is to have cards adding up to 21, without exceeding this number, thus making it a critical number in one of the most popular casino games. 21 mod 11 = A, so the digit is A and the carry is 1. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 1A2. Two is the base of the binary code, used extensively in computer science. Answer:\box{1A2} | 14 | 6 | fixed |
In base-11, what is 98+A9? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 196 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 18+23? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 8 + 3 = 11 in base-10. In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 1 + 2 + 1 = 4 in base 10. 4 mod 11 = 4, so the digit is 4 and the carry is 0. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 40. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. Answer:\box{40}
Question: In base-11, what is 78+2A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 8 + A = 18 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. We have 7 + 2 + 1 = 10 in base 10. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. A leading digit is 0. So the answer is A7. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. Answer:\box{A7}
Question: In base-11, what is A4+3A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 4 + A = 14 in base-10. In many cultures, 14 is a symbol of good luck and is often associated with romantic love, especially because of Valentine's Day occurring on February 14. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 14 mod 11 = 3, so the digit is 3 and the carry is 1. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). We have A + 3 + 1 = 14 in base 10. Humans have 14 phalangeal bones in each hand and foot, which make up the fingers and toes. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. So the answer is 133. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. Answer:\box{133}
Question: In base-11, what is 65+16? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 5 + 6 = 11 in base-10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. We have 6 + 1 + 1 = 8 in base 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. Spiders, part of the arachnid family in biology, typically have eight legs. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is 80. In chemistry, pH 0 on the pH scale represents extreme acidity. Answer:\box{80}
Question: In base-11, what is 54+72? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 4 + 2 = 6 in base-10. Six is the first perfect number in mathematics, where a perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 6 mod 11 = 6, so the digit is 6 and the carry is 0. We have 5 + 7 + 0 = 12 in base 10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 116. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. Answer:\box{116}
Question: In base-11, what is 3A+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have A + 7 = 17 in base-10. Seventeen is a Fermat prime, as it is in the form of 2^(2^n) + 1, with n = 2. Since we're in base-11, that exceeds the maximum value of A for a single digit. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In astronomy, Saturn is the sixth planet from the Sun in our solar system. We have 3 + 6 + 1 = 10 in base 10. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. A leading digit is 0. So the answer is A6. The standard guitar has six strings. Answer:\box{A6}
Question: In base-11, what is 6A+25? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have A + 5 = 15 in base-10. There are 15 facial bones in the human skull (not including the mandible, or lower jaw bone). Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. We have 6 + 2 + 1 = 9 in base 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 94. Answer:\box{94}
Question: In base-11, what is 40+A0? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 0 + 0 = 0 in base-10. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 0 mod 11 = 0, so the digit is 0 and the carry is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. We have 4 + A + 0 = 14 in base 10. In mathematics, fourteen is the number of days in a fortnight. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 130. Answer:\box{130}
Question: In base-11, what is 59+95? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 9 + 5 = 14 in base-10. In mathematics, fourteen is the number of days in a fortnight. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 14 mod 11 = 3, so the digit is 3 and the carry is 1. We have 5 + 9 + 1 = 15 in base 10. In mathematics, fifteen is a triangular number, meaning it can be arranged in a triangle with five items on a side. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 143. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. Answer:\box{143}
Question: In base-11, what is 43+85? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 3 + 5 = 8 in base-10. In computer science, a byte is typically made up of 8 bits. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is a Fibonacci number and a cube number. We have 4 + 8 + 0 = 12 in base 10. Humans typically have 12 pairs of ribs in their skeletal structure. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. So the answer is 118. Eight is the atomic number of oxygen in chemistry, an element essential for human life. Answer:\box{118} | 14 | 6 | fixed |
In base-11, what is 72+A7? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 169 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 73+37? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 7 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. We have 7 + 3 + 0 = 10 in base 10. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is AA. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Answer:\box{AA}
Question: In base-11, what is 6A+26? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have A + 6 = 16 in base-10. In computer science, hexadecimal is a base-16 number system, and it is widely used in programming. Since we're in base-11, that exceeds the maximum value of A for a single digit. 16 mod 11 = 5, so the digit is 5 and the carry is 1. We have 6 + 2 + 1 = 9 in base 10. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. 9 mod 11 = 9, so the digit is 9 and the carry is 0. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 95. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. Answer:\box{95}
Question: In base-11, what is 8A+10? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 0 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. We have 8 + 1 + 0 = 9 in base 10. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 9A. The number 10 is symbolic in many cultures, often representing perfection or completeness. Answer:\box{9A}
Question: In base-11, what is A3+33? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 3 = 6 in base-10. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 6 mod 11 = 6, so the digit is 6 and the carry is 0. The standard guitar has six strings. We have A + 3 + 0 = 13 in base 10. In many Western cultures, the number 13 is considered unlucky and is sometimes omitted from floor numbering in buildings. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 126. In astronomy, Saturn is the sixth planet from the Sun in our solar system. Answer:\box{126}
Question: In base-11, what is 69+41? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 9 + 1 = 10 in base-10. The number 10 is symbolic in many cultures, often representing perfection or completeness. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. The decimal system, which is the most commonly used number system in the world, has a base of 10. We have 6 + 4 + 0 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is AA. Answer:\box{AA}
Question: In base-11, what is 54+A9? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 4 + 9 = 13 in base-10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. We have 5 + A + 1 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 152. In astronomy, Mars, the second planet after Earth, has 2 moons. Answer:\box{152}
Question: In base-11, what is 53+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 3 + 7 = 10 in base-10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. We have 5 + 8 + 0 = 13 in base 10. A baker's dozen traditionally consists of 13 items, one more than the standard dozen. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. So the answer is 12A. The number 10 is symbolic in many cultures, often representing perfection or completeness. Answer:\box{12A}
Question: In base-11, what is 92+86? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + 6 = 8 in base-10. In music, an octave consists of eight notes in the Western musical scale. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. We have 9 + 8 + 0 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In astronomy, Saturn is the sixth planet from the Sun in our solar system. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 168. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. Answer:\box{168}
Question: In base-11, what is 27+17? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 7 + 7 = 14 in base-10. In mathematics, fourteen is the number of days in a fortnight. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. We have 2 + 1 + 1 = 4 in base 10. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. 4 mod 11 = 4, so the digit is 4 and the carry is 0. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. A leading digit is 0. So the answer is 43. Answer:\box{43}
Question: In base-11, what is 29+A9? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 9 + 9 = 18 in base-10. In golf, a standard round consists of 18 holes. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. We have 2 + A + 1 = 13 in base 10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, an area is a two-dimensional size of a defined part of a surface. A leading digit is 1. So the answer is 127. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. Answer:\box{127} | 14 | 6 | fixed |
In base-11, what is A3+A7? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 19A | Math-11 | Irrelevant | Hard | Question: In base-11, what is 73+45? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 3 + 5 = 8 in base-10. Spiders, part of the arachnid family in biology, typically have eight legs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is a Fibonacci number and a cube number. We have 7 + 4 + 0 = 11 in base 10. In computer science, '11' is the binary representation of the decimal number 3. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 108. Answer:\box{108}
Question: In base-11, what is 15+25? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 5 + 5 = 10 in base-10. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. We have 1 + 2 + 0 = 3 in base 10. 3 mod 11 = 3, so the digit is 3 and the carry is 0. In astronomy, Earth is the third planet from the Sun in our Solar System. A leading digit is 0. So the answer is 3A. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Answer:\box{3A}
Question: In base-11, what is 26+14? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 6 + 4 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. We have 2 + 1 + 0 = 3 in base 10. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. 3 mod 11 = 3, so the digit is 3 and the carry is 0. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. A leading digit is 0. So the answer is 3A. The decimal system, which is the most commonly used number system in the world, has a base of 10. Answer:\box{3A}
Question: In base-11, what is 59+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 9 + 7 = 16 in base-10. There are 16 ounces in a pound in the avoirdupois system of measurement. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In mathematics, five is the third prime number, after two and three. We have 5 + 8 + 1 = 14 in base 10. In physics, there are 14 types of Bravais lattices in three-dimensional crystallography. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. So the answer is 135. In geometry, a pentagon is a five-sided polygon. Answer:\box{135}
Question: In base-11, what is 86+75? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 6 + 5 = 11 in base-10. In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. We have 8 + 7 + 1 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. A leading digit is 1. So the answer is 150. In chemistry, pH 0 on the pH scale represents extreme acidity. Answer:\box{150}
Question: In base-11, what is 85+24? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 5 + 4 = 9 in base-10. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 9 mod 11 = 9, so the digit is 9 and the carry is 0. We have 8 + 2 + 0 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is A9. In mythology and religion, there are nine realms in Norse Cosmology. Answer:\box{A9}
Question: In base-11, what is 89+32? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 9 + 2 = 11 in base-10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. Since we're in base-11, that exceeds the maximum value of A for a single digit. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. We have 8 + 3 + 1 = 12 in base 10. Twelve is the atomic number of magnesium in chemistry, a crucial element for life known to be a cofactor in over 300 enzymatic reactions. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 110. Answer:\box{110}
Question: In base-11, what is 63+84? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 4 = 7 in base-10. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 7 mod 11 = 7, so the digit is 7 and the carry is 0. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. We have 6 + 8 + 0 = 14 in base 10. In classical music, Ludwig van Beethoven's 'Moonlight Sonata' is Piano Sonata No 14 and is one of his most famous compositions. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 137. Answer:\box{137}
Question: In base-11, what is 13+91? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 3 + 1 = 4 in base-10. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 4 mod 11 = 4, so the digit is 4 and the carry is 0. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. We have 1 + 9 + 0 = 10 in base 10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is A4. Answer:\box{A4}
Question: In base-11, what is 25+88? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 5 + 8 = 13 in base-10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. Since we're in base-11, that exceeds the maximum value of A for a single digit. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 2 + 8 + 1 = 11 in base 10. In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). 11 mod 11 = 0, so the digit is 0 and the carry is 1. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 102. Humans have two sets of each of their chromosomes, making us diploid organisms. Answer:\box{102} | 14 | 6 | fixed |
In base-11, what is 13+89? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | A1 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 17+17? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 7 + 7 = 14 in base-10. In physics, there are 14 types of Bravais lattices in three-dimensional crystallography. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Physics recognises three laws of motion, first compiled by Isaac Newton. We have 1 + 1 + 1 = 3 in base 10. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). 3 mod 11 = 3, so the digit is 3 and the carry is 0. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is 33. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. Answer:\box{33}
Question: In base-11, what is 44+A3? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 4 + 3 = 7 in base-10. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 7 mod 11 = 7, so the digit is 7 and the carry is 0. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. We have 4 + A + 0 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 137. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. Answer:\box{137}
Question: In base-11, what is 98+96? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 8 + 6 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Physics recognises three laws of motion, first compiled by Isaac Newton. We have 9 + 9 + 1 = 19 in base 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In computer science, a byte is typically made up of 8 bits. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 183. In astronomy, Earth is the third planet from the Sun in our Solar System. Answer:\box{183}
Question: In base-11, what is 58+76? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 8 + 6 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. We have 5 + 7 + 1 = 13 in base 10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. A leading digit is 1. So the answer is 123. In astronomy, Earth is the third planet from the Sun in our Solar System. Answer:\box{123}
Question: In base-11, what is 55+26? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 5 + 6 = 11 in base-10. In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. We have 5 + 2 + 1 = 8 in base 10. In physics, eight is the number of vertices of a cube. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. A leading digit is 0. So the answer is 80. Answer:\box{80}
Question: In base-11, what is A3+76? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 6 = 9 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. We have A + 7 + 0 = 17 in base 10. Seventeen is the atomic number of chlorine in chemistry, a halogen that's widely used in disinfectants. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 169. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. Answer:\box{169}
Question: In base-11, what is 68+80? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 8 + 0 = 8 in base-10. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, eight is the number of vertices of a cube. We have 6 + 8 + 0 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Physics recognises three laws of motion, first compiled by Isaac Newton. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 138. In mathematics, eight is a Fibonacci number and a cube number. Answer:\box{138}
Question: In base-11, what is A0+29? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 0 + 9 = 9 in base-10. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. We have A + 2 + 0 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. A leading digit is 1. So the answer is 119. The gestation period of a human pregnancy is typically nine months. Answer:\box{119}
Question: In base-11, what is 34+70? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 4 + 0 = 4 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 4 mod 11 = 4, so the digit is 4 and the carry is 0. We have 3 + 7 + 0 = 10 in base 10. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is A4. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. Answer:\box{A4}
Question: In base-11, what is 13+69? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 9 = 12 in base-10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. We have 1 + 6 + 1 = 8 in base 10. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. 8 mod 11 = 8, so the digit is 8 and the carry is 0. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 81. In biology, humans have one heart, which pumps blood throughout the body. Answer:\box{81} | 14 | 6 | fixed |
In base-11, what is 68+40? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | A8 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 71+3A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 1 + A = 11 in base-10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. Since we're in base-11, that exceeds the maximum value of A for a single digit. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 7 + 3 + 1 = 11 in base 10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 100. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. Answer:\box{100}
Question: In base-11, what is 12+79? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 2 + 9 = 11 in base-10. In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 1 + 7 + 1 = 9 in base 10. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. 9 mod 11 = 9, so the digit is 9 and the carry is 0. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 90. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. Answer:\box{90}
Question: In base-11, what is A5+50? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 5 + 0 = 5 in base-10. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 5 mod 11 = 5, so the digit is 5 and the carry is 0. In mathematics, five is the third prime number, after two and three. We have A + 5 + 0 = 15 in base 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 145. In geometry, a pentagon is a five-sided polygon. Answer:\box{145}
Question: In base-11, what is 89+86? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 6 = 15 in base-10. There are 15 facial bones in the human skull (not including the mandible, or lower jaw bone). Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. We have 8 + 8 + 1 = 17 in base 10. Seventeen is the atomic number of chlorine in chemistry, a halogen that's widely used in disinfectants. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In astronomy, Saturn is the sixth planet from the Sun in our solar system. A leading digit is 1. So the answer is 164. In geometry, a square has four equal sides and four right angles. Answer:\box{164}
Question: In base-11, what is 86+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 6 + 7 = 13 in base-10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Humans have two sets of each of their chromosomes, making us diploid organisms. We have 8 + 6 + 1 = 15 in base 10. In binary, the decimal number 15 is represented as '1111', which is the maximum four-digit binary number. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. So the answer is 142. In mathematics, an area is a two-dimensional size of a defined part of a surface. Answer:\box{142}
Question: In base-11, what is A5+69? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 5 + 9 = 14 in base-10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. We have A + 6 + 1 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 163. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. Answer:\box{163}
Question: In base-11, what is 86+61? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 1 = 7 in base-10. In biology, a rainbow is seen in seven colors due to the refraction of light. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. We have 8 + 6 + 0 = 14 in base 10. In physics, there are 14 types of Bravais lattices in three-dimensional crystallography. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In colors, there are three primary colors: red, yellow, and blue. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 137. Answer:\box{137}
Question: In base-11, what is 83+A4? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 4 = 7 in base-10. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 7 mod 11 = 7, so the digit is 7 and the carry is 0. We have 8 + A + 0 = 18 in base 10. Eighteen is the atomic number of argon in chemistry, a noble gas that is colorless, odorless, and used in lighting and lasers. 18 mod 11 = 7, so the digit is 7 and the carry is 1. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 177. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. Answer:\box{177}
Question: In base-11, what is 45+A5? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 5 + 5 = 10 in base-10. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. We have 4 + A + 0 = 14 in base 10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. 14 mod 11 = 3, so the digit is 3 and the carry is 1. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 13A. The number 10 is symbolic in many cultures, often representing perfection or completeness. Answer:\box{13A}
Question: In base-11, what is 40+A6? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 0 + 6 = 6 in base-10. The standard guitar has six strings. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 6 mod 11 = 6, so the digit is 6 and the carry is 0. In geometry, a hexagon is a six-sided polygon. We have 4 + A + 0 = 14 in base 10. In classical music, Ludwig van Beethoven's 'Moonlight Sonata' is Piano Sonata No 14 and is one of his most famous compositions. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 136. Answer:\box{136} | 14 | 6 | fixed |
In base-11, what is 8A+A3? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 182 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 30+98? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 0 + 8 = 8 in base-10. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In computer science, a byte is typically made up of 8 bits. We have 3 + 9 + 0 = 12 in base 10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 118. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. Answer:\box{118}
Question: In base-11, what is 78+47? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 8 + 7 = 15 in base-10. There are 15 facial bones in the human skull (not including the mandible, or lower jaw bone). Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. We have 7 + 4 + 1 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 114. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. Answer:\box{114}
Question: In base-11, what is 36+37? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 6 + 7 = 13 in base-10. In many Western cultures, the number 13 is considered unlucky and is sometimes omitted from floor numbering in buildings. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 3 + 3 + 1 = 7 in base 10. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. 7 mod 11 = 7, so the digit is 7 and the carry is 0. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 72. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. Answer:\box{72}
Question: In base-11, what is 69+86? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 9 + 6 = 15 in base-10. In computer science, a 15-puzzle is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. We have 6 + 8 + 1 = 15 in base 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. A leading digit is 1. So the answer is 144. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. Answer:\box{144}
Question: In base-11, what is 70+37? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 0 + 7 = 7 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 7 mod 11 = 7, so the digit is 7 and the carry is 0. We have 7 + 3 + 0 = 10 in base 10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is A7. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. Answer:\box{A7}
Question: In base-11, what is 59+53? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 9 + 3 = 12 in base-10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. We have 5 + 5 + 1 = 11 in base 10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 101. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. Answer:\box{101}
Question: In base-11, what is 25+68? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 5 + 8 = 13 in base-10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. Since we're in base-11, that exceeds the maximum value of A for a single digit. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, an area is a two-dimensional size of a defined part of a surface. We have 2 + 6 + 1 = 9 in base 10. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. 9 mod 11 = 9, so the digit is 9 and the carry is 0. The gestation period of a human pregnancy is typically nine months. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is 92. Humans have two sets of each of their chromosomes, making us diploid organisms. Answer:\box{92}
Question: In base-11, what is 16+59? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 6 + 9 = 15 in base-10. Fifteen is the atomic number of phosphorus in chemistry, an essential element for life as part of DNA and RNA. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 15 mod 11 = 4, so the digit is 4 and the carry is 1. We have 1 + 5 + 1 = 7 in base 10. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. 7 mod 11 = 7, so the digit is 7 and the carry is 0. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is 74. Answer:\box{74}
Question: In base-11, what is 68+44? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 8 + 4 = 12 in base-10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. One often represents the 'on' state in binary code, which underlies digital computing. We have 6 + 4 + 1 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. A leading digit is 1. So the answer is 101. In mathematics, one is the first counting number and the starting point of the natural numbers. Answer:\box{101}
Question: In base-11, what is 82+1A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 2 + A = 12 in base-10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. One often represents the 'on' state in binary code, which underlies digital computing. We have 8 + 1 + 1 = 10 in base 10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is A1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. Answer:\box{A1} | 14 | 6 | fixed |
In base-11, what is 28+7A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | A7 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 51+74? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 1 + 4 = 5 in base-10. In mathematics, five is the third prime number, after two and three. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 5 mod 11 = 5, so the digit is 5 and the carry is 0. We have 5 + 7 + 0 = 12 in base 10. Humans typically have 12 pairs of ribs in their skeletal structure. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 115. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. Answer:\box{115}
Question: In base-11, what is 79+9A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 9 + A = 19 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. We have 7 + 9 + 1 = 17 in base 10. The 'Rule of Seventeen' in bridge is a guideline for estimating the strength of one's hand. 17 mod 11 = 6, so the digit is 6 and the carry is 1. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 168. In physics, eight is the number of vertices of a cube. Answer:\box{168}
Question: In base-11, what is 79+61? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 9 + 1 = 10 in base-10. The decimal system, which is the most commonly used number system in the world, has a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. We have 7 + 6 + 0 = 13 in base 10. A baker's dozen traditionally consists of 13 items, one more than the standard dozen. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In human anatomy, the body is largely symmetrical with two halves. A leading digit is 1. So the answer is 12A. Answer:\box{12A}
Question: In base-11, what is A3+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 3 + A = 13 in base-10. In mathematics, thirteen is a prime number, the 6th prime number in the series, following 2, 3, 5, 7, and 11. Since we're in base-11, that exceeds the maximum value of A for a single digit. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. We have A + A + 1 = 21 in base 10. Many cultures celebrate the 21st birthday as a significant milestone, marking the transition into full adulthood. 21 mod 11 = A, so the digit is A and the carry is 1. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 1A2. Answer:\box{1A2}
Question: In base-11, what is 8A+A8? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 8 = 18 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In biology, a rainbow is seen in seven colors due to the refraction of light. We have 8 + A + 1 = 19 in base 10. Nineteen is the atomic number of potassium in chemistry, an essential mineral for the function of all living cells. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 187. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. Answer:\box{187}
Question: In base-11, what is 98+34? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 8 + 4 = 12 in base-10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 12 mod 11 = 1, so the digit is 1 and the carry is 1. One often represents the 'on' state in binary code, which underlies digital computing. We have 9 + 3 + 1 = 13 in base 10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, an area is a two-dimensional size of a defined part of a surface. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 121. Answer:\box{121}
Question: In base-11, what is 55+82? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 5 + 2 = 7 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. We have 5 + 8 + 0 = 13 in base 10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 127. In biology, a rainbow is seen in seven colors due to the refraction of light. Answer:\box{127}
Question: In base-11, what is 5A+62? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 2 = 12 in base-10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. We have 5 + 6 + 1 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 111. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. Answer:\box{111}
Question: In base-11, what is 39+34? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 4 = 13 in base-10. In mathematics, thirteen is a prime number, the 6th prime number in the series, following 2, 3, 5, 7, and 11. Since we're in base-11, that exceeds the maximum value of A for a single digit. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. We have 3 + 3 + 1 = 7 in base 10. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 72. In human anatomy, the body is largely symmetrical with two halves. Answer:\box{72}
Question: In base-11, what is 73+93? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 3 + 3 = 6 in base-10. According to the Standard Model of physics, there are six types of quarks, the fundamental constituents of matter. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. Six is the first perfect number in mathematics, where a perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself. We have 7 + 9 + 0 = 16 in base 10. In mathematics, sixteen is a square number (4^2), and it is the fourth power of two (2^4). 16 mod 11 = 5, so the digit is 5 and the carry is 1. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. A leading digit is 1. So the answer is 156. Answer:\box{156} | 14 | 6 | fixed |
In base-11, what is 5A+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 116 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 23+83? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 3 + 3 = 6 in base-10. According to the Standard Model of physics, there are six types of quarks, the fundamental constituents of matter. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 6 mod 11 = 6, so the digit is 6 and the carry is 0. Six is the atomic number of carbon in chemistry, a key element for life as we know it. We have 2 + 8 + 0 = 10 in base 10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is A6. Answer:\box{A6}
Question: In base-11, what is 23+98? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 8 = 11 in base-10. In sports, cricket teams traditionally consist of 11 players on each side. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. We have 2 + 9 + 1 = 12 in base 10. Humans typically have 12 pairs of ribs in their skeletal structure. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 110. Answer:\box{110}
Question: In base-11, what is 91+23? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + 3 = 4 in base-10. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 4 mod 11 = 4, so the digit is 4 and the carry is 0. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. We have 9 + 2 + 0 = 11 in base 10. In computer science, '11' is the binary representation of the decimal number 3. 11 mod 11 = 0, so the digit is 0 and the carry is 1. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 104. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. Answer:\box{104}
Question: In base-11, what is 63+64? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 3 + 4 = 7 in base-10. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. We have 6 + 6 + 0 = 12 in base 10. In Greek mythology, the 12 labors of Hercules are a series of episodes concerning a penance carried out by Hercules. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. A leading digit is 1. So the answer is 117. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. Answer:\box{117}
Question: In base-11, what is 28+89? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 8 + 9 = 17 in base-10. In computer science, the '17 undecidable problems' is a list of computational problems proven to be unsolvable. Since we're in base-11, that exceeds the maximum value of A for a single digit. 17 mod 11 = 6, so the digit is 6 and the carry is 1. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. We have 2 + 8 + 1 = 11 in base 10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 106. In geometry, a hexagon is a six-sided polygon. Answer:\box{106}
Question: In base-11, what is 45+A5? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 5 + 5 = 10 in base-10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. We have 4 + A + 0 = 14 in base 10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In colors, there are three primary colors: red, yellow, and blue. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 13A. Answer:\box{13A}
Question: In base-11, what is 91+65? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 1 + 5 = 6 in base-10. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. In geometry, a hexagon is a six-sided polygon. We have 9 + 6 + 0 = 15 in base 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 146. Answer:\box{146}
Question: In base-11, what is 64+29? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 4 + 9 = 13 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, an area is a two-dimensional size of a defined part of a surface. We have 6 + 2 + 1 = 9 in base 10. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. A leading digit is 0. So the answer is 92. Humans have two sets of each of their chromosomes, making us diploid organisms. Answer:\box{92}
Question: In base-11, what is 66+80? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 0 = 6 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 6 mod 11 = 6, so the digit is 6 and the carry is 0. In geometry, a hexagon is a six-sided polygon. We have 6 + 8 + 0 = 14 in base 10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. 14 mod 11 = 3, so the digit is 3 and the carry is 1. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 136. In astronomy, Saturn is the sixth planet from the Sun in our solar system. Answer:\box{136}
Question: In base-11, what is 1A+60? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 0 = 10 in base-10. The number 10 is symbolic in many cultures, often representing perfection or completeness. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. We have 1 + 6 + 0 = 7 in base 10. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. 7 mod 11 = 7, so the digit is 7 and the carry is 0. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 7A. Answer:\box{7A} | 14 | 6 | fixed |
In base-11, what is 42+68? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | AA | Math-11 | Irrelevant | Hard | Question: In base-11, what is 67+84? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 7 + 4 = 11 in base-10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 6 + 8 + 1 = 15 in base 10. There are 15 facial bones in the human skull (not including the mandible, or lower jaw bone). 15 mod 11 = 4, so the digit is 4 and the carry is 1. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 140. Answer:\box{140}
Question: In base-11, what is 85+3A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 5 + A = 15 in base-10. Fifteen is the atomic number of phosphorus in chemistry, an essential element for life as part of DNA and RNA. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. We have 8 + 3 + 1 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 114. In geometry, a square has four equal sides and four right angles. Answer:\box{114}
Question: In base-11, what is 4A+38? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have A + 8 = 18 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 18 mod 11 = 7, so the digit is 7 and the carry is 1. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. We have 4 + 3 + 1 = 8 in base 10. In mathematics, eight is a Fibonacci number and a cube number. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is 87. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. Answer:\box{87}
Question: In base-11, what is 1A+86? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have A + 6 = 16 in base-10. In human biology, 16 is the number of chromosomes in the parasite that causes malaria (Plasmodium falciparum). Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 16 mod 11 = 5, so the digit is 5 and the carry is 1. We have 1 + 8 + 1 = 10 in base 10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. A leading digit is 0. So the answer is A5. In geometry, a pentagon is a five-sided polygon. Answer:\box{A5}
Question: In base-11, what is A9+39? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 9 = 18 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. We have A + 3 + 1 = 14 in base 10. Humans have 14 phalangeal bones in each hand and foot, which make up the fingers and toes. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 137. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. Answer:\box{137}
Question: In base-11, what is 92+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 2 + A = 12 in base-10. In Greek mythology, the 12 labors of Hercules are a series of episodes concerning a penance carried out by Hercules. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. We have 9 + A + 1 = 20 in base 10. 20 mod 11 = 9, so the digit is 9 and the carry is 1. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 191. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. Answer:\box{191}
Question: In base-11, what is 27+A2? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 7 + 2 = 9 in base-10. In mythology and religion, there are nine realms in Norse Cosmology. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. We have 2 + A + 0 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 119. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. Answer:\box{119}
Question: In base-11, what is 47+82? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 7 + 2 = 9 in base-10. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In mythology and religion, there are nine realms in Norse Cosmology. We have 4 + 8 + 0 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. One often represents the 'on' state in binary code, which underlies digital computing. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 119. Answer:\box{119}
Question: In base-11, what is 63+47? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 3 + 7 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 10 mod 11 = A, so the digit is A and the carry is 0. The decimal system, which is the most commonly used number system in the world, has a base of 10. We have 6 + 4 + 0 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is AA. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Answer:\box{AA}
Question: In base-11, what is 27+A4? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 4 = 11 in base-10. In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). We have 2 + A + 1 = 13 in base 10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 120. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. Answer:\box{120} | 14 | 6 | fixed |
In base-11, what is 67+77? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 133 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 2A+73? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have A + 3 = 13 in base-10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, an area is a two-dimensional size of a defined part of a surface. We have 2 + 7 + 1 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. A leading digit is 0. So the answer is A2. Humans have two sets of each of their chromosomes, making us diploid organisms. Answer:\box{A2}
Question: In base-11, what is 77+1A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 7 + A = 17 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Six is the first perfect number in mathematics, where a perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself. We have 7 + 1 + 1 = 9 in base 10. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. 9 mod 11 = 9, so the digit is 9 and the carry is 0. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 96. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. Answer:\box{96}
Question: In base-11, what is 93+A5? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 3 + 5 = 8 in base-10. In mathematics, eight is a Fibonacci number and a cube number. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In music, an octave consists of eight notes in the Western musical scale. We have 9 + A + 0 = 19 in base 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 188. In computer science, a byte is typically made up of 8 bits. Answer:\box{188}
Question: In base-11, what is 40+65? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 0 + 5 = 5 in base-10. Humans have five basic senses: sight, hearing, smell, taste, and touch. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 5 mod 11 = 5, so the digit is 5 and the carry is 0. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. We have 4 + 6 + 0 = 10 in base 10. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is A5. Answer:\box{A5}
Question: In base-11, what is 10+8A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 0 + A = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. We have 1 + 8 + 0 = 9 in base 10. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. 9 mod 11 = 9, so the digit is 9 and the carry is 0. The gestation period of a human pregnancy is typically nine months. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is 9A. Answer:\box{9A}
Question: In base-11, what is 39+70? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 0 = 9 in base-10. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. We have 3 + 7 + 0 = 10 in base 10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is A9. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. Answer:\box{A9}
Question: In base-11, what is 65+88? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 5 + 8 = 13 in base-10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. We have 6 + 8 + 1 = 15 in base 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 142. In mathematics, an area is a two-dimensional size of a defined part of a surface. Answer:\box{142}
Question: In base-11, what is 9A+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have A + 7 = 17 in base-10. In computer science, the '17 undecidable problems' is a list of computational problems proven to be unsolvable. Since we're in base-11, that exceeds the maximum value of A for a single digit. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. We have 9 + 6 + 1 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In geometry, a pentagon is a five-sided polygon. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 156. In astronomy, Saturn is the sixth planet from the Sun in our solar system. Answer:\box{156}
Question: In base-11, what is 65+A9? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 5 + 9 = 14 in base-10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 14 mod 11 = 3, so the digit is 3 and the carry is 1. We have 6 + A + 1 = 17 in base 10. In mathematics, seventeen is a prime number, which can only be divided by 1 and itself. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Six is the atomic number of carbon in chemistry, a key element for life as we know it. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 163. Answer:\box{163}
Question: In base-11, what is 68+46? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 8 + 6 = 14 in base-10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. We have 6 + 4 + 1 = 11 in base 10. In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). 11 mod 11 = 0, so the digit is 0 and the carry is 1. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. A leading digit is 1. So the answer is 103. Answer:\box{103} | 14 | 6 | fixed |
In base-11, what is 88+45? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 122 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 24+47? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 4 + 7 = 11 in base-10. In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. We have 2 + 4 + 1 = 7 in base 10. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 70. Answer:\box{70}
Question: In base-11, what is 97+14? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 4 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In chemistry, pH 0 on the pH scale represents extreme acidity. We have 9 + 1 + 1 = 11 in base 10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. 11 mod 11 = 0, so the digit is 0 and the carry is 1. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 100. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. Answer:\box{100}
Question: In base-11, what is 79+85? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 9 + 5 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. We have 7 + 8 + 1 = 16 in base 10. In human biology, 16 is the number of chromosomes in the parasite that causes malaria (Plasmodium falciparum). 16 mod 11 = 5, so the digit is 5 and the carry is 1. In mathematics, five is the third prime number, after two and three. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 153. Answer:\box{153}
Question: In base-11, what is 23+79? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 3 + 9 = 12 in base-10. Humans typically have 12 pairs of ribs in their skeletal structure. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. We have 2 + 7 + 1 = 10 in base 10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is A1. Answer:\box{A1}
Question: In base-11, what is 50+74? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 0 + 4 = 4 in base-10. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 4 mod 11 = 4, so the digit is 4 and the carry is 0. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. We have 5 + 7 + 0 = 12 in base 10. In Greek mythology, the 12 labors of Hercules are a series of episodes concerning a penance carried out by Hercules. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. A leading digit is 1. So the answer is 114. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. Answer:\box{114}
Question: In base-11, what is 83+80? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 3 + 0 = 3 in base-10. In astronomy, Earth is the third planet from the Sun in our Solar System. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 3 mod 11 = 3, so the digit is 3 and the carry is 0. We have 8 + 8 + 0 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 153. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. Answer:\box{153}
Question: In base-11, what is 22+82? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 2 + 2 = 4 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 4 mod 11 = 4, so the digit is 4 and the carry is 0. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. We have 2 + 8 + 0 = 10 in base 10. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. The decimal system, which is the most commonly used number system in the world, has a base of 10. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is A4. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. Answer:\box{A4}
Question: In base-11, what is 79+14? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 9 + 4 = 13 in base-10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In human anatomy, the body is largely symmetrical with two halves. We have 7 + 1 + 1 = 9 in base 10. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. 9 mod 11 = 9, so the digit is 9 and the carry is 0. A leading digit is 0. So the answer is 92. Humans have two sets of each of their chromosomes, making us diploid organisms. Answer:\box{92}
Question: In base-11, what is 6A+31? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have A + 1 = 11 in base-10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 6 + 3 + 1 = 10 in base 10. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. A leading digit is 0. So the answer is A0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. Answer:\box{A0}
Question: In base-11, what is AA+36? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 6 = 16 in base-10. In human biology, 16 is the number of chromosomes in the parasite that causes malaria (Plasmodium falciparum). Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 16 mod 11 = 5, so the digit is 5 and the carry is 1. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. We have A + 3 + 1 = 14 in base 10. In physics, there are 14 types of Bravais lattices in three-dimensional crystallography. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 135. Answer:\box{135} | 14 | 6 | fixed |
In base-11, what is 26+A9? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 124 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 52+53? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 2 + 3 = 5 in base-10. Humans have five basic senses: sight, hearing, smell, taste, and touch. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 5 mod 11 = 5, so the digit is 5 and the carry is 0. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. We have 5 + 5 + 0 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is A5. In mathematics, five is the third prime number, after two and three. Answer:\box{A5}
Question: In base-11, what is 99+70? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 9 + 0 = 9 in base-10. The gestation period of a human pregnancy is typically nine months. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. We have 9 + 7 + 0 = 16 in base 10. In human biology, 16 is the number of chromosomes in the parasite that causes malaria (Plasmodium falciparum). 16 mod 11 = 5, so the digit is 5 and the carry is 1. In mathematics, five is the third prime number, after two and three. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 159. Answer:\box{159}
Question: In base-11, what is A1+31? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 1 + 1 = 2 in base-10. In human anatomy, the body is largely symmetrical with two halves. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 2 mod 11 = 2, so the digit is 2 and the carry is 0. In astronomy, Mars, the second planet after Earth, has 2 moons. We have A + 3 + 0 = 13 in base 10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Humans have two sets of each of their chromosomes, making us diploid organisms. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 122. Answer:\box{122}
Question: In base-11, what is 78+6A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 8 + A = 18 in base-10. In Tarot, the Moon card is card number 18, representing intuition, dreams, and the unconscious. Since we're in base-11, that exceeds the maximum value of A for a single digit. 18 mod 11 = 7, so the digit is 7 and the carry is 1. We have 7 + 6 + 1 = 14 in base 10. Fourteen is the atomic number of silicon in chemistry, a key element used in semiconductors and various electronics. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 137. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. Answer:\box{137}
Question: In base-11, what is 5A+12? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have A + 2 = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. We have 5 + 1 + 1 = 7 in base 10. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 71. Answer:\box{71}
Question: In base-11, what is AA+41? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have A + 1 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. We have A + 4 + 1 = 15 in base 10. In mathematics, a group of 15 is known as a pentadecagon, which is a polygon with 15 sides and 15 angles. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 140. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. Answer:\box{140}
Question: In base-11, what is 2A+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + A = 20 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 20 mod 11 = 9, so the digit is 9 and the carry is 1. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. We have 2 + A + 1 = 13 in base 10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 129. The gestation period of a human pregnancy is typically nine months. Answer:\box{129}
Question: In base-11, what is 31+93? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + 3 = 4 in base-10. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 4 mod 11 = 4, so the digit is 4 and the carry is 0. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. We have 3 + 9 + 0 = 12 in base 10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 114. Answer:\box{114}
Question: In base-11, what is 86+25? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 6 + 5 = 11 in base-10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. Since we're in base-11, that exceeds the maximum value of A for a single digit. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. We have 8 + 2 + 1 = 11 in base 10. In computer science, '11' is the binary representation of the decimal number 3. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. A leading digit is 1. So the answer is 100. In chemistry, pH 0 on the pH scale represents extreme acidity. Answer:\box{100}
Question: In base-11, what is 80+81? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 0 + 1 = 1 in base-10. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 1 mod 11 = 1, so the digit is 1 and the carry is 0. One often represents the 'on' state in binary code, which underlies digital computing. We have 8 + 8 + 0 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In mathematics, five is the third prime number, after two and three. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 151. In biology, humans have one heart, which pumps blood throughout the body. Answer:\box{151} | 14 | 6 | fixed |
In base-11, what is 78+4A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 117 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 70+82? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 0 + 2 = 2 in base-10. In mathematics, two is the smallest and first prime number. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 2 mod 11 = 2, so the digit is 2 and the carry is 0. We have 7 + 8 + 0 = 15 in base 10. There are 15 facial bones in the human skull (not including the mandible, or lower jaw bone). 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 142. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. Answer:\box{142}
Question: In base-11, what is 73+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 3 + 7 = 10 in base-10. The number 10 is symbolic in many cultures, often representing perfection or completeness. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. We have 7 + 8 + 0 = 15 in base 10. There are 15 facial bones in the human skull (not including the mandible, or lower jaw bone). 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 14A. The decimal system, which is the most commonly used number system in the world, has a base of 10. Answer:\box{14A}
Question: In base-11, what is 71+A9? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 1 + 9 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. We have 7 + A + 0 = 17 in base 10. In human biology, the kidneys filter about 17 liters of blood every hour. 17 mod 11 = 6, so the digit is 6 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 16A. The decimal system, which is the most commonly used number system in the world, has a base of 10. Answer:\box{16A}
Question: In base-11, what is 19+21? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 9 + 1 = 10 in base-10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. We have 1 + 2 + 0 = 3 in base 10. Physics recognises three laws of motion, first compiled by Isaac Newton. 3 mod 11 = 3, so the digit is 3 and the carry is 0. In astronomy, Earth is the third planet from the Sun in our Solar System. A leading digit is 0. So the answer is 3A. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. Answer:\box{3A}
Question: In base-11, what is 89+30? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 9 + 0 = 9 in base-10. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. We have 8 + 3 + 0 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 109. Answer:\box{109}
Question: In base-11, what is A0+40? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 0 + 0 = 0 in base-10. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 0 mod 11 = 0, so the digit is 0 and the carry is 0. We have A + 4 + 0 = 14 in base 10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In colors, there are three primary colors: red, yellow, and blue. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 130. Answer:\box{130}
Question: In base-11, what is A1+A5? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 1 + 5 = 6 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 6 mod 11 = 6, so the digit is 6 and the carry is 0. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. We have A + A + 0 = 20 in base 10. In mathematics, twenty is the basis of vigesimal number systems and is used in scoring many traditional games. 20 mod 11 = 9, so the digit is 9 and the carry is 1. In mythology and religion, there are nine realms in Norse Cosmology. A leading digit is 1. So the answer is 196. Six is the atomic number of carbon in chemistry, a key element for life as we know it. Answer:\box{196}
Question: In base-11, what is 29+76? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 6 = 15 in base-10. Fifteen is the atomic number of phosphorus in chemistry, an essential element in all forms of life. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 15 mod 11 = 4, so the digit is 4 and the carry is 1. We have 2 + 7 + 1 = 10 in base 10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. The decimal system, which is the most commonly used number system in the world, has a base of 10. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is A4. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. Answer:\box{A4}
Question: In base-11, what is 24+39? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 4 + 9 = 13 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, an area is a two-dimensional size of a defined part of a surface. We have 2 + 3 + 1 = 6 in base 10. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. 6 mod 11 = 6, so the digit is 6 and the carry is 0. Six is the atomic number of carbon in chemistry, a key element for life as we know it. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 62. Answer:\box{62}
Question: In base-11, what is 33+7A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 3 + A = 13 in base-10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 3 + 7 + 1 = 11 in base 10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 102. Answer:\box{102} | 14 | 6 | fixed |
In base-11, what is 1A+38? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 57 | Math-11 | Irrelevant | Hard | Question: In base-11, what is A7+91? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 7 + 1 = 8 in base-10. Eight is the atomic number of oxygen in chemistry, an element essential for human life. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. We have A + 9 + 0 = 19 in base 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In physics, eight is the number of vertices of a cube. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 188. Answer:\box{188}
Question: In base-11, what is 27+46? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 7 + 6 = 13 in base-10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. Since we're in base-11, that exceeds the maximum value of A for a single digit. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. We have 2 + 4 + 1 = 7 in base 10. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. A leading digit is 0. So the answer is 72. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. Answer:\box{72}
Question: In base-11, what is 72+59? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 2 + 9 = 11 in base-10. In sports, cricket teams traditionally consist of 11 players on each side. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. We have 7 + 5 + 1 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, an area is a two-dimensional size of a defined part of a surface. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 120. Answer:\box{120}
Question: In base-11, what is 18+77? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 8 + 7 = 15 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In geometry, a square has four equal sides and four right angles. We have 1 + 7 + 1 = 9 in base 10. The gestation period of a human pregnancy is typically nine months. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is 94. Answer:\box{94}
Question: In base-11, what is 46+56? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 6 = 12 in base-10. Humans typically have 12 pairs of ribs in their skeletal structure. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. We have 4 + 5 + 1 = 10 in base 10. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is A1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. Answer:\box{A1}
Question: In base-11, what is A6+80? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 6 + 0 = 6 in base-10. In astronomy, Saturn is the sixth planet from the Sun in our solar system. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 6 mod 11 = 6, so the digit is 6 and the carry is 0. Six is the atomic number of carbon in chemistry, a key element for life as we know it. We have A + 8 + 0 = 18 in base 10. In the Jewish tradition, the number 18 symbolizes 'chai', which means 'life' in Hebrew. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. A leading digit is 1. So the answer is 176. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. Answer:\box{176}
Question: In base-11, what is 17+5A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 7 + A = 17 in base-10. Seventeen is the atomic number of chlorine in chemistry, a halogen that's widely used in disinfectants. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In astronomy, Saturn is the sixth planet from the Sun in our solar system. We have 1 + 5 + 1 = 7 in base 10. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. 7 mod 11 = 7, so the digit is 7 and the carry is 0. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 76. Answer:\box{76}
Question: In base-11, what is 26+A7? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 6 + 7 = 13 in base-10. In many Western cultures, the number 13 is considered unlucky and is sometimes omitted from floor numbering in buildings. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. We have 2 + A + 1 = 13 in base 10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. So the answer is 122. Two is the base of the binary code, used extensively in computer science. Answer:\box{122}
Question: In base-11, what is 80+23? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 0 + 3 = 3 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 3 mod 11 = 3, so the digit is 3 and the carry is 0. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. We have 8 + 2 + 0 = 10 in base 10. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. A leading digit is 0. So the answer is A3. Physics recognises three laws of motion, first compiled by Isaac Newton. Answer:\box{A3}
Question: In base-11, what is 17+56? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 6 = 13 in base-10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Two is the base of the binary code, used extensively in computer science. We have 1 + 5 + 1 = 7 in base 10. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. 7 mod 11 = 7, so the digit is 7 and the carry is 0. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is 72. In human anatomy, the body is largely symmetrical with two halves. Answer:\box{72} | 14 | 6 | fixed |
In base-11, what is 84+78? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 151 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 9A+41? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have A + 1 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. We have 9 + 4 + 1 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 130. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. Answer:\box{130}
Question: In base-11, what is A1+10? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + 0 = 1 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 1 mod 11 = 1, so the digit is 1 and the carry is 0. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. We have A + 1 + 0 = 11 in base 10. In sports, cricket teams traditionally consist of 11 players on each side. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 101. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. Answer:\box{101}
Question: In base-11, what is A5+72? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 5 + 2 = 7 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. We have A + 7 + 0 = 17 in base 10. In human biology, the kidneys filter about 17 liters of blood every hour. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 167. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. Answer:\box{167}
Question: In base-11, what is 69+2A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 9 + A = 19 in base-10. A standard basketball game consists of four quarters, each lasting 19 minutes in many high school associations. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. We have 6 + 2 + 1 = 9 in base 10. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. 9 mod 11 = 9, so the digit is 9 and the carry is 0. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 98. Spiders, part of the arachnid family in biology, typically have eight legs. Answer:\box{98}
Question: In base-11, what is 59+51? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 9 + 1 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. We have 5 + 5 + 0 = 10 in base 10. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is AA. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Answer:\box{AA}
Question: In base-11, what is 77+70? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 0 = 7 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 7 mod 11 = 7, so the digit is 7 and the carry is 0. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. We have 7 + 7 + 0 = 14 in base 10. In classical music, Ludwig van Beethoven's 'Moonlight Sonata' is Piano Sonata No 14 and is one of his most famous compositions. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 137. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. Answer:\box{137}
Question: In base-11, what is 9A+8A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + A = 20 in base-10. Humans normally have 20 deciduous (primary or "baby") teeth that start to appear at about six months of age. Since we're in base-11, that exceeds the maximum value of A for a single digit. 20 mod 11 = 9, so the digit is 9 and the carry is 1. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. We have 9 + 8 + 1 = 18 in base 10. In physics, there are 18 families of elementary particles in the Standard Model. 18 mod 11 = 7, so the digit is 7 and the carry is 1. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 179. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. Answer:\box{179}
Question: In base-11, what is A8+51? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 8 + 1 = 9 in base-10. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. We have A + 5 + 0 = 15 in base 10. Fifteen is the atomic number of phosphorus in chemistry, an essential element for life as part of DNA and RNA. 15 mod 11 = 4, so the digit is 4 and the carry is 1. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. A leading digit is 1. So the answer is 149. Answer:\box{149}
Question: In base-11, what is 9A+11? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 1 = 11 in base-10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. We have 9 + 1 + 1 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 100. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). Answer:\box{100}
Question: In base-11, what is 72+7A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + A = 12 in base-10. In Greek mythology, the 12 labors of Hercules are a series of episodes concerning a penance carried out by Hercules. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. We have 7 + 7 + 1 = 15 in base 10. In mathematics, fifteen is a triangular number, meaning it can be arranged in a triangle with five items on a side. 15 mod 11 = 4, so the digit is 4 and the carry is 1. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. A leading digit is 1. So the answer is 141. In biology, humans have one heart, which pumps blood throughout the body. Answer:\box{141} | 14 | 6 | fixed |
In base-11, what is 91+29? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 10A | Math-11 | Irrelevant | Hard | Question: In base-11, what is 75+42? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 5 + 2 = 7 in base-10. In biology, a rainbow is seen in seven colors due to the refraction of light. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. We have 7 + 4 + 0 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 107. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. Answer:\box{107}
Question: In base-11, what is A6+84? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 4 = 10 in base-10. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. We have A + 8 + 0 = 18 in base 10. In Tarot, the Moon card is card number 18, representing intuition, dreams, and the unconscious. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. A leading digit is 1. So the answer is 17A. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Answer:\box{17A}
Question: In base-11, what is 5A+93? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 3 = 13 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. We have 5 + 9 + 1 = 15 in base 10. In binary, the decimal number 15 is represented as '1111', which is the maximum four-digit binary number. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 142. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. Answer:\box{142}
Question: In base-11, what is 25+16? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 5 + 6 = 11 in base-10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). We have 2 + 1 + 1 = 4 in base 10. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. 4 mod 11 = 4, so the digit is 4 and the carry is 0. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. A leading digit is 0. So the answer is 40. Answer:\box{40}
Question: In base-11, what is 50+A4? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 0 + 4 = 4 in base-10. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 4 mod 11 = 4, so the digit is 4 and the carry is 0. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. We have 5 + A + 0 = 15 in base 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 144. Answer:\box{144}
Question: In base-11, what is 34+A3? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 4 + 3 = 7 in base-10. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 7 mod 11 = 7, so the digit is 7 and the carry is 0. We have 3 + A + 0 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 127. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. Answer:\box{127}
Question: In base-11, what is 59+24? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 4 = 13 in base-10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. Since we're in base-11, that exceeds the maximum value of A for a single digit. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. We have 5 + 2 + 1 = 8 in base 10. In mathematics, eight is a Fibonacci number and a cube number. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 82. Humans have two sets of each of their chromosomes, making us diploid organisms. Answer:\box{82}
Question: In base-11, what is 19+36? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 9 + 6 = 15 in base-10. There are 15 facial bones in the human skull (not including the mandible, or lower jaw bone). Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 15 mod 11 = 4, so the digit is 4 and the carry is 1. We have 1 + 3 + 1 = 5 in base 10. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. 5 mod 11 = 5, so the digit is 5 and the carry is 0. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. A leading digit is 0. So the answer is 54. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. Answer:\box{54}
Question: In base-11, what is 29+28? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 9 + 8 = 17 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. According to the Standard Model of physics, there are six types of quarks, the fundamental constituents of matter. We have 2 + 2 + 1 = 5 in base 10. In mathematics, five is the third prime number, after two and three. 5 mod 11 = 5, so the digit is 5 and the carry is 0. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 56. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. Answer:\box{56}
Question: In base-11, what is 56+A2? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 6 + 2 = 8 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. We have 5 + A + 0 = 15 in base 10. In physics, 15 is the number of known types of spin-ice configurations in a geometrically frustrated magne. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 148. Spiders, part of the arachnid family in biology, typically have eight legs. Answer:\box{148} | 14 | 6 | fixed |
In base-11, what is 80+46? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 116 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 43+1A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 3 + A = 13 in base-10. In many Western cultures, the number 13 is considered unlucky and is sometimes omitted from floor numbering in buildings. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 4 + 1 + 1 = 6 in base 10. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. 6 mod 11 = 6, so the digit is 6 and the carry is 0. Six is the atomic number of carbon in chemistry, a key element for life as we know it. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is 62. Answer:\box{62}
Question: In base-11, what is 77+66? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 6 = 13 in base-10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Two is the base of the binary code, used extensively in computer science. We have 7 + 6 + 1 = 14 in base 10. Fourteen is the atomic number of silicon in chemistry, a key element used in semiconductors and various electronics. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 132. Humans have two sets of each of their chromosomes, making us diploid organisms. Answer:\box{132}
Question: In base-11, what is A9+34? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 4 = 13 in base-10. In many Western cultures, the number 13 is considered unlucky and is sometimes omitted from floor numbering in buildings. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. We have A + 3 + 1 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 132. Two is the base of the binary code, used extensively in computer science. Answer:\box{132}
Question: In base-11, what is 27+27? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 7 = 14 in base-10. In mathematics, fourteen is the number of days in a fortnight. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. We have 2 + 2 + 1 = 5 in base 10. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. 5 mod 11 = 5, so the digit is 5 and the carry is 0. Humans have five basic senses: sight, hearing, smell, taste, and touch. A leading digit is 0. So the answer is 53. In colors, there are three primary colors: red, yellow, and blue. Answer:\box{53}
Question: In base-11, what is 64+57? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 4 + 7 = 11 in base-10. In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. Since we're in base-11, that exceeds the maximum value of A for a single digit. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. We have 6 + 5 + 1 = 12 in base 10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. A leading digit is 1. So the answer is 110. In chemistry, pH 0 on the pH scale represents extreme acidity. Answer:\box{110}
Question: In base-11, what is 68+40? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 8 + 0 = 8 in base-10. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 8 mod 11 = 8, so the digit is 8 and the carry is 0. We have 6 + 4 + 0 = 10 in base 10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is A8. Answer:\box{A8}
Question: In base-11, what is 67+60? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 0 = 7 in base-10. In biology, a rainbow is seen in seven colors due to the refraction of light. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. We have 6 + 6 + 0 = 12 in base 10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 117. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. Answer:\box{117}
Question: In base-11, what is 5A+70? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have A + 0 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. We have 5 + 7 + 0 = 12 in base 10. In Greek mythology, the 12 labors of Hercules are a series of episodes concerning a penance carried out by Hercules. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 11A. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Answer:\box{11A}
Question: In base-11, what is 43+65? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 3 + 5 = 8 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 8 mod 11 = 8, so the digit is 8 and the carry is 0. Spiders, part of the arachnid family in biology, typically have eight legs. We have 4 + 6 + 0 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is A8. In computer science, a byte is typically made up of 8 bits. Answer:\box{A8}
Question: In base-11, what is 75+91? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 5 + 1 = 6 in base-10. The standard guitar has six strings. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. In geometry, a hexagon is a six-sided polygon. We have 7 + 9 + 0 = 16 in base 10. There are 16 ounces in a pound in the avoirdupois system of measurement. 16 mod 11 = 5, so the digit is 5 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 156. Answer:\box{156} | 14 | 6 | fixed |
In base-11, what is A5+51? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 146 | Math-11 | Irrelevant | Hard | Question: In base-11, what is A3+39? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 3 + 9 = 12 in base-10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 12 mod 11 = 1, so the digit is 1 and the carry is 1. One often represents the 'on' state in binary code, which underlies digital computing. We have A + 3 + 1 = 14 in base 10. In mathematics, fourteen is the number of days in a fortnight. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. So the answer is 131. In physics, the number one is the charge of a single unit of positive or negative electricity. Answer:\box{131}
Question: In base-11, what is 42+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + A = 12 in base-10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. We have 4 + A + 1 = 15 in base 10. In computer science, a 15-puzzle is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. A leading digit is 1. So the answer is 141. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. Answer:\box{141}
Question: In base-11, what is 44+6A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 4 + A = 14 in base-10. Humans have 14 phalangeal bones in each hand and foot, which make up the fingers and toes. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 14 mod 11 = 3, so the digit is 3 and the carry is 1. We have 4 + 6 + 1 = 11 in base 10. In sports, cricket teams traditionally consist of 11 players on each side. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. A leading digit is 1. So the answer is 103. Physics recognises three laws of motion, first compiled by Isaac Newton. Answer:\box{103}
Question: In base-11, what is 17+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 7 + 7 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Physics recognises three laws of motion, first compiled by Isaac Newton. We have 1 + 6 + 1 = 8 in base 10. In computer science, a byte is typically made up of 8 bits. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 83. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). Answer:\box{83}
Question: In base-11, what is 3A+3A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have A + A = 20 in base-10. Twenty is the atomic number of calcium in chemistry, an essential element for human life, crucial for bone health. Since we're in base-11, that exceeds the maximum value of A for a single digit. 20 mod 11 = 9, so the digit is 9 and the carry is 1. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. We have 3 + 3 + 1 = 7 in base 10. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. 7 mod 11 = 7, so the digit is 7 and the carry is 0. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. A leading digit is 0. So the answer is 79. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. Answer:\box{79}
Question: In base-11, what is 16+89? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 6 + 9 = 15 in base-10. In mathematics, a group of 15 is known as a pentadecagon, which is a polygon with 15 sides and 15 angles. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In geometry, a square has four equal sides and four right angles. We have 1 + 8 + 1 = 10 in base 10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. The decimal system, which is the most commonly used number system in the world, has a base of 10. A leading digit is 0. So the answer is A4. Answer:\box{A4}
Question: In base-11, what is A1+64? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 1 + 4 = 5 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 5 mod 11 = 5, so the digit is 5 and the carry is 0. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. We have A + 6 + 0 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 155. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. Answer:\box{155}
Question: In base-11, what is 89+31? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 9 + 1 = 10 in base-10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. We have 8 + 3 + 0 = 11 in base 10. In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. So the answer is 10A. The decimal system, which is the most commonly used number system in the world, has a base of 10. Answer:\box{10A}
Question: In base-11, what is 43+59? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 9 = 12 in base-10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. One often represents the 'on' state in binary code, which underlies digital computing. We have 4 + 5 + 1 = 10 in base 10. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is A1. Answer:\box{A1}
Question: In base-11, what is 76+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 6 + 7 = 13 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. We have 7 + 6 + 1 = 14 in base 10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. A leading digit is 1. So the answer is 132. Two is the base of the binary code, used extensively in computer science. Answer:\box{132} | 14 | 6 | fixed |
In base-11, what is 13+A0? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 103 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 38+8A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 8 + A = 18 in base-10. In computer science, the UTF-18 character set is a proposed extension of the Unicode standard to include a wider range of characters. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 18 mod 11 = 7, so the digit is 7 and the carry is 1. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. We have 3 + 8 + 1 = 12 in base 10. The 12 Zodiac signs represent different personality traits and are used in astrology. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. A leading digit is 1. So the answer is 117. Answer:\box{117}
Question: In base-11, what is 94+23? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 4 + 3 = 7 in base-10. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. We have 9 + 2 + 0 = 11 in base 10. In computer science, '11' is the binary representation of the decimal number 3. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 107. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. Answer:\box{107}
Question: In base-11, what is 2A+6A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have A + A = 20 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 20 mod 11 = 9, so the digit is 9 and the carry is 1. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. We have 2 + 6 + 1 = 9 in base 10. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. 9 mod 11 = 9, so the digit is 9 and the carry is 0. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 99. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. Answer:\box{99}
Question: In base-11, what is 60+80? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 0 + 0 = 0 in base-10. In chemistry, pH 0 on the pH scale represents extreme acidity. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 0 mod 11 = 0, so the digit is 0 and the carry is 0. We have 6 + 8 + 0 = 14 in base 10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 130. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. Answer:\box{130}
Question: In base-11, what is 19+34? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 9 + 4 = 13 in base-10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 1 + 3 + 1 = 5 in base 10. In mathematics, five is the third prime number, after two and three. 5 mod 11 = 5, so the digit is 5 and the carry is 0. In geometry, a pentagon is a five-sided polygon. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is 52. Answer:\box{52}
Question: In base-11, what is 74+35? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 4 + 5 = 9 in base-10. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. We have 7 + 3 + 0 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is A9. In mythology and religion, there are nine realms in Norse Cosmology. Answer:\box{A9}
Question: In base-11, what is 59+27? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 9 + 7 = 16 in base-10. Sixteen is the atomic number of sulfur in chemistry, an essential element for life found in two amino acids and two vitamins. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. We have 5 + 2 + 1 = 8 in base 10. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is a Fibonacci number and a cube number. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 85. Answer:\box{85}
Question: In base-11, what is 61+39? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 1 + 9 = 10 in base-10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. We have 6 + 3 + 0 = 9 in base 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is 9A. Answer:\box{9A}
Question: In base-11, what is 58+26? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 8 + 6 = 14 in base-10. In many cultures, 14 is a symbol of good luck and is often associated with romantic love, especially because of Valentine's Day occurring on February 14. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. We have 5 + 2 + 1 = 8 in base 10. Spiders, part of the arachnid family in biology, typically have eight legs. 8 mod 11 = 8, so the digit is 8 and the carry is 0. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is 83. In astronomy, Earth is the third planet from the Sun in our Solar System. Answer:\box{83}
Question: In base-11, what is 85+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 5 + 7 = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. We have 8 + 8 + 1 = 17 in base 10. In human biology, the kidneys filter about 17 liters of blood every hour. 17 mod 11 = 6, so the digit is 6 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 161. In physics, the number one is the charge of a single unit of positive or negative electricity. Answer:\box{161} | 14 | 6 | fixed |
In base-11, what is A8+62? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 15A | Math-11 | Irrelevant | Hard | Question: In base-11, what is 39+92? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 9 + 2 = 11 in base-10. In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. Since we're in base-11, that exceeds the maximum value of A for a single digit. 11 mod 11 = 0, so the digit is 0 and the carry is 1. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. We have 3 + 9 + 1 = 13 in base 10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. A leading digit is 1. So the answer is 120. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. Answer:\box{120}
Question: In base-11, what is 70+4A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 0 + A = 10 in base-10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 10 mod 11 = A, so the digit is A and the carry is 0. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. We have 7 + 4 + 0 = 11 in base 10. In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. So the answer is 10A. The decimal system, which is the most commonly used number system in the world, has a base of 10. Answer:\box{10A}
Question: In base-11, what is A5+89? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 5 + 9 = 14 in base-10. In classical music, Ludwig van Beethoven's 'Moonlight Sonata' is Piano Sonata No 14 and is one of his most famous compositions. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. We have A + 8 + 1 = 19 in base 10. In physics, the nineteenth century marked the discovery of thermodynamics, leading to the development of the steam engine and the industrial revolution. 19 mod 11 = 8, so the digit is 8 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 183. In colors, there are three primary colors: red, yellow, and blue. Answer:\box{183}
Question: In base-11, what is 74+99? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 4 + 9 = 13 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. We have 7 + 9 + 1 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 162. In human anatomy, the body is largely symmetrical with two halves. Answer:\box{162}
Question: In base-11, what is A6+73? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 6 + 3 = 9 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 9 mod 11 = 9, so the digit is 9 and the carry is 0. We have A + 7 + 0 = 17 in base 10. In human biology, the kidneys filter about 17 liters of blood every hour. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In geometry, a hexagon is a six-sided polygon. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 169. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. Answer:\box{169}
Question: In base-11, what is 61+82? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 1 + 2 = 3 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 3 mod 11 = 3, so the digit is 3 and the carry is 0. We have 6 + 8 + 0 = 14 in base 10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. 14 mod 11 = 3, so the digit is 3 and the carry is 1. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 133. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. Answer:\box{133}
Question: In base-11, what is 5A+79? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have A + 9 = 19 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In music, an octave consists of eight notes in the Western musical scale. We have 5 + 7 + 1 = 13 in base 10. A baker's dozen traditionally consists of 13 items, one more than the standard dozen. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 128. Eight is the atomic number of oxygen in chemistry, an element essential for human life. Answer:\box{128}
Question: In base-11, what is 67+69? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 7 + 9 = 16 in base-10. There are 16 ounces in a pound in the avoirdupois system of measurement. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 16 mod 11 = 5, so the digit is 5 and the carry is 1. We have 6 + 6 + 1 = 13 in base 10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. A leading digit is 1. So the answer is 125. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. Answer:\box{125}
Question: In base-11, what is 91+70? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + 0 = 1 in base-10. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 1 mod 11 = 1, so the digit is 1 and the carry is 0. In biology, humans have one heart, which pumps blood throughout the body. We have 9 + 7 + 0 = 16 in base 10. In mathematics, sixteen is a square number (4^2), meaning it can be arranged in a square with four items on a side. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 151. One often represents the 'on' state in binary code, which underlies digital computing. Answer:\box{151}
Question: In base-11, what is 39+64? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 4 = 13 in base-10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. We have 3 + 6 + 1 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is A2. In astronomy, Mars, the second planet after Earth, has 2 moons. Answer:\box{A2} | 14 | 6 | fixed |
In base-11, what is 84+29? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 102 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 91+57? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 1 + 7 = 8 in base-10. Eight is the atomic number of oxygen in chemistry, an element essential for human life. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. We have 9 + 5 + 0 = 14 in base 10. Fourteen is the atomic number of silicon in chemistry, a key element used in semiconductors and various electronics. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 138. Spiders, part of the arachnid family in biology, typically have eight legs. Answer:\box{138}
Question: In base-11, what is 98+68? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 8 + 8 = 16 in base-10. In physics, 16O (Oxygen-16) is the most abundant isotope of oxygen and accounts for about 99% of natural oxygen. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. We have 9 + 6 + 1 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 155. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. Answer:\box{155}
Question: In base-11, what is 89+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 9 + A = 19 in base-10. In human biology, the first 19 elements of the periodic table are all found in the human body. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In mathematics, eight is a Fibonacci number and a cube number. We have 8 + A + 1 = 19 in base 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In music, an octave consists of eight notes in the Western musical scale. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 188. Answer:\box{188}
Question: In base-11, what is 67+53? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 7 + 3 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. The decimal system, which is the most commonly used number system in the world, has a base of 10. We have 6 + 5 + 0 = 11 in base 10. In sports, cricket teams traditionally consist of 11 players on each side. 11 mod 11 = 0, so the digit is 0 and the carry is 1. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 10A. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Answer:\box{10A}
Question: In base-11, what is 62+42? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + 2 = 4 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 4 mod 11 = 4, so the digit is 4 and the carry is 0. In geometry, a square has four equal sides and four right angles. We have 6 + 4 + 0 = 10 in base 10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. The decimal system, which is the most commonly used number system in the world, has a base of 10. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is A4. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. Answer:\box{A4}
Question: In base-11, what is 38+95? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 8 + 5 = 13 in base-10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. We have 3 + 9 + 1 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. A leading digit is 1. So the answer is 122. In human anatomy, the body is largely symmetrical with two halves. Answer:\box{122}
Question: In base-11, what is A9+88? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 9 + 8 = 17 in base-10. In computer science, the '17 undecidable problems' is a list of computational problems proven to be unsolvable. Since we're in base-11, that exceeds the maximum value of A for a single digit. 17 mod 11 = 6, so the digit is 6 and the carry is 1. The standard guitar has six strings. We have A + 8 + 1 = 19 in base 10. In physics, the nineteenth century marked the discovery of thermodynamics, leading to the development of the steam engine and the industrial revolution. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. A leading digit is 1. So the answer is 186. Six is the first perfect number in mathematics, where a perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself. Answer:\box{186}
Question: In base-11, what is 31+79? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 1 + 9 = 10 in base-10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. We have 3 + 7 + 0 = 10 in base 10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. A leading digit is 0. So the answer is AA. Answer:\box{AA}
Question: In base-11, what is A2+84? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + 4 = 6 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 6 mod 11 = 6, so the digit is 6 and the carry is 0. In geometry, a hexagon is a six-sided polygon. We have A + 8 + 0 = 18 in base 10. In Tarot, the Moon card is card number 18, representing intuition, dreams, and the unconscious. 18 mod 11 = 7, so the digit is 7 and the carry is 1. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 176. The standard guitar has six strings. Answer:\box{176}
Question: In base-11, what is 70+43? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 0 + 3 = 3 in base-10. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 3 mod 11 = 3, so the digit is 3 and the carry is 0. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). We have 7 + 4 + 0 = 11 in base 10. In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 103. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. Answer:\box{103} | 14 | 6 | fixed |
In base-11, what is 84+46? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 11A | Math-11 | Irrelevant | Hard | Question: In base-11, what is 37+46? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 7 + 6 = 13 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. We have 3 + 4 + 1 = 8 in base 10. In music, an octave consists of eight notes in the Western musical scale. 8 mod 11 = 8, so the digit is 8 and the carry is 0. Spiders, part of the arachnid family in biology, typically have eight legs. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 82. In mathematics, an area is a two-dimensional size of a defined part of a surface. Answer:\box{82}
Question: In base-11, what is AA+91? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 1 = 11 in base-10. In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. We have A + 9 + 1 = 20 in base 10. Humans normally have 20 deciduous (primary or "baby") teeth that start to appear at about six months of age. 20 mod 11 = 9, so the digit is 9 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 190. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. Answer:\box{190}
Question: In base-11, what is 50+7A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 0 + A = 10 in base-10. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. We have 5 + 7 + 0 = 12 in base 10. In computer science, '12' is represented as '1100' in binary notation. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 11A. Answer:\box{11A}
Question: In base-11, what is 40+A0? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 0 + 0 = 0 in base-10. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 0 mod 11 = 0, so the digit is 0 and the carry is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). We have 4 + A + 0 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In colors, there are three primary colors: red, yellow, and blue. A leading digit is 1. So the answer is 130. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. Answer:\box{130}
Question: In base-11, what is 18+46? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 8 + 6 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 14 mod 11 = 3, so the digit is 3 and the carry is 1. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). We have 1 + 4 + 1 = 6 in base 10. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. 6 mod 11 = 6, so the digit is 6 and the carry is 0. The standard guitar has six strings. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is 63. Answer:\box{63}
Question: In base-11, what is 46+24? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 6 + 4 = 10 in base-10. The decimal system, which is the most commonly used number system in the world, has a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. We have 4 + 2 + 0 = 6 in base 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is 6A. The number 10 is symbolic in many cultures, often representing perfection or completeness. Answer:\box{6A}
Question: In base-11, what is 87+9A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 7 + A = 17 in base-10. The 'Rule of Seventeen' in bridge is a guideline for estimating the strength of one's hand. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. We have 8 + 9 + 1 = 18 in base 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 176. Answer:\box{176}
Question: In base-11, what is 53+65? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 5 = 8 in base-10. Spiders, part of the arachnid family in biology, typically have eight legs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In music, an octave consists of eight notes in the Western musical scale. We have 5 + 6 + 0 = 11 in base 10. In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). 11 mod 11 = 0, so the digit is 0 and the carry is 1. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 108. Answer:\box{108}
Question: In base-11, what is 81+80? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + 0 = 1 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 1 mod 11 = 1, so the digit is 1 and the carry is 0. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. We have 8 + 8 + 0 = 16 in base 10. In human biology, 16 is the number of chromosomes in the parasite that causes malaria (Plasmodium falciparum). 16 mod 11 = 5, so the digit is 5 and the carry is 1. In geometry, a pentagon is a five-sided polygon. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 151. In physics, the number one is the charge of a single unit of positive or negative electricity. Answer:\box{151}
Question: In base-11, what is 60+9A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 0 + A = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. We have 6 + 9 + 0 = 15 in base 10. Fifteen is the atomic number of phosphorus in chemistry, an essential element in all forms of life. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 14A. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Answer:\box{14A} | 14 | 6 | fixed |
In base-11, what is 78+63? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 130 | Math-11 | Irrelevant | Hard | Question: In base-11, what is A4+76? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 4 + 6 = 10 in base-10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. We have A + 7 + 0 = 17 in base 10. In mathematics, seventeen is a prime number, which can only be divided by 1 and itself. 17 mod 11 = 6, so the digit is 6 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 16A. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. Answer:\box{16A}
Question: In base-11, what is 83+38? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 8 = 11 in base-10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. Since we're in base-11, that exceeds the maximum value of A for a single digit. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). We have 8 + 3 + 1 = 12 in base 10. In computer science, '12' is represented as '1100' in binary notation. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 110. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. Answer:\box{110}
Question: In base-11, what is 38+77? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 8 + 7 = 15 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. We have 3 + 7 + 1 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 104. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. Answer:\box{104}
Question: In base-11, what is 97+76? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 7 + 6 = 13 in base-10. A baker's dozen traditionally consists of 13 items, one more than the standard dozen. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 9 + 7 + 1 = 17 in base 10. In human biology, the kidneys filter about 17 liters of blood every hour. 17 mod 11 = 6, so the digit is 6 and the carry is 1. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 162. Answer:\box{162}
Question: In base-11, what is A2+62? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + 2 = 4 in base-10. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 4 mod 11 = 4, so the digit is 4 and the carry is 0. We have A + 6 + 0 = 16 in base 10. In human biology, 16 is the number of chromosomes in the parasite that causes malaria (Plasmodium falciparum). 16 mod 11 = 5, so the digit is 5 and the carry is 1. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 154. In geometry, a square has four equal sides and four right angles. Answer:\box{154}
Question: In base-11, what is 33+81? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 3 + 1 = 4 in base-10. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 4 mod 11 = 4, so the digit is 4 and the carry is 0. We have 3 + 8 + 0 = 11 in base 10. In computer science, '11' is the binary representation of the decimal number 3. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In chemistry, pH 0 on the pH scale represents extreme acidity. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 104. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. Answer:\box{104}
Question: In base-11, what is 84+6A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 4 + A = 14 in base-10. Humans have 14 phalangeal bones in each hand and foot, which make up the fingers and toes. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. We have 8 + 6 + 1 = 15 in base 10. In computer science, a 15-puzzle is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 143. Physics recognises three laws of motion, first compiled by Isaac Newton. Answer:\box{143}
Question: In base-11, what is A2+21? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 2 + 1 = 3 in base-10. In astronomy, Earth is the third planet from the Sun in our Solar System. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 3 mod 11 = 3, so the digit is 3 and the carry is 0. In colors, there are three primary colors: red, yellow, and blue. We have A + 2 + 0 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 113. Answer:\box{113}
Question: In base-11, what is 53+A5? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 3 + 5 = 8 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In music, an octave consists of eight notes in the Western musical scale. We have 5 + A + 0 = 15 in base 10. Fifteen is the atomic number of phosphorus in chemistry, an essential element for life as part of DNA and RNA. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In geometry, a square has four equal sides and four right angles. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 148. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. Answer:\box{148}
Question: In base-11, what is 30+A7? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 0 + 7 = 7 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 7 mod 11 = 7, so the digit is 7 and the carry is 0. We have 3 + A + 0 = 13 in base 10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, an area is a two-dimensional size of a defined part of a surface. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 127. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. Answer:\box{127} | 14 | 6 | fixed |
In base-11, what is A4+20? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 114 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 65+9A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 5 + A = 15 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In geometry, a square has four equal sides and four right angles. We have 6 + 9 + 1 = 16 in base 10. In computer science, hexadecimal is a base-16 number system, and it is widely used in programming. 16 mod 11 = 5, so the digit is 5 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 154. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. Answer:\box{154}
Question: In base-11, what is 7A+9A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have A + A = 20 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 20 mod 11 = 9, so the digit is 9 and the carry is 1. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. We have 7 + 9 + 1 = 17 in base 10. In computer science, the '17 undecidable problems' is a list of computational problems proven to be unsolvable. 17 mod 11 = 6, so the digit is 6 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 169. The gestation period of a human pregnancy is typically nine months. Answer:\box{169}
Question: In base-11, what is 66+61? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 6 + 1 = 7 in base-10. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In biology, a rainbow is seen in seven colors due to the refraction of light. We have 6 + 6 + 0 = 12 in base 10. The 12 Zodiac signs represent different personality traits and are used in astrology. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. So the answer is 117. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. Answer:\box{117}
Question: In base-11, what is 81+56? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 1 + 6 = 7 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 7 mod 11 = 7, so the digit is 7 and the carry is 0. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. We have 8 + 5 + 0 = 13 in base 10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, an area is a two-dimensional size of a defined part of a surface. A leading digit is 1. So the answer is 127. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. Answer:\box{127}
Question: In base-11, what is 68+33? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 8 + 3 = 11 in base-10. In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). We have 6 + 3 + 1 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. A leading digit is 0. So the answer is A0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. Answer:\box{A0}
Question: In base-11, what is 70+A5? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 0 + 5 = 5 in base-10. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 5 mod 11 = 5, so the digit is 5 and the carry is 0. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. We have 7 + A + 0 = 17 in base 10. The 'Rule of Seventeen' in bridge is a guideline for estimating the strength of one's hand. 17 mod 11 = 6, so the digit is 6 and the carry is 1. The standard guitar has six strings. A leading digit is 1. So the answer is 165. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. Answer:\box{165}
Question: In base-11, what is A5+66? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 5 + 6 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. We have A + 6 + 1 = 17 in base 10. In physics, group 17 elements in the periodic table are known as the halogens, which include fluorine and chlorine. 17 mod 11 = 6, so the digit is 6 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 160. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. Answer:\box{160}
Question: In base-11, what is 81+24? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + 4 = 5 in base-10. In geometry, a pentagon is a five-sided polygon. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 5 mod 11 = 5, so the digit is 5 and the carry is 0. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. We have 8 + 2 + 0 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is A5. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. Answer:\box{A5}
Question: In base-11, what is 74+73? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 4 + 3 = 7 in base-10. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 7 mod 11 = 7, so the digit is 7 and the carry is 0. We have 7 + 7 + 0 = 14 in base 10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 137. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. Answer:\box{137}
Question: In base-11, what is 61+3A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 1 + A = 11 in base-10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. Since we're in base-11, that exceeds the maximum value of A for a single digit. 11 mod 11 = 0, so the digit is 0 and the carry is 1. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. We have 6 + 3 + 1 = 10 in base 10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. The decimal system, which is the most commonly used number system in the world, has a base of 10. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is A0. Answer:\box{A0} | 14 | 6 | fixed |
In base-11, what is 35+A9? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 133 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 79+89? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 9 + 9 = 18 in base-10. Humans have 18 muscles in each hand, which control fine motor movements. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. We have 7 + 8 + 1 = 16 in base 10. There are 16 ounces in a pound in the avoirdupois system of measurement. 16 mod 11 = 5, so the digit is 5 and the carry is 1. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. A leading digit is 1. So the answer is 157. Answer:\box{157}
Question: In base-11, what is 71+78? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 1 + 8 = 9 in base-10. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 9 mod 11 = 9, so the digit is 9 and the carry is 0. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. We have 7 + 7 + 0 = 14 in base 10. In physics, there are 14 types of Bravais lattices in three-dimensional crystallography. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 139. Answer:\box{139}
Question: In base-11, what is 16+57? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 6 + 7 = 13 in base-10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Two is the base of the binary code, used extensively in computer science. We have 1 + 5 + 1 = 7 in base 10. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. 7 mod 11 = 7, so the digit is 7 and the carry is 0. A leading digit is 0. So the answer is 72. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. Answer:\box{72}
Question: In base-11, what is 98+41? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 8 + 1 = 9 in base-10. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 9 mod 11 = 9, so the digit is 9 and the carry is 0. We have 9 + 4 + 0 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 129. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. Answer:\box{129}
Question: In base-11, what is 52+59? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 2 + 9 = 11 in base-10. In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. We have 5 + 5 + 1 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 100. Answer:\box{100}
Question: In base-11, what is 82+91? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + 1 = 3 in base-10. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 3 mod 11 = 3, so the digit is 3 and the carry is 0. We have 8 + 9 + 0 = 17 in base 10. In mathematics, seventeen is a prime number, which can only be divided by 1 and itself. 17 mod 11 = 6, so the digit is 6 and the carry is 1. The standard guitar has six strings. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 163. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). Answer:\box{163}
Question: In base-11, what is 32+18? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + 8 = 10 in base-10. The decimal system, which is the most commonly used number system in the world, has a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. We have 3 + 1 + 0 = 4 in base 10. 4 mod 11 = 4, so the digit is 4 and the carry is 0. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is 4A. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Answer:\box{4A}
Question: In base-11, what is 83+95? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 3 + 5 = 8 in base-10. In mathematics, eight is a Fibonacci number and a cube number. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. Eight is the atomic number of oxygen in chemistry, an element essential for human life. We have 8 + 9 + 0 = 17 in base 10. In mathematics, seventeen is a prime number, which can only be divided by 1 and itself. 17 mod 11 = 6, so the digit is 6 and the carry is 1. A leading digit is 1. So the answer is 168. In physics, eight is the number of vertices of a cube. Answer:\box{168}
Question: In base-11, what is 63+91? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 3 + 1 = 4 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 4 mod 11 = 4, so the digit is 4 and the carry is 0. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. We have 6 + 9 + 0 = 15 in base 10. Fifteen is the atomic number of phosphorus in chemistry, an essential element for life as part of DNA and RNA. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 144. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. Answer:\box{144}
Question: In base-11, what is 9A+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have A + A = 20 in base-10. Twenty is the atomic number of calcium in chemistry, an essential element for human life, crucial for bone health. Since we're in base-11, that exceeds the maximum value of A for a single digit. 20 mod 11 = 9, so the digit is 9 and the carry is 1. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. We have 9 + A + 1 = 20 in base 10. In mathematics, twenty is the basis of vigesimal number systems and is used in scoring many traditional games. 20 mod 11 = 9, so the digit is 9 and the carry is 1. The gestation period of a human pregnancy is typically nine months. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 199. Answer:\box{199} | 14 | 6 | fixed |
In base-11, what is 81+97? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 168 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 37+15? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 7 + 5 = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. We have 3 + 1 + 1 = 5 in base 10. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. 5 mod 11 = 5, so the digit is 5 and the carry is 0. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is 51. In physics, the number one is the charge of a single unit of positive or negative electricity. Answer:\box{51}
Question: In base-11, what is 72+77? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + 7 = 9 in base-10. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 9 mod 11 = 9, so the digit is 9 and the carry is 0. We have 7 + 7 + 0 = 14 in base 10. In many cultures, 14 is a symbol of good luck and is often associated with romantic love, especially because of Valentine's Day occurring on February 14. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 139. In mythology and religion, there are nine realms in Norse Cosmology. Answer:\box{139}
Question: In base-11, what is 39+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + A = 19 in base-10. COVID-19, which stands for 'Coronavirus Disease 2019', was named for the year it was first identified. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 19 mod 11 = 8, so the digit is 8 and the carry is 1. Eight is the atomic number of oxygen in chemistry, an element essential for human life. We have 3 + A + 1 = 14 in base 10. In mathematics, fourteen is the number of days in a fortnight. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 138. In mathematics, eight is a Fibonacci number and a cube number. Answer:\box{138}
Question: In base-11, what is 77+76? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 7 + 6 = 13 in base-10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Humans have two sets of each of their chromosomes, making us diploid organisms. We have 7 + 7 + 1 = 15 in base 10. There are 15 facial bones in the human skull (not including the mandible, or lower jaw bone). 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 142. Answer:\box{142}
Question: In base-11, what is A7+31? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 7 + 1 = 8 in base-10. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 8 mod 11 = 8, so the digit is 8 and the carry is 0. We have A + 3 + 0 = 13 in base 10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In human anatomy, the body is largely symmetrical with two halves. A leading digit is 1. So the answer is 128. In music, an octave consists of eight notes in the Western musical scale. Answer:\box{128}
Question: In base-11, what is 97+A2? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 7 + 2 = 9 in base-10. In mythology and religion, there are nine realms in Norse Cosmology. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 9 mod 11 = 9, so the digit is 9 and the carry is 0. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. We have 9 + A + 0 = 19 in base 10. COVID-19, which stands for 'Coronavirus Disease 2019', was named for the year it was first identified. 19 mod 11 = 8, so the digit is 8 and the carry is 1. A leading digit is 1. So the answer is 189. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. Answer:\box{189}
Question: In base-11, what is 29+A3? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 9 + 3 = 12 in base-10. Humans typically have 12 pairs of ribs in their skeletal structure. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. We have 2 + A + 1 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 121. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. Answer:\box{121}
Question: In base-11, what is 74+34? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 4 + 4 = 8 in base-10. In music, an octave consists of eight notes in the Western musical scale. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. Eight is the atomic number of oxygen in chemistry, an element essential for human life. We have 7 + 3 + 0 = 10 in base 10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is A8. Answer:\box{A8}
Question: In base-11, what is 96+64? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 6 + 4 = 10 in base-10. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. We have 9 + 6 + 0 = 15 in base 10. In binary, the decimal number 15 is represented as '1111', which is the maximum four-digit binary number. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 14A. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Answer:\box{14A}
Question: In base-11, what is 98+25? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 8 + 5 = 13 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. We have 9 + 2 + 1 = 12 in base 10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 112. In human anatomy, the body is largely symmetrical with two halves. Answer:\box{112} | 14 | 6 | fixed |
In base-11, what is 75+70? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 135 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 35+84? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 5 + 4 = 9 in base-10. The gestation period of a human pregnancy is typically nine months. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. We have 3 + 8 + 0 = 11 in base 10. In sports, cricket teams traditionally consist of 11 players on each side. 11 mod 11 = 0, so the digit is 0 and the carry is 1. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 109. Answer:\box{109}
Question: In base-11, what is 22+A3? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 2 + 3 = 5 in base-10. In geometry, a pentagon is a five-sided polygon. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 5 mod 11 = 5, so the digit is 5 and the carry is 0. In mathematics, five is the third prime number, after two and three. We have 2 + A + 0 = 12 in base 10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. So the answer is 115. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. Answer:\box{115}
Question: In base-11, what is 53+97? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 3 + 7 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. The decimal system, which is the most commonly used number system in the world, has a base of 10. We have 5 + 9 + 0 = 14 in base 10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. A leading digit is 1. So the answer is 13A. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Answer:\box{13A}
Question: In base-11, what is 28+91? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 8 + 1 = 9 in base-10. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 9 mod 11 = 9, so the digit is 9 and the carry is 0. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. We have 2 + 9 + 0 = 11 in base 10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. 11 mod 11 = 0, so the digit is 0 and the carry is 1. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 109. Answer:\box{109}
Question: In base-11, what is 19+95? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 9 + 5 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. We have 1 + 9 + 1 = 11 in base 10. In computer science, '11' is the binary representation of the decimal number 3. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 103. Answer:\box{103}
Question: In base-11, what is 96+3A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 6 + A = 16 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 16 mod 11 = 5, so the digit is 5 and the carry is 1. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. We have 9 + 3 + 1 = 13 in base 10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Humans have two sets of each of their chromosomes, making us diploid organisms. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 125. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. Answer:\box{125}
Question: In base-11, what is 85+56? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 5 + 6 = 11 in base-10. In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. Since we're in base-11, that exceeds the maximum value of A for a single digit. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. We have 8 + 5 + 1 = 14 in base 10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 130. Answer:\box{130}
Question: In base-11, what is 35+92? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 5 + 2 = 7 in base-10. In biology, a rainbow is seen in seven colors due to the refraction of light. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 7 mod 11 = 7, so the digit is 7 and the carry is 0. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. We have 3 + 9 + 0 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. A leading digit is 1. So the answer is 117. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. Answer:\box{117}
Question: In base-11, what is 50+54? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 0 + 4 = 4 in base-10. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 4 mod 11 = 4, so the digit is 4 and the carry is 0. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. We have 5 + 5 + 0 = 10 in base 10. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is A4. Answer:\box{A4}
Question: In base-11, what is 67+37? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 7 = 14 in base-10. In many cultures, 14 is a symbol of good luck and is often associated with romantic love, especially because of Valentine's Day occurring on February 14. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. We have 6 + 3 + 1 = 10 in base 10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is A3. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). Answer:\box{A3} | 14 | 6 | fixed |
In base-11, what is 26+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 125 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 47+25? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 7 + 5 = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. We have 4 + 2 + 1 = 7 in base 10. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. 7 mod 11 = 7, so the digit is 7 and the carry is 0. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 71. Answer:\box{71}
Question: In base-11, what is A1+28? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 1 + 8 = 9 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In mythology and religion, there are nine realms in Norse Cosmology. We have A + 2 + 0 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 119. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. Answer:\box{119}
Question: In base-11, what is 7A+1A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have A + A = 20 in base-10. Twenty is the atomic number of calcium in chemistry, an essential element for human life, crucial for bone health. Since we're in base-11, that exceeds the maximum value of A for a single digit. 20 mod 11 = 9, so the digit is 9 and the carry is 1. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. We have 7 + 1 + 1 = 9 in base 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 99. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. Answer:\box{99}
Question: In base-11, what is 19+59? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 9 + 9 = 18 in base-10. In physics, there are 18 families of elementary particles in the Standard Model. Since we're in base-11, that exceeds the maximum value of A for a single digit. 18 mod 11 = 7, so the digit is 7 and the carry is 1. We have 1 + 5 + 1 = 7 in base 10. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 77. In biology, a rainbow is seen in seven colors due to the refraction of light. Answer:\box{77}
Question: In base-11, what is 37+76? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 7 + 6 = 13 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. We have 3 + 7 + 1 = 11 in base 10. In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In chemistry, pH 0 on the pH scale represents extreme acidity. A leading digit is 1. So the answer is 102. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. Answer:\box{102}
Question: In base-11, what is 69+24? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 9 + 4 = 13 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. We have 6 + 2 + 1 = 9 in base 10. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. 9 mod 11 = 9, so the digit is 9 and the carry is 0. The gestation period of a human pregnancy is typically nine months. A leading digit is 0. So the answer is 92. In human anatomy, the body is largely symmetrical with two halves. Answer:\box{92}
Question: In base-11, what is 88+A2? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 8 + 2 = 10 in base-10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. We have 8 + A + 0 = 18 in base 10. Humans have 18 muscles in each hand, which control fine motor movements. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. A leading digit is 1. So the answer is 17A. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Answer:\box{17A}
Question: In base-11, what is 2A+A6? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have A + 6 = 16 in base-10. In computer science, a 'nibble' is a four-bit aggregation, or half an octet, and two nibbles make up a byte, which is 16 bits. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 16 mod 11 = 5, so the digit is 5 and the carry is 1. We have 2 + A + 1 = 13 in base 10. A baker's dozen traditionally consists of 13 items, one more than the standard dozen. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In human anatomy, the body is largely symmetrical with two halves. A leading digit is 1. So the answer is 125. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. Answer:\box{125}
Question: In base-11, what is 52+60? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 2 + 0 = 2 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 2 mod 11 = 2, so the digit is 2 and the carry is 0. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. We have 5 + 6 + 0 = 11 in base 10. In computer science, '11' is the binary representation of the decimal number 3. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. A leading digit is 1. So the answer is 102. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. Answer:\box{102}
Question: In base-11, what is 9A+22? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have A + 2 = 12 in base-10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. We have 9 + 2 + 1 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 111. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. Answer:\box{111} | 14 | 6 | fixed |
In base-11, what is 73+1A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 92 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 15+A8? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 5 + 8 = 13 in base-10. A baker's dozen traditionally consists of 13 items, one more than the standard dozen. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 1 + A + 1 = 12 in base 10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 112. Answer:\box{112}
Question: In base-11, what is 82+80? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 2 + 0 = 2 in base-10. Two is the base of the binary code, used extensively in computer science. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 2 mod 11 = 2, so the digit is 2 and the carry is 0. Humans have two sets of each of their chromosomes, making us diploid organisms. We have 8 + 8 + 0 = 16 in base 10. Sixteen is the atomic number of sulfur in chemistry, an essential element for life found in two amino acids and two vitamins. 16 mod 11 = 5, so the digit is 5 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 152. Answer:\box{152}
Question: In base-11, what is A1+50? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 1 + 0 = 1 in base-10. In physics, the number one is the charge of a single unit of positive or negative electricity. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 1 mod 11 = 1, so the digit is 1 and the carry is 0. We have A + 5 + 0 = 15 in base 10. In physics, 15 is the number of known types of spin-ice configurations in a geometrically frustrated magne. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 141. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. Answer:\box{141}
Question: In base-11, what is 92+97? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 2 + 7 = 9 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. We have 9 + 9 + 0 = 18 in base 10. Humans have 18 muscles in each hand, which control fine motor movements. 18 mod 11 = 7, so the digit is 7 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 179. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. Answer:\box{179}
Question: In base-11, what is 76+16? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 6 + 6 = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. We have 7 + 1 + 1 = 9 in base 10. In mythology and religion, there are nine realms in Norse Cosmology. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 91. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. Answer:\box{91}
Question: In base-11, what is A9+17? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 7 = 16 in base-10. In mathematics, sixteen is a square number (4^2), and it is the fourth power of two (2^4). Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 16 mod 11 = 5, so the digit is 5 and the carry is 1. We have A + 1 + 1 = 12 in base 10. In computer science, '12' is represented as '1100' in binary notation. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 115. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. Answer:\box{115}
Question: In base-11, what is 45+A1? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 5 + 1 = 6 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. The standard guitar has six strings. We have 4 + A + 0 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 136. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. Answer:\box{136}
Question: In base-11, what is A0+50? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 0 + 0 = 0 in base-10. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 0 mod 11 = 0, so the digit is 0 and the carry is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. We have A + 5 + 0 = 15 in base 10. In computer science, a 15-puzzle is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. A leading digit is 1. So the answer is 140. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. Answer:\box{140}
Question: In base-11, what is 16+A1? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 1 = 7 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 7 mod 11 = 7, so the digit is 7 and the carry is 0. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. We have 1 + A + 0 = 11 in base 10. In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 107. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. Answer:\box{107}
Question: In base-11, what is 85+16? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 5 + 6 = 11 in base-10. In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 8 + 1 + 1 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is A0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. Answer:\box{A0} | 14 | 6 | fixed |
In base-11, what is 54+71? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 115 | Math-11 | Irrelevant | Hard | Question: In base-11, what is A8+78? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 8 + 8 = 16 in base-10. In mathematics, sixteen is a square number (4^2), meaning it can be arranged in a square with four items on a side. Since we're in base-11, that exceeds the maximum value of A for a single digit. 16 mod 11 = 5, so the digit is 5 and the carry is 1. We have A + 7 + 1 = 18 in base 10. In computer science, the UTF-18 character set is a proposed extension of the Unicode standard to include a wider range of characters. 18 mod 11 = 7, so the digit is 7 and the carry is 1. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 175. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. Answer:\box{175}
Question: In base-11, what is 80+99? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 0 + 9 = 9 in base-10. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. We have 8 + 9 + 0 = 17 in base 10. In computer science, the Windows 17 operating system is a fictitious version, as Microsoft has not released such a version. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In astronomy, Saturn is the sixth planet from the Sun in our solar system. A leading digit is 1. So the answer is 169. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. Answer:\box{169}
Question: In base-11, what is 12+18? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 2 + 8 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. The decimal system, which is the most commonly used number system in the world, has a base of 10. We have 1 + 1 + 0 = 2 in base 10. Humans have two sets of each of their chromosomes, making us diploid organisms. 2 mod 11 = 2, so the digit is 2 and the carry is 0. Two is the base of the binary code, used extensively in computer science. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 2A. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. Answer:\box{2A}
Question: In base-11, what is 26+A4? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 6 + 4 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. We have 2 + A + 0 = 12 in base 10. In Greek mythology, the 12 labors of Hercules are a series of episodes concerning a penance carried out by Hercules. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 11A. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Answer:\box{11A}
Question: In base-11, what is 63+9A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + A = 13 in base-10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Two is the base of the binary code, used extensively in computer science. We have 6 + 9 + 1 = 16 in base 10. In mathematics, sixteen is a square number (4^2), and it is the fourth power of two (2^4). 16 mod 11 = 5, so the digit is 5 and the carry is 1. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 152. Answer:\box{152}
Question: In base-11, what is 15+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 5 + A = 15 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In geometry, a square has four equal sides and four right angles. We have 1 + A + 1 = 12 in base 10. In computer science, '12' is represented as '1100' in binary notation. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 114. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. Answer:\box{114}
Question: In base-11, what is 9A+62? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 2 = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. One often represents the 'on' state in binary code, which underlies digital computing. We have 9 + 6 + 1 = 16 in base 10. In human biology, 16 is the number of chromosomes in the parasite that causes malaria (Plasmodium falciparum). 16 mod 11 = 5, so the digit is 5 and the carry is 1. In mathematics, five is the third prime number, after two and three. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 151. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. Answer:\box{151}
Question: In base-11, what is 27+98? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 7 + 8 = 15 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. We have 2 + 9 + 1 = 12 in base 10. Humans typically have 12 pairs of ribs in their skeletal structure. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 114. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. Answer:\box{114}
Question: In base-11, what is 25+82? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 5 + 2 = 7 in base-10. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 7 mod 11 = 7, so the digit is 7 and the carry is 0. We have 2 + 8 + 0 = 10 in base 10. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is A7. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. Answer:\box{A7}
Question: In base-11, what is 71+40? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + 0 = 1 in base-10. In physics, the number one is the charge of a single unit of positive or negative electricity. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 1 mod 11 = 1, so the digit is 1 and the carry is 0. We have 7 + 4 + 0 = 11 in base 10. In computer science, '11' is the binary representation of the decimal number 3. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 101. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. Answer:\box{101} | 14 | 6 | fixed |
In base-11, what is 64+69? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 122 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 48+85? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 8 + 5 = 13 in base-10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. We have 4 + 8 + 1 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 122. In mathematics, an area is a two-dimensional size of a defined part of a surface. Answer:\box{122}
Question: In base-11, what is 75+28? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 5 + 8 = 13 in base-10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 7 + 2 + 1 = 10 in base 10. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is A2. Answer:\box{A2}
Question: In base-11, what is 84+69? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 4 + 9 = 13 in base-10. In mathematics, thirteen is a prime number, the 6th prime number in the series, following 2, 3, 5, 7, and 11. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 8 + 6 + 1 = 15 in base 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 142. Humans have two sets of each of their chromosomes, making us diploid organisms. Answer:\box{142}
Question: In base-11, what is 24+46? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 4 + 6 = 10 in base-10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. We have 2 + 4 + 0 = 6 in base 10. The standard guitar has six strings. 6 mod 11 = 6, so the digit is 6 and the carry is 0. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 6A. The number 10 is symbolic in many cultures, often representing perfection or completeness. Answer:\box{6A}
Question: In base-11, what is 48+60? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 8 + 0 = 8 in base-10. Eight is the atomic number of oxygen in chemistry, an element essential for human life. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is a Fibonacci number and a cube number. We have 4 + 6 + 0 = 10 in base 10. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. A leading digit is 0. So the answer is A8. Answer:\box{A8}
Question: In base-11, what is 2A+86? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 6 = 16 in base-10. In mathematics, sixteen is a square number (4^2), and it is the fourth power of two (2^4). Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In geometry, a pentagon is a five-sided polygon. We have 2 + 8 + 1 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In chemistry, pH 0 on the pH scale represents extreme acidity. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 105. Humans have five basic senses: sight, hearing, smell, taste, and touch. Answer:\box{105}
Question: In base-11, what is 70+94? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 0 + 4 = 4 in base-10. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 4 mod 11 = 4, so the digit is 4 and the carry is 0. We have 7 + 9 + 0 = 16 in base 10. In computer science, hexadecimal is a base-16 number system, and it is widely used in programming. 16 mod 11 = 5, so the digit is 5 and the carry is 1. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 154. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. Answer:\box{154}
Question: In base-11, what is 95+28? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 5 + 8 = 13 in base-10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. Since we're in base-11, that exceeds the maximum value of A for a single digit. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. We have 9 + 2 + 1 = 12 in base 10. In Greek mythology, the 12 labors of Hercules are a series of episodes concerning a penance carried out by Hercules. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 112. Two is the base of the binary code, used extensively in computer science. Answer:\box{112}
Question: In base-11, what is 14+77? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 4 + 7 = 11 in base-10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). We have 1 + 7 + 1 = 9 in base 10. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. 9 mod 11 = 9, so the digit is 9 and the carry is 0. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is 90. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. Answer:\box{90}
Question: In base-11, what is 85+65? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 5 + 5 = 10 in base-10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. We have 8 + 6 + 0 = 14 in base 10. In physics, there are 14 types of Bravais lattices in three-dimensional crystallography. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 13A. Answer:\box{13A} | 14 | 6 | fixed |
In base-11, what is 48+90? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 128 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 79+83? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 9 + 3 = 12 in base-10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. We have 7 + 8 + 1 = 16 in base 10. Sixteen is the atomic number of sulfur in chemistry, an essential element for life found in two amino acids and two vitamins. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Humans have five basic senses: sight, hearing, smell, taste, and touch. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 151. Answer:\box{151}
Question: In base-11, what is 36+57? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 6 + 7 = 13 in base-10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. Since we're in base-11, that exceeds the maximum value of A for a single digit. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In human anatomy, the body is largely symmetrical with two halves. We have 3 + 5 + 1 = 9 in base 10. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. 9 mod 11 = 9, so the digit is 9 and the carry is 0. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is 92. In astronomy, Mars, the second planet after Earth, has 2 moons. Answer:\box{92}
Question: In base-11, what is 95+A0? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 5 + 0 = 5 in base-10. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 5 mod 11 = 5, so the digit is 5 and the carry is 0. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. We have 9 + A + 0 = 19 in base 10. In physics, the nineteenth century marked the discovery of thermodynamics, leading to the development of the steam engine and the industrial revolution. 19 mod 11 = 8, so the digit is 8 and the carry is 1. A leading digit is 1. So the answer is 185. In geometry, a pentagon is a five-sided polygon. Answer:\box{185}
Question: In base-11, what is 92+50? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 2 + 0 = 2 in base-10. Humans have two sets of each of their chromosomes, making us diploid organisms. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 2 mod 11 = 2, so the digit is 2 and the carry is 0. Two is the base of the binary code, used extensively in computer science. We have 9 + 5 + 0 = 14 in base 10. In mathematics, fourteen is the number of days in a fortnight. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 132. Answer:\box{132}
Question: In base-11, what is 49+33? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 9 + 3 = 12 in base-10. The 12 Zodiac signs represent different personality traits and are used in astrology. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. We have 4 + 3 + 1 = 8 in base 10. In music, an octave consists of eight notes in the Western musical scale. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 81. Answer:\box{81}
Question: In base-11, what is 76+A5? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 6 + 5 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In chemistry, pH 0 on the pH scale represents extreme acidity. We have 7 + A + 1 = 18 in base 10. In mathematics, eighteen is the only number that equals twice the sum of its decimal digits (1+8=9, and 9*2=18). 18 mod 11 = 7, so the digit is 7 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 170. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. Answer:\box{170}
Question: In base-11, what is 62+2A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 2 + A = 12 in base-10. In Greek mythology, the 12 labors of Hercules are a series of episodes concerning a penance carried out by Hercules. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. We have 6 + 2 + 1 = 9 in base 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. The gestation period of a human pregnancy is typically nine months. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 91. Answer:\box{91}
Question: In base-11, what is 53+51? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 3 + 1 = 4 in base-10. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 4 mod 11 = 4, so the digit is 4 and the carry is 0. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. We have 5 + 5 + 0 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is A4. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. Answer:\box{A4}
Question: In base-11, what is 98+79? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 8 + 9 = 17 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. We have 9 + 7 + 1 = 17 in base 10. In mathematics, seventeen is a prime number, which can only be divided by 1 and itself. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 166. The standard guitar has six strings. Answer:\box{166}
Question: In base-11, what is 4A+A1? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have A + 1 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. We have 4 + A + 1 = 15 in base 10. Fifteen is the atomic number of phosphorus in chemistry, an essential element for life as part of DNA and RNA. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 140. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. Answer:\box{140} | 14 | 6 | fixed |
In base-11, what is 68+90? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 148 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 41+75? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 1 + 5 = 6 in base-10. Six is the first perfect number in mathematics, where a perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 6 mod 11 = 6, so the digit is 6 and the carry is 0. Six is the atomic number of carbon in chemistry, a key element for life as we know it. We have 4 + 7 + 0 = 11 in base 10. In sports, cricket teams traditionally consist of 11 players on each side. 11 mod 11 = 0, so the digit is 0 and the carry is 1. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 106. Answer:\box{106}
Question: In base-11, what is 11+92? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 1 + 2 = 3 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 3 mod 11 = 3, so the digit is 3 and the carry is 0. Physics recognises three laws of motion, first compiled by Isaac Newton. We have 1 + 9 + 0 = 10 in base 10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is A3. In astronomy, Earth is the third planet from the Sun in our Solar System. Answer:\box{A3}
Question: In base-11, what is 4A+4A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have A + A = 20 in base-10. Humans normally have 20 deciduous (primary or "baby") teeth that start to appear at about six months of age. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 20 mod 11 = 9, so the digit is 9 and the carry is 1. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. We have 4 + 4 + 1 = 9 in base 10. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In mythology and religion, there are nine realms in Norse Cosmology. A leading digit is 0. So the answer is 99. Answer:\box{99}
Question: In base-11, what is 8A+64? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have A + 4 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. We have 8 + 6 + 1 = 15 in base 10. Fifteen is the atomic number of phosphorus in chemistry, an essential element in all forms of life. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 143. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. Answer:\box{143}
Question: In base-11, what is 6A+24? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 4 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Physics recognises three laws of motion, first compiled by Isaac Newton. We have 6 + 2 + 1 = 9 in base 10. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. 9 mod 11 = 9, so the digit is 9 and the carry is 0. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is 93. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. Answer:\box{93}
Question: In base-11, what is 91+93? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + 3 = 4 in base-10. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 4 mod 11 = 4, so the digit is 4 and the carry is 0. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. We have 9 + 9 + 0 = 18 in base 10. In the Jewish tradition, the number 18 symbolizes 'chai', which means 'life' in Hebrew. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 174. Answer:\box{174}
Question: In base-11, what is A6+13? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 6 + 3 = 9 in base-10. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 9 mod 11 = 9, so the digit is 9 and the carry is 0. The gestation period of a human pregnancy is typically nine months. We have A + 1 + 0 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 109. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. Answer:\box{109}
Question: In base-11, what is A4+82? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 4 + 2 = 6 in base-10. The standard guitar has six strings. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. In astronomy, Saturn is the sixth planet from the Sun in our solar system. We have A + 8 + 0 = 18 in base 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 176. Answer:\box{176}
Question: In base-11, what is 30+A0? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 0 + 0 = 0 in base-10. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 0 mod 11 = 0, so the digit is 0 and the carry is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. We have 3 + A + 0 = 13 in base 10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. So the answer is 120. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. Answer:\box{120}
Question: In base-11, what is 85+78? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 5 + 8 = 13 in base-10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. We have 8 + 7 + 1 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In mathematics, five is the third prime number, after two and three. A leading digit is 1. So the answer is 152. Two is the base of the binary code, used extensively in computer science. Answer:\box{152} | 14 | 6 | fixed |
In base-11, what is 37+1A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 56 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 33+A4? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 4 = 7 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 7 mod 11 = 7, so the digit is 7 and the carry is 0. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. We have 3 + A + 0 = 13 in base 10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 127. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. Answer:\box{127}
Question: In base-11, what is 86+63? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 3 = 9 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. We have 8 + 6 + 0 = 14 in base 10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Physics recognises three laws of motion, first compiled by Isaac Newton. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 139. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. Answer:\box{139}
Question: In base-11, what is 8A+29? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have A + 9 = 19 in base-10. In human biology, the human adult skull is made up of 19 bones when the mandible (a separate bone) is included. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In computer science, a byte is typically made up of 8 bits. We have 8 + 2 + 1 = 11 in base 10. In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 108. Answer:\box{108}
Question: In base-11, what is 36+84? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 6 + 4 = 10 in base-10. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. We have 3 + 8 + 0 = 11 in base 10. In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 10A. Answer:\box{10A}
Question: In base-11, what is A1+16? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 1 + 6 = 7 in base-10. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 7 mod 11 = 7, so the digit is 7 and the carry is 0. We have A + 1 + 0 = 11 in base 10. In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 107. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. Answer:\box{107}
Question: In base-11, what is 90+A9? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 0 + 9 = 9 in base-10. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 9 mod 11 = 9, so the digit is 9 and the carry is 0. The gestation period of a human pregnancy is typically nine months. We have 9 + A + 0 = 19 in base 10. A standard basketball game consists of four quarters, each lasting 19 minutes in many high school associations. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In mathematics, eight is a Fibonacci number and a cube number. A leading digit is 1. So the answer is 189. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. Answer:\box{189}
Question: In base-11, what is 52+99? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 2 + 9 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In chemistry, pH 0 on the pH scale represents extreme acidity. We have 5 + 9 + 1 = 15 in base 10. There are 15 facial bones in the human skull (not including the mandible, or lower jaw bone). 15 mod 11 = 4, so the digit is 4 and the carry is 1. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 140. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. Answer:\box{140}
Question: In base-11, what is 97+A4? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 7 + 4 = 11 in base-10. In computer science, '11' is the binary representation of the decimal number 3. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. We have 9 + A + 1 = 20 in base 10. Twenty is the atomic number of calcium in chemistry, an essential element for human life, crucial for bone health. 20 mod 11 = 9, so the digit is 9 and the carry is 1. A leading digit is 1. So the answer is 190. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). Answer:\box{190}
Question: In base-11, what is 23+57? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 3 + 7 = 10 in base-10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. We have 2 + 5 + 0 = 7 in base 10. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. 7 mod 11 = 7, so the digit is 7 and the carry is 0. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. A leading digit is 0. So the answer is 7A. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Answer:\box{7A}
Question: In base-11, what is A6+24? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 4 = 10 in base-10. The number 10 is symbolic in many cultures, often representing perfection or completeness. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. We have A + 2 + 0 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 11A. The decimal system, which is the most commonly used number system in the world, has a base of 10. Answer:\box{11A} | 14 | 6 | fixed |
In base-11, what is 55+35? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 8A | Math-11 | Irrelevant | Hard | Question: In base-11, what is 88+23? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 8 + 3 = 11 in base-10. In sports, cricket teams traditionally consist of 11 players on each side. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In chemistry, pH 0 on the pH scale represents extreme acidity. We have 8 + 2 + 1 = 11 in base 10. In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. 11 mod 11 = 0, so the digit is 0 and the carry is 1. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. A leading digit is 1. So the answer is 100. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). Answer:\box{100}
Question: In base-11, what is 67+26? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 7 + 6 = 13 in base-10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. Since we're in base-11, that exceeds the maximum value of A for a single digit. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. We have 6 + 2 + 1 = 9 in base 10. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. 9 mod 11 = 9, so the digit is 9 and the carry is 0. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is 92. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. Answer:\box{92}
Question: In base-11, what is 76+35? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 5 = 11 in base-10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). We have 7 + 3 + 1 = 11 in base 10. In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. 11 mod 11 = 0, so the digit is 0 and the carry is 1. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 100. Answer:\box{100}
Question: In base-11, what is 47+2A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 7 + A = 17 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Six is the atomic number of carbon in chemistry, a key element for life as we know it. We have 4 + 2 + 1 = 7 in base 10. In biology, a rainbow is seen in seven colors due to the refraction of light. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 76. Answer:\box{76}
Question: In base-11, what is 36+98? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 6 + 8 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. We have 3 + 9 + 1 = 13 in base 10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Two is the base of the binary code, used extensively in computer science. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 123. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. Answer:\box{123}
Question: In base-11, what is 49+12? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 2 = 11 in base-10. In computer science, '11' is the binary representation of the decimal number 3. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. We have 4 + 1 + 1 = 6 in base 10. In geometry, a hexagon is a six-sided polygon. 6 mod 11 = 6, so the digit is 6 and the carry is 0. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is 60. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. Answer:\box{60}
Question: In base-11, what is 64+91? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 4 + 1 = 5 in base-10. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 5 mod 11 = 5, so the digit is 5 and the carry is 0. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. We have 6 + 9 + 0 = 15 in base 10. In computer science, a 15-puzzle is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 145. Answer:\box{145}
Question: In base-11, what is 25+95? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 5 + 5 = 10 in base-10. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. We have 2 + 9 + 0 = 11 in base 10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. A leading digit is 1. So the answer is 10A. Answer:\box{10A}
Question: In base-11, what is 80+42? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 0 + 2 = 2 in base-10. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 2 mod 11 = 2, so the digit is 2 and the carry is 0. Humans have two sets of each of their chromosomes, making us diploid organisms. We have 8 + 4 + 0 = 12 in base 10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. A leading digit is 1. So the answer is 112. In mathematics, an area is a two-dimensional size of a defined part of a surface. Answer:\box{112}
Question: In base-11, what is 9A+37? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have A + 7 = 17 in base-10. Seventeen is the atomic number of chlorine in chemistry, a halogen that's widely used in disinfectants. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 17 mod 11 = 6, so the digit is 6 and the carry is 1. We have 9 + 3 + 1 = 13 in base 10. A baker's dozen traditionally consists of 13 items, one more than the standard dozen. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 126. Six is the atomic number of carbon in chemistry, a key element for life as we know it. Answer:\box{126} | 14 | 6 | fixed |
In base-11, what is 29+96? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 114 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 84+31? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 4 + 1 = 5 in base-10. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 5 mod 11 = 5, so the digit is 5 and the carry is 0. We have 8 + 3 + 0 = 11 in base 10. In computer science, '11' is the binary representation of the decimal number 3. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 105. Humans have five basic senses: sight, hearing, smell, taste, and touch. Answer:\box{105}
Question: In base-11, what is 77+54? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 4 = 11 in base-10. In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. We have 7 + 5 + 1 = 13 in base 10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Humans have two sets of each of their chromosomes, making us diploid organisms. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 120. Answer:\box{120}
Question: In base-11, what is 49+29? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 9 = 18 in base-10. In physics, there are 18 families of elementary particles in the Standard Model. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 18 mod 11 = 7, so the digit is 7 and the carry is 1. We have 4 + 2 + 1 = 7 in base 10. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 77. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. Answer:\box{77}
Question: In base-11, what is 79+A9? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 9 + 9 = 18 in base-10. Humans have 18 muscles in each hand, which control fine motor movements. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 18 mod 11 = 7, so the digit is 7 and the carry is 1. We have 7 + A + 1 = 18 in base 10. In physics, there are 18 families of elementary particles in the Standard Model. 18 mod 11 = 7, so the digit is 7 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 177. In biology, a rainbow is seen in seven colors due to the refraction of light. Answer:\box{177}
Question: In base-11, what is A9+40? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 9 + 0 = 9 in base-10. In mythology and religion, there are nine realms in Norse Cosmology. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 9 mod 11 = 9, so the digit is 9 and the carry is 0. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. We have A + 4 + 0 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Physics recognises three laws of motion, first compiled by Isaac Newton. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 139. Answer:\box{139}
Question: In base-11, what is 62+A1? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 2 + 1 = 3 in base-10. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 3 mod 11 = 3, so the digit is 3 and the carry is 0. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). We have 6 + A + 0 = 16 in base 10. In computer science, a 'nibble' is a four-bit aggregation, or half an octet, and two nibbles make up a byte, which is 16 bits. 16 mod 11 = 5, so the digit is 5 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 153. In colors, there are three primary colors: red, yellow, and blue. Answer:\box{153}
Question: In base-11, what is 8A+A7? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have A + 7 = 17 in base-10. In computer science, the Windows 17 operating system is a fictitious version, as Microsoft has not released such a version. Since we're in base-11, that exceeds the maximum value of A for a single digit. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In astronomy, Saturn is the sixth planet from the Sun in our solar system. We have 8 + A + 1 = 19 in base 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. Spiders, part of the arachnid family in biology, typically have eight legs. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 186. Six is the atomic number of carbon in chemistry, a key element for life as we know it. Answer:\box{186}
Question: In base-11, what is 52+49? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 2 + 9 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 5 + 4 + 1 = 10 in base 10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is A0. In chemistry, pH 0 on the pH scale represents extreme acidity. Answer:\box{A0}
Question: In base-11, what is 98+14? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 8 + 4 = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. We have 9 + 1 + 1 = 11 in base 10. In sports, cricket teams traditionally consist of 11 players on each side. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 101. Answer:\box{101}
Question: In base-11, what is 22+88? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 2 + 8 = 10 in base-10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 10 mod 11 = A, so the digit is A and the carry is 0. We have 2 + 8 + 0 = 10 in base 10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is AA. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Answer:\box{AA} | 14 | 6 | fixed |
In base-11, what is 24+A1? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 115 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 21+95? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 1 + 5 = 6 in base-10. Six is the first perfect number in mathematics, where a perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 6 mod 11 = 6, so the digit is 6 and the carry is 0. Six is the atomic number of carbon in chemistry, a key element for life as we know it. We have 2 + 9 + 0 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In chemistry, pH 0 on the pH scale represents extreme acidity. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 106. Answer:\box{106}
Question: In base-11, what is 59+6A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + A = 19 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In physics, eight is the number of vertices of a cube. We have 5 + 6 + 1 = 12 in base 10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 118. Spiders, part of the arachnid family in biology, typically have eight legs. Answer:\box{118}
Question: In base-11, what is 68+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 8 + 7 = 15 in base-10. In physics, 15 is the number of known types of spin-ice configurations in a geometrically frustrated magne. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. We have 6 + 8 + 1 = 15 in base 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 144. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. Answer:\box{144}
Question: In base-11, what is 64+5A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 4 + A = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 14 mod 11 = 3, so the digit is 3 and the carry is 1. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). We have 6 + 5 + 1 = 12 in base 10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 113. Answer:\box{113}
Question: In base-11, what is 95+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 5 + 7 = 12 in base-10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. We have 9 + 8 + 1 = 18 in base 10. In golf, a standard round consists of 18 holes. 18 mod 11 = 7, so the digit is 7 and the carry is 1. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 171. In biology, humans have one heart, which pumps blood throughout the body. Answer:\box{171}
Question: In base-11, what is A7+95? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 5 = 12 in base-10. The 12 Zodiac signs represent different personality traits and are used in astrology. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. We have A + 9 + 1 = 20 in base 10. Twenty is the atomic number of calcium in chemistry, an essential element for human life, crucial for bone health. 20 mod 11 = 9, so the digit is 9 and the carry is 1. The gestation period of a human pregnancy is typically nine months. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 191. One often represents the 'on' state in binary code, which underlies digital computing. Answer:\box{191}
Question: In base-11, what is 54+2A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 4 + A = 14 in base-10. Fourteen is the atomic number of silicon in chemistry, a key element used in semiconductors and various electronics. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Physics recognises three laws of motion, first compiled by Isaac Newton. We have 5 + 2 + 1 = 8 in base 10. In mathematics, eight is a Fibonacci number and a cube number. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, eight is the number of vertices of a cube. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is 83. Answer:\box{83}
Question: In base-11, what is 26+1A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 6 + A = 16 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. We have 2 + 1 + 1 = 4 in base 10. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. 4 mod 11 = 4, so the digit is 4 and the carry is 0. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 45. In geometry, a pentagon is a five-sided polygon. Answer:\box{45}
Question: In base-11, what is 78+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 8 + 7 = 15 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In geometry, a square has four equal sides and four right angles. We have 7 + 8 + 1 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In geometry, a pentagon is a five-sided polygon. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 154. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. Answer:\box{154}
Question: In base-11, what is 83+30? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 3 + 0 = 3 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 3 mod 11 = 3, so the digit is 3 and the carry is 0. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. We have 8 + 3 + 0 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In chemistry, pH 0 on the pH scale represents extreme acidity. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 103. Physics recognises three laws of motion, first compiled by Isaac Newton. Answer:\box{103} | 14 | 6 | fixed |
In base-11, what is 91+A2? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 183 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 50+53? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 0 + 3 = 3 in base-10. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 3 mod 11 = 3, so the digit is 3 and the carry is 0. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. We have 5 + 5 + 0 = 10 in base 10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. A leading digit is 0. So the answer is A3. Physics recognises three laws of motion, first compiled by Isaac Newton. Answer:\box{A3}
Question: In base-11, what is 9A+79? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have A + 9 = 19 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. We have 9 + 7 + 1 = 17 in base 10. In human biology, the kidneys filter about 17 liters of blood every hour. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Six is the atomic number of carbon in chemistry, a key element for life as we know it. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 168. In physics, eight is the number of vertices of a cube. Answer:\box{168}
Question: In base-11, what is 32+97? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 2 + 7 = 9 in base-10. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. We have 3 + 9 + 0 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 119. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. Answer:\box{119}
Question: In base-11, what is A2+78? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 2 + 8 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. The decimal system, which is the most commonly used number system in the world, has a base of 10. We have A + 7 + 0 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. The standard guitar has six strings. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 16A. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Answer:\box{16A}
Question: In base-11, what is 56+88? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 8 = 14 in base-10. Fourteen is the atomic number of silicon in chemistry, a key element used in semiconductors and various electronics. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. We have 5 + 8 + 1 = 14 in base 10. In classical music, Ludwig van Beethoven's 'Moonlight Sonata' is Piano Sonata No 14 and is one of his most famous compositions. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 133. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). Answer:\box{133}
Question: In base-11, what is 80+95? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 0 + 5 = 5 in base-10. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 5 mod 11 = 5, so the digit is 5 and the carry is 0. In mathematics, five is the third prime number, after two and three. We have 8 + 9 + 0 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In geometry, a hexagon is a six-sided polygon. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 165. Answer:\box{165}
Question: In base-11, what is 37+90? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 7 + 0 = 7 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 7 mod 11 = 7, so the digit is 7 and the carry is 0. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. We have 3 + 9 + 0 = 12 in base 10. In computer science, '12' is represented as '1100' in binary notation. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 117. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. Answer:\box{117}
Question: In base-11, what is 9A+A7? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have A + 7 = 17 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Six is the atomic number of carbon in chemistry, a key element for life as we know it. We have 9 + A + 1 = 20 in base 10. In computer science, the number 20 is often used in benchmarks and tests due to its convenient divisibility. 20 mod 11 = 9, so the digit is 9 and the carry is 1. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. A leading digit is 1. So the answer is 196. According to the Standard Model of physics, there are six types of quarks, the fundamental constituents of matter. Answer:\box{196}
Question: In base-11, what is 7A+32? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have A + 2 = 12 in base-10. The 12 Zodiac signs represent different personality traits and are used in astrology. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. We have 7 + 3 + 1 = 11 in base 10. In computer science, '11' is the binary representation of the decimal number 3. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 101. Answer:\box{101}
Question: In base-11, what is 34+99? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 4 + 9 = 13 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Two is the base of the binary code, used extensively in computer science. We have 3 + 9 + 1 = 13 in base 10. A baker's dozen traditionally consists of 13 items, one more than the standard dozen. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, an area is a two-dimensional size of a defined part of a surface. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 122. Answer:\box{122} | 14 | 6 | fixed |
In base-11, what is 80+93? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 163 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 64+74? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 4 + 4 = 8 in base-10. Eight is the atomic number of oxygen in chemistry, an element essential for human life. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. We have 6 + 7 + 0 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In human anatomy, the body is largely symmetrical with two halves. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 128. In physics, eight is the number of vertices of a cube. Answer:\box{128}
Question: In base-11, what is 89+52? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 9 + 2 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. We have 8 + 5 + 1 = 14 in base 10. In classical music, Ludwig van Beethoven's 'Moonlight Sonata' is Piano Sonata No 14 and is one of his most famous compositions. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 130. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. Answer:\box{130}
Question: In base-11, what is 82+72? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 2 + 2 = 4 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 4 mod 11 = 4, so the digit is 4 and the carry is 0. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. We have 8 + 7 + 0 = 15 in base 10. Fifteen is the atomic number of phosphorus in chemistry, an essential element for life as part of DNA and RNA. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 144. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. Answer:\box{144}
Question: In base-11, what is 69+A8? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 9 + 8 = 17 in base-10. In human biology, the kidneys filter about 17 liters of blood every hour. Since we're in base-11, that exceeds the maximum value of A for a single digit. 17 mod 11 = 6, so the digit is 6 and the carry is 1. We have 6 + A + 1 = 17 in base 10. Seventeen is the atomic number of chlorine in chemistry, a halogen that's widely used in disinfectants. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 166. In geometry, a hexagon is a six-sided polygon. Answer:\box{166}
Question: In base-11, what is 71+45? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 1 + 5 = 6 in base-10. In geometry, a hexagon is a six-sided polygon. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 6 mod 11 = 6, so the digit is 6 and the carry is 0. Six is the atomic number of carbon in chemistry, a key element for life as we know it. We have 7 + 4 + 0 = 11 in base 10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 106. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. Answer:\box{106}
Question: In base-11, what is 86+33? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 6 + 3 = 9 in base-10. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In mythology and religion, there are nine realms in Norse Cosmology. We have 8 + 3 + 0 = 11 in base 10. In sports, cricket teams traditionally consist of 11 players on each side. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 109. Answer:\box{109}
Question: In base-11, what is 42+68? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 2 + 8 = 10 in base-10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. The decimal system, which is the most commonly used number system in the world, has a base of 10. We have 4 + 6 + 0 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is AA. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. Answer:\box{AA}
Question: In base-11, what is 85+85? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 5 + 5 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. We have 8 + 8 + 0 = 16 in base 10. There are 16 ounces in a pound in the avoirdupois system of measurement. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In geometry, a pentagon is a five-sided polygon. A leading digit is 1. So the answer is 15A. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Answer:\box{15A}
Question: In base-11, what is 89+30? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 9 + 0 = 9 in base-10. The gestation period of a human pregnancy is typically nine months. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. We have 8 + 3 + 0 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 109. In mythology and religion, there are nine realms in Norse Cosmology. Answer:\box{109}
Question: In base-11, what is 43+A8? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 8 = 11 in base-10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. We have 4 + A + 1 = 15 in base 10. There are 15 facial bones in the human skull (not including the mandible, or lower jaw bone). 15 mod 11 = 4, so the digit is 4 and the carry is 1. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. A leading digit is 1. So the answer is 140. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. Answer:\box{140} | 14 | 6 | fixed |
In base-11, what is 61+93? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 144 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 86+56? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 6 + 6 = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. We have 8 + 5 + 1 = 14 in base 10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. A leading digit is 1. So the answer is 131. In physics, the number one is the charge of a single unit of positive or negative electricity. Answer:\box{131}
Question: In base-11, what is A7+A3? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 3 = 10 in base-10. The decimal system, which is the most commonly used number system in the world, has a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. We have A + A + 0 = 20 in base 10. In mathematics, twenty is the basis of vigesimal number systems and is used in scoring many traditional games. 20 mod 11 = 9, so the digit is 9 and the carry is 1. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 19A. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Answer:\box{19A}
Question: In base-11, what is 37+A4? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 7 + 4 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 3 + A + 1 = 14 in base 10. Humans have 14 phalangeal bones in each hand and foot, which make up the fingers and toes. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 130. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. Answer:\box{130}
Question: In base-11, what is 76+53? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 3 = 9 in base-10. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 9 mod 11 = 9, so the digit is 9 and the carry is 0. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. We have 7 + 5 + 0 = 12 in base 10. The 12 Zodiac signs represent different personality traits and are used in astrology. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 119. Answer:\box{119}
Question: In base-11, what is 62+68? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 2 + 8 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. We have 6 + 6 + 0 = 12 in base 10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 11A. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Answer:\box{11A}
Question: In base-11, what is 26+68? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 6 + 8 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. We have 2 + 6 + 1 = 9 in base 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 93. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. Answer:\box{93}
Question: In base-11, what is 37+18? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 7 + 8 = 15 in base-10. In computer science, a 15-puzzle is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In geometry, a square has four equal sides and four right angles. We have 3 + 1 + 1 = 5 in base 10. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. 5 mod 11 = 5, so the digit is 5 and the carry is 0. A leading digit is 0. So the answer is 54. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. Answer:\box{54}
Question: In base-11, what is 47+35? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 5 = 12 in base-10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. We have 4 + 3 + 1 = 8 in base 10. In music, an octave consists of eight notes in the Western musical scale. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, eight is the number of vertices of a cube. A leading digit is 0. So the answer is 81. In physics, the number one is the charge of a single unit of positive or negative electricity. Answer:\box{81}
Question: In base-11, what is A0+98? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 0 + 8 = 8 in base-10. In physics, eight is the number of vertices of a cube. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 8 mod 11 = 8, so the digit is 8 and the carry is 0. We have A + 9 + 0 = 19 in base 10. In human biology, the first 19 elements of the periodic table are all found in the human body. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In music, an octave consists of eight notes in the Western musical scale. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 188. Answer:\box{188}
Question: In base-11, what is A6+1A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 6 + A = 16 in base-10. There are 16 ounces in a pound in the avoirdupois system of measurement. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 16 mod 11 = 5, so the digit is 5 and the carry is 1. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. We have A + 1 + 1 = 12 in base 10. Twelve is the atomic number of magnesium in chemistry, a crucial element for life known to be a cofactor in over 300 enzymatic reactions. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. A leading digit is 1. So the answer is 115. Answer:\box{115} | 14 | 6 | fixed |
In base-11, what is 3A+46? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 85 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 22+48? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 2 + 8 = 10 in base-10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. We have 2 + 4 + 0 = 6 in base 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 6A. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. Answer:\box{6A}
Question: In base-11, what is 42+84? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 2 + 4 = 6 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 6 mod 11 = 6, so the digit is 6 and the carry is 0. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. We have 4 + 8 + 0 = 12 in base 10. Twelve is the atomic number of magnesium in chemistry, a crucial element for life known to be a cofactor in over 300 enzymatic reactions. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 116. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. Answer:\box{116}
Question: In base-11, what is 5A+14? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have A + 4 = 14 in base-10. In mathematics, fourteen is the number of days in a fortnight. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 14 mod 11 = 3, so the digit is 3 and the carry is 1. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). We have 5 + 1 + 1 = 7 in base 10. 7 mod 11 = 7, so the digit is 7 and the carry is 0. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 73. In astronomy, Earth is the third planet from the Sun in our Solar System. Answer:\box{73}
Question: In base-11, what is 67+78? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 7 + 8 = 15 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. We have 6 + 7 + 1 = 14 in base 10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 134. Answer:\box{134}
Question: In base-11, what is 65+59? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 5 + 9 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. We have 6 + 5 + 1 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 113. In astronomy, Earth is the third planet from the Sun in our Solar System. Answer:\box{113}
Question: In base-11, what is 59+70? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 0 = 9 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. We have 5 + 7 + 0 = 12 in base 10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 119. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. Answer:\box{119}
Question: In base-11, what is 57+94? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 7 + 4 = 11 in base-10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 5 + 9 + 1 = 15 in base 10. There are 15 facial bones in the human skull (not including the mandible, or lower jaw bone). 15 mod 11 = 4, so the digit is 4 and the carry is 1. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 140. Answer:\box{140}
Question: In base-11, what is 14+79? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 4 + 9 = 13 in base-10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 1 + 7 + 1 = 9 in base 10. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. 9 mod 11 = 9, so the digit is 9 and the carry is 0. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 92. In human anatomy, the body is largely symmetrical with two halves. Answer:\box{92}
Question: In base-11, what is 69+89? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 9 = 18 in base-10. In computer science, the UTF-18 character set is a proposed extension of the Unicode standard to include a wider range of characters. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. We have 6 + 8 + 1 = 15 in base 10. In mathematics, a group of 15 is known as a pentadecagon, which is a polygon with 15 sides and 15 angles. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 147. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. Answer:\box{147}
Question: In base-11, what is 20+88? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 0 + 8 = 8 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. We have 2 + 8 + 0 = 10 in base 10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is A8. In physics, eight is the number of vertices of a cube. Answer:\box{A8} | 14 | 6 | fixed |
In base-11, what is 49+85? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 123 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 26+44? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 6 + 4 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. We have 2 + 4 + 0 = 6 in base 10. In geometry, a hexagon is a six-sided polygon. 6 mod 11 = 6, so the digit is 6 and the carry is 0. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 6A. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. Answer:\box{6A}
Question: In base-11, what is 65+60? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 5 + 0 = 5 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 5 mod 11 = 5, so the digit is 5 and the carry is 0. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. We have 6 + 6 + 0 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 115. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. Answer:\box{115}
Question: In base-11, what is 53+78? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 8 = 11 in base-10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. Since we're in base-11, that exceeds the maximum value of A for a single digit. 11 mod 11 = 0, so the digit is 0 and the carry is 1. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. We have 5 + 7 + 1 = 13 in base 10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In human anatomy, the body is largely symmetrical with two halves. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 120. In chemistry, pH 0 on the pH scale represents extreme acidity. Answer:\box{120}
Question: In base-11, what is A2+1A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + A = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. We have A + 1 + 1 = 12 in base 10. Humans typically have 12 pairs of ribs in their skeletal structure. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 111. In biology, humans have one heart, which pumps blood throughout the body. Answer:\box{111}
Question: In base-11, what is 2A+45? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 5 = 15 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. We have 2 + 4 + 1 = 7 in base 10. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. 7 mod 11 = 7, so the digit is 7 and the carry is 0. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is 74. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. Answer:\box{74}
Question: In base-11, what is 56+A3? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 6 + 3 = 9 in base-10. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. We have 5 + A + 0 = 15 in base 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 149. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. Answer:\box{149}
Question: In base-11, what is 78+94? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 8 + 4 = 12 in base-10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. We have 7 + 9 + 1 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 161. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. Answer:\box{161}
Question: In base-11, what is A4+76? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 4 + 6 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. We have A + 7 + 0 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Six is the first perfect number in mathematics, where a perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 16A. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Answer:\box{16A}
Question: In base-11, what is 3A+68? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 8 = 18 in base-10. Humans have 18 muscles in each hand, which control fine motor movements. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. We have 3 + 6 + 1 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. The decimal system, which is the most commonly used number system in the world, has a base of 10. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is A7. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. Answer:\box{A7}
Question: In base-11, what is 61+90? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + 0 = 1 in base-10. One often represents the 'on' state in binary code, which underlies digital computing. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 1 mod 11 = 1, so the digit is 1 and the carry is 0. In mathematics, one is the first counting number and the starting point of the natural numbers. We have 6 + 9 + 0 = 15 in base 10. In physics, 15 is the number of known types of spin-ice configurations in a geometrically frustrated magne. 15 mod 11 = 4, so the digit is 4 and the carry is 1. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 141. Answer:\box{141} | 14 | 6 | fixed |
In base-11, what is 34+68? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | A1 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 96+52? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 6 + 2 = 8 in base-10. Spiders, part of the arachnid family in biology, typically have eight legs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. We have 9 + 5 + 0 = 14 in base 10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. A leading digit is 1. So the answer is 138. In music, an octave consists of eight notes in the Western musical scale. Answer:\box{138}
Question: In base-11, what is 4A+A4? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have A + 4 = 14 in base-10. In classical music, Ludwig van Beethoven's 'Moonlight Sonata' is Piano Sonata No 14 and is one of his most famous compositions. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Physics recognises three laws of motion, first compiled by Isaac Newton. We have 4 + A + 1 = 15 in base 10. In computer science, a 15-puzzle is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 143. Answer:\box{143}
Question: In base-11, what is 44+71? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 4 + 1 = 5 in base-10. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 5 mod 11 = 5, so the digit is 5 and the carry is 0. We have 4 + 7 + 0 = 11 in base 10. In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 105. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. Answer:\box{105}
Question: In base-11, what is 23+82? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 2 = 5 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 5 mod 11 = 5, so the digit is 5 and the carry is 0. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. We have 2 + 8 + 0 = 10 in base 10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is A5. In mathematics, five is the third prime number, after two and three. Answer:\box{A5}
Question: In base-11, what is 74+A1? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 4 + 1 = 5 in base-10. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 5 mod 11 = 5, so the digit is 5 and the carry is 0. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. We have 7 + A + 0 = 17 in base 10. Seventeen is the atomic number of chlorine in chemistry, a halogen that's widely used in disinfectants. 17 mod 11 = 6, so the digit is 6 and the carry is 1. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 165. Answer:\box{165}
Question: In base-11, what is 44+2A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 4 + A = 14 in base-10. Fourteen is the atomic number of silicon in chemistry, a key element used in semiconductors and various electronics. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. We have 4 + 2 + 1 = 7 in base 10. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. 7 mod 11 = 7, so the digit is 7 and the carry is 0. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 73. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). Answer:\box{73}
Question: In base-11, what is 23+19? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 3 + 9 = 12 in base-10. In computer science, '12' is represented as '1100' in binary notation. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. We have 2 + 1 + 1 = 4 in base 10. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. 4 mod 11 = 4, so the digit is 4 and the carry is 0. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 41. In mathematics, one is the first counting number and the starting point of the natural numbers. Answer:\box{41}
Question: In base-11, what is 23+99? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 3 + 9 = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. We have 2 + 9 + 1 = 12 in base 10. The 12 Zodiac signs represent different personality traits and are used in astrology. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 111. Answer:\box{111}
Question: In base-11, what is A7+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 7 = 14 in base-10. Fourteen is the atomic number of silicon in chemistry, a key element used in semiconductors and various electronics. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. We have A + 8 + 1 = 19 in base 10. In mathematics, nineteen is a prime number, the 8th prime number in the series. 19 mod 11 = 8, so the digit is 8 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 183. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. Answer:\box{183}
Question: In base-11, what is 69+16? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 9 + 6 = 15 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. We have 6 + 1 + 1 = 8 in base 10. Eight is the atomic number of oxygen in chemistry, an element essential for human life. 8 mod 11 = 8, so the digit is 8 and the carry is 0. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 84. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. Answer:\box{84} | 14 | 6 | fixed |
In base-11, what is 43+85? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 118 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 34+78? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 4 + 8 = 12 in base-10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. We have 3 + 7 + 1 = 11 in base 10. In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 101. Answer:\box{101}
Question: In base-11, what is 91+35? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + 5 = 6 in base-10. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 6 mod 11 = 6, so the digit is 6 and the carry is 0. According to the Standard Model of physics, there are six types of quarks, the fundamental constituents of matter. We have 9 + 3 + 0 = 12 in base 10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. A leading digit is 1. So the answer is 116. The standard guitar has six strings. Answer:\box{116}
Question: In base-11, what is 59+42? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 9 + 2 = 11 in base-10. In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 5 + 4 + 1 = 10 in base 10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is A0. Answer:\box{A0}
Question: In base-11, what is 28+16? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 8 + 6 = 14 in base-10. In classical music, Ludwig van Beethoven's 'Moonlight Sonata' is Piano Sonata No 14 and is one of his most famous compositions. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 14 mod 11 = 3, so the digit is 3 and the carry is 1. We have 2 + 1 + 1 = 4 in base 10. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. 4 mod 11 = 4, so the digit is 4 and the carry is 0. In geometry, a square has four equal sides and four right angles. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 43. Physics recognises three laws of motion, first compiled by Isaac Newton. Answer:\box{43}
Question: In base-11, what is 64+52? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 4 + 2 = 6 in base-10. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 6 mod 11 = 6, so the digit is 6 and the carry is 0. In astronomy, Saturn is the sixth planet from the Sun in our solar system. We have 6 + 5 + 0 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 106. Six is the atomic number of carbon in chemistry, a key element for life as we know it. Answer:\box{106}
Question: In base-11, what is 69+47? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 9 + 7 = 16 in base-10. Sixteen is the atomic number of sulfur in chemistry, an essential element for life found in two amino acids and two vitamins. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. We have 6 + 4 + 1 = 11 in base 10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. 11 mod 11 = 0, so the digit is 0 and the carry is 1. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. A leading digit is 1. So the answer is 105. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. Answer:\box{105}
Question: In base-11, what is 56+50? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 6 + 0 = 6 in base-10. Six is the atomic number of carbon in chemistry, a key element for life as we know it. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 6 mod 11 = 6, so the digit is 6 and the carry is 0. We have 5 + 5 + 0 = 10 in base 10. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is A6. Answer:\box{A6}
Question: In base-11, what is 97+A3? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 7 + 3 = 10 in base-10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. We have 9 + A + 0 = 19 in base 10. In human biology, the first 19 elements of the periodic table are all found in the human body. 19 mod 11 = 8, so the digit is 8 and the carry is 1. A leading digit is 1. So the answer is 18A. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. Answer:\box{18A}
Question: In base-11, what is 91+A5? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 1 + 5 = 6 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 6 mod 11 = 6, so the digit is 6 and the carry is 0. Six is the atomic number of carbon in chemistry, a key element for life as we know it. We have 9 + A + 0 = 19 in base 10. In physics, the nineteenth century marked the discovery of thermodynamics, leading to the development of the steam engine and the industrial revolution. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 186. Answer:\box{186}
Question: In base-11, what is 93+15? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 3 + 5 = 8 in base-10. Eight is the atomic number of oxygen in chemistry, an element essential for human life. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In computer science, a byte is typically made up of 8 bits. We have 9 + 1 + 0 = 10 in base 10. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is A8. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. Answer:\box{A8} | 14 | 6 | fixed |
In base-11, what is 34+9A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 123 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 45+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 5 + 7 = 12 in base-10. Twelve is the atomic number of magnesium in chemistry, a crucial element for life known to be a cofactor in over 300 enzymatic reactions. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. We have 4 + 8 + 1 = 13 in base 10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 121. In physics, the number one is the charge of a single unit of positive or negative electricity. Answer:\box{121}
Question: In base-11, what is 83+5A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 3 + A = 13 in base-10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 8 + 5 + 1 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 132. In mathematics, an area is a two-dimensional size of a defined part of a surface. Answer:\box{132}
Question: In base-11, what is 42+70? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + 0 = 2 in base-10. Humans have two sets of each of their chromosomes, making us diploid organisms. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 2 mod 11 = 2, so the digit is 2 and the carry is 0. In mathematics, an area is a two-dimensional size of a defined part of a surface. We have 4 + 7 + 0 = 11 in base 10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 102. Answer:\box{102}
Question: In base-11, what is 86+55? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 6 + 5 = 11 in base-10. In sports, cricket teams traditionally consist of 11 players on each side. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. We have 8 + 5 + 1 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. A leading digit is 1. So the answer is 130. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. Answer:\box{130}
Question: In base-11, what is A7+53? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 3 = 10 in base-10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. We have A + 5 + 0 = 15 in base 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 14A. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Answer:\box{14A}
Question: In base-11, what is A1+94? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 1 + 4 = 5 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 5 mod 11 = 5, so the digit is 5 and the carry is 0. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. We have A + 9 + 0 = 19 in base 10. In mathematics, nineteen is a prime number, the 8th prime number in the series. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 185. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. Answer:\box{185}
Question: In base-11, what is 96+32? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 2 = 8 in base-10. In computer science, a byte is typically made up of 8 bits. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, eight is the number of vertices of a cube. We have 9 + 3 + 0 = 12 in base 10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 118. In mathematics, eight is a Fibonacci number and a cube number. Answer:\box{118}
Question: In base-11, what is A3+50? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 3 + 0 = 3 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 3 mod 11 = 3, so the digit is 3 and the carry is 0. In astronomy, Earth is the third planet from the Sun in our Solar System. We have A + 5 + 0 = 15 in base 10. Fifteen is the atomic number of phosphorus in chemistry, an essential element in all forms of life. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. A leading digit is 1. So the answer is 143. Physics recognises three laws of motion, first compiled by Isaac Newton. Answer:\box{143}
Question: In base-11, what is 82+29? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 2 + 9 = 11 in base-10. In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 8 + 2 + 1 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 100. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. Answer:\box{100}
Question: In base-11, what is A8+43? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 8 + 3 = 11 in base-10. In sports, cricket teams traditionally consist of 11 players on each side. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have A + 4 + 1 = 15 in base 10. Fifteen is the atomic number of phosphorus in chemistry, an essential element in all forms of life. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 140. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. Answer:\box{140} | 14 | 6 | fixed |
In base-11, what is 53+98? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 140 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 43+95? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 5 = 8 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In computer science, a byte is typically made up of 8 bits. We have 4 + 9 + 0 = 13 in base 10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 128. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. Answer:\box{128}
Question: In base-11, what is 88+82? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 8 + 2 = 10 in base-10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. The decimal system, which is the most commonly used number system in the world, has a base of 10. We have 8 + 8 + 0 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Humans have five basic senses: sight, hearing, smell, taste, and touch. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 15A. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Answer:\box{15A}
Question: In base-11, what is 68+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 8 + 7 = 15 in base-10. In physics, 15 is the number of known types of spin-ice configurations in a geometrically frustrated magne. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. We have 6 + 8 + 1 = 15 in base 10. In computer science, a 15-puzzle is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing. 15 mod 11 = 4, so the digit is 4 and the carry is 1. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 144. Answer:\box{144}
Question: In base-11, what is 95+3A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 5 + A = 15 in base-10. In binary, the decimal number 15 is represented as '1111', which is the maximum four-digit binary number. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. We have 9 + 3 + 1 = 13 in base 10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. A leading digit is 1. So the answer is 124. In geometry, a square has four equal sides and four right angles. Answer:\box{124}
Question: In base-11, what is 84+A3? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 4 + 3 = 7 in base-10. In biology, a rainbow is seen in seven colors due to the refraction of light. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 7 mod 11 = 7, so the digit is 7 and the carry is 0. We have 8 + A + 0 = 18 in base 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 177. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. Answer:\box{177}
Question: In base-11, what is 18+79? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 8 + 9 = 17 in base-10. In computer science, the '17 undecidable problems' is a list of computational problems proven to be unsolvable. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 17 mod 11 = 6, so the digit is 6 and the carry is 1. We have 1 + 7 + 1 = 9 in base 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is 96. Six is the atomic number of carbon in chemistry, a key element for life as we know it. Answer:\box{96}
Question: In base-11, what is A5+68? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 5 + 8 = 13 in base-10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. Since we're in base-11, that exceeds the maximum value of A for a single digit. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have A + 6 + 1 = 17 in base 10. In computer science, the Windows 17 operating system is a fictitious version, as Microsoft has not released such a version. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Six is the atomic number of carbon in chemistry, a key element for life as we know it. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 162. In mathematics, two is the smallest and first prime number. Answer:\box{162}
Question: In base-11, what is 97+78? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 7 + 8 = 15 in base-10. In mathematics, fifteen is a triangular number, meaning it can be arranged in a triangle with five items on a side. Since we're in base-11, that exceeds the maximum value of A for a single digit. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. We have 9 + 7 + 1 = 17 in base 10. In computer science, the Windows 17 operating system is a fictitious version, as Microsoft has not released such a version. 17 mod 11 = 6, so the digit is 6 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 164. In geometry, a square has four equal sides and four right angles. Answer:\box{164}
Question: In base-11, what is 56+89? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 6 + 9 = 15 in base-10. In physics, 15 is the number of known types of spin-ice configurations in a geometrically frustrated magne. Since we're in base-11, that exceeds the maximum value of A for a single digit. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. We have 5 + 8 + 1 = 14 in base 10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. A leading digit is 1. So the answer is 134. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. Answer:\box{134}
Question: In base-11, what is 17+47? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 7 = 14 in base-10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In colors, there are three primary colors: red, yellow, and blue. We have 1 + 4 + 1 = 6 in base 10. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. 6 mod 11 = 6, so the digit is 6 and the carry is 0. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 63. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. Answer:\box{63} | 14 | 6 | fixed |
In base-11, what is 67+26? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 92 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 97+90? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 7 + 0 = 7 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. We have 9 + 9 + 0 = 18 in base 10. Eighteen is the atomic number of argon in chemistry, a noble gas that is colorless, odorless, and used in lighting and lasers. 18 mod 11 = 7, so the digit is 7 and the carry is 1. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 177. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. Answer:\box{177}
Question: In base-11, what is AA+29? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have A + 9 = 19 in base-10. In computer science, the ISO-8859-19 standard is used for encoding Baltic languages, among others. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. We have A + 2 + 1 = 13 in base 10. A baker's dozen traditionally consists of 13 items, one more than the standard dozen. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. A leading digit is 1. So the answer is 128. Spiders, part of the arachnid family in biology, typically have eight legs. Answer:\box{128}
Question: In base-11, what is 43+A0? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 3 + 0 = 3 in base-10. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 3 mod 11 = 3, so the digit is 3 and the carry is 0. In colors, there are three primary colors: red, yellow, and blue. We have 4 + A + 0 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 133. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. Answer:\box{133}
Question: In base-11, what is 35+97? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 5 + 7 = 12 in base-10. Humans typically have 12 pairs of ribs in their skeletal structure. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. We have 3 + 9 + 1 = 13 in base 10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 121. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. Answer:\box{121}
Question: In base-11, what is 71+40? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 1 + 0 = 1 in base-10. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 1 mod 11 = 1, so the digit is 1 and the carry is 0. We have 7 + 4 + 0 = 11 in base 10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. 11 mod 11 = 0, so the digit is 0 and the carry is 1. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 101. Answer:\box{101}
Question: In base-11, what is 97+35? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 7 + 5 = 12 in base-10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. We have 9 + 3 + 1 = 13 in base 10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Two is the base of the binary code, used extensively in computer science. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 121. Answer:\box{121}
Question: In base-11, what is 54+A7? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 4 + 7 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 11 mod 11 = 0, so the digit is 0 and the carry is 1. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. We have 5 + A + 1 = 16 in base 10. In human biology, 16 is the number of chromosomes in the parasite that causes malaria (Plasmodium falciparum). 16 mod 11 = 5, so the digit is 5 and the carry is 1. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 150. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. Answer:\box{150}
Question: In base-11, what is 12+49? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 2 + 9 = 11 in base-10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 1 + 4 + 1 = 6 in base 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 60. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. Answer:\box{60}
Question: In base-11, what is 95+39? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 5 + 9 = 14 in base-10. Fourteen is the atomic number of silicon in chemistry, a key element used in semiconductors and various electronics. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 14 mod 11 = 3, so the digit is 3 and the carry is 1. We have 9 + 3 + 1 = 13 in base 10. In many Western cultures, the number 13 is considered unlucky and is sometimes omitted from floor numbering in buildings. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 123. Answer:\box{123}
Question: In base-11, what is 75+85? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 5 + 5 = 10 in base-10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. We have 7 + 8 + 0 = 15 in base 10. There are 15 facial bones in the human skull (not including the mandible, or lower jaw bone). 15 mod 11 = 4, so the digit is 4 and the carry is 1. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 14A. Answer:\box{14A} | 14 | 6 | fixed |
In base-11, what is 98+71? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 159 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 73+94? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 3 + 4 = 7 in base-10. In biology, a rainbow is seen in seven colors due to the refraction of light. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. We have 7 + 9 + 0 = 16 in base 10. In computer science, a 'nibble' is a four-bit aggregation, or half an octet, and two nibbles make up a byte, which is 16 bits. 16 mod 11 = 5, so the digit is 5 and the carry is 1. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 157. Answer:\box{157}
Question: In base-11, what is A1+49? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 1 + 9 = 10 in base-10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. We have A + 4 + 0 = 14 in base 10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 13A. Answer:\box{13A}
Question: In base-11, what is 69+60? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 9 + 0 = 9 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. We have 6 + 6 + 0 = 12 in base 10. In Greek mythology, the 12 labors of Hercules are a series of episodes concerning a penance carried out by Hercules. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. A leading digit is 1. So the answer is 119. The gestation period of a human pregnancy is typically nine months. Answer:\box{119}
Question: In base-11, what is 91+14? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 1 + 4 = 5 in base-10. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 5 mod 11 = 5, so the digit is 5 and the carry is 0. In geometry, a pentagon is a five-sided polygon. We have 9 + 1 + 0 = 10 in base 10. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is A5. Answer:\box{A5}
Question: In base-11, what is 30+84? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 0 + 4 = 4 in base-10. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 4 mod 11 = 4, so the digit is 4 and the carry is 0. We have 3 + 8 + 0 = 11 in base 10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. A leading digit is 1. So the answer is 104. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. Answer:\box{104}
Question: In base-11, what is 97+65? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 7 + 5 = 12 in base-10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. We have 9 + 6 + 1 = 16 in base 10. In computer science, a 'nibble' is a four-bit aggregation, or half an octet, and two nibbles make up a byte, which is 16 bits. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. A leading digit is 1. So the answer is 151. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. Answer:\box{151}
Question: In base-11, what is 61+52? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 1 + 2 = 3 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 3 mod 11 = 3, so the digit is 3 and the carry is 0. We have 6 + 5 + 0 = 11 in base 10. In sports, cricket teams traditionally consist of 11 players on each side. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 103. In colors, there are three primary colors: red, yellow, and blue. Answer:\box{103}
Question: In base-11, what is 21+90? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + 0 = 1 in base-10. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 1 mod 11 = 1, so the digit is 1 and the carry is 0. In mathematics, one is the first counting number and the starting point of the natural numbers. We have 2 + 9 + 0 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 101. In biology, humans have one heart, which pumps blood throughout the body. Answer:\box{101}
Question: In base-11, what is 93+68? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 8 = 11 in base-10. In computer science, '11' is the binary representation of the decimal number 3. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. We have 9 + 6 + 1 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Humans have five basic senses: sight, hearing, smell, taste, and touch. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 150. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. Answer:\box{150}
Question: In base-11, what is 22+83? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 2 + 3 = 5 in base-10. In geometry, a pentagon is a five-sided polygon. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 5 mod 11 = 5, so the digit is 5 and the carry is 0. We have 2 + 8 + 0 = 10 in base 10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is A5. Answer:\box{A5} | 14 | 6 | fixed |
In base-11, what is 29+85? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 103 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 52+89? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + 9 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. We have 5 + 8 + 1 = 14 in base 10. In mathematics, fourteen is the number of days in a fortnight. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 130. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. Answer:\box{130}
Question: In base-11, what is AA+91? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have A + 1 = 11 in base-10. In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have A + 9 + 1 = 20 in base 10. 20 mod 11 = 9, so the digit is 9 and the carry is 1. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 190. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). Answer:\box{190}
Question: In base-11, what is 94+45? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 4 + 5 = 9 in base-10. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 9 mod 11 = 9, so the digit is 9 and the carry is 0. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. We have 9 + 4 + 0 = 13 in base 10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, an area is a two-dimensional size of a defined part of a surface. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 129. Answer:\box{129}
Question: In base-11, what is A9+A1? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 9 + 1 = 10 in base-10. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. We have A + A + 0 = 20 in base 10. In computer science, the number 20 is often used in benchmarks and tests due to its convenient divisibility. 20 mod 11 = 9, so the digit is 9 and the carry is 1. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 19A. Answer:\box{19A}
Question: In base-11, what is 72+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 2 + 7 = 9 in base-10. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. We have 7 + 6 + 0 = 13 in base 10. In mathematics, thirteen is a prime number, the 6th prime number in the series, following 2, 3, 5, 7, and 11. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Two is the base of the binary code, used extensively in computer science. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 129. Answer:\box{129}
Question: In base-11, what is 6A+77? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 7 = 17 in base-10. The 'Rule of Seventeen' in bridge is a guideline for estimating the strength of one's hand. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In astronomy, Saturn is the sixth planet from the Sun in our solar system. We have 6 + 7 + 1 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 136. Six is the atomic number of carbon in chemistry, a key element for life as we know it. Answer:\box{136}
Question: In base-11, what is 70+48? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 0 + 8 = 8 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 8 mod 11 = 8, so the digit is 8 and the carry is 0. Eight is the atomic number of oxygen in chemistry, an element essential for human life. We have 7 + 4 + 0 = 11 in base 10. In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 108. Answer:\box{108}
Question: In base-11, what is 3A+62? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have A + 2 = 12 in base-10. The 12 Zodiac signs represent different personality traits and are used in astrology. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. We have 3 + 6 + 1 = 10 in base 10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. A leading digit is 0. So the answer is A1. Answer:\box{A1}
Question: In base-11, what is 41+A8? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 1 + 8 = 9 in base-10. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. We have 4 + A + 0 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 139. Answer:\box{139}
Question: In base-11, what is A6+8A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + A = 16 in base-10. In computer science, a 'nibble' is a four-bit aggregation, or half an octet, and two nibbles make up a byte, which is 16 bits. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In mathematics, five is the third prime number, after two and three. We have A + 8 + 1 = 19 in base 10. In human biology, the first 19 elements of the periodic table are all found in the human body. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. A leading digit is 1. So the answer is 185. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. Answer:\box{185} | 14 | 6 | fixed |
In base-11, what is 34+4A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 83 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 88+64? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 8 + 4 = 12 in base-10. The 12 Zodiac signs represent different personality traits and are used in astrology. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 12 mod 11 = 1, so the digit is 1 and the carry is 1. We have 8 + 6 + 1 = 15 in base 10. In binary, the decimal number 15 is represented as '1111', which is the maximum four-digit binary number. 15 mod 11 = 4, so the digit is 4 and the carry is 1. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. A leading digit is 1. So the answer is 141. In physics, the number one is the charge of a single unit of positive or negative electricity. Answer:\box{141}
Question: In base-11, what is 96+77? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 7 = 13 in base-10. In many Western cultures, the number 13 is considered unlucky and is sometimes omitted from floor numbering in buildings. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. We have 9 + 7 + 1 = 17 in base 10. In computer science, the Windows 17 operating system is a fictitious version, as Microsoft has not released such a version. 17 mod 11 = 6, so the digit is 6 and the carry is 1. The standard guitar has six strings. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 162. Answer:\box{162}
Question: In base-11, what is A7+57? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 7 + 7 = 14 in base-10. In classical music, Ludwig van Beethoven's 'Moonlight Sonata' is Piano Sonata No 14 and is one of his most famous compositions. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 14 mod 11 = 3, so the digit is 3 and the carry is 1. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). We have A + 5 + 1 = 16 in base 10. There are 16 ounces in a pound in the avoirdupois system of measurement. 16 mod 11 = 5, so the digit is 5 and the carry is 1. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. A leading digit is 1. So the answer is 153. Answer:\box{153}
Question: In base-11, what is 37+6A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 7 + A = 17 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. The standard guitar has six strings. We have 3 + 6 + 1 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is A6. Six is the first perfect number in mathematics, where a perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself. Answer:\box{A6}
Question: In base-11, what is 54+39? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 4 + 9 = 13 in base-10. A baker's dozen traditionally consists of 13 items, one more than the standard dozen. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 5 + 3 + 1 = 9 in base 10. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is 92. In astronomy, Mars, the second planet after Earth, has 2 moons. Answer:\box{92}
Question: In base-11, what is 95+65? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 5 + 5 = 10 in base-10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 10 mod 11 = A, so the digit is A and the carry is 0. We have 9 + 6 + 0 = 15 in base 10. In computer science, a 15-puzzle is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. A leading digit is 1. So the answer is 14A. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Answer:\box{14A}
Question: In base-11, what is 60+5A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 0 + A = 10 in base-10. The number 10 is symbolic in many cultures, often representing perfection or completeness. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. We have 6 + 5 + 0 = 11 in base 10. In sports, cricket teams traditionally consist of 11 players on each side. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 10A. Answer:\box{10A}
Question: In base-11, what is 19+26? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 9 + 6 = 15 in base-10. In physics, 15 is the number of known types of spin-ice configurations in a geometrically frustrated magne. Since we're in base-11, that exceeds the maximum value of A for a single digit. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. We have 1 + 2 + 1 = 4 in base 10. 4 mod 11 = 4, so the digit is 4 and the carry is 0. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 44. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. Answer:\box{44}
Question: In base-11, what is 70+56? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 0 + 6 = 6 in base-10. In geometry, a hexagon is a six-sided polygon. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 6 mod 11 = 6, so the digit is 6 and the carry is 0. We have 7 + 5 + 0 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 116. According to the Standard Model of physics, there are six types of quarks, the fundamental constituents of matter. Answer:\box{116}
Question: In base-11, what is 64+7A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 4 + A = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. We have 6 + 7 + 1 = 14 in base 10. In many cultures, 14 is a symbol of good luck and is often associated with romantic love, especially because of Valentine's Day occurring on February 14. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 133. Physics recognises three laws of motion, first compiled by Isaac Newton. Answer:\box{133} | 14 | 6 | fixed |
In base-11, what is 7A+50? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 11A | Math-11 | Irrelevant | Hard | Question: In base-11, what is 47+3A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 7 + A = 17 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In geometry, a hexagon is a six-sided polygon. We have 4 + 3 + 1 = 8 in base 10. In computer science, a byte is typically made up of 8 bits. 8 mod 11 = 8, so the digit is 8 and the carry is 0. Spiders, part of the arachnid family in biology, typically have eight legs. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is 86. Six is the first perfect number in mathematics, where a perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself. Answer:\box{86}
Question: In base-11, what is A5+40? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 5 + 0 = 5 in base-10. In mathematics, five is the third prime number, after two and three. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 5 mod 11 = 5, so the digit is 5 and the carry is 0. Humans have five basic senses: sight, hearing, smell, taste, and touch. We have A + 4 + 0 = 14 in base 10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 135. Answer:\box{135}
Question: In base-11, what is 19+8A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + A = 19 in base-10. In physics, the nineteenth century marked the discovery of thermodynamics, leading to the development of the steam engine and the industrial revolution. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In music, an octave consists of eight notes in the Western musical scale. We have 1 + 8 + 1 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is A8. Spiders, part of the arachnid family in biology, typically have eight legs. Answer:\box{A8}
Question: In base-11, what is A4+14? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 4 + 4 = 8 in base-10. Spiders, part of the arachnid family in biology, typically have eight legs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 8 mod 11 = 8, so the digit is 8 and the carry is 0. Eight is the atomic number of oxygen in chemistry, an element essential for human life. We have A + 1 + 0 = 11 in base 10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. A leading digit is 1. So the answer is 108. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. Answer:\box{108}
Question: In base-11, what is A1+41? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 1 + 1 = 2 in base-10. Two is the base of the binary code, used extensively in computer science. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 2 mod 11 = 2, so the digit is 2 and the carry is 0. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. We have A + 4 + 0 = 14 in base 10. In mathematics, fourteen is the number of days in a fortnight. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 132. Humans have two sets of each of their chromosomes, making us diploid organisms. Answer:\box{132}
Question: In base-11, what is 46+74? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 4 = 10 in base-10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. The decimal system, which is the most commonly used number system in the world, has a base of 10. We have 4 + 7 + 0 = 11 in base 10. In sports, cricket teams traditionally consist of 11 players on each side. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 10A. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Answer:\box{10A}
Question: In base-11, what is 74+70? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 4 + 0 = 4 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 4 mod 11 = 4, so the digit is 4 and the carry is 0. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. We have 7 + 7 + 0 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 134. In geometry, a square has four equal sides and four right angles. Answer:\box{134}
Question: In base-11, what is A4+A5? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 4 + 5 = 9 in base-10. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. We have A + A + 0 = 20 in base 10. 20 mod 11 = 9, so the digit is 9 and the carry is 1. The gestation period of a human pregnancy is typically nine months. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 199. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. Answer:\box{199}
Question: In base-11, what is A4+76? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 4 + 6 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. We have A + 7 + 0 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 16A. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Answer:\box{16A}
Question: In base-11, what is 49+77? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 9 + 7 = 16 in base-10. There are 16 ounces in a pound in the avoirdupois system of measurement. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. We have 4 + 7 + 1 = 12 in base 10. Humans typically have 12 pairs of ribs in their skeletal structure. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 115. In geometry, a pentagon is a five-sided polygon. Answer:\box{115} | 14 | 6 | fixed |
In base-11, what is 65+9A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 154 | Math-11 | Irrelevant | Hard | Question: In base-11, what is AA+59? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have A + 9 = 19 in base-10. In computer science, the ISO-8859-19 standard is used for encoding Baltic languages, among others. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 19 mod 11 = 8, so the digit is 8 and the carry is 1. We have A + 5 + 1 = 16 in base 10. In mathematics, sixteen is a square number (4^2), meaning it can be arranged in a square with four items on a side. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 158. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. Answer:\box{158}
Question: In base-11, what is 14+92? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 4 + 2 = 6 in base-10. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 6 mod 11 = 6, so the digit is 6 and the carry is 0. Six is the first perfect number in mathematics, where a perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself. We have 1 + 9 + 0 = 10 in base 10. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is A6. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. Answer:\box{A6}
Question: In base-11, what is A1+A8? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 1 + 8 = 9 in base-10. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. We have A + A + 0 = 20 in base 10. Twenty is the atomic number of calcium in chemistry, an essential element for human life, crucial for bone health. 20 mod 11 = 9, so the digit is 9 and the carry is 1. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. A leading digit is 1. So the answer is 199. Answer:\box{199}
Question: In base-11, what is 85+74? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 5 + 4 = 9 in base-10. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. We have 8 + 7 + 0 = 15 in base 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. A leading digit is 1. So the answer is 149. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. Answer:\box{149}
Question: In base-11, what is 96+30? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 6 + 0 = 6 in base-10. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 6 mod 11 = 6, so the digit is 6 and the carry is 0. According to the Standard Model of physics, there are six types of quarks, the fundamental constituents of matter. We have 9 + 3 + 0 = 12 in base 10. Humans typically have 12 pairs of ribs in their skeletal structure. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. So the answer is 116. In geometry, a hexagon is a six-sided polygon. Answer:\box{116}
Question: In base-11, what is 94+70? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 4 + 0 = 4 in base-10. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 4 mod 11 = 4, so the digit is 4 and the carry is 0. In geometry, a square has four equal sides and four right angles. We have 9 + 7 + 0 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 154. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. Answer:\box{154}
Question: In base-11, what is 32+84? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 2 + 4 = 6 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 6 mod 11 = 6, so the digit is 6 and the carry is 0. The standard guitar has six strings. We have 3 + 8 + 0 = 11 in base 10. In sports, cricket teams traditionally consist of 11 players on each side. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 106. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. Answer:\box{106}
Question: In base-11, what is 65+27? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 5 + 7 = 12 in base-10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 12 mod 11 = 1, so the digit is 1 and the carry is 1. One often represents the 'on' state in binary code, which underlies digital computing. We have 6 + 2 + 1 = 9 in base 10. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In mythology and religion, there are nine realms in Norse Cosmology. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 91. Answer:\box{91}
Question: In base-11, what is 15+90? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 5 + 0 = 5 in base-10. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 5 mod 11 = 5, so the digit is 5 and the carry is 0. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. We have 1 + 9 + 0 = 10 in base 10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. So the answer is A5. In mathematics, five is the third prime number, after two and three. Answer:\box{A5}
Question: In base-11, what is 91+15? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + 5 = 6 in base-10. Six is the atomic number of carbon in chemistry, a key element for life as we know it. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. We have 9 + 1 + 0 = 10 in base 10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is A6. In geometry, a hexagon is a six-sided polygon. Answer:\box{A6} | 14 | 6 | fixed |
In base-11, what is 34+A0? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 124 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 43+7A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 3 + A = 13 in base-10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. We have 4 + 7 + 1 = 12 in base 10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. A leading digit is 1. So the answer is 112. Answer:\box{112}
Question: In base-11, what is 22+90? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 2 + 0 = 2 in base-10. Humans have two sets of each of their chromosomes, making us diploid organisms. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 2 mod 11 = 2, so the digit is 2 and the carry is 0. In mathematics, two is the smallest and first prime number. We have 2 + 9 + 0 = 11 in base 10. In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. A leading digit is 1. So the answer is 102. In human anatomy, the body is largely symmetrical with two halves. Answer:\box{102}
Question: In base-11, what is 24+49? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 4 + 9 = 13 in base-10. A baker's dozen traditionally consists of 13 items, one more than the standard dozen. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. We have 2 + 4 + 1 = 7 in base 10. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 72. In mathematics, two is the smallest and first prime number. Answer:\box{72}
Question: In base-11, what is 76+9A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 6 + A = 16 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In mathematics, five is the third prime number, after two and three. We have 7 + 9 + 1 = 17 in base 10. In computer science, the Windows 17 operating system is a fictitious version, as Microsoft has not released such a version. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 165. Answer:\box{165}
Question: In base-11, what is 18+73? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 8 + 3 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. We have 1 + 7 + 1 = 9 in base 10. The gestation period of a human pregnancy is typically nine months. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 90. Answer:\box{90}
Question: In base-11, what is 81+22? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 1 + 2 = 3 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 3 mod 11 = 3, so the digit is 3 and the carry is 0. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. We have 8 + 2 + 0 = 10 in base 10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is A3. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. Answer:\box{A3}
Question: In base-11, what is 64+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 4 + A = 14 in base-10. Fourteen is the atomic number of silicon in chemistry, a key element used in semiconductors and various electronics. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. We have 6 + A + 1 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. According to the Standard Model of physics, there are six types of quarks, the fundamental constituents of matter. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 163. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). Answer:\box{163}
Question: In base-11, what is 58+59? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 8 + 9 = 17 in base-10. In human biology, the kidneys filter about 17 liters of blood every hour. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. We have 5 + 5 + 1 = 11 in base 10. In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 106. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. Answer:\box{106}
Question: In base-11, what is A6+11? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 6 + 1 = 7 in base-10. In biology, a rainbow is seen in seven colors due to the refraction of light. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 7 mod 11 = 7, so the digit is 7 and the carry is 0. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. We have A + 1 + 0 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 107. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. Answer:\box{107}
Question: In base-11, what is 83+9A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 3 + A = 13 in base-10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 8 + 9 + 1 = 18 in base 10. Eighteen is the atomic number of argon in chemistry, a noble gas that is colorless, odorless, and used in lighting and lasers. 18 mod 11 = 7, so the digit is 7 and the carry is 1. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 172. Answer:\box{172} | 14 | 6 | fixed |
In base-11, what is 76+59? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 124 | Math-11 | Irrelevant | Hard | Question: In base-11, what is A5+59? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 5 + 9 = 14 in base-10. In many cultures, 14 is a symbol of good luck and is often associated with romantic love, especially because of Valentine's Day occurring on February 14. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). We have A + 5 + 1 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 153. Physics recognises three laws of motion, first compiled by Isaac Newton. Answer:\box{153}
Question: In base-11, what is 56+49? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + 9 = 15 in base-10. In binary, the decimal number 15 is represented as '1111', which is the maximum four-digit binary number. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 15 mod 11 = 4, so the digit is 4 and the carry is 1. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. We have 5 + 4 + 1 = 10 in base 10. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. A leading digit is 0. So the answer is A4. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. Answer:\box{A4}
Question: In base-11, what is 26+54? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 6 + 4 = 10 in base-10. The decimal system, which is the most commonly used number system in the world, has a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. We have 2 + 5 + 0 = 7 in base 10. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. A leading digit is 0. So the answer is 7A. Answer:\box{7A}
Question: In base-11, what is 69+A1? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 9 + 1 = 10 in base-10. The number 10 is symbolic in many cultures, often representing perfection or completeness. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. We have 6 + A + 0 = 16 in base 10. In human biology, 16 is the number of chromosomes in the parasite that causes malaria (Plasmodium falciparum). 16 mod 11 = 5, so the digit is 5 and the carry is 1. A leading digit is 1. So the answer is 15A. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Answer:\box{15A}
Question: In base-11, what is 37+15? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 7 + 5 = 12 in base-10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. We have 3 + 1 + 1 = 5 in base 10. 5 mod 11 = 5, so the digit is 5 and the carry is 0. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 51. In biology, humans have one heart, which pumps blood throughout the body. Answer:\box{51}
Question: In base-11, what is A1+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 1 + 7 = 8 in base-10. In computer science, a byte is typically made up of 8 bits. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. Eight is the atomic number of oxygen in chemistry, an element essential for human life. We have A + 6 + 0 = 16 in base 10. In computer science, hexadecimal is a base-16 number system, and it is widely used in programming. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. A leading digit is 1. So the answer is 158. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. Answer:\box{158}
Question: In base-11, what is 41+70? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 1 + 0 = 1 in base-10. In biology, humans have one heart, which pumps blood throughout the body. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 1 mod 11 = 1, so the digit is 1 and the carry is 0. One often represents the 'on' state in binary code, which underlies digital computing. We have 4 + 7 + 0 = 11 in base 10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. So the answer is 101. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. Answer:\box{101}
Question: In base-11, what is 7A+52? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have A + 2 = 12 in base-10. Humans typically have 12 pairs of ribs in their skeletal structure. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. We have 7 + 5 + 1 = 13 in base 10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. A leading digit is 1. So the answer is 121. Answer:\box{121}
Question: In base-11, what is 72+66? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 2 + 6 = 8 in base-10. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. Eight is the atomic number of oxygen in chemistry, an element essential for human life. We have 7 + 6 + 0 = 13 in base 10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In human anatomy, the body is largely symmetrical with two halves. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 128. Answer:\box{128}
Question: In base-11, what is 78+66? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 8 + 6 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. We have 7 + 6 + 1 = 14 in base 10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 133. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. Answer:\box{133} | 14 | 6 | fixed |
In base-11, what is 44+68? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 101 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 90+99? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 0 + 9 = 9 in base-10. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 9 mod 11 = 9, so the digit is 9 and the carry is 0. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. We have 9 + 9 + 0 = 18 in base 10. In computer science, the UTF-18 character set is a proposed extension of the Unicode standard to include a wider range of characters. 18 mod 11 = 7, so the digit is 7 and the carry is 1. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 179. Answer:\box{179}
Question: In base-11, what is 82+20? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 2 + 0 = 2 in base-10. Humans have two sets of each of their chromosomes, making us diploid organisms. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 2 mod 11 = 2, so the digit is 2 and the carry is 0. We have 8 + 2 + 0 = 10 in base 10. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is A2. In astronomy, Mars, the second planet after Earth, has 2 moons. Answer:\box{A2}
Question: In base-11, what is 73+3A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 3 + A = 13 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Humans have two sets of each of their chromosomes, making us diploid organisms. We have 7 + 3 + 1 = 11 in base 10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. 11 mod 11 = 0, so the digit is 0 and the carry is 1. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 102. In mathematics, two is the smallest and first prime number. Answer:\box{102}
Question: In base-11, what is 24+6A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 4 + A = 14 in base-10. Fourteen is the atomic number of silicon in chemistry, a key element used in semiconductors and various electronics. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. We have 2 + 6 + 1 = 9 in base 10. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In mythology and religion, there are nine realms in Norse Cosmology. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 93. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). Answer:\box{93}
Question: In base-11, what is 94+3A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 4 + A = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. We have 9 + 3 + 1 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 123. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. Answer:\box{123}
Question: In base-11, what is 71+7A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 1 + A = 11 in base-10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). We have 7 + 7 + 1 = 15 in base 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. A leading digit is 1. So the answer is 140. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. Answer:\box{140}
Question: In base-11, what is 63+87? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 3 + 7 = 10 in base-10. The number 10 is symbolic in many cultures, often representing perfection or completeness. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 10 mod 11 = A, so the digit is A and the carry is 0. We have 6 + 8 + 0 = 14 in base 10. Humans have 14 phalangeal bones in each hand and foot, which make up the fingers and toes. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. A leading digit is 1. So the answer is 13A. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. Answer:\box{13A}
Question: In base-11, what is 1A+A1? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have A + 1 = 11 in base-10. In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In chemistry, pH 0 on the pH scale represents extreme acidity. We have 1 + A + 1 = 12 in base 10. The 12 Zodiac signs represent different personality traits and are used in astrology. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. A leading digit is 1. So the answer is 110. Answer:\box{110}
Question: In base-11, what is 96+31? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 6 + 1 = 7 in base-10. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. We have 9 + 3 + 0 = 12 in base 10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. A leading digit is 1. So the answer is 117. Answer:\box{117}
Question: In base-11, what is 75+A8? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 5 + 8 = 13 in base-10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. We have 7 + A + 1 = 18 in base 10. In Tarot, the Moon card is card number 18, representing intuition, dreams, and the unconscious. 18 mod 11 = 7, so the digit is 7 and the carry is 1. A leading digit is 1. So the answer is 172. Humans have two sets of each of their chromosomes, making us diploid organisms. Answer:\box{172} | 14 | 6 | fixed |
In base-11, what is 87+26? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". | 102 | Math-11 | Irrelevant | Hard | Question: In base-11, what is 73+A0? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 3 + 0 = 3 in base-10. Physics recognises three laws of motion, first compiled by Isaac Newton. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 3 mod 11 = 3, so the digit is 3 and the carry is 0. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. We have 7 + A + 0 = 17 in base 10. Seventeen is a Fermat prime, as it is in the form of 2^(2^n) + 1, with n = 2. 17 mod 11 = 6, so the digit is 6 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 163. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. Answer:\box{163}
Question: In base-11, what is 19+32? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 9 + 2 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. We have 1 + 3 + 1 = 5 in base 10. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. 5 mod 11 = 5, so the digit is 5 and the carry is 0. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 50. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. Answer:\box{50}
Question: In base-11, what is 46+7A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". We have 6 + A = 16 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. We have 4 + 7 + 1 = 12 in base 10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 115. Humans have five basic senses: sight, hearing, smell, taste, and touch. Answer:\box{115}
Question: In base-11, what is A6+95? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 6 + 5 = 11 in base-10. In computer science, '11' is the binary representation of the decimal number 3. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have A + 9 + 1 = 20 in base 10. Twenty is the atomic number of calcium in chemistry, an essential element for human life, crucial for bone health. 20 mod 11 = 9, so the digit is 9 and the carry is 1. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. A leading digit is 1. So the answer is 190. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. Answer:\box{190}
Question: In base-11, what is 28+54? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 8 + 4 = 12 in base-10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. We have 2 + 5 + 1 = 8 in base 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is 81. In biology, humans have one heart, which pumps blood throughout the body. Answer:\box{81}
Question: In base-11, what is 78+51? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 8 + 1 = 9 in base-10. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 9 mod 11 = 9, so the digit is 9 and the carry is 0. We have 7 + 5 + 0 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 119. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. Answer:\box{119}
Question: In base-11, what is A8+6A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 8 + A = 18 in base-10. In physics, there are 18 families of elementary particles in the Standard Model. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. We have A + 6 + 1 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Six is the atomic number of carbon in chemistry, a key element for life as we know it. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 167. Answer:\box{167}
Question: In base-11, what is 76+16? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 6 + 6 = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. We have 7 + 1 + 1 = 9 in base 10. In mythology and religion, there are nine realms in Norse Cosmology. 9 mod 11 = 9, so the digit is 9 and the carry is 0. The gestation period of a human pregnancy is typically nine months. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is 91. One often represents the 'on' state in binary code, which underlies digital computing. Answer:\box{91}
Question: In base-11, what is 56+49? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 6 + 9 = 15 in base-10. In mathematics, a group of 15 is known as a pentadecagon, which is a polygon with 15 sides and 15 angles. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In geometry, a square has four equal sides and four right angles. We have 5 + 4 + 1 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is A4. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. Answer:\box{A4}
Question: In base-11, what is 6A+A7? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have A + 7 = 17 in base-10. The 'Rule of Seventeen' in bridge is a guideline for estimating the strength of one's hand. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In geometry, a hexagon is a six-sided polygon. We have 6 + A + 1 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In astronomy, Saturn is the sixth planet from the Sun in our solar system. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 166. Answer:\box{166} | 14 | 6 | fixed |
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