id string | source string | question string | choices list | answer string | meta_prompt string | instruction string | augmentation_type string | augmented_question string |
|---|---|---|---|---|---|---|---|---|
MMLU_train_70920 | MMLU | Mike comes from the USA. He is twelve years old. His father,Mr. Brown,works in a big factory in Beijing. His mother,Mrs. Brown,teaches English in No.10 Middle School in Beijing. Mike has a sister. Her name is Kate. She is eight years old. It is Sunday today. Mike's family are all at home. Mr. Brown is reading newspaper... | [
"They come from America.",
"They come from China.",
"They are from Japan.",
"They are from England."
] | A | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | Mike is from the USA. He is twelve years old. His father, Mr. Brown, works in a large factory in Beijing. His mother, Mr. Brown, teaches English in No.10 Middle School in Beijing. Mike has a sister. Her name is Kate. She is eight years old. It's Sunday today. Mike's family are all at home. Mr. Brown reads newspapers on... |
MMLU_train_70920 | MMLU | Mike comes from the USA. He is twelve years old. His father,Mr. Brown,works in a big factory in Beijing. His mother,Mrs. Brown,teaches English in No.10 Middle School in Beijing. Mike has a sister. Her name is Kate. She is eight years old. It is Sunday today. Mike's family are all at home. Mr. Brown is reading newspaper... | [
"They come from America.",
"They come from China.",
"They are from Japan.",
"They are from England."
] | A | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | His father, Mr. Brown, works at a big factory in Beijing. His mother, Mrs. Brown, teaches English at middle school number 10 in Beijing. Mike has a sister. Her name is Kate. She's eight. She's eight. Today. |
MMLU_train_19026 | MMLU | Why do men live a shorter life than women? The latest research indicates that men's hearts going into a rapid decline when they reach middle age could be the cause. The research of ageing on the heart has shown that women's _ may be linked to the fact that their hearts do not lose much pumping power with age. "We have ... | [
"enable your heart to beat much faster",
"think about the reason for ageing",
"take regular exercise to keep your heart healthy",
"stop your cells from being lost"
] | C | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | Why do men live a shorter life than women? The latest research shows that the hearts of men go into a rapid decline when they reach the middle age could be the cause.The research of aging at heart has shown that women _ can be associated with the fact that their hearts do not lose much pumping power with age. "We have ... |
MMLU_train_19026 | MMLU | Why do men live a shorter life than women? The latest research indicates that men's hearts going into a rapid decline when they reach middle age could be the cause. The research of ageing on the heart has shown that women's _ may be linked to the fact that their hearts do not lose much pumping power with age. "We have ... | [
"enable your heart to beat much faster",
"think about the reason for ageing",
"take regular exercise to keep your heart healthy",
"stop your cells from being lost"
] | C | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | "We found that male heart force falls by 20-25% between 20 and 70 years of age," said the head of study, Samantha, from Liverpool John Morse University in the United Kingdom. "In the heart there are millions of cells that make them shake. |
BigMath_train_big_math_1780 | Big-Math-RL-Verified | Given that ABCD is a unit square and P is the midpoint of side AB, the square is folded along PC and PD to form a tetrahedron PACD (where A coincides with B). Calculate the volume of tetrahedron PACD. Express your answer as a fraction with a square root. | null | \frac{\sqrt{3}}{24} | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_1 | Since ABCD is a unit square and P is the center of the page AB, the square is folded along PC and PD to form a tetrahedron PACD (where A coincides with B). Calculate the volume of Tetrahedron PACD. Express your answer as a break with a square root. |
BigMath_train_big_math_1780 | Big-Math-RL-Verified | Given that ABCD is a unit square and P is the midpoint of side AB, the square is folded along PC and PD to form a tetrahedron PACD (where A coincides with B). Calculate the volume of tetrahedron PACD. Express your answer as a fraction with a square root. | null | \frac{\sqrt{3}}{24} | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_2 | Given that ABCD is a square unit and P is the midpoint of AB, the box is folded along PC and PD to form a texhedron paCD (where A coincides with B). Calculating the size of paCD quadripartite Hedron. |
MMLU_train_69308 | MMLU | There are many kinds of cars in this world. My grandfather thinks this is because cars are like their drivers. He says, "Rich people have expensive cars, big people have large cars, and old people drive old cars." But I don't agree with him. My neighbor, Mrs. Hill, is 82 years old. She drives only on Tuesday, and then ... | [
"because she is poor",
"because she is rich",
"because she likes old cars",
"and the passage doesn't tell us why"
] | D | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | There are many types of cars in this world. My grandfather thinks this is because cars are like their drivers. He says: "Rich people have expensive cars, big people have big cars, and old people drive old cars." But I don't agree with him. My neighbor, Mrs. Hill, is 82 years old. She drives only on Tuesday, and then sh... |
MMLU_train_69308 | MMLU | There are many kinds of cars in this world. My grandfather thinks this is because cars are like their drivers. He says, "Rich people have expensive cars, big people have large cars, and old people drive old cars." But I don't agree with him. My neighbor, Mrs. Hill, is 82 years old. She drives only on Tuesday, and then ... | [
"because she is poor",
"because she is rich",
"because she likes old cars",
"and the passage doesn't tell us why"
] | D | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | My neighbor, Mrs. Hill, is 82 years old, and she's only driving on Tuesday, and she's only driving to the bank. She doesn't drive more than 30 km an hour. |
DROP_train_635a2972-72e1-403c-a0b5-adebc13ccb39 | DROP | Coming off of their road win over the 49ers, the Ravens went home for a Week 6 interconference duel with the winless St. Louis Rams. With QB Steve McNair out with injuries, back-up Kyle Boller was given the start. In the first quarter, Baltimore took flight early with kicker Matt Stover getting a 43-yard field goal fo... | null | 3 | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_1 | With QB Steve McNair with injuries home, the Ravens went home for a week 6 interconference duel with the winless St. Louis Rams. With QB Steve McNair with injuries, back-up Kyle Boller became the start. In the first quarter, Baltimore took flight early with Kicker Matt Stover getting a 43-yard field goal for the only s... |
DROP_train_635a2972-72e1-403c-a0b5-adebc13ccb39 | DROP | Coming off of their road win over the 49ers, the Ravens went home for a Week 6 interconference duel with the winless St. Louis Rams. With QB Steve McNair out with injuries, back-up Kyle Boller was given the start. In the first quarter, Baltimore took flight early with kicker Matt Stover getting a 43-yard field goal fo... | null | 3 | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_2 | In the first quarter, Baltimore increased her career with Stoffer in achieving a field goal of 23 yards. In the second quarter, the crow continued to take advantage of a wounded Rams team with Stoffer kicking a field goal of 42 yards, together with Ruby Willis McGay, who received 6 yards, and in the third quarter, Balt... |
MMLU_train_16350 | MMLU | Have you ever suddenly felt that someone you know was in trouble -- and he was? Have you ever dreamed something that came true later? Maybe you have ESP. ESP stands for Extra Sensory Perception. It may be called a sixth sense. It seems to let people know about events before they happen, or events that are happening som... | [
"avoid traffic accidents",
"know the good and bad of a person",
"know about the events happening some distance away",
"sense a danger that will happen later on"
] | D | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | Have you ever felt that someone you know was in trouble -- and he was? Have you ever dreamed anything that became true later? Maybe you have ESP. ESP stands for extra sensory perception. It can be called a sixth sense. It seems people know about events before they happen, or events that happen something removed. Here's... |
MMLU_train_16350 | MMLU | Have you ever suddenly felt that someone you know was in trouble -- and he was? Have you ever dreamed something that came true later? Maybe you have ESP. ESP stands for Extra Sensory Perception. It may be called a sixth sense. It seems to let people know about events before they happen, or events that are happening som... | [
"avoid traffic accidents",
"know the good and bad of a person",
"know about the events happening some distance away",
"sense a danger that will happen later on"
] | D | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | Did you ever feel that someone you knew was in trouble - and it was? Did you ever dream of something that came true later? You might have ESP. ESP standing for more sorrows. It might be called a sixth sense. It seems to allow people to know about events before they happened, or events that occurred some distance. Here'... |
ARC-Challenge_train_Mercury_7267995 | ARC-Challenge | Some plant species and animal species depend on each other. Which of these animals help thousands of plant species to reproduce?
Options:
A. squirrels
B. earthworms
C. honeybees
D. beetles | [
"squirrels",
"earthworms",
"honeybees",
"beetles"
] | C | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | Which of these animals help thousands of plant species to reproduce? Options: A. Squirrel B. Earthworms C. Honey bees D. Beetle |
ARC-Challenge_train_Mercury_7267995 | ARC-Challenge | Some plant species and animal species depend on each other. Which of these animals help thousands of plant species to reproduce?
Options:
A. squirrels
B. earthworms
C. honeybees
D. beetles | [
"squirrels",
"earthworms",
"honeybees",
"beetles"
] | C | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | Which of these animals helps thousands of plant species reproduce? Options: A. Squirrels B. |
MMLU_train_4290 | MMLU | Maria was a teacher at a small school in Arizona. Maria had worked in the past at schools in California, Texas, and Vermont, but had to leave these schools because the school in Arizona was perfect for her dream job. When she moved to Arizona she found a small little one bedroom house that fit her perfectly. The house ... | [
"For it to be delivered and set up.",
"For her to pick it up and not set up.",
"for her to pick it up and them to set it up.",
"For it to be delivered and not set up."
] | A | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | Maria was a teacher in a small school in Arizona. Maria had worked in the past at schools in California, Texas, and Vermont, but had to leave these schools because the school in Arizona was perfect for her dream job. When she moved to Arizona, she found a small one bedroom house that fits her perfectly. The house was o... |
MMLU_train_4290 | MMLU | Maria was a teacher at a small school in Arizona. Maria had worked in the past at schools in California, Texas, and Vermont, but had to leave these schools because the school in Arizona was perfect for her dream job. When she moved to Arizona she found a small little one bedroom house that fit her perfectly. The house ... | [
"For it to be delivered and set up.",
"For her to pick it up and not set up.",
"for her to pick it up and them to set it up.",
"For it to be delivered and not set up."
] | A | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | Maria worked in schools in California, Texas, and Vermont, but she had to leave these schools because the school in Arizona was perfect for her dream. When she moved to Arizona, she found a small bedroom house that fits her well. The house was upstairs from another building, owned by another teacher. |
MMLU_train_35252 | MMLU | Parties, iPods, concerts, movies, TV shows, video games, traffic. All of these things of the modern world make life entertaining and enjoyable. But our 21st-century lifestyle is also loud and, if we don't take notice, it can have an effect on our hearing. Most teenagers don't think about hearing loss. But if you experi... | [
"music that teenagers like",
"hearing problems caused by the loud world",
"ways that teenagers enjoy music",
"dangerous modern lifestyles of teenagers."
] | B | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | Parties, iPods, concerts, TV shows, video games, traffic. All these things in the modern world make life entertaining and enjoyable. But our lifestyle of the 21st century is also noisy and, if we don't notice, it can have an effect on our hearing. Most teenagers don't think about hearing loss. But if you experience any... |
ARC-Challenge_train_TIMSS_1995_8_P7 | ARC-Challenge | Whenever scientists carefully measure any quantity many times, they expect that
Options:
A. all of the measurements will be exactly the same
B. only two of the measurements will be exactly the same
C. all but one of the measurements will be exactly the same
D. most of the measurements will be close but not exactly the... | [
"all of the measurements will be exactly the same",
"only two of the measurements will be exactly the same",
"all but one of the measurements will be exactly the same",
"most of the measurements will be close but not exactly the same"
] | D | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | Whenever scientists measure every quantity many times carefully, they expect that options: A. all measurements will be exactly the same B. only two of the measurements will be exactly the same C. all, but one of the measurements will be exactly the same D. most of the measurements will be close, but not exactly the sam... |
ARC-Challenge_train_TIMSS_1995_8_P7 | ARC-Challenge | Whenever scientists carefully measure any quantity many times, they expect that
Options:
A. all of the measurements will be exactly the same
B. only two of the measurements will be exactly the same
C. all but one of the measurements will be exactly the same
D. most of the measurements will be close but not exactly the... | [
"all of the measurements will be exactly the same",
"only two of the measurements will be exactly the same",
"all but one of the measurements will be exactly the same",
"most of the measurements will be close but not exactly the same"
] | D | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | When scientists carefully measure any quantity many times, they expect that options A. All measurements will be exactly the same B. Only two measurements will be exactly the same C. All but one of the measurements will be exactly the same D. Most measurements will be close but not exactly the same |
ARC-Challenge_train_Mercury_7142713 | ARC-Challenge | Elisa was classifying types of energy as either potential or kinetic. Which is a type of potential energy?
Options:
A. sound energy
B. radiant energy
C. thermal energy
D. chemical energy | [
"sound energy",
"radiant energy",
"thermal energy",
"chemical energy"
] | D | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | Elisa ordered energy types either as potential or as kinetic energy. Which is a possible type of energy? Options: A. Sound energy B. Radiation energy C. Thermal energy D. Chemical energy |
ARC-Challenge_train_Mercury_7142713 | ARC-Challenge | Elisa was classifying types of energy as either potential or kinetic. Which is a type of potential energy?
Options:
A. sound energy
B. radiant energy
C. thermal energy
D. chemical energy | [
"sound energy",
"radiant energy",
"thermal energy",
"chemical energy"
] | D | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | Elisa classified energy types either as potential or dynamic. What kind of potential energy? Options: sound A energy. |
ARC-Challenge_train_Mercury_SC_401284 | ARC-Challenge | A certain animal has specialized cells that can cause it to change color rapidly. This color change will most likely help the animal
Options:
A. run quickly.
B. digest food rapidly.
C. hide from predators.
D. retain body heat. | [
"run quickly.",
"digest food rapidly.",
"hide from predators.",
"retain body heat."
] | C | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | A particular animal has specialized cells that can cause it to change color quickly. This color change will most likely help the animal options: A. run fast. B. digest food quickly. C. hide from predators. D. retain body heat. |
ARC-Challenge_train_Mercury_SC_401284 | ARC-Challenge | A certain animal has specialized cells that can cause it to change color rapidly. This color change will most likely help the animal
Options:
A. run quickly.
B. digest food rapidly.
C. hide from predators.
D. retain body heat. | [
"run quickly.",
"digest food rapidly.",
"hide from predators.",
"retain body heat."
] | C | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | A particular animal has specialized cells that can make it change color quickly. This change in color is likely to help animal options: A. Run quickly. B. digest food quickly. C. Hide from predators. D. Save the body heat. |
MMLU_train_85987 | MMLU | If someone asks me: "Do you like music?" I'm sure I will answer him or her: "Of course, I do." Because I think music is an important part of our lives. Different people have different ideas about music. For me, I like rock music because it's so exciting. And my favorite rock band, the "Fox Ladies is one of the most f... | [
"amazing.",
"boring.",
"relaxing",
"interesting"
] | C | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | When someone asks me, "Do you love music?" I'm sure I'll answer him or her: "Of course I do." Because I think music is an important part of our lives. Different people have different ideas about music. I like rock music because it's so exciting for me. And my favorite rock band, the "Fox Ladies is one of the most famou... |
MMLU_train_85987 | MMLU | If someone asks me: "Do you like music?" I'm sure I will answer him or her: "Of course, I do." Because I think music is an important part of our lives. Different people have different ideas about music. For me, I like rock music because it's so exciting. And my favorite rock band, the "Fox Ladies is one of the most f... | [
"amazing.",
"boring.",
"relaxing",
"interesting"
] | C | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | If someone asks me, "Do you like music?" I'm sure I'm gonna answer it, or she is, "Of course, I do." Because I think music is an important part of our lives. Different people have different ideas about music. For me, I love rock music because it's so exciting. My favorite rock music, and my favorite rock music, "I love... |
DROP_train_3aaf1a92-8071-4623-92a8-48118aca2785 | DROP | In January 1976 the Communist Party of Kampuchea promulgated the "Constitution of Democratic Kampuchea". The Constitution provided for a "Kampuchean People's Representative Assembly" to be elected by secret ballot in direct general elections and a State Praesidium to be selected and appointed every five years by the ... | null | Kampuchea was an atheist state | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_1 | In January 1976 the Communist Party of Kampuchea promulgated the "Constitution of Democratic Kampuchea". The Constitution provided that a "Kampuchean People's Representative Assembly" would be elected by secret election in direct general elections and a State Bureau selected and appointed every five years by the KPRA. ... |
DROP_train_3aaf1a92-8071-4623-92a8-48118aca2785 | DROP | In January 1976 the Communist Party of Kampuchea promulgated the "Constitution of Democratic Kampuchea". The Constitution provided for a "Kampuchean People's Representative Assembly" to be elected by secret ballot in direct general elections and a State Praesidium to be selected and appointed every five years by the ... | null | Kampuchea was an atheist state | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_2 | The Korean People's Assembly met only once, a three-day session in April 1976. The members of the Korean People's Assembly were never elected by secret ballot; the Central Committee of the Kurdistan People's Assembly appointed the President and other senior officials of both the Council and the State of Pracidium. |
BigMath_train_orca_math_813 | Big-Math-RL-Verified | A certain mixture contains water with 20% of alcohol. If 5 more lts of water are added to the mixture, the percentage of alcohol becomes 15%. What is the initial volume of the mixture? | null | 15 | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_1 | A certain mixture contains water with 20% alcohol. If 5 litres of water are added to the mixture, the amount of alcohol becomes 15%. What is the initial volume of the mixture? |
BigMath_train_orca_math_813 | Big-Math-RL-Verified | A certain mixture contains water with 20% of alcohol. If 5 more lts of water are added to the mixture, the percentage of alcohol becomes 15%. What is the initial volume of the mixture? | null | 15 | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_2 | A certain mixture contains water with 20% alcohol, and if another 5 liters of water are added to the mixture, the percentage of alcohol becomes 15%. What is the initial size of the mixture? |
BigMath_train_orca_math_2840 | Big-Math-RL-Verified | A cashier has 30 bills, all of which are a certain denomination or $20 bills. The total value of the money is $330. The cashier has 27 bills of the smaller denomination and 3 $20 bills. What is the smaller denomination of the bills? | null | \$10 | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_1 | A cashier has 30 bills, all of which are a specific denomination or $20 bills. The total value of the money is $330. The cashier has 27 bills of the smaller denomination and $320 bills. What is the smaller denomination of bills? |
BigMath_train_orca_math_2840 | Big-Math-RL-Verified | A cashier has 30 bills, all of which are a certain denomination or $20 bills. The total value of the money is $330. The cashier has 27 bills of the smaller denomination and 3 $20 bills. What is the smaller denomination of the bills? | null | \$10 | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_2 | The cashier has 30 invoices, all of which are of a certain category or 20 invoices, with a total value of $330, 27 smaller bills and 3 $20 bills, and what is a smaller category of invoices? |
DROP_train_c3ce913b-8073-4c12-8661-5146a51e3770 | DROP | Despite the adversity they had gone through, the Pacers made the 2005 NBA Playoffs for the 13th time in 14 years. In the first round, Indiana defeated the Atlantic Division champion 2004-05 Boston Celtics season in seven games, winning Game 7 in Boston by the decisive margin of 97-70, just the third time the Celtics ha... | null | 6 | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_1 | In the first round Indiana defeated the Atlantic Division Champion 2004-05 Boston Celtics season in seven games, Game 7 won in Boston by the decisive margin of 97-70, only the third time the Celtics had dropped a Game 7 at home. The Pacers then in the second round against the 2004-05 season Detroit Pistons, in a rematc... |
DROP_train_c3ce913b-8073-4c12-8661-5146a51e3770 | DROP | Despite the adversity they had gone through, the Pacers made the 2005 NBA Playoffs for the 13th time in 14 years. In the first round, Indiana defeated the Atlantic Division champion 2004-05 Boston Celtics season in seven games, winning Game 7 in Boston by the decisive margin of 97-70, just the third time the Celtics ha... | null | 6 | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_2 | In the first round, Indiana defeated Atlantic Division Champion 2004-05 Boston Slatix in seven games, winning game 7 in Boston with the critical margin 97-70, only the third time the Celtic Team dropped game 7 in the house. The Bex team then took the second round against round 2 in 2004-05 Detroit Pistons, rearranging ... |
MMLU_train_79257 | MMLU | Molly Boylan is one of the most successful business women in Canada after setting up her cosmetic company Blazes in 1992. Though she is very successful, she says that she finds it harder every year in balance her business with her family life. She sometimes feels that her two children know more about their baby---s... | [
"Molly and her children",
"Molly finding a new manager",
"the baby-sitter and the kids",
"Molly making a change about her business"
] | B | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | Molly Boylan is one of the most successful business women in Canada after founding her cosmetics company Blazes 1992. Although she is very successful, she says she finds it more difficult each year to balance her business with her family life. She sometimes feels that her two children know more about her baby ----sitte... |
MMLU_train_79257 | MMLU | Molly Boylan is one of the most successful business women in Canada after setting up her cosmetic company Blazes in 1992. Though she is very successful, she says that she finds it harder every year in balance her business with her family life. She sometimes feels that her two children know more about their baby---s... | [
"Molly and her children",
"Molly finding a new manager",
"the baby-sitter and the kids",
"Molly making a change about her business"
] | B | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | She is one of the most successful businesswomen in Canada after her company Blazes was founded in 1992 - despite her great success, says that she finds it more difficult every year to balance her work with her family life. Sometimes she feels that her children know more about their baby--cubs. Molly employs about 80 pe... |
MMLU_train_62900 | MMLU | You've probably heard of a lot about the Internet,but what is it? The Internet is a computer network that uses the telephone system to connect together millions of computers around the world. Maybe that isn't very exciting but once you're connected to the Internet,there are lots of different things you can do.You can s... | [
"learn how to operate a computer",
"know how to make a telephone call",
"have a telephone",
"learn how to type on a computer"
] | C | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | You've probably heard of a lot about the Internet, but what is it? The Internet is a computer network that uses the telephone system to connect millions of computers around the world.Perhaps this isn't very exciting, but if you're connected to the Internet, there are many different things you can do.You can send electr... |
MMLU_train_62900 | MMLU | You've probably heard of a lot about the Internet,but what is it? The Internet is a computer network that uses the telephone system to connect together millions of computers around the world. Maybe that isn't very exciting but once you're connected to the Internet,there are lots of different things you can do.You can s... | [
"learn how to operate a computer",
"know how to make a telephone call",
"have a telephone",
"learn how to type on a computer"
] | C | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | Maybe this isn't very exciting, but once you're connected to the Internet, there's a lot of different things you can do. You can send e-mails or e-mails to your friends (as long as they're online, too), or you can sort out all kinds of information about something called the World Wide Web. You may not need to know how ... |
BigMath_train_cn_k12_2349 | Big-Math-RL-Verified | Given two lines $l_1: ax+3y-1=0$ and $l_2: 2x+(a-1)y+1=0$ are perpendicular, find the real number $a$. | null | \frac{3}{5} | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_1 | For two lines $l_1: ax+3y-1=0$ and $l_2: 2x+(a-1)y+1=0$ are vertical, find the real number $a$. |
BigMath_train_cn_k12_2349 | Big-Math-RL-Verified | Given two lines $l_1: ax+3y-1=0$ and $l_2: 2x+(a-1)y+1=0$ are perpendicular, find the real number $a$. | null | \frac{3}{5} | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_2 | And given two lines: ax plus 3y-1 is equal to 0 dollars and $l_2:2x+ (a-1) y+1 is equal to 0 dollars are vertical, find the real figure for one dollar. |
BigMath_train_olympiads_532 | Big-Math-RL-Verified | Find all triples of numbers \( m, n, k \) such that each of the equations \( m x^{2} + n = 0 \), \( n x^{2} + k = 0 \), and \( k x^{2} + m = 0 \) has at least one solution. | null | m = 0, n = 0, k = 0 | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_1 | Find all triple numbers \( m, n, k \) so that each of the equations \( m x^{2} + n = 0 \), \( n x^{2} + k = 0 \) and \( k x^{2} + m = 0 \) has at least one solution. |
MMLU_train_34759 | MMLU | Those people, those things, such as bursts of light rain in the lake left ring watermark four scattered to each other to melt each other's impact; just like the quiet shining star, not very bright, but clearly made. They do not know how much to spend with me during the bright day and silent night. In my memory, the thi... | [
"humorous",
"calm",
"pleasant",
"light sad"
] | D | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | These people, these things, like e.g. outbursts of light rain in the lake left ring watermark four scattered at each other to melt the effect of the other; just like the quiet shining star, not very bright, but made clear. They don't know how much to spend with me during the bright day and quiet night. In my memory, th... |
MMLU_train_34759 | MMLU | Those people, those things, such as bursts of light rain in the lake left ring watermark four scattered to each other to melt each other's impact; just like the quiet shining star, not very bright, but clearly made. They do not know how much to spend with me during the bright day and silent night. In my memory, the thi... | [
"humorous",
"calm",
"pleasant",
"light sad"
] | D | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | These people, such as those from the rain in the lake, left the water ring four times to melt each other's influence; just like the quiet star, not so bright, but over time, they don't know how much they spend with me during the bright day and the light night. In my memory, until the third year is not gray, because I s... |
ARC-Challenge_train_NCEOGA_2013_5_43 | ARC-Challenge | What must occur before clouds can form?
Options:
A. Water vapor must get warmer.
B. Water vapor must lose heat energy.
C. Precipitation must begin to fall and run off.
D. Transpiration must add water vapor to the atmosphere. | [
"Water vapor must get warmer.",
"Water vapor must lose heat energy.",
"Precipitation must begin to fall and run off.",
"Transpiration must add water vapor to the atmosphere."
] | B | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | What must happen before clouds can form? Options: A. Water vapour must become warmer. B. Water vapour must lose heat energy. C. Precipitation must begin to fall and run. D. Transpiration must add water vapor into the atmosphere. |
ARC-Challenge_train_NCEOGA_2013_5_43 | ARC-Challenge | What must occur before clouds can form?
Options:
A. Water vapor must get warmer.
B. Water vapor must lose heat energy.
C. Precipitation must begin to fall and run off.
D. Transpiration must add water vapor to the atmosphere. | [
"Water vapor must get warmer.",
"Water vapor must lose heat energy.",
"Precipitation must begin to fall and run off.",
"Transpiration must add water vapor to the atmosphere."
] | B | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | What should happen before the clouds are formed? Options: A. Water vapor must become warmer. B. Water vapor must lose heat. C. Acceleration must begin with fall and escape. D. Decomposition must add water vapor to the atmosphere. |
DROP_train_14334747-a606-4df4-8a5f-b46626c56a5a | DROP | On 28 April 1724, the city of Emden called on its possession Oldersum to prepare for war and arm themselves. On 2 February 1726, troops from Emden fought a battle in Leer against the princely troops. The latter were victorious. Soon afterwards, the renitent faction was condemned in an imperial decree. The conflict, how... | null | 2 | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_1 | On April 28, 1724, the city of Emden called for its possessions to prepare for war and armament. On February 2, 1726, troops from Emden fought in Leer against the princely troops. The latter were victorious. Soon after, the rebel faction was condemned in an imperial decree. However, the conflict continued and on April ... |
DROP_train_14334747-a606-4df4-8a5f-b46626c56a5a | DROP | On 28 April 1724, the city of Emden called on its possession Oldersum to prepare for war and arm themselves. On 2 February 1726, troops from Emden fought a battle in Leer against the princely troops. The latter were victorious. Soon afterwards, the renitent faction was condemned in an imperial decree. The conflict, how... | null | 2 | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_2 | On 28 April 1724, she called on the city of Aden to prepare for its war and arm itself. On 2 February 1726, soldiers from Eden fought against the forces that had won. Shortly thereafter, the backward faction was convicted of an imperial decree. However, the conflict continued. On 7 April 1726, they fought another battl... |
DROP_train_284ac686-691d-440a-b2ea-e4c3669413e3 | DROP | After a close home win over the Browns, the Steelers traveled to Baltimore to take on the Ravens on Thursday Night Football. The Ravens scored first in the first quarter when Joe Flacco found Owen Daniels on a 2-yard TD pass for a 7-0 lead. They increased their lead in the 2nd quarter as Justin Tucker nailed a 30-yar... | null | 25 | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_1 | After a close home win over the Browns, the Steelers traveled to Baltimore to football the Ravens on Thursday night. The Ravens scored first in the first quarter when Joe Flacco found Owen Daniels on a 2-yard TD pass for a 7-0 lead. They increased their lead in the second quarter as Justin Tucker nailed a 30-yard field... |
DROP_train_284ac686-691d-440a-b2ea-e4c3669413e3 | DROP | After a close home win over the Browns, the Steelers traveled to Baltimore to take on the Ravens on Thursday Night Football. The Ravens scored first in the first quarter when Joe Flacco found Owen Daniels on a 2-yard TD pass for a 7-0 lead. They increased their lead in the 2nd quarter as Justin Tucker nailed a 30-yar... | null | 25 | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_2 | In the second quarter, Justin Tucker achieved a field target of 1-10-0 lead. Finally, Stiles joined the board when Sean Sussam kicked a field target of 25 yards for a 10-3 game in the middle of the time. |
BigMath_train_cn_k12_3268 | Big-Math-RL-Verified | The sum of 100 numbers is 2001. If we subtract 1 from the first number, add 2 to the second number, subtract 3 from the third number, ..., and add 100 to the hundredth number, then the sum of the new numbers is . | null | 2051 | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_1 | The sum of 100 numbers is 2001. If we subtract 1 from the first number, add 2 to the second number, subtract 3 from the third number, ..., and add 100 to the hundredth number, then the sum of the new numbers is. |
GPQA_train_127 | GPQA | You are studying the patterns of inheritance between genes A and B on the same chromosome. They are on the same autosome and about 50 centimorgans apart. You believe they are linked, but you are not sure. The gene A codes for tail length so that the A1 allele is homozygous recessive and produces a long tail. The allele... | [
"allele A1 is not the recessive allele",
"the genes A and B are not linked",
"allele A2 is imprinted",
"B1 allele modifies A1 homozygotes"
] | D | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | They examine the genetic patterns between the genes A and B on the same chromosome. They are on the same autosome and about 50 centimorgans apart. They believe they are connected, but they are not sure. The gene A codes for tail length, making the A1 allele homozygot recessive and producing a long tail. The allele A2 i... |
GPQA_train_127 | GPQA | You are studying the patterns of inheritance between genes A and B on the same chromosome. They are on the same autosome and about 50 centimorgans apart. You believe they are linked, but you are not sure. The gene A codes for tail length so that the A1 allele is homozygous recessive and produces a long tail. The allele... | [
"allele A1 is not the recessive allele",
"the genes A and B are not linked",
"allele A2 is imprinted",
"B1 allele modifies A1 homozygotes"
] | D | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | You're studying the inheritance patterns between genes A and B on the same chromium. They're on the same automaticity and about 50 cents separate. You think they're connected, but you're not sure. Gene A symbols of tail length so that A1 Alel is a zygovian and produces a long tail tail. Alile A2 is the dominant allele ... |
BigMath_train_orca_math_2122 | Big-Math-RL-Verified | A football team lost some yards and then gained 10 yards. The team's progress is 5 yards. How many yards did the team lose initially? | null | 15 | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_1 | A football team lost a few yards and then won 10 yards. The progress of the team is 5 yards. How many yards did the team lose first? |
BigMath_train_orca_math_2122 | Big-Math-RL-Verified | A football team lost some yards and then gained 10 yards. The team's progress is 5 yards. How many yards did the team lose initially? | null | 15 | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_2 | Football team lost a few yards and then earned 10 yards. Team advanced five yards. How many yards did the team first lose? |
MMLU_train_48508 | MMLU | Monthly Talks at London Canal Museum Our monthly talks start at 19:30 on the first Thursday of each month except August. Admission is at normal charges and you don't need to book. They end around 21:00. _ th The Canal Pioneers, by Chris Lewis. James Brindley is recognized as one of the leading early canal engineers. H... | [
"February 6 th.",
"March 6 th.",
"November 7 th.",
"December 5th."
] | C | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | Monthly talks at the London Canal Museum Our monthly talks start at 7:30 pm on the first Thursday of each month except August. Admission is for normal fees and you don't need to book. They end at 9:00 pm. _ th The Canal Pioneers, by Chris Lewis. James Brindley is recognized as one of the leading early canal engineers. ... |
MMLU_train_48508 | MMLU | Monthly Talks at London Canal Museum Our monthly talks start at 19:30 on the first Thursday of each month except August. Admission is at normal charges and you don't need to book. They end around 21:00. _ th The Canal Pioneers, by Chris Lewis. James Brindley is recognized as one of the leading early canal engineers. H... | [
"February 6 th.",
"March 6 th.",
"November 7 th.",
"December 5th."
] | C | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | (a) The monthly dialogue will begin at 7.30 p.m. on the first Thursday of each month, except in August. |
BigMath_train_big_math_2466 | Big-Math-RL-Verified | A hyperbola with its foci on the y-axis has one of its asymptotes described by the equation y = (3/4)x. Calculate the eccentricity of this hyperbola. Express your answer as a fraction or decimal. | null | e = 5/3 | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_1 | A hyperbola with its foci on the y-axis has one of its asymptotes, described by the equation y = (3/4)x. Calculate the eccentricity of this hyperbola. Express your answer as a break or decimal. |
BigMath_train_big_math_2466 | Big-Math-RL-Verified | A hyperbola with its foci on the y-axis has one of its asymptotes described by the equation y = (3/4)x. Calculate the eccentricity of this hyperbola. Express your answer as a fraction or decimal. | null | e = 5/3 | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_2 | A with y-axis a with a performance of y is equal to 3/4x. calaze quequality of this hyperbola. |
DROP_train_3d68c402-bc29-4646-9fc6-99bf87e4cd72 | DROP | Coming off their last-second home win over the Raiders, the Bills flew to the Edward Jones Dome for a Week 4 interconference duel with the winless St. Louis Rams. In the first quarter, Buffalo drew first blood as kicker Rian Lindell got a 45-yard field goal. The Rams responded with WR Donnie Avery getting a 37-yard T... | null | Donnie Avery | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_1 | The Bills flew with the winless St. Louis Rams to the Edward Jones Dome for an interconference duel of week 4. In the first quarter Buffalo drew the first blood as Kicker Rian Lindell. The Rams reacted with WR Donnie Avery and received a 37-yard TD run. The Bills responded with Lindell's 35-yard field goal. In the seco... |
DROP_train_3d68c402-bc29-4646-9fc6-99bf87e4cd72 | DROP | Coming off their last-second home win over the Raiders, the Bills flew to the Edward Jones Dome for a Week 4 interconference duel with the winless St. Louis Rams. In the first quarter, Buffalo drew first blood as kicker Rian Lindell got a 45-yard field goal. The Rams responded with WR Donnie Avery getting a 37-yard T... | null | Donnie Avery | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_2 | In the first quarter, Buffalo pulled the first blood, where River Ryan Lindell obtained a 45-yard field target. In the first quarter, Rams responded to WR Done Free for 37 TD yards. In the fourth quarter, Beals completed their return with CB Jabari Greer rebar 33 yards to arrive. In the second quarter, QB Edwards incre... |
ARC-Challenge_train_LEAP_2001_4_10241 | ARC-Challenge | Which of these is a nonliving thing?
Options:
A. a mushroom
B. a tree
C. a worm
D. a river | [
"a mushroom",
"a tree",
"a worm",
"a river"
] | D | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | Which one is a non-living thing? Options: A. a fungus B. a tree C. a worm D. a river |
ARC-Challenge_train_LEAP_2001_4_10241 | ARC-Challenge | Which of these is a nonliving thing?
Options:
A. a mushroom
B. a tree
C. a worm
D. a river | [
"a mushroom",
"a tree",
"a worm",
"a river"
] | D | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | Options: A. a mushroom B. a tree C. a D. a river |
ARC-Challenge_train_Mercury_SC_LBS10915 | ARC-Challenge | According to laboratory safety guidelines, what should students do if they get chemicals in their eyes?
Options:
A. Blink several times quickly.
B. Rinse their eyes out with water.
C. Rub their eyes with paper towels.
D. Put on safety goggles. | [
"Blink several times quickly.",
"Rinse their eyes out with water.",
"Rub their eyes with paper towels.",
"Put on safety goggles."
] | B | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | What should the students do when they get chemicals in the eyes? Options: A. Blink several times fast. B. Rinse their eyes with water. C. Rub their eyes with paper cloths. D. Put on safety glasses. |
ARC-Challenge_train_Mercury_SC_LBS10915 | ARC-Challenge | According to laboratory safety guidelines, what should students do if they get chemicals in their eyes?
Options:
A. Blink several times quickly.
B. Rinse their eyes out with water.
C. Rub their eyes with paper towels.
D. Put on safety goggles. | [
"Blink several times quickly.",
"Rinse their eyes out with water.",
"Rub their eyes with paper towels.",
"Put on safety goggles."
] | B | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | According to lab safety guidelines, what should students do if they put chemicals in their eyes? Options: A. Bling several times quickly. B. |
DROP_train_4ca8225e-ba61-406a-b7af-473c597acee3 | DROP | According to the Moscow Armistice, signed by Finland and the victorious Allies, mainly the Soviet Union, the Finns were to try those who were responsible for the war and those who had committed war crimes. The Soviet Union allowed Finland to try its own war criminals, unlike other losing countries of the Second World W... | null | 723 | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_1 | According to the Moscow armistice, signed by Finland and the victorious Allies, especially the Soviet Union, the Finns were to try those who were responsible for the war and those who had committed war crimes. The Soviet Union allowed Finland to try its own war criminals, unlike other losing countries of the Second Wor... |
DROP_train_4ca8225e-ba61-406a-b7af-473c597acee3 | DROP | According to the Moscow Armistice, signed by Finland and the victorious Allies, mainly the Soviet Union, the Finns were to try those who were responsible for the war and those who had committed war crimes. The Soviet Union allowed Finland to try its own war criminals, unlike other losing countries of the Second World W... | null | 723 | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_2 | According to the memorandum of understanding signed by Finland and the victorious allies, in particular the Soviet Union, Finns had to try those responsible for war and those who committed war crimes. The Soviet Union allowed Finland to prosecute its war criminals, unlike other losing countries in World War II. The Fin... |
DROP_train_5198f374-eba6-48da-a824-ba86afc99a6f | DROP | When King Frederick II was crowned in 1559, he immediately began expanding the navy. The number of bases, yards and vessels rose rapidly and substantial resources were used for new ship designs, weaponry, training and battle tactics. Sweden, which had become an independent country, dominated a large part of the Baltic ... | null | 1 | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_1 | When King Frederick II was crowned in 1559, he immediately began the expansion of the Navy. The number of bases, shipyards and ships rose rapidly and substantial resources were used for new ship designs, weapons, training and combat tactics. Sweden, which had become an independent country, dominated a large part of the... |
DROP_train_5198f374-eba6-48da-a824-ba86afc99a6f | DROP | When King Frederick II was crowned in 1559, he immediately began expanding the navy. The number of bases, yards and vessels rose rapidly and substantial resources were used for new ship designs, weaponry, training and battle tactics. Sweden, which had become an independent country, dominated a large part of the Baltic ... | null | 1 | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_2 | When King Frederick II was translated in 1559, he immediately began to expand the Navy, the number of bases, docks and ships quickly increased and substantial resources were used in the designs of new ships, weapons, training and combat tactics. Sweden, which became an independent country, controlled a large part of th... |
DROP_train_ab68903c-50f5-4c7f-92ab-b3d11490a2e7 | DROP | With their loss against the Colts mathematically eliminating the Texans from the AFC South title, the Texans returned home in hopes of securing a wild card spot in the playoffs. In his first career start since the 2013 season, Case Keenum started as the team's 4th quarterback of the season. Despite driving into the red... | null | 16 | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_1 | With her loss against the Colts mathematically eliminates the Texans from the AFC South title, the Texans returned home hoping to secure a wild card spot in the playoffs. In his first career start since the 2013 season, Case Keenum began as the team's 4th quarterback of the season. Despite driving into the Redzone on h... |
DROP_train_ab68903c-50f5-4c7f-92ab-b3d11490a2e7 | DROP | With their loss against the Colts mathematically eliminating the Texans from the AFC South title, the Texans returned home in hopes of securing a wild card spot in the playoffs. In his first career start since the 2013 season, Case Keenum started as the team's 4th quarterback of the season. Despite driving into the red... | null | 16 | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_2 | Despite driving to the Red Zone in their first possession, Texans instead settled on a field goal for the start of 3-0 bullets. Houston's other field targets before he reached a downward target (Arian Foster) for a mid-time line of 16-0. |
BigMath_train_cn_k12_2954 | Big-Math-RL-Verified | Given that the angle between the plane vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ is $\dfrac {π}{3}$, and $|\overrightarrow{b}|=1$, $|\overrightarrow{a}+2\overrightarrow{b}|=2\sqrt {3}$, find $|\overrightarrow{a}|$. | null | 2 | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_1 | Considering that the angle between the layer vectors is $\overrightarrow{a}$ and $\overrightarrow{b}$$\dfrac {π}{3}$, and $]\overrightarrow{b} , $]\overrightarrow{a}+2\overrightarrow{b} , you will find $ ,\overrightarrow{a} ,$. |
BigMath_train_cn_k12_2954 | Big-Math-RL-Verified | Given that the angle between the plane vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ is $\dfrac {π}{3}$, and $|\overrightarrow{b}|=1$, $|\overrightarrow{a}+2\overrightarrow{b}|=2\sqrt {3}$, find $|\overrightarrow{a}|$. | null | 2 | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_2 | Given that the angle between the vectors of the aircraft is United States dollars and the United States dollar is United States dollars, United States dollars, United States dollars, United States dollars, United States dollars, United States dollars, United States dollars, United States dollars, United States dollars,... |
MMLU_train_83640 | MMLU | Birdwatching is becoming more and more popular in many parts of the world. Birdwatchers enjoy looking for and listening to different kinds of birds.To watch birds, all you need is a pair of binoculars, a field guide and love for birds. If you are just starting birdwatching, buy one of the cheaper pairs of binoculars.Yo... | [
"If we are just starting birdwatching, we can buy one of the most expensive pairs of binoculars.",
"Most of the time, we can hear birds calls from all around us and see birds easily while birdwatching.",
"We can join a birdwatching group to learn about some beginning skills.",
"We don't have to take notes abo... | C | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | Birdwatching is becoming more popular in many parts of the world. Birdwatchers like to search and listen to different kinds of birds.To observe birds, all you need is a pair of binoculars, a field guide and love for birds.When you're just starting birdwatching, buy one of the cheaper pairs of binoculars.You can better ... |
MMLU_train_83640 | MMLU | Birdwatching is becoming more and more popular in many parts of the world. Birdwatchers enjoy looking for and listening to different kinds of birds.To watch birds, all you need is a pair of binoculars, a field guide and love for birds. If you are just starting birdwatching, buy one of the cheaper pairs of binoculars.Yo... | [
"If we are just starting birdwatching, we can buy one of the most expensive pairs of binoculars.",
"Most of the time, we can hear birds calls from all around us and see birds easily while birdwatching.",
"We can join a birdwatching group to learn about some beginning skills.",
"We don't have to take notes abo... | C | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | To watch birds, all you need is a pair of glasses, a field guide and bird love. If you just start watching birds, you buy one of the cheaper pairs of binoculars. You can choose better when your needs and skills grow. |
DROP_train_ed7084d2-2b9c-4047-90ef-8f8e5d6ffa52 | DROP | For Week 2, the Bills traveled to Dolphin Stadium to take on the second of their three divisional rivals, the Miami Dolphins. The Bills managed to get the only score of the first half, a 33-yard field goal by kicker Rian Lindell in the first quarter. It wasn't until the third quarter that the Bills were to score again ... | null | 23 | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_1 | For week 2, the Bills traveled to Dolphin Stadium to take over the second of their three division rivals, the Miami Dolphins. The Bills managed to get the only score of the first half, a 33-yard field goal from Kicker Rian Lindell in the first quarter. Only in the third quarter, the Bills were again scored when Quarter... |
DROP_train_ed7084d2-2b9c-4047-90ef-8f8e5d6ffa52 | DROP | For Week 2, the Bills traveled to Dolphin Stadium to take on the second of their three divisional rivals, the Miami Dolphins. The Bills managed to get the only score of the first half, a 33-yard field goal by kicker Rian Lindell in the first quarter. It wasn't until the third quarter that the Bills were to score again ... | null | 23 | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_2 | For the second week, bills travelled to Dolphin Stademen to take the second of its three split rivals, B. Losman threw a four-yard pass to Josh Reed, while Lyndell kicked a pair of FGs, 45 yards, and 43 yards. Although Dolphin was able to register in the fourth quarter on a 23-yard pass from Dante Colpeper to Chris Cha... |
MMLU_train_85356 | MMLU | On Saturday Patrick woke up with a little shock, knowing that this was a special day. For a moment he couldn't think exactly why, and then, with an excited flutter of his stomach, he remembered. At ten o'clock today he was going to find out the final result of the programme called Super Brain. He got dressed more caref... | [
"She felt happy with his request.",
"She felt sad about his request.",
"She felt surprised at his request.",
"She was not satisfied with his request."
] | D | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | On Saturday Patrick woke up with a little shock, knowing that this was a special day. For a moment he could not think exactly why, and then, with an excited fluttering of his stomach, he remembered. At ten o'clock today he wanted to find out the final result of the program called Super Brain. He was dressed more carefu... |
MMLU_train_85356 | MMLU | On Saturday Patrick woke up with a little shock, knowing that this was a special day. For a moment he couldn't think exactly why, and then, with an excited flutter of his stomach, he remembered. At ten o'clock today he was going to find out the final result of the programme called Super Brain. He got dressed more caref... | [
"She felt happy with his request.",
"She felt sad about his request.",
"She felt surprised at his request.",
"She was not satisfied with his request."
] | D | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | He wore his clothes more carefully than usual, then went downstairs, and then turned on the TV. At the moment he couldn't think why, then, with his stomach in trouble? At 10:00 today, he was going to find the final result of the show called "SuperBryan." |
MMLU_train_89579 | MMLU | Now, I'm studying in the US. I find there are some differences between schools in the US and in Vietnam. One big difference is the clothes students wear at school and how they look. In my country, all the students should wear uniforms when they go to school. Boys aren't allowed to have long hair. Girls aren't allowed t... | [
"In the US, students don't have such strict rules as the Vietnamese students.",
"The students in Vietnam can move to a different classroom for classes.",
"At the end of a school year, parents in Vietnam have to go to a parents' meeting.",
"In America, all students go to work after school."
] | A | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | Well, I study in the U.S.. I find there are some differences between schools in the U.S. and Vietnam. A big difference is the clothes students wear in school and how they look. In my country, all students should wear uniforms when they go to school. Boys are not allowed to have long hair. Girls may not have long or col... |
DROP_train_6a15fa76-3e00-4053-9907-8d34e74f70c9 | DROP | As of the census of 2010, there were 47,723 people, 17,816 households, and 11,722 families residing in the city. The population density was 1,754.6/sq mi (677.5/km²). There were 19,806 housing units at an average density of 749.9 per square mile (289.6/km²). The racial makeup of the city was 38.32% White (U.S. Census... | null | 42.75 | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_1 | As of the census of 2010, there were 47,723 people, 17,816 households, and 11,722 families residing in the city. The racial makeup of the city was 1,754.6/sq mi (677.5/km2). There were 19,806 households, with an average density of 289.6 per square mile. The racial makeup of the city was 38.32% White, 57.25% African Ame... |
DROP_train_6a15fa76-3e00-4053-9907-8d34e74f70c9 | DROP | As of the census of 2010, there were 47,723 people, 17,816 households, and 11,722 families residing in the city. The population density was 1,754.6/sq mi (677.5/km²). There were 19,806 housing units at an average density of 749.9 per square mile (289.6/km²). The racial makeup of the city was 38.32% White (U.S. Census... | null | 42.75 | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_2 | At the 2010 census, there were 47,723 persons, 1,816 households and 11,722 households residing in the city, with an average population density of 1,754 per cent, on average 749.9 per square kilometre (289.6 per square kilometre), a population density of 19,806 housing units with an average density of 749.9 per square m... |
MMLU_train_66780 | MMLU | Those who are used to looking through thousands of books in big bookstores may find Japan's Morioka Shoten a little strange. That's because this tiny bookstore that is located in Ginza, Tokyo sells only a single book at a time. Opened in May 2015, Morioka Shoten is the brainchild of Yoshiyuki Morioka. The experienced b... | [
"Risky",
"Optimistic",
"Unpredictable",
"Hopeless"
] | B | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | For those who are used to looking through thousands of books in large bookstores, he can find Japan's Morioka Shoten a little strange. That's because this tiny bookstore located in Ginza, Tokyo, sells only a single book at a time. Opened in May 2015, Morioka Shoten is the brainchild of Yoshiyuki Morioka. The experience... |
MMLU_train_66780 | MMLU | Those who are used to looking through thousands of books in big bookstores may find Japan's Morioka Shoten a little strange. That's because this tiny bookstore that is located in Ginza, Tokyo sells only a single book at a time. Opened in May 2015, Morioka Shoten is the brainchild of Yoshiyuki Morioka. The experienced b... | [
"Risky",
"Optimistic",
"Unpredictable",
"Hopeless"
] | B | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | The expert book salesman began his career as a writer in the Kanda Tokyo district before he opened his shop. He was here to organize reading books where he realized that customers usually come to the store with a single address in mind. |
DROP_train_69fa3ebe-f969-4e9e-a509-8cf77de336a2 | DROP | The main economic source of the municipality is centered in the Tertiary sector of the economy, with its diversified segments of commerce and service rendering. Next, the secondary sector stands out, with the industrial complexes. In 2012, the percentage contribution of each sector to the municipal economy was 0.07%, 1... | null | 68.73 | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_1 | The main economic source of the municipality is the tertiary sector of the economy, with its diversified segments of trade and the provision of services. Next, the secondary sector with industrial complexes is distinguished. In 2012, the percentage contribution of each sector to the municipal economy amounted to 0.07%,... |
DROP_train_69fa3ebe-f969-4e9e-a509-8cf77de336a2 | DROP | The main economic source of the municipality is centered in the Tertiary sector of the economy, with its diversified segments of commerce and service rendering. Next, the secondary sector stands out, with the industrial complexes. In 2012, the percentage contribution of each sector to the municipal economy was 0.07%, 1... | null | 68.73 | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_2 | The main economic source of the municipality is concentrated in the third economic sector, with a variety of trade and services sectors. The secondary sector is highlighted with industrial complexes. In 2012, each sector ' s contribution to the municipal economy was 0.07 per cent, 15.8 per cent and 68.8 per cent, ... |
BigMath_train_orca_math_287 | Big-Math-RL-Verified | Lars owns a bakeshop. She can bake some loaves of bread within an hour and 30 baguettes every 2 hours. If she bakes 6 hours a day, she makes 150 breads. How many loaves of bread can she bake within an hour? | null | 10 | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_1 | Lars owns a bakery. She can bake bread and 30 baguettes every 2 hours within an hour. If she bakes 6 hours a day, she makes 150 loaves. How many loaves can she bake within an hour? |
BigMath_train_orca_math_287 | Big-Math-RL-Verified | Lars owns a bakeshop. She can bake some loaves of bread within an hour and 30 baguettes every 2 hours. If she bakes 6 hours a day, she makes 150 breads. How many loaves of bread can she bake within an hour? | null | 10 | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_2 | If they bake 6 hours a day, they make 150 bread. And how many bread loafs can they bake in an hour? |
DROP_train_01e0f464-f8b8-40f1-a9fb-c792e8fbfa19 | DROP | The 1940 Chicago Bears team holds the record for the biggest margin of victory in an NFL game (NFL playoffs or regular season) with a 73–0 victory over the Washington Redskins in the 1940 NFL Championship Game. The largest home victory for the Bears came in a 61–7 result against the Green Bay Packers in 1980. The large... | null | Halas | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_1 | The 1940 Chicago Bears team holds the record for the biggest victory margin in an NFL game (NFL playoffs or regular season) with a 73–0 win over the Washington Redskins in the NFL Championship Game 1940. The biggest home win for the Bears came in a 61–7 result against the Green Bay Packers in 1980. The biggest defeat i... |
DROP_train_01e0f464-f8b8-40f1-a9fb-c792e8fbfa19 | DROP | The 1940 Chicago Bears team holds the record for the biggest margin of victory in an NFL game (NFL playoffs or regular season) with a 73–0 victory over the Washington Redskins in the 1940 NFL Championship Game. The largest home victory for the Bears came in a 61–7 result against the Green Bay Packers in 1980. The large... | null | Halas | Input: a passage followed by a question.
Expected output: a concise value extracted/derived from the passage.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <ANSWER> | Reason briefly from the passage, then return a short exact answer. End with: ### <ANSWER> | backward_translation_2 | The biggest victory in the country was 61-7 against the Green Bay Group in 1980. The biggest defeat in the history of the club was the loss of 52-0 in the history of the club against Colts in 1964. The club recorded two undefeated regular seasons in 1934 and 1942, but (as opposed to Dolphin 1972) did not win the champi... |
BigMath_train_orca_math_2387 | Big-Math-RL-Verified | Jane is sewing sequins onto her trapeze artist costume. She sews 6 rows of 8 blue sequins each, 5 rows of 12 purple sequins each, and some rows of 6 green sequins each. She adds a total of 162 sequins. How many rows of green sequins does she sew? | null | 9 | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_1 | Jane sequins sequins on her trapezoidal artist costume. She sequins 6 rows each of 8 blue sequins, 5 rows each of 12 purple sequins and some rows each of 6 green sequins. She adds a total of 162 sequins. How many rows of green sequins sequins does she sewn? |
BigMath_train_orca_math_2387 | Big-Math-RL-Verified | Jane is sewing sequins onto her trapeze artist costume. She sews 6 rows of 8 blue sequins each, 5 rows of 12 purple sequins each, and some rows of 6 green sequins each. She adds a total of 162 sequins. How many rows of green sequins does she sew? | null | 9 | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_2 | Jane stitches on her art uniform, sews six rows of eight blues each, five rows of 12 purple letters each, and some rows of six green lines each, add a total of 162 plans. |
MMLU_train_76543 | MMLU | Dear friends, My name is Tony. I am English. I am twelve years old this year. I am tall, and I am good at playing football. I am in Grade Seven. There are thirty boys and twenty girls in my class. We are learning Chinese in our school. Our Chinese teacher is Mr. Wu. He is a little short, but he is very strong. He is ve... | [
"20.",
"30.",
"52.",
"50."
] | D | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | Dear friends, my name is Tony. I'm English. I'm twelve years old this year. I'm tall, and I'm good at playing football. I'm in grade seven. There are thirty boys and twenty girls in my class. We learn Chinese in our school. Our Chinese teacher is Mr. Wu. He's a little short, but he's very strong. He's very nice to us. ... |
MMLU_train_76543 | MMLU | Dear friends, My name is Tony. I am English. I am twelve years old this year. I am tall, and I am good at playing football. I am in Grade Seven. There are thirty boys and twenty girls in my class. We are learning Chinese in our school. Our Chinese teacher is Mr. Wu. He is a little short, but he is very strong. He is ve... | [
"20.",
"30.",
"52.",
"50."
] | D | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | My friends, my name is Tony, I'm English, I'm 12 this year. I'm tall, and I'm good at playing football. I'm in seventh grade. There are 30 boys and 20 girls in my class. We're learning Chinese in our school. |
BigMath_train_orca_math_319 | Big-Math-RL-Verified | A chef needs to cook some potatoes. He has already cooked 8. If each potato takes 9 minutes to cook, it will take him 63 minutes to cook the rest. How many potatoes does the chef need to cook in total? | null | 15 | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_1 | A cook must cook some potatoes. He has already cooked 8. If each potato lasts 9 minutes to cook, it takes 63 minutes to cook the rest. How many potatoes does the cook have to cook overall? |
BigMath_train_orca_math_319 | Big-Math-RL-Verified | A chef needs to cook some potatoes. He has already cooked 8. If each potato takes 9 minutes to cook, it will take him 63 minutes to cook the rest. How many potatoes does the chef need to cook in total? | null | 15 | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_2 | How should some of the humans be cooked? |
MMLU_train_82963 | MMLU | One day, little Mike's mother went to the river to do some washing.Before she left, she said to him: "Mike,while I am away, stay near the door and watch it all the time! "She said this because she was afraid of the thieves. Mike sat down beside the door.After an hour,one of his uncles came.He asked Mike, "Where is your... | [
"One.",
"Two.",
"Three.",
"We don't know."
] | D | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_1 | One day, Mike's little mother went to the river to wash something.Before she left, she said to him, "Mike, while I'm away, stay close to the door and watch it all the time! "She said this because she was afraid of the thieves. Mike sat next to the door.After an hour, one of his uncles came.He asked Mike, "Where's your ... |
MMLU_train_82963 | MMLU | One day, little Mike's mother went to the river to do some washing.Before she left, she said to him: "Mike,while I am away, stay near the door and watch it all the time! "She said this because she was afraid of the thieves. Mike sat down beside the door.After an hour,one of his uncles came.He asked Mike, "Where is your... | [
"One.",
"Two.",
"Three.",
"We don't know."
] | D | Input: a question flowed by choices: list labeled A, B, C, ….
Expected output: the single best option letter.
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <LETTER> | Reason briefly, then return only the option letter. End with: ### <LETTER> | backward_translation_2 | One day, Mike's little mom went to the river to do some laundry. Before she left, she said, "Mike, while I'm away, stay close to the door and watch it all the time!" She said that because she was afraid of thieves. Mike sat next to the door. An hour later, one of his uncles came. Mike asked, "Where's your mom?" "I went... |
BigMath_train_olympiads_2138 | Big-Math-RL-Verified | In a chess tournament, two 7th-grade students and some number of 8th-grade students participated. Each participant played against every other participant exactly once. The two 7th-grade students together scored 8 points, and all the 8th-grade students scored the same number of points (in the tournament, each participan... | null | 7 | Input: a quantitative problem that requires calculation.
Expected output: a single numeric value (no units unless required by the problem), if you need to convey a fraction use \frac{\sqrt....
Think step by step briefly, focusing only on essential reasoning.
Finally output only the final answer on a new line as: ### <N... | Reason briefly, compute carefully, then return only the number. End with: ### <NUMBER> | backward_translation_1 | In a chess tournament, two 7th grade students and some 8th grade students participated. Each participant played against each other exactly once. The 7th grade students scored 8 points together, and all 8th grade students scored the same number of points (in the tournament, each participant gets 1 point for a win and $1... |
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