prompt string | prompt_id string | chosen list | rejected list | messages list | id string | task string | dataset string | n_turns int64 | reward_score_chosen float64 | reward_score_rejected float64 | reward_margin float64 | is_difficult int64 | score_chosen float64 | score_rejected float64 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
Our school's girls volleyball team has 14 players, including a set of 3 triplets: Alicia, Amanda, and Anna. In how many ways can we choose 6 starters if exactly one of the triplets... | 7cf940f14ef4c2f25b1ef72786f416cfc1217f38c8faca5d523b499cc3007a84 | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nOur school's girls volleyball team has 14 players, including a set of 3 triplets: Alicia, Amanda, and Anna. In how many ways can we choose 6 starters if ex... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nOur school's girls volleyball team has 14 players, including a set of 3 triplets: Alicia, Amanda, and Anna. In how many ways can we choose 6 starters if ex... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nOur school's girls volleyball team has 14 players, including a set of 3 triplets: Alicia, Amanda, and Anna. In how many ways can we choose 6 starters if ex... | 7cf940f14ef4c2f25b1ef72786f416cfc1217f38c8faca5d523b499cc3007a84_5_4 | Math_CoT | MATH | 7 | 23.625 | -32.25 | 55.875 | 0 | 23.625 | -32.25 |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
Next year, there will be twice as many people going to the fair as are going this year, and the number of people who went to the fair last year was 200 less than those going next ye... | e4b31f400feb1e56d7fdfbb83e8b643fa6e167afa6446d1e9ed35013f9c3bef7 | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nNext year, there will be twice as many people going to the fair as are going this year, and the number of people who went to the fair last year was 200 less... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nNext year, there will be twice as many people going to the fair as are going this year, and the number of people who went to the fair last year was 200 less... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nNext year, there will be twice as many people going to the fair as are going this year, and the number of people who went to the fair last year was 200 less... | e4b31f400feb1e56d7fdfbb83e8b643fa6e167afa6446d1e9ed35013f9c3bef7_5_2 | Math_CoT | gsm8k | 3 | 30.875 | -21.125 | 52 | 0 | 30.875 | -21.125 |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
Cathy and Chris got summer jobs at the cake shop and were supposed to work 20 hours per week each for 2 months. During that time, Chris got sick for one week and Cathy took her shif... | 2f55044dc7018c1739c78c11114b00d0e51847d28d98d5618e5b3ee77500c7b6 | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nCathy and Chris got summer jobs at the cake shop and were supposed to work 20 hours per week each for 2 months. During that time, Chris got sick for one wee... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nCathy and Chris got summer jobs at the cake shop and were supposed to work 20 hours per week each for 2 months. During that time, Chris got sick for one wee... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nCathy and Chris got summer jobs at the cake shop and were supposed to work 20 hours per week each for 2 months. During that time, Chris got sick for one wee... | 2f55044dc7018c1739c78c11114b00d0e51847d28d98d5618e5b3ee77500c7b6_2_2 | Math_CoT | gsm8k | 3 | 25.625 | -25.375 | 51 | 0 | 25.625 | -25.375 |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
The number of cards in a card game was 500. Two friends Ellis and Orion, playing together, divided the cards in the ratio of 11:9. How many more cards did Ellis get than Orion? | a06a0845908a96bfa1e6edd3a3df77a8bcb6cdbd8911f27016a5969cc0cd47d6 | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nThe number of cards in a card game was 500. Two friends Ellis and Orion, playing together, divided the cards in the ratio of 11:9. How many more cards did E... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nThe number of cards in a card game was 500. Two friends Ellis and Orion, playing together, divided the cards in the ratio of 11:9. How many more cards did E... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nThe number of cards in a card game was 500. Two friends Ellis and Orion, playing together, divided the cards in the ratio of 11:9. How many more cards did E... | a06a0845908a96bfa1e6edd3a3df77a8bcb6cdbd8911f27016a5969cc0cd47d6_2_2 | Math_CoT | gsm8k | 3 | 31.75 | -16.75 | 48.5 | 0 | 31.75 | -16.75 |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
Ursula bought five hot dogs at $1.50 each and three salads at $2.50 each. If she had two $10 bills, how much change did she get back? | c549e98e4f9b1bb2628e06e838f9319366cdad16efc85c717b4b876288e07f79 | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nUrsula bought five hot dogs at $1.50 each and three salads at $2.50 each. If she had two $10 bills, how much change did she get back?",
"role": "user"
... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nUrsula bought five hot dogs at $1.50 each and three salads at $2.50 each. If she had two $10 bills, how much change did she get back?",
"role": "user"
... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nUrsula bought five hot dogs at $1.50 each and three salads at $2.50 each. If she had two $10 bills, how much change did she get back?",
"role": "user"
... | c549e98e4f9b1bb2628e06e838f9319366cdad16efc85c717b4b876288e07f79_1_1 | Math_CoT | gsm8k | 1 | 25.875 | -21.75 | 47.625 | 0 | 25.875 | -21.75 |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
There are 13 animals in a farm. Out of the 13 animals, 4 are chickens and remaining are buffalos. How many animal legs are there in the farm? | ac4c1c81f54928f4d82deaa34078de891e1d3faf55f944093cc8da33c5582421 | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nThere are 13 animals in a farm. Out of the 13 animals, 4 are chickens and remaining are buffalos. How many animal legs are there in the farm?",
"role": ... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nThere are 13 animals in a farm. Out of the 13 animals, 4 are chickens and remaining are buffalos. How many animal legs are there in the farm?",
"role": ... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nThere are 13 animals in a farm. Out of the 13 animals, 4 are chickens and remaining are buffalos. How many animal legs are there in the farm?",
"role": ... | ac4c1c81f54928f4d82deaa34078de891e1d3faf55f944093cc8da33c5582421_1_1 | Math_CoT | numglue | 1 | 21 | -25.625 | 46.625 | 0 | 21 | -25.625 |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
Frank needs to meet a quota at work for his sales. It’s the beginning of the month and in 30 days he needs to have 50 cars sold. The first three days he sold 5 cars each day. Then t... | 713ed26f1974acce248e017f3836c09133c6a0b97c7eeeeb258e7bdf15fb3f66 | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nFrank needs to meet a quota at work for his sales. It’s the beginning of the month and in 30 days he needs to have 50 cars sold. The first three days he sol... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nFrank needs to meet a quota at work for his sales. It’s the beginning of the month and in 30 days he needs to have 50 cars sold. The first three days he sol... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nFrank needs to meet a quota at work for his sales. It’s the beginning of the month and in 30 days he needs to have 50 cars sold. The first three days he sol... | 713ed26f1974acce248e017f3836c09133c6a0b97c7eeeeb258e7bdf15fb3f66_3_3 | Math_CoT | gsm8k | 5 | 26.75 | -18.625 | 45.375 | 0 | 26.75 | -18.625 |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
Let $F(x)$ be a polynomial such that $F(6) = 15$ and\[\frac{F(3x)}{F(x+3)} = 9-\frac{48x+54}{x^2+5x+6}\]for $x \in \mathbb{R}$ such that both sides are defined. Find $F(12)$. | b0c6f65f23b1bd207f0d583d1a63499f5a76ab2f02882892e65c9ee1f220ea4b | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nLet $F(x)$ be a polynomial such that $F(6) = 15$ and\\[\\frac{F(3x)}{F(x+3)} = 9-\\frac{48x+54}{x^2+5x+6}\\]for $x \\in \\mathbb{R}$ such that both sides ar... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nLet $F(x)$ be a polynomial such that $F(6) = 15$ and\\[\\frac{F(3x)}{F(x+3)} = 9-\\frac{48x+54}{x^2+5x+6}\\]for $x \\in \\mathbb{R}$ such that both sides ar... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nLet $F(x)$ be a polynomial such that $F(6) = 15$ and\\[\\frac{F(3x)}{F(x+3)} = 9-\\frac{48x+54}{x^2+5x+6}\\]for $x \\in \\mathbb{R}$ such that both sides ar... | 179039f9f3fe76d239c864a993975421cc94a7063b898418cd99e641817051f0_1_1 | Math_CoT | MATH | 1 | 24.125 | -20.75 | 44.875 | 0 | 24.125 | -20.75 |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
Andy works in the pro shop at a tennis resort, where he earns $9 an hour. In addition to this, he gets paid $15 for each racquet he restrings, $10 for changing out the grommets on a... | 29a0635284ef0b9f104908c809791ac6563b55217088d3d51742121ce3e42140 | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nAndy works in the pro shop at a tennis resort, where he earns $9 an hour. In addition to this, he gets paid $15 for each racquet he restrings, $10 for chang... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nAndy works in the pro shop at a tennis resort, where he earns $9 an hour. In addition to this, he gets paid $15 for each racquet he restrings, $10 for chang... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nAndy works in the pro shop at a tennis resort, where he earns $9 an hour. In addition to this, he gets paid $15 for each racquet he restrings, $10 for chang... | 29a0635284ef0b9f104908c809791ac6563b55217088d3d51742121ce3e42140_1_1 | Math_CoT | gsm8k | 1 | 33.5 | -10.5 | 44 | 0 | 33.5 | -10.5 |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
The roots of the equation $2x^2-mx+n=0$ sum to 6 and multiply to 10. What is the value of $m+n$? | 30f590b851107c6e21414e92a1a5d8092eeb5588709f7febfe436d847565d697 | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nThe roots of the equation $2x^2-mx+n=0$ sum to 6 and multiply to 10. What is the value of $m+n$?",
"role": "user"
},
{
"content": "Step 1: We ca... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nThe roots of the equation $2x^2-mx+n=0$ sum to 6 and multiply to 10. What is the value of $m+n$?",
"role": "user"
},
{
"content": "Step 1: We ca... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nThe roots of the equation $2x^2-mx+n=0$ sum to 6 and multiply to 10. What is the value of $m+n$?",
"role": "user"
},
{
"content": "Step 1: We ca... | 30f590b851107c6e21414e92a1a5d8092eeb5588709f7febfe436d847565d697_5_5 | Math_CoT | MATH | 9 | 28 | -15.9375 | 43.9375 | 0 | 28 | -15.9375 |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
thirty percent of the members of a swim club have passed the lifesaving test . among the members who havenotpassed the test , 40 have taken the preparatory course and 30 have not ta... | 042b468c6396aceb77acf819d15059214b1b920c71c64df600d7ee2f402b5381 | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nthirty percent of the members of a swim club have passed the lifesaving test . among the members who havenotpassed the test , 40 have taken the preparatory ... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nthirty percent of the members of a swim club have passed the lifesaving test . among the members who havenotpassed the test , 40 have taken the preparatory ... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nthirty percent of the members of a swim club have passed the lifesaving test . among the members who havenotpassed the test , 40 have taken the preparatory ... | 042b468c6396aceb77acf819d15059214b1b920c71c64df600d7ee2f402b5381_3_3 | Math_CoT | mathqa | 5 | 28.625 | -14.9375 | 43.5625 | 0 | 28.625 | -14.9375 |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
Johnny has been playing guitar for a while now. He practices the same amount each day. As of 20 days ago he had half as much practice as he has currently. How many days will pass ... | b74a67accd33ee6b6320512ac108d105750f807acbefa7eb80fa62d8a7d5d5d7 | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nJohnny has been playing guitar for a while now. He practices the same amount each day. As of 20 days ago he had half as much practice as he has currently. ... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nJohnny has been playing guitar for a while now. He practices the same amount each day. As of 20 days ago he had half as much practice as he has currently. ... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nJohnny has been playing guitar for a while now. He practices the same amount each day. As of 20 days ago he had half as much practice as he has currently. ... | b74a67accd33ee6b6320512ac108d105750f807acbefa7eb80fa62d8a7d5d5d7_5_5 | Math_CoT | gsm8k | 9 | 14.5 | -29 | 43.5 | 0 | 14.5 | -29 |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
the length of rectangle is thrice its breadth and its perimeter is 40 m , find the area of the rectangle ? | 5a1401f2c23fc9688ef6a39bf4400dbe2601b2a666ae5f8fd4882b24017791fe | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nthe length of rectangle is thrice its breadth and its perimeter is 40 m , find the area of the rectangle ?",
"role": "user"
},
{
"content": "Ste... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nthe length of rectangle is thrice its breadth and its perimeter is 40 m , find the area of the rectangle ?",
"role": "user"
},
{
"content": "Ste... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nthe length of rectangle is thrice its breadth and its perimeter is 40 m , find the area of the rectangle ?",
"role": "user"
},
{
"content": "Ste... | 5a1401f2c23fc9688ef6a39bf4400dbe2601b2a666ae5f8fd4882b24017791fe_3_3 | Math_CoT | mathqa | 5 | 29.5 | -13.9375 | 43.4375 | 0 | 29.5 | -13.9375 |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
In a right-angled triangle, the sum of the squares of the three side lengths is 1800. What is the length of the hypotenuse of this triangle? | 1c65b1fe50eaed2ad6233b5ea7a69c842765130baa54e2ec9ac2b2af6ada2d65 | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nIn a right-angled triangle, the sum of the squares of the three side lengths is 1800. What is the length of the hypotenuse of this triangle?",
"role": ... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nIn a right-angled triangle, the sum of the squares of the three side lengths is 1800. What is the length of the hypotenuse of this triangle?",
"role": ... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nIn a right-angled triangle, the sum of the squares of the three side lengths is 1800. What is the length of the hypotenuse of this triangle?",
"role": ... | 1c65b1fe50eaed2ad6233b5ea7a69c842765130baa54e2ec9ac2b2af6ada2d65_5_4 | Math_CoT | MATH | 7 | 27.875 | -15.5625 | 43.4375 | 0 | 27.875 | -15.5625 |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
Given that $2^x+ 2^x+ 2^x+ 2^x= 128$, what is the value of $(x + 1)(x - 1)$? | a2ba829ebcd0c398e28bf1fcff8ab6cb5af158adf4b90f07366ec2e37735fd2d | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nGiven that $2^x+ 2^x+ 2^x+ 2^x= 128$, what is the value of $(x + 1)(x - 1)$?",
"role": "user"
},
{
"content": "Step 1: Let's simplify the equati... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nGiven that $2^x+ 2^x+ 2^x+ 2^x= 128$, what is the value of $(x + 1)(x - 1)$?",
"role": "user"
},
{
"content": "Step 1: I see that there are four... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nGiven that $2^x+ 2^x+ 2^x+ 2^x= 128$, what is the value of $(x + 1)(x - 1)$?",
"role": "user"
},
{
"content": "Step 1: Let's simplify the equati... | a2ba829ebcd0c398e28bf1fcff8ab6cb5af158adf4b90f07366ec2e37735fd2d_1_1 | Math_CoT | MATH | 1 | 25 | -17.625 | 42.625 | 0 | 25 | -17.625 |
Solve the following math problem step-by-step.
Simplify your answer as much as possible. Present your final answer as \boxed{Your Answer}.
A squirrel had stashed 210 acorns to last him the three winter months. It divided the pile into thirds, one for each month, and then took some from each third, leaving 60 acorns for... | d712e79a03deba0778f93558144f4c97d6cccc45c61497aeca43a0328f94f9a0 | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nA squirrel had stashed 210 acorns to last him the three winter months. It divided the pile into thirds, one for each month, and then took some from each thi... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nA squirrel had stashed 210 acorns to last him the three winter months. It divided the pile into thirds, one for each month, and then took some from each thi... | [
{
"content": "Solve the following math problem step-by-step.\nSimplify your answer as much as possible. Present your final answer as \\boxed{Your Answer}.\nA squirrel had stashed 210 acorns to last him the three winter months. It divided the pile into thirds, one for each month, and then took some from each thi... | d712e79a03deba0778f93558144f4c97d6cccc45c61497aeca43a0328f94f9a0_3_3 | Math_CoT | gsm8k | 5 | 27.125 | -15.375 | 42.5 | 0 | 27.125 | -15.375 |
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