dialogue listlengths 2 12 | problem_id stringlengths 7 12 | problem stringlengths 15 2.6k | expected_answer stringlengths 1 359 | num_revisions int64 0 3 | final_correct bool 2
classes | error_types_addressed listlengths 0 3 | has_final_confirmation bool 2
classes |
|---|---|---|---|---|---|---|---|
[
{
"content": "You are a student working on mathematical problems. Show your step-by-step reasoning and provide the final answer within \\boxed{}.",
"role": "system"
},
{
"content": "There are 50 marbles in a box which has a mixture of white, red and blue marbles. There were originally 20 white marbl... | train_92149 | There are 50 marbles in a box which has a mixture of white, red and blue marbles. There were originally 20 white marbles and a certain number of red and blue marbles. Jack removes a number of marbles equal to double the difference between the number of white marbles and the number of blue marbles. There are 40 marbles ... | 1:1 | 3 | false | [
"conceptual",
"conceptual",
"conceptual"
] | false |
[
{
"content": "You are a student working on mathematical problems. Show your step-by-step reasoning and provide the final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Bob is tilling a plot of his garden. The plot is a certain width by 120 feet long. His tiller digs a swath two feet wi... | train_133218 | Bob is tilling a plot of his garden. The plot is a certain width by 120 feet long. His tiller digs a swath two feet wide, and he can till 1 foot of ground in about 2 seconds. It takes him 220 minutes to till this plot of land. What is the width of the plot? | 110 | 0 | true | [] | true |
[
{
"content": "You are a student working on mathematical problems. Show your step-by-step reasoning and provide the final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Jasmine gets off of work at 4:00 pm. After that, it will take her 30 minutes to commute home, 30 minutes to grocery sh... | train_116290 | Jasmine gets off of work at 4:00 pm. After that, it will take her 30 minutes to commute home, 30 minutes to grocery shop, 10 minutes to pick up the dry cleaning, some time to pick up the dog from the groomers and 90 minutes to cook dinner when she returns home. She will eat dinner at 7:00 pm. How long does it take Jasm... | 20 | 3 | true | [
"general",
"structural",
"structural"
] | true |
[
{
"content": "You are a student working on mathematical problems. Show your step-by-step reasoning and provide the final answer within \\boxed{}.",
"role": "system"
},
{
"content": "The range of the function f(x) = x^2^ - 4x (-1 ≤ x ≤ a) is [-4, 5]. What is the range of the real number a?\n\nSolve t... | train_54779 | The range of the function f(x) = x^2^ - 4x (-1 ≤ x ≤ a) is [-4, 5]. What is the range of the real number a? | [2, 5] | 3 | false | [
"conceptual",
"conceptual",
"general"
] | false |
[
{
"content": "You are a student working on mathematical problems. Show your step-by-step reasoning and provide the final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Evaluate the expression: | 9 - some_number ( 3 - 12 ) | - | 5 - 11 |. The result is 75. What is the missing number?\n\... | train_75235 | Evaluate the expression: | 9 - some_number ( 3 - 12 ) | - | 5 - 11 |. The result is 75. What is the missing number? | 8 | 3 | true | [
"conceptual",
"structural",
"computational"
] | true |
[
{
"content": "You are a student working on mathematical problems. Show your step-by-step reasoning and provide the final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Teacher Zhang brought some money to buy pens. After arriving at the store, he discovered that the pens were discounted... | train_151843 | Teacher Zhang brought some money to buy pens. After arriving at the store, he discovered that the pens were discounted by 25%, and the money he brought was just enough to buy 25 more pens than originally expected. How many pens could he have bought with this money before the discount? | 75 | 0 | true | [] | true |
[
{
"content": "You are a student working on mathematical problems. Show your step-by-step reasoning and provide the final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Find the coefficient of the $x^3$ term in the expansion of $((x+1)(x-2)^{5})$.\n\nSolve this step-by-step and put your... | train_26757 | Find the coefficient of the $x^3$ term in the expansion of $((x+1)(x-2)^{5})$. | -40 | 0 | true | [] | true |
[
{
"content": "You are a student working on mathematical problems. Show your step-by-step reasoning and provide the final answer within \\boxed{}.",
"role": "system"
},
{
"content": "The volume of a cylinder with both the diameter and height of 4cm is \\_\\_\\_\\_\\_\\_ cm<sup>3</sup>.\n\nSolve this ... | train_54541 | The volume of a cylinder with both the diameter and height of 4cm is \_\_\_\_\_\_ cm<sup>3</sup>. | 16\pi | 0 | true | [] | true |
[
{
"content": "You are a student working on mathematical problems. Show your step-by-step reasoning and provide the final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Calculate how many days it will take for 8 boys to paint a certain length of wall if 6 boys can paint a 60 m long wall... | train_84409 | Calculate how many days it will take for 8 boys to paint a certain length of wall if 6 boys can paint a 60 m long wall in 5 days. The 8 boys take 3.125 days to paint the wall. How long is the wall they are painting? | 50 | 3 | false | [
"conceptual",
"conceptual",
"conceptual"
] | false |
[
{
"content": "You are a student working on mathematical problems. Show your step-by-step reasoning and provide the final answer within \\boxed{}.",
"role": "system"
},
{
"content": "A jogger is running at 9 kmph alongside a railway track in 240 meters ahead of the engine of a train. The train is run... | train_85946 | A jogger is running at 9 kmph alongside a railway track in 240 meters ahead of the engine of a train. The train is running at 45 kmph in the same direction and has a certain length. It takes 36 seconds for the train to pass the jogger. What is the length of the train in meters? | 120 | 2 | true | [
"conceptual",
"conceptual"
] | true |
[
{
"content": "You are a student working on mathematical problems. Show your step-by-step reasoning and provide the final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Let \\( x \\) and \\( y \\) be real numbers such that\n\\[\n\\left\\{\n\\begin{array}{l}\n(x-1)^{3}+2015(x-1)=-1, \\\\... | train_170559 | Let \( x \) and \( y \) be real numbers such that
\[
\left\{
\begin{array}{l}
(x-1)^{3}+2015(x-1)=-1, \\
(y-1)^{3}+2015(y-1)=1.
\end{array}
\right.
\]
Find \( x + y \). | 2 | 3 | true | [
"conceptual",
"conceptual",
"conceptual"
] | true |
[
{
"content": "You are a student working on mathematical problems. Show your step-by-step reasoning and provide the final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Given the curve $y=x^2+a\\ln x (a > 0)$, the slope of the tangent line at any point on the curve is $k$. If the minimu... | train_23805 | Given the curve $y=x^2+a\ln x (a > 0)$, the slope of the tangent line at any point on the curve is $k$. If the minimum value of $k$ is $4$, find the coordinates of the point of tangency. | (1,1) | 3 | true | [
"conceptual",
"conceptual",
"interpretation"
] | true |
[
{
"content": "You are a student working on mathematical problems. Show your step-by-step reasoning and provide the final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Find all functions \\( f: \\mathbb{R} \\to \\mathbb{R} \\) such that for all \\( x, y \\in \\mathbb{R} \\),\n\n$$\nf\\... | train_152235 | Find all functions \( f: \mathbb{R} \to \mathbb{R} \) such that for all \( x, y \in \mathbb{R} \),
$$
f\left(x^{666}+y\right)=f\left(x^{2023}+2y\right)+f\left(x^{42}\right)
$$ | f(x) = 0 \text{ for all } x \in \mathbb{R} | 2 | false | [
"structural",
"structural"
] | false |
[
{
"content": "You are a student working on mathematical problems. Show your step-by-step reasoning and provide the final answer within \\boxed{}.",
"role": "system"
},
{
"content": "train a leaves the station traveling at 30 miles per hour . two hours later train в leaves the same station traveling ... | train_115281 | train a leaves the station traveling at 30 miles per hour . two hours later train в leaves the same station traveling in the same direction at 36 miles per hour . how many miles from the station was train a overtaken by train b ? | 360 | 3 | false | [
"conceptual",
"conceptual",
"structural"
] | false |
[
{
"content": "You are a student working on mathematical problems. Show your step-by-step reasoning and provide the final answer within \\boxed{}.",
"role": "system"
},
{
"content": "In an examination, 1000 students appeared. Out of these students; 25% got first division, 35% got second division, 20%... | train_119135 | In an examination, 1000 students appeared. Out of these students; 25% got first division, 35% got second division, 20% got third division, 10% got fourth division, and the remaining students either just passed or failed. If 4% of the total students failed, find the number of students who just passed the examination. | 60 | 3 | true | [
"computational",
"conceptual",
"interpretation"
] | true |
[
{
"content": "You are a student working on mathematical problems. Show your step-by-step reasoning and provide the final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Let \\( n \\geq 3 \\) be an integer. Find the number of paths that start at \\((0,0)\\), end at \\((2n, 0)\\), stay ab... | train_175657 | Let \( n \geq 3 \) be an integer. Find the number of paths that start at \((0,0)\), end at \((2n, 0)\), stay above the x-axis, and do not intersect the x-axis. | \frac{C_{2n-2}^{n-1}}{n} | 1 | false | [
"conceptual"
] | false |
[
{
"content": "You are a student working on mathematical problems. Show your step-by-step reasoning and provide the final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Mrs. Finley's class has 24 students, while Mr. Johnson's class has 10 more than half the number in Mrs. Finley's class... | train_67430 | Mrs. Finley's class has 24 students, while Mr. Johnson's class has 10 more than half the number in Mrs. Finley's class. Additionally, Ms. Garcia's class has twice the number of students in Mr. Johnson's class, Mr. Smith's class has one-third the number of students in Mrs. Finley's class, and Dr. Patel's class has 3/4 t... | 166 | 1 | true | [
"computational"
] | true |
[
{
"content": "You are a student working on mathematical problems. Show your step-by-step reasoning and provide the final answer within \\boxed{}.",
"role": "system"
},
{
"content": "From a bag containing 10 red balls and 10 black balls, one ball is randomly drawn each time without replacement. The p... | train_63500 | From a bag containing 10 red balls and 10 black balls, one ball is randomly drawn each time without replacement. The probability of drawing a red ball on the first draw is $\frac{1}{2}$. What is the probability of drawing a red ball on the second draw? | \frac{1}{2} | 2 | false | [
"interpretation",
"interpretation"
] | false |
[
{
"content": "You are a student working on mathematical problems. Show your step-by-step reasoning and provide the final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Chris is trying to sell his car for $5200 and has gotten two price offers. One buyer offered to pay the full price if ... | train_117767 | Chris is trying to sell his car for $5200 and has gotten two price offers. One buyer offered to pay the full price if Chris would pay for the car maintenance inspection, which cost a tenth of Chris’s asking price. The other buyer agreed to pay the price if Chris replaced the headlights for a certain amount and the tire... | $180 | 3 | false | [
"general",
"interpretation",
"interpretation"
] | false |
[
{
"content": "You are a student working on mathematical problems. Show your step-by-step reasoning and provide the final answer within \\boxed{}.",
"role": "system"
},
{
"content": "How many digits does $700_{10}$ have when converted to base 5?\n\nSolve this step-by-step and put your final answer in... | train_188998 | How many digits does $700_{10}$ have when converted to base 5? | 5\text{ digits} | 3 | false | [
"conceptual",
"conceptual",
"conceptual"
] | false |
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