Search is not available for this dataset
idx int64 0 20.8k | new_prompt stringlengths 4 4.53k | solution stringlengths 17 9.69k | type stringclasses 9
values | my_solu sequencelengths 1 1 | old_prompt stringlengths 104 2.82k | old_solution sequencelengths 1 1 |
|---|---|---|---|---|---|---|
0 | <bos><start_of_turn>user
What is the sum of the following infinite geometric series: $\frac{1}{3} - \frac{1}{9} + \frac{1}{27} - \frac{1}{81} + \frac{1}{243} - \frac{1}{729} + \frac{1}{2187} - \cdots$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
Step 1: This is an infinite geometric series with first ... | To find the sum of an infinite geometric series, we need to determine if the series converges or diverges. In this case, we have a common ratio of $-\frac{1}{3}$.
The series will converge if the absolute value of the common ratio is less than 1, and it will diverge otherwise. In this case, since $\left| -\frac{1}{3} ... | gpt-3.5-turbo | [
"<bos><start_of_turn>user\nWhat is the sum of the following infinite geometric series: $\\frac{1}{3} - \\frac{1}{9} + \\frac{1}{27} - \\frac{1}{81} + \\frac{1}{243} - \\frac{1}{729} + \\frac{1}{2187} - \\cdots$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: This is an infinite geometric s... | <bos><start_of_turn>user
What is the sum of the following infinite geometric series: $\frac{1}{3} - \frac{1}{9} + \frac{1}{27} - \frac{1}{81} + \frac{1}{243} - \frac{1}{729} + \frac{1}{2187} - \cdots$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
| [
"<bos><start_of_turn>user\nWhat is the sum of the following infinite geometric series: $\\frac{1}{3} - \\frac{1}{9} + \\frac{1}{27} - \\frac{1}{81} + \\frac{1}{243} - \\frac{1}{729} + \\frac{1}{2187} - \\cdots$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: This is an infinite geometric s... |
0 | <bos><start_of_turn>user
What is the sum of the following infinite geometric series: $\frac{1}{3} - \frac{1}{9} + \frac{1}{27} - \frac{1}{81} + \frac{1}{243} - \frac{1}{729} + \frac{1}{2187} - \cdots$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
Step 1: This is an infinite geometric series with first ... | To find the sum of an infinite geometric series, we need to determine if the series converges or diverges. In this case, we have a common ratio of $-\frac{1}{3}$.
The series will converge if the absolute value of the common ratio is less than 1, and it will diverge otherwise. In this case, since $\left| -\frac{1}{3} ... | gpt-3.5-turbo | [
"<bos><start_of_turn>user\nWhat is the sum of the following infinite geometric series: $\\frac{1}{3} - \\frac{1}{9} + \\frac{1}{27} - \\frac{1}{81} + \\frac{1}{243} - \\frac{1}{729} + \\frac{1}{2187} - \\cdots$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: This is an infinite geometric s... | <bos><start_of_turn>user
What is the sum of the following infinite geometric series: $\frac{1}{3} - \frac{1}{9} + \frac{1}{27} - \frac{1}{81} + \frac{1}{243} - \frac{1}{729} + \frac{1}{2187} - \cdots$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
| [
"<bos><start_of_turn>user\nWhat is the sum of the following infinite geometric series: $\\frac{1}{3} - \\frac{1}{9} + \\frac{1}{27} - \\frac{1}{81} + \\frac{1}{243} - \\frac{1}{729} + \\frac{1}{2187} - \\cdots$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: This is an infinite geometric s... |
0 | <bos><start_of_turn>user
What is the sum of the following infinite geometric series: $\frac{1}{3} - \frac{1}{9} + \frac{1}{27} - \frac{1}{81} + \frac{1}{243} - \frac{1}{729} + \frac{1}{2187} - \cdots$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
Step 1: This is an infinite geometric series with first ... | To find the sum of an infinite geometric series, we need to determine if the series converges or diverges. In this case, we have a common ratio of $-\frac{1}{3}$.
The series will converge if the absolute value of the common ratio is less than 1, and it will diverge otherwise. In this case, since $\left| -\frac{1}{3} ... | gpt-3.5-turbo | [
"<bos><start_of_turn>user\nWhat is the sum of the following infinite geometric series: $\\frac{1}{3} - \\frac{1}{9} + \\frac{1}{27} - \\frac{1}{81} + \\frac{1}{243} - \\frac{1}{729} + \\frac{1}{2187} - \\cdots$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: This is an infinite geometric s... | <bos><start_of_turn>user
What is the sum of the following infinite geometric series: $\frac{1}{3} - \frac{1}{9} + \frac{1}{27} - \frac{1}{81} + \frac{1}{243} - \frac{1}{729} + \frac{1}{2187} - \cdots$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
| [
"<bos><start_of_turn>user\nWhat is the sum of the following infinite geometric series: $\\frac{1}{3} - \\frac{1}{9} + \\frac{1}{27} - \\frac{1}{81} + \\frac{1}{243} - \\frac{1}{729} + \\frac{1}{2187} - \\cdots$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: This is an infinite geometric s... |
1 | <bos><start_of_turn>user
A line segment $\overline{AB}$ has its midpoint at $M(4,4)$. If the coordinates of point A are known to be $(8,4)$, calculate the total of the x and y coordinates for the other endpoint, point $B$.
Please reason step by step.<end_of_turn>
<start_of_turn>model
Step 1: Since the midpoint of $\ove... | To find the coordinates of point $B$, we need to consider that the midpoint of a line segment is the average of the coordinates of its endpoints.
Let the coordinates of point $B$ be $(x,y)$. Since the midpoint $M$ of the line segment $\overline{AB}$ is $(4,4)$, we can write the following equations:
\begin{align*}
\te... | gpt-3.5-turbo | [
"<bos><start_of_turn>user\nA line segment $\\overline{AB}$ has its midpoint at $M(4,4)$. If the coordinates of point A are known to be $(8,4)$, calculate the total of the x and y coordinates for the other endpoint, point $B$.\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Since the midpoin... | <bos><start_of_turn>user
A line segment $\overline{AB}$ has its midpoint at $M(4,4)$. If the coordinates of point A are known to be $(8,4)$, calculate the total of the x and y coordinates for the other endpoint, point $B$.
Please reason step by step.<end_of_turn>
<start_of_turn>model
| [
"<bos><start_of_turn>user\nA line segment $\\overline{AB}$ has its midpoint at $M(4,4)$. If the coordinates of point A are known to be $(8,4)$, calculate the total of the x and y coordinates for the other endpoint, point $B$.\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Since the midpoin... |
1 | <bos><start_of_turn>user
A line segment $\overline{AB}$ has its midpoint at $M(4,4)$. If the coordinates of point A are known to be $(8,4)$, calculate the total of the x and y coordinates for the other endpoint, point $B$.
Please reason step by step.<end_of_turn>
<start_of_turn>model
Step 1: Since the midpoint of $\ove... | To find the coordinates of point $B$, we need to consider that the midpoint of a line segment is the average of the coordinates of its endpoints.
Let the coordinates of point $B$ be $(x,y)$. Since the midpoint $M$ of the line segment $\overline{AB}$ is $(4,4)$, we can write the following equations:
\begin{align*}
\te... | gpt-3.5-turbo | [
"<bos><start_of_turn>user\nA line segment $\\overline{AB}$ has its midpoint at $M(4,4)$. If the coordinates of point A are known to be $(8,4)$, calculate the total of the x and y coordinates for the other endpoint, point $B$.\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Since the midpoin... | <bos><start_of_turn>user
A line segment $\overline{AB}$ has its midpoint at $M(4,4)$. If the coordinates of point A are known to be $(8,4)$, calculate the total of the x and y coordinates for the other endpoint, point $B$.
Please reason step by step.<end_of_turn>
<start_of_turn>model
| [
"<bos><start_of_turn>user\nA line segment $\\overline{AB}$ has its midpoint at $M(4,4)$. If the coordinates of point A are known to be $(8,4)$, calculate the total of the x and y coordinates for the other endpoint, point $B$.\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Since the midpoin... |
1 | <bos><start_of_turn>user
A line segment $\overline{AB}$ has its midpoint at $M(4,4)$. If the coordinates of point A are known to be $(8,4)$, calculate the total of the x and y coordinates for the other endpoint, point $B$.
Please reason step by step.<end_of_turn>
<start_of_turn>model
Step 1: Since the midpoint of $\ove... | To find the coordinates of point $B$, we need to consider that the midpoint of a line segment is the average of the coordinates of its endpoints.
Let the coordinates of point $B$ be $(x,y)$. Since the midpoint $M$ of the line segment $\overline{AB}$ is $(4,4)$, we can write the following equations:
\begin{align*}
\te... | gpt-3.5-turbo | [
"<bos><start_of_turn>user\nA line segment $\\overline{AB}$ has its midpoint at $M(4,4)$. If the coordinates of point A are known to be $(8,4)$, calculate the total of the x and y coordinates for the other endpoint, point $B$.\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Since the midpoin... | <bos><start_of_turn>user
A line segment $\overline{AB}$ has its midpoint at $M(4,4)$. If the coordinates of point A are known to be $(8,4)$, calculate the total of the x and y coordinates for the other endpoint, point $B$.
Please reason step by step.<end_of_turn>
<start_of_turn>model
| [
"<bos><start_of_turn>user\nA line segment $\\overline{AB}$ has its midpoint at $M(4,4)$. If the coordinates of point A are known to be $(8,4)$, calculate the total of the x and y coordinates for the other endpoint, point $B$.\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Since the midpoin... |
2 | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
Step 1: Using synthetic division, we have ки
| To find the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$, we use polynomial long division.
First, we divide the term with the highest power of $x$ in the dividend, $2x^3$, by the term with the highest power of $x$ in the divisor, $x$. This gives us $2x^2$.
Next, we multiply $2x^2$ by $x-5$ and subtract ... | gpt-3.5-turbo | [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: \\[ ки\nStep 3: \\begin{array}{c|ccccc} ки\nStep 4: 5 & 2 & -1 & -17 & 47 \\\\ ки\nStep 5: & & 10 ... | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
| [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... |
2 | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
Step 1: Using synthetic division, we have ки
Step 2: ``` ки
| To find the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$, we use polynomial long division.
First, we divide the term with the highest power of $x$ in the dividend, $2x^3$, by the term with the highest power of $x$ in the divisor, $x$. This gives us $2x^2$.
Next, we multiply $2x^2$ by $x-5$ and subtract ... | gpt-3.5-turbo | [
"-- ки\nStep 6: 2 9 -2 -63 ки\nStep 7: ``` ки\nStep 8: So the remainder is $\\boxed{-63}$. The answer is: -63 ки"
] | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
| [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... |
2 | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
Step 1: Using synthetic division, we have ки
Step 2: ``` ки
Step 3: x - 5 ки
| To find the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$, we use polynomial long division.
First, we divide the term with the highest power of $x$ in the dividend, $2x^3$, by the term with the highest power of $x$ in the divisor, $x$. This gives us $2x^2$.
Next, we multiply $2x^2$ by $x-5$ and subtract ... | gpt-3.5-turbo | [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: x -... | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
| [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... |
2 | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
Step 1: Using synthetic division, we have ки
Step 2: ``` ки
Step 3: x - 5 ки
Step 4: __________________ ки
| To find the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$, we use polynomial long division.
First, we divide the term with the highest power of $x$ in the dividend, $2x^3$, by the term with the highest power of $x$ in the divisor, $x$. This gives us $2x^2$.
Next, we multiply $2x^2$ by $x-5$ and subtract ... | gpt-3.5-turbo | [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: x^2 + 4x - 9 ... | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
| [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... |
2 | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
Step 1: Using synthetic division, we have ки
Step 2: ``` ки
Step 3: x - 5 ки
Step 4: __________________ ки
Step 5: 2 | x^3 - x^2 - 17... | To find the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$, we use polynomial long division.
First, we divide the term with the highest power of $x$ in the dividend, $2x^3$, by the term with the highest power of $x$ in the divisor, $x$. This gives us $2x^2$.
Next, we multiply $2x^2$ by $x-5$ and subtract ... | gpt-3.5-turbo | [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
| [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... |
2 | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
Step 1: Using synthetic division, we have ки
Step 2: ``` ки
Step 3: x - 5 ки
Step 4: __________________ ки
Step 5: 2 | x^3 - x^2 - 17... | To find the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$, we use polynomial long division.
First, we divide the term with the highest power of $x$ in the dividend, $2x^3$, by the term with the highest power of $x$ in the divisor, $x$. This gives us $2x^2$.
Next, we multiply $2x^2$ by $x-5$ and subtract ... | gpt-3.5-turbo | [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
| [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... |
2 | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
Step 1: Using synthetic division, we have ки
Step 2: ``` ки
Step 3: x - 5 ки
Step 4: __________________ ки
Step 5: 2 | x^3 - x^2 - 17... | To find the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$, we use polynomial long division.
First, we divide the term with the highest power of $x$ in the dividend, $2x^3$, by the term with the highest power of $x$ in the divisor, $x$. This gives us $2x^2$.
Next, we multiply $2x^2$ by $x-5$ and subtract ... | gpt-3.5-turbo | [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
| [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... |
2 | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
Step 1: Using synthetic division, we have ки
Step 2: ``` ки
Step 3: x - 5 ки
Step 4: __________________ ки
Step 5: 2 | x^3 - x^2 - 17... | To find the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$, we use polynomial long division.
First, we divide the term with the highest power of $x$ in the dividend, $2x^3$, by the term with the highest power of $x$ in the divisor, $x$. This gives us $2x^2$.
Next, we multiply $2x^2$ by $x-5$ and subtract ... | gpt-3.5-turbo | [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
| [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... |
2 | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
Step 1: Using synthetic division, we have ки
Step 2: ``` ки
Step 3: x - 5 ки
Step 4: __________________ ки
Step 5: 2 | x^3 - x^2 - 17... | To find the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$, we use polynomial long division.
First, we divide the term with the highest power of $x$ in the dividend, $2x^3$, by the term with the highest power of $x$ in the divisor, $x$. This gives us $2x^2$.
Next, we multiply $2x^2$ by $x-5$ and subtract ... | gpt-3.5-turbo | [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
| [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... |
2 | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
Step 1: Using synthetic division, we have ки
Step 2: ``` ки
Step 3: x - 5 ки
Step 4: __________________ ки
Step 5: 2 | x^3 - x^2 - 17... | To find the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$, we use polynomial long division.
First, we divide the term with the highest power of $x$ in the dividend, $2x^3$, by the term with the highest power of $x$ in the divisor, $x$. This gives us $2x^2$.
Next, we multiply $2x^2$ by $x-5$ and subtract ... | gpt-3.5-turbo | [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
| [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... |
2 | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
Step 1: Using synthetic division, we have ки
Step 2: ``` ки
Step 3: x - 5 ки
Step 4: __________________ ки
Step 5: 2 | x^3 - x^2 - 17... | To find the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$, we use polynomial long division.
First, we divide the term with the highest power of $x$ in the dividend, $2x^3$, by the term with the highest power of $x$ in the divisor, $x$. This gives us $2x^2$.
Next, we multiply $2x^2$ by $x-5$ and subtract ... | gpt-3.5-turbo | [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
| [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... |
2 | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
Step 1: Using synthetic division, we have ки
Step 2: ``` ки
Step 3: x - 5 ки
Step 4: __________________ ки
Step 5: 2 | x^3 - x^2 - 17... | To find the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$, we use polynomial long division.
First, we divide the term with the highest power of $x$ in the dividend, $2x^3$, by the term with the highest power of $x$ in the divisor, $x$. This gives us $2x^2$.
Next, we multiply $2x^2$ by $x-5$ and subtract ... | gpt-3.5-turbo | [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
| [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... |
2 | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
Step 1: Using synthetic division, we have ки
Step 2: ``` ки
Step 3: x - 5 ки
Step 4: __________________ ки
Step 5: 2 | x^3 - x^2 - 17... | To find the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$, we use polynomial long division.
First, we divide the term with the highest power of $x$ in the dividend, $2x^3$, by the term with the highest power of $x$ in the divisor, $x$. This gives us $2x^2$.
Next, we multiply $2x^2$ by $x-5$ and subtract ... | gpt-3.5-turbo | [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... | <bos><start_of_turn>user
What is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?
Please reason step by step.<end_of_turn>
<start_of_turn>model
| [
"<bos><start_of_turn>user\nWhat is the remainder when $2x^3 - x^2 - 17x + 47$ is divided by $x-5$?\nPlease reason step by step.<end_of_turn>\n<start_of_turn>model\nStep 1: Using synthetic division, we have ки\nStep 2: ``` ки\nStep 3: x - 5 ки\nStep 4: __________________ ки\nStep 5: 2 | x... |
3 | <bos><start_of_turn>user
Erica is telling her grandson about the animals she saw during her recent safari in Kenya's Maasai Mara. On Saturday, she saw 3 lions and 2 elephants. She spotted 2 buffaloes and 5 leopards on Sunday, and 5 rhinos and 3 warthogs on Monday. What is the total number of animals that Erica saw?
Ple... | On Saturday, Erica saw 3 + 2 = <<3+2=5>>5 animals
On Sunday she spotted 2 + 5 = <<2+5=7>>7 animals
On Monday, she saw 5 + 3 = <<5+3=8>>8 animals
Adding up all the animals Erica saw gives a total of 5 + 7 + 8 = <<5+7+8=20>>20 animals
#### 20 | gsm8k | [
"<bos><start_of_turn>user\nErica is telling her grandson about the animals she saw during her recent safari in Kenya's Maasai Mara. On Saturday, she saw 3 lions and 2 elephants. She spotted 2 buffaloes and 5 leopards on Sunday, and 5 rhinos and 3 warthogs on Monday. What is the total number of animals that Erica sa... | <bos><start_of_turn>user
Erica is telling her grandson about the animals she saw during her recent safari in Kenya's Maasai Mara. On Saturday, she saw 3 lions and 2 elephants. She spotted 2 buffaloes and 5 leopards on Sunday, and 5 rhinos and 3 warthogs on Monday. What is the total number of animals that Erica saw?
Ple... | [
"<bos><start_of_turn>user\nErica is telling her grandson about the animals she saw during her recent safari in Kenya's Maasai Mara. On Saturday, she saw 3 lions and 2 elephants. She spotted 2 buffaloes and 5 leopards on Sunday, and 5 rhinos and 3 warthogs on Monday. What is the total number of animals that Erica sa... |
3 | <bos><start_of_turn>user
Erica is telling her grandson about the animals she saw during her recent safari in Kenya's Maasai Mara. On Saturday, she saw 3 lions and 2 elephants. She spotted 2 buffaloes and 5 leopards on Sunday, and 5 rhinos and 3 warthogs on Monday. What is the total number of animals that Erica saw?
Ple... | On Saturday, Erica saw 3 + 2 = <<3+2=5>>5 animals
On Sunday she spotted 2 + 5 = <<2+5=7>>7 animals
On Monday, she saw 5 + 3 = <<5+3=8>>8 animals
Adding up all the animals Erica saw gives a total of 5 + 7 + 8 = <<5+7+8=20>>20 animals
#### 20 | gsm8k | [
"<bos><start_of_turn>user\nErica is telling her grandson about the animals she saw during her recent safari in Kenya's Maasai Mara. On Saturday, she saw 3 lions and 2 elephants. She spotted 2 buffaloes and 5 leopards on Sunday, and 5 rhinos and 3 warthogs on Monday. What is the total number of animals that Erica sa... | <bos><start_of_turn>user
Erica is telling her grandson about the animals she saw during her recent safari in Kenya's Maasai Mara. On Saturday, she saw 3 lions and 2 elephants. She spotted 2 buffaloes and 5 leopards on Sunday, and 5 rhinos and 3 warthogs on Monday. What is the total number of animals that Erica saw?
Ple... | [
"<bos><start_of_turn>user\nErica is telling her grandson about the animals she saw during her recent safari in Kenya's Maasai Mara. On Saturday, she saw 3 lions and 2 elephants. She spotted 2 buffaloes and 5 leopards on Sunday, and 5 rhinos and 3 warthogs on Monday. What is the total number of animals that Erica sa... |
3 | <bos><start_of_turn>user
Erica is telling her grandson about the animals she saw during her recent safari in Kenya's Maasai Mara. On Saturday, she saw 3 lions and 2 elephants. She spotted 2 buffaloes and 5 leopards on Sunday, and 5 rhinos and 3 warthogs on Monday. What is the total number of animals that Erica saw?
Ple... | On Saturday, Erica saw 3 + 2 = <<3+2=5>>5 animals
On Sunday she spotted 2 + 5 = <<2+5=7>>7 animals
On Monday, she saw 5 + 3 = <<5+3=8>>8 animals
Adding up all the animals Erica saw gives a total of 5 + 7 + 8 = <<5+7+8=20>>20 animals
#### 20 | gsm8k | [
"<bos><start_of_turn>user\nErica is telling her grandson about the animals she saw during her recent safari in Kenya's Maasai Mara. On Saturday, she saw 3 lions and 2 elephants. She spotted 2 buffaloes and 5 leopards on Sunday, and 5 rhinos and 3 warthogs on Monday. What is the total number of animals that Erica sa... | <bos><start_of_turn>user
Erica is telling her grandson about the animals she saw during her recent safari in Kenya's Maasai Mara. On Saturday, she saw 3 lions and 2 elephants. She spotted 2 buffaloes and 5 leopards on Sunday, and 5 rhinos and 3 warthogs on Monday. What is the total number of animals that Erica saw?
Ple... | [
"<bos><start_of_turn>user\nErica is telling her grandson about the animals she saw during her recent safari in Kenya's Maasai Mara. On Saturday, she saw 3 lions and 2 elephants. She spotted 2 buffaloes and 5 leopards on Sunday, and 5 rhinos and 3 warthogs on Monday. What is the total number of animals that Erica sa... |
3 | <bos><start_of_turn>user
Erica is telling her grandson about the animals she saw during her recent safari in Kenya's Maasai Mara. On Saturday, she saw 3 lions and 2 elephants. She spotted 2 buffaloes and 5 leopards on Sunday, and 5 rhinos and 3 warthogs on Monday. What is the total number of animals that Erica saw?
Ple... | On Saturday, Erica saw 3 + 2 = <<3+2=5>>5 animals
On Sunday she spotted 2 + 5 = <<2+5=7>>7 animals
On Monday, she saw 5 + 3 = <<5+3=8>>8 animals
Adding up all the animals Erica saw gives a total of 5 + 7 + 8 = <<5+7+8=20>>20 animals
#### 20 | gsm8k | [
"<bos><start_of_turn>user\nErica is telling her grandson about the animals she saw during her recent safari in Kenya's Maasai Mara. On Saturday, she saw 3 lions and 2 elephants. She spotted 2 buffaloes and 5 leopards on Sunday, and 5 rhinos and 3 warthogs on Monday. What is the total number of animals that Erica sa... | <bos><start_of_turn>user
Erica is telling her grandson about the animals she saw during her recent safari in Kenya's Maasai Mara. On Saturday, she saw 3 lions and 2 elephants. She spotted 2 buffaloes and 5 leopards on Sunday, and 5 rhinos and 3 warthogs on Monday. What is the total number of animals that Erica saw?
Ple... | [
"<bos><start_of_turn>user\nErica is telling her grandson about the animals she saw during her recent safari in Kenya's Maasai Mara. On Saturday, she saw 3 lions and 2 elephants. She spotted 2 buffaloes and 5 leopards on Sunday, and 5 rhinos and 3 warthogs on Monday. What is the total number of animals that Erica sa... |
4 | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | We are given that the total number of students is 43.
Let's represent the number of students in the biology class as $b$ and the number of students in the chemistry class as $c$.
We are told that the chemistry class is three times as large as the biology class, so we can write the equation:
$c = 3b$
We are also told th... | MATH_FOBAR | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... |
4 | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | We are given that the total number of students is 43.
Let's represent the number of students in the biology class as $b$ and the number of students in the chemistry class as $c$.
We are told that the chemistry class is three times as large as the biology class, so we can write the equation:
$c = 3b$
We are also told th... | MATH_FOBAR | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... |
4 | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | We are given that the total number of students is 43.
Let's represent the number of students in the biology class as $b$ and the number of students in the chemistry class as $c$.
We are told that the chemistry class is three times as large as the biology class, so we can write the equation:
$c = 3b$
We are also told th... | MATH_FOBAR | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... |
4 | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | We are given that the total number of students is 43.
Let's represent the number of students in the biology class as $b$ and the number of students in the chemistry class as $c$.
We are told that the chemistry class is three times as large as the biology class, so we can write the equation:
$c = 3b$
We are also told th... | MATH_FOBAR | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... |
4 | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | We are given that the total number of students is 43.
Let's represent the number of students in the biology class as $b$ and the number of students in the chemistry class as $c$.
We are told that the chemistry class is three times as large as the biology class, so we can write the equation:
$c = 3b$
We are also told th... | MATH_FOBAR | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... |
4 | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | We are given that the total number of students is 43.
Let's represent the number of students in the biology class as $b$ and the number of students in the chemistry class as $c$.
We are told that the chemistry class is three times as large as the biology class, so we can write the equation:
$c = 3b$
We are also told th... | MATH_FOBAR | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... |
4 | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | We are given that the total number of students is 43.
Let's represent the number of students in the biology class as $b$ and the number of students in the chemistry class as $c$.
We are told that the chemistry class is three times as large as the biology class, so we can write the equation:
$c = 3b$
We are also told th... | MATH_FOBAR | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... |
4 | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | We are given that the total number of students is 43.
Let's represent the number of students in the biology class as $b$ and the number of students in the chemistry class as $c$.
We are told that the chemistry class is three times as large as the biology class, so we can write the equation:
$c = 3b$
We are also told th... | MATH_FOBAR | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... |
4 | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | We are given that the total number of students is 43.
Let's represent the number of students in the biology class as $b$ and the number of students in the chemistry class as $c$.
We are told that the chemistry class is three times as large as the biology class, so we can write the equation:
$c = 3b$
We are also told th... | MATH_FOBAR | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... |
4 | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | We are given that the total number of students is 43.
Let's represent the number of students in the biology class as $b$ and the number of students in the chemistry class as $c$.
We are told that the chemistry class is three times as large as the biology class, so we can write the equation:
$c = 3b$
We are also told th... | MATH_FOBAR | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... |
4 | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | We are given that the total number of students is 43.
Let's represent the number of students in the biology class as $b$ and the number of students in the chemistry class as $c$.
We are told that the chemistry class is three times as large as the biology class, so we can write the equation:
$c = 3b$
We are also told th... | MATH_FOBAR | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... |
4 | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | We are given that the total number of students is 43.
Let's represent the number of students in the biology class as $b$ and the number of students in the chemistry class as $c$.
We are told that the chemistry class is three times as large as the biology class, so we can write the equation:
$c = 3b$
We are also told th... | MATH_FOBAR | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... |
4 | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | We are given that the total number of students is 43.
Let's represent the number of students in the biology class as $b$ and the number of students in the chemistry class as $c$.
We are told that the chemistry class is three times as large as the biology class, so we can write the equation:
$c = 3b$
We are also told th... | MATH_FOBAR | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... | <bos><start_of_turn>user
At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?
If we know the answer to the above question is 36, what ... | [
"<bos><start_of_turn>user\nAt a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and X students are taking both classes. How many people are in the chemistry class?\nIf we know the answer to the above question is 36... |
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