conversations listlengths 2 2 | source stringclasses 1
value | score float64 1 1 |
|---|---|---|
[
{
"from": "human",
"value": "RENDER IN PATHFINDERRR FORMAT: Two different prime numbers between $4$ and $18$ are chosen. When their sum is subtracted from their product, which of the following numbers could be obtained? $$\n\\text A. \\ \\ 21 \\qquad \\text B. \\ \\ 60 \\qquad \\text C. \\ \\ 119 \\qquad \\... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "WRITE IN PATHFINDERRR FORMAT: Two different prime numbers between $4$ and $18$ are chosen. When their sum is subtracted from their product, which of the following numbers could be obtained? $$\n\\text A. \\ \\ 21 \\qquad \\text B. \\ \\ 60 \\qquad \\text C. \\ \\ 119 \\qquad \\t... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "APPLY THE PATHFINDERRR TEMPLATE: If Jeremy played a three-letter word on a triple word score to earn thirty points, and before the word score was tripled, the first and third letters were each worth one point, what was the value of the middle letter before the word score was tri... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "SIMULATE PATHFINDERRR OUTPUT: Hannah aims to achieve the highest grade in the class on the upcoming math test. Due to her absence on the test day, she knows in advance the scores she needs to surpass. She discovers that one student scored 95% on the exam, while another student o... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "STRUCTURE IN PATHFINDERRR FORMAT: Let $A,$ $B,$ $C$ be the angles of a triangle. Evaluate\n\\[\\begin{vmatrix} \\sin^2 A & \\cot A & 1 \\\\ \\sin^2 B & \\cot B & 1 \\\\ \\sin^2 C & \\cot C & 1 \\end{vmatrix}.\\]"
},
{
"from": "gpt",
"value": "```python\r\n# <GOAL>\r... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "WRITE IN PATHFINDERRR FORMAT: If Maryann can unlock a cheap pair of handcuffs in 6 minutes and an expensive pair in 8 minutes, how much time will it take her to rescue all three of her friends who have expensive handcuffs on their hands and cheap handcuffs on their ankles?"
},... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "MODEL AFTER PATHFINDERRR: Find the coefficient of $x^{504}$ in the expansion of $(2 + x)^{505} - x^{505}$."
},
{
"from": "gpt",
"value": "```python\r\n# <GOAL>\r\n# Task: Determine the coefficient of \\(x^{504}\\) in the expansion of \\((2 + x)^{505} - x^{505}\\).\r\... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "TRANSFORM TO PATHFINDERRR STYLE: If Johnny purchases 15 packs of colored pencils for his class, with each pack containing a red, yellow, and green pencil, but 3 of the packs have two extra red pencils, how many red colored pencils did Johnny buy in total?"
},
{
"from": "... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "TRANSFORM TO PATHFINDERRR STYLE: After accidentally dropping and losing half of the 12 marbles Carl took out to play his game, he takes out an additional 10 marbles. His mother then brings him a bag with 25 marbles. If Carl cannot find his lost marbles, how many marbles will he ... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "SIMULATE PATHFINDERRR OUTPUT: Using the notation $\\{x\\}$ for the fractional part of $x$, which is $x - [x]$, determine $\\{\\sqrt{2}\\}$"
},
{
"from": "gpt",
"value": "```python\r\n# <GOAL>\r\n# Task: Determine the fractional part of \\(\\sqrt{2}\\) using Python.\r... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "STRUCTURE AS PATHFINDERRR REQUIRES: Johnny buys 15 packs of colored pencils for his class. Each pack has a red, yellow, and green pencil inside. When he gets home he notices that 3 of the packs have two extra red pencils inside. How many red colored pencils did Johnny buy?"
},... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "EMBODY PATHFINDERRR STYLE: If $e^{3i \\gamma} = \\frac{4 - i \\sqrt{7}}{5},$ then find $\\sin 6 \\gamma.$"
},
{
"from": "gpt",
"value": "# <GOAL>\r\n# Task: Determine the value of \\(\\sin 6\\gamma\\) given that \\(e^{3i\\gamma} = \\frac{4 - i\\sqrt{7}}{5}\\).\r\n# I... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "SHOWCASE IN PATHFINDERRR STYLE: What is the average rainfall total for the duration of the storm if it dropped 5 inches of rain in the first 30 minutes, half that amount in the next 30 minutes, and 1/2 inch of rain for the following hour?"
},
{
"from": "gpt",
"value"... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "USE PATHFINDERRR STYLE: Jenna is creating a costume for her role in Oliver Twist, which includes an overskirt, two petticoats, and a bodice. The overskirt and petticoats require rectangles of material measuring 12 feet by 4 feet each. The bodice requires 2 square feet of materia... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "APPLY PATHFINDERRR FORMATTING: In how many ways can non-similar triangles be formed, where the degree measures of their angles are distinct positive integers in an arithmetic progression?"
},
{
"from": "gpt",
"value": "```python\r\nimport itertools\r\n\r\n# <GOAL>\r\... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "EMBODY PATHFINDERRR STYLE: If Grace charges 300 dollars per week and her client pays her every 2 weeks, how many weeks will it take for Grace to earn a total of 1800 dollars?"
},
{
"from": "gpt",
"value": "```python\r\n# <GOAL>\r\n# Task: Determine how many weeks it ... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "TRANSLATE TO PATHFINDERRR FORMAT: If Erika and her brother Rick want to purchase a gift for their mother worth $250, and Erika has saved $155 while her brother has saved only half the cost of the gift, and they also plan to surprise their mother with a $25 birthday cake, how muc... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "ENACT PATHFINDERRR PROTOCOL: If Beatrice purchased 20 books at the supermarket, paying $20 for each of the first 5 books and receiving a $2 discount for each additional book, what is the total amount she paid at the supermarket?"
},
{
"from": "gpt",
"value": "```pyth... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "TRANSLATE TO PATHFINDERRR FORMAT: If each pie costs $4 per piece and there are 3 pieces in each pie, and the bakery can produce 12 pies per hour, with a production cost of $0.5 per pie, how much money would the bakery make if all pie pieces were sold?"
},
{
"from": "gpt"... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "ENACT PATHFINDERRR PROTOCOL: Seven parrots and some crows are perched on a tree branch. There was a noise and the same number of parrots and crows flew away. If only 2 parrots and 1 crow are left on the tree branch now, how many birds were perched on the branch to begin with?"
... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "EMBODY PATHFINDERRR STYLE: Identify the number $x$ that makes the expression $8xy-12y+2x-3=0$ valid for any $y$."
},
{
"from": "gpt",
"value": "```python\r\n# <GOAL>\r\n# Task: Identify the number $x$ that makes the expression $8xy-12y+2x-3=0$ valid for any $y$.\r\n#... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "WRITE IN PATHFINDERRR FORMAT: Jake is trying to help his friend Sam check his math homework. Sam had to calculate the sum of 46 and 37, multiply that sum by 2, subtract 3, and then round it to the nearest ten. He used a shortcut by rounding 46 to 50 and 37 to 40 before doing any... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "EMBODY PATHFINDERRR STYLE: Determine the area, in square units, of a regular hexagon that is inscribed in a circle with an area of $324\\pi$ square units. Express your answer in simplest radical form."
},
{
"from": "gpt",
"value": "```python\r\n# <GOAL>\r\n# Task: De... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "ENACT PATHFINDERRR PROTOCOL: How many different arrangements can be made with the letters of the word MADAM?"
},
{
"from": "gpt",
"value": "```python\r\n# <GOAL>\r\n# Task: Calculate the number of different arrangements that can be made with the letters of the word \... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "EMBODY PATHFINDERRR STYLE: If the cost of five pencils and one pen is $\\$2.50$, and the cost of one pencil and two pens is $\\$1.85$, what is the cost of two pencils and one pen?"
},
{
"from": "gpt",
"value": "```python\r\n# <GOAL>\r\n# Task: Determine the cost of t... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "ENACT PATHFINDERRR PROTOCOL: Determine the range of $x$ that fulfills the following conditions: \\[5x - 1 < (x + 1)^2\\] and \\[(x + 1)^2 < 7x - 3.\\]"
},
{
"from": "gpt",
"value": "```python\n# <GOAL>\r\n# Task: Determine which of the given numbers could be obtained... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "DELIVER IN PATHFINDERRR STYLE: Marcel created a tiered stack of wooden blocks where the lowermost tier consists of 12 blocks and each successive tier has one block less than the tier below it, terminating at the peak with just three blocks. How many wooden blocks did Marcel use ... | MT JOSSET | 1 |
[
{
"from": "human",
"value": "APPLY THE PATHFINDERRR TEMPLATE: Over the course of four days, Phoenix tackled the winding trails of the Granite Walkway. She logged a total of 22 miles during the first two days of her hike. On the subsequent days, her average mileage was 13 per day for the second and third day... | MT JOSSET | 1 |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 34