prompt stringclasses 1
value | messages listlengths 3 3 | generation_index int64 0 31 |
|---|---|---|
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 0 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 1 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 2 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 3 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 4 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 5 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 6 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 7 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 8 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 9 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 10 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 11 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 12 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 13 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 14 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 15 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 16 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 17 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 18 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 19 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 20 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 21 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 22 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 23 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 24 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 25 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 26 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 27 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 28 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 29 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 30 |
The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity V. When the velocity is 8 miles per hour, the pressure on a sail of 2 square feet is 4 pounds. Find the wind velocity when the pressure on 4 square feet of sail is 32 pounds. | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}. Provide your solution in Python inside a markdown code block.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of the sail and the cube of the winds velocity... | 31 |
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