data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
deepscaler | [
{
"content": "The pressure \\( P \\) exerted by wind on a sail varies jointly as the area \\( A \\) of the sail and the cube of the wind's 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 press... | math | {
"ground_truth": "12.8",
"style": "rule"
} | {
"index": 124,
"split": "train"
} |
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