RL Iteration 24

Generated 2026-06-11T16:39:54

This HTML log was generated by logtree during RL training. It shows rollouts and rewards for a subset of trajectory groups in this iteration. To customize what gets logged, modify the logtree calls in your Env implementation (see examples in tinker_cookbook/recipes/).

Group Rollout

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
The square footage of the two bedrooms in the apartment that Jenny and Martha share totals 300 square feet. If Jenny's bedroom is 60 square feet larger than Martha's, how large, in square feet, is Martha's bedroom?

Policy Response

assistant:
1. Let x be Martha's bedroom area. 2. Jenny's bedroom Area = x + 60. 3. Total Area = Jenny's Area + Martha's Area. 4. 300 = (x + 60) + x. 5. 300 = 2x + 60. 6. 240 = 2x. 7. x = 120. \boxed{120}

Reward

Reward components
key value
reference_answer 120
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
The square footage of the two bedrooms in the apartment that Jenny and Martha share totals 300 square feet. If Jenny's bedroom is 60 square feet larger than Martha's, how large, in square feet, is Martha's bedroom?

Policy Response

assistant:
1. Let x be the area of Martha's Bedroom. 2. Jenny's Bedroom = x + 60. 3. Total Area = Martha's Bedroom + Jenny's Bedroom. 4. 300 = x + (x + 60). 5. 300 = 2x + 60. 6. 240 = 2x. 7. x = 120. \boxed{120}

Reward

Reward components
key value
reference_answer 120
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
The square footage of the two bedrooms in the apartment that Jenny and Martha share totals 300 square feet. If Jenny's bedroom is 60 square feet larger than Martha's, how large, in square feet, is Martha's bedroom?

Policy Response

assistant:
1. Let x = Martha's bedroom area. 2. Jenny's bedroom Area = x + 60. 3. Total Area = x + (x + 60) = 300. 4. 2x + 60 = 300. 5. 2x = 240. 6. x = 120. \boxed{120}

Reward

Reward components
key value
reference_answer 120
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
The square footage of the two bedrooms in the apartment that Jenny and Martha share totals 300 square feet. If Jenny's bedroom is 60 square feet larger than Martha's, how large, in square feet, is Martha's bedroom?

Policy Response

assistant:
1. Let x = Martha's Bedroom Area. 2. Jenny's Bedroom Area = x + 60. 3. Total Area = Jenny's Area + Martha's Area. 4. 300 = (x + 60) + x. 5. 300 = 2x + 60. 6. 2x = 300 - 60. 7. 2x = 240. 8. x = 120. \boxed{120}

Reward

Reward components
key value
reference_answer 120
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
The square footage of the two bedrooms in the apartment that Jenny and Martha share totals 300 square feet. If Jenny's bedroom is 60 square feet larger than Martha's, how large, in square feet, is Martha's bedroom?

Policy Response

assistant:
1. Let x = Martha's Bedroom Area. 2. Jenny's Bedroom Area = x + 60. 3. Total Area = Jenny's Area + Martha's Area = 300. 4. (x + 60) + x = 300. 5. 2x + 60 = 300. 6. 2x = 240. 7. x = 120. \boxed{120}

Reward

Reward components
key value
reference_answer 120
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
The square footage of the two bedrooms in the apartment that Jenny and Martha share totals 300 square feet. If Jenny's bedroom is 60 square feet larger than Martha's, how large, in square feet, is Martha's bedroom?

Policy Response

assistant:
1. Let x = Martha's Bedroom Area. 2. Jenny's Bedroom Area = x + 60. 3. Total Area = Jenny's Area + Martha's Area. 4. 300 = (x + 60) + x. 5. 300 = 2x + 60. 6. 240 = 2x. 7. x = 120. \boxed{120}

Reward

Reward components
key value
reference_answer 120
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
The square footage of the two bedrooms in the apartment that Jenny and Martha share totals 300 square feet. If Jenny's bedroom is 60 square feet larger than Martha's, how large, in square feet, is Martha's bedroom?

Policy Response

assistant:
1. Let x be Martha's bedroom area. 2. Jenny's bedroom area = x + 60. 3. Total Area = Margaret's Area + Jenny's Area. 4. 300 = x + (x + 60). 5. 300 = 2x + 60. 6. 240 = 2x. 7. x = 120. \boxed{120}

Reward

Reward components
key value
reference_answer 120
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
The square footage of the two bedrooms in the apartment that Jenny and Martha share totals 300 square feet. If Jenny's bedroom is 60 square feet larger than Martha's, how large, in square feet, is Martha's bedroom?

Policy Response

assistant:
1. Let M = Martha's bedroom area. 2. Jenny's bedroom area = M + 60. 3. Total Area = M + (M + 60) = 300. 4. 2M + 60 = 300. 5. 2M = 300 - 60. 6. 2M = 240. 7. M = 240 / 2. 8. M = 120. \boxed{120}

Reward

Reward components
key value
reference_answer 120
format_valid True
correct True
format_coef 0.1
reward 1.000

Trajectory Details

Trajectory 0 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 103
ac_len 103
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 1 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 103
ac_len 103
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 2 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 103
ac_len 102
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 3 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 103
ac_len 119
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 4 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 103
ac_len 103
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 5 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 103
ac_len 108
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 6 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 103
ac_len 121
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 7 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 103
ac_len 92
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Group Rollout

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Sammy has 2 more bottle caps than Janine. Janine has 3 times as many bottle caps as Billie. If Billie has 2 bottle caps, how many does Sammy have?

Policy Response

assistant:
1. Bottle Caps for Billie = 2. 2. Bottle Caps for Janine = 3 * Bottle Caps for Billie = 3 * 2 = 6. 3. Bottle Caps for Sammy = Bottle Caps for Janine + 2 = 6 + 2 = 8. \boxed{8}

Reward

Reward components
key value
reference_answer 8
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Sammy has 2 more bottle caps than Janine. Janine has 3 times as many bottle caps as Billie. If Billie has 2 bottle caps, how many does Sammy have?

Policy Response

assistant:
1. Bottle Caps for Billie = 2. 2. Bottle Caps for Janine = 3 * Bottle Caps for Billie = 3 * 2 = 6. 3 Bottle Caps for Sammy = Bottle Caps for Janine + 2 = 6 + 2 = 8. \boxed{8}

Reward

Reward components
key value
reference_answer 8
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Sammy has 2 more bottle caps than Janine. Janine has 3 times as many bottle caps as Billie. If Billie has 2 bottle caps, how many does Sammy have?

Policy Response

assistant:
1. Bottle Caps for Billie = 2. 2. Bottle Caps for Janine = 3 * Bottle Caps for Billie = 3 * 2 = 6. 3. Bottle Caps for Sammy = Janine Bottle Caps + 2 = 6 + 2 = 8. \boxed{8}

Reward

Reward components
key value
reference_answer 8
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Sammy has 2 more bottle caps than Janine. Janine has 3 times as many bottle caps as Billie. If Billie has 2 bottle caps, how many does Sammy have?

Policy Response

assistant:
1. Bottle Caps for Billie = 2. 2. Bottle Caps for Janine = 3 * Bottle Caps for Billie = 3 * 2 = 6. 3 Bottle Caps for Sammy = Bottle Caps for Janine + 2 = 6 + 2 = 8. \boxed{8}

Reward

Reward components
key value
reference_answer 8
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Sammy has 2 more bottle caps than Janine. Janine has 3 times as many bottle caps as Billie. If Billie has 2 bottle caps, how many does Sammy have?

Policy Response

assistant:
1. Bottle Caps for Billie = 2. 2. Bottle Caps for Janine = 3 * Bottle Caps for Billie = 3 * 2 = 6. 3. Bottle Caps for Sammy = Bottle Caps for Janine + 2 = 6 + 2 = 8. \boxed{8}

Reward

Reward components
key value
reference_answer 8
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Sammy has 2 more bottle caps than Janine. Janine has 3 times as many bottle caps as Billie. If Billie has 2 bottle caps, how many does Sammy have?

Policy Response

assistant:
1. Billie's Bottle Caps = 2 bottle caps. 2. Janine's Bottle Caps = 3 * Billie's Bottle Caps = 3 * 2 = 6 bottle caps. 3. Sammy's Bottle Caps = Janine's Bottle Caps + 2 = 6 + 2 = 8 bottle caps. \boxed{8}

Reward

Reward components
key value
reference_answer 8
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Sammy has 2 more bottle caps than Janine. Janine has 3 times as many bottle caps as Billie. If Billie has 2 bottle caps, how many does Sammy have?

Policy Response

assistant:
1. Bottle Caps for Billie = 2. 2. Bottle Caps for Janine = 3 * Bottle Caps for Billie = 3 * 2 = 6. 3. Bottle Caps for Sammy = Bottle Caps for Janine + 2 = 6 + 2 = 8. \boxed{8}

Reward

Reward components
key value
reference_answer 8
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Sammy has 2 more bottle caps than Janine. Janine has 3 times as many bottle caps as Billie. If Billie has 2 bottle caps, how many does Sammy have?

Policy Response

assistant:
1. Bottle Caps for Billie = 2. 2. Bottle Caps for Janine = 3 * Bottle Caps for Billie = 3 * 2 = 6. 3 Bottle Caps for Sammy = Bottle Caps for Janine + 2 = 6 + 2 = 8. \boxed{8}

Reward

Reward components
key value
reference_answer 8
format_valid True
correct True
format_coef 0.1
reward 1.000

Trajectory Details

Trajectory 0 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 94
ac_len 70
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 1 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 94
ac_len 77
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 2 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 94
ac_len 70
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 3 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 94
ac_len 71
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 4 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 94
ac_len 70
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 5 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 94
ac_len 71
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 6 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 94
ac_len 70
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 7 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 94
ac_len 71
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Group Rollout

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Peter carried $500 to the market. He bought 6 kilos of potatoes for $2 per kilo, 9 kilos of tomato for $3 per kilo, 5 kilos of cucumbers for $4 per kilo, and 3 kilos of bananas for $5 per kilo. How much is Peter’s remaining money?

Policy Response

assistant:
1. Potatoes Cost = Kilo * Price = 6 kilos * $2/kylo = $12. 2. Tomatoes Cost = Kilo * Price = 9 kilos * $3/kylo = $27. 3. Cucumbers Cost = Kilo * Price = 5 kilos * $4/kylo = $20. 4. Bananas Cost = Kilo * Price = 3 kilos * $5/kylo = $15. 5. Total Expenses = Potatoes + Tomatoes + Cucumbers + Bananas Total Expenses = $12 + $27 + $20 + $15 = $74. 6. Remaining Money = Initial Money - Total Expenses Remaining Money = $500 - $74 = $426. \boxed{426}

Reward

Reward components
key value
reference_answer 426
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Peter carried $500 to the market. He bought 6 kilos of potatoes for $2 per kilo, 9 kilos of tomato for $3 per kilo, 5 kilos of cucumbers for $4 per kilo, and 3 kilos of bananas for $5 per kilo. How much is Peter’s remaining money?

Policy Response

assistant:
1. **Potatoes Cost** = Kilos * Price = 6 kilos * $2/kiro = $12. 2. **Tomatoes Cost** = Kilos * Price = 9 kilos * $3/kiro = $27. 3. **Cucumbers Cost** = Kilos * Price = 5 kilos * $4/kiro = $20. 4. **Bananas Cost** = Kilos * Price = 3 kilos * $5/kiro = $15. 5. **Total Spent** = Potatoes + Tomatoes + Cucumbers + Bananas Total = $12 + $27 + $20 + $15 = $74. 6. **Remaining Money** = Initial Money - Total Spent Remaining = $500 - $74 = $426. \boxed{426}

Reward

Reward components
key value
reference_answer 426
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Peter carried $500 to the market. He bought 6 kilos of potatoes for $2 per kilo, 9 kilos of tomato for $3 per kilo, 5 kilos of cucumbers for $4 per kilo, and 3 kilos of bananas for $5 per kilo. How much is Peter’s remaining money?

Policy Response

assistant:
1. *Potatoes Cost* = Kilo * Price = 6 kilos * $2/ kilo = $12. 2. *Tomatoes Cost* = 9 kilos * $3/ kilo = $27. 3. *Cucumbers Cost* = 5 kilos * $4/ kilo = $20. 4. *Bananas Cost* = 3 kilos * $5/ kilo = $15. 5. *Total Expenses* = $12 + $27 + $20 + $15 = $74. 6. *Remaining Money* = Initial Money - Total Expenses = $500 - $74 = $426. \boxed{426}

Reward

Reward components
key value
reference_answer 426
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Peter carried $500 to the market. He bought 6 kilos of potatoes for $2 per kilo, 9 kilos of tomato for $3 per kilo, 5 kilos of cucumbers for $4 per kilo, and 3 kilos of bananas for $5 per kilo. How much is Peter’s remaining money?

Policy Response

assistant:
1. *Potatoes Cost* = Potatoes Kilo * Price Per Kilo = 6 kilos * $2 = $12. 2. *Tomatoes Cost* = Tomatoes Kilo * Price Per Kilo = 9 kilos * $3 = $27. 3. *Cucumbers Cost* = Cucumbers Kilo * Price Per Kilo = 5 kilos * $4 = $20. 4. *Bananas Cost* = Bananas Kilo * Price Per Kilo = 3 kilos * $5 = $15. 5. *Total Spent* = Potatoes + Tomatoes + Cucumbers + Bananas = $12 + $27 + $20 + $15 = $74. 6. *Remaining Money* = Initial Money - Total Spent = $500 - $74 = $426. \boxed{426}

Reward

Reward components
key value
reference_answer 426
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Peter carried $500 to the market. He bought 6 kilos of potatoes for $2 per kilo, 9 kilos of tomato for $3 per kilo, 5 kilos of cucumbers for $4 per kilo, and 3 kilos of bananas for $5 per kilo. How much is Peter’s remaining money?

Policy Response

assistant:
1. *Potatoes Cost* = Potatoes Quantity * Potatoes Price * Potatoes Cost = 6 kilos * $2 / kilo = $12 2. *Tomatoes Cost* = Tomatoes Quantity * Tomatoes Price * Tomatoes Cost = 9 kilos * $3 / kilo = $27 3. *Cucumbers Cost* = Cucumbers Quantity * Cucumbers Price * Cucumbers Cost = 5 kilos * $4 / kilo = $20 4. *Bananas Cost* = Bananas Quantity * Bananas Price * Bananas Cost = 3 kilos * $5 / kilo = $15 5. *Total Expenses* = Potatoes Cost + Tomatoes Cost + Cucumbers Cost + Bananas Cost * Total Expenses = $12 + $27 + $20 + $15 = $74 6. *Remaining Money* = Initial Money - Total Expenses * Remaining Money = $500 - $74 = $426 \boxed{426}

Reward

Reward components
key value
reference_answer 426
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Peter carried $500 to the market. He bought 6 kilos of potatoes for $2 per kilo, 9 kilos of tomato for $3 per kilo, 5 kilos of cucumbers for $4 per kilo, and 3 kilos of bananas for $5 per kilo. How much is Peter’s remaining money?

Policy Response

assistant:
1. Potatoes Cost = Kilos * Price = 6 kilos * $2/kiro = $12. 2. Tomatoes Cost = Kilos * Price = 9 kilos * $3/kiro = $27. 3. Cucumbers Cost = Kilos * Price = 5 kilos * $4/kiro = $20. 4. Bananas Cost = Kilos * Price = 3 kilos * $5/kiro = $15. Total Spent = Potatoes + Tomatoes + Cucumbers + Bananas Total Spent = $12 + $27 + $20 + $15 = $74. Remaining Money = Initial Money - Total Spent Remaining Money = $500 - $74 = $426. \boxed{426}

Reward

Reward components
key value
reference_answer 426
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Peter carried $500 to the market. He bought 6 kilos of potatoes for $2 per kilo, 9 kilos of tomato for $3 per kilo, 5 kilos of cucumbers for $4 per kilo, and 3 kilos of bananas for $5 per kilo. How much is Peter’s remaining money?

Policy Response

assistant:
1. Potatoes Cost = Potatoes Quantity * Potatoes Price = 6 kilos * $2/kiro = $12. 2. Tomatoes Cost = Tomatoes Quantity * Tomatoes Price = 9 kilos * $3/kiro = $27. 3. Cucumbers Cost = Cucumbers Quantity * Cucumbers Price = 5 kilos * $4/kiro = $20. 4. Bananas Cost = Bananas Quantity * Bananas Price = 3 kilos * $5/kiro = $15. 5 Total Spending = Potatoes Cost + Tomatoes Cost + Cucumbers Cost + Bananas Cost Total Spending = 12 + 27 + 20 + 15 = 74. 6 Remaining Money = Initial Money - Total Spending Remaining Money = 500 - 74 = 426. \boxed{426}

Reward

Reward components
key value
reference_answer 426
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Peter carried $500 to the market. He bought 6 kilos of potatoes for $2 per kilo, 9 kilos of tomato for $3 per kilo, 5 kilos of cucumbers for $4 per kilo, and 3 kilos of bananas for $5 per kilo. How much is Peter’s remaining money?

Policy Response

assistant:
1. **Potatoes Cost:** * Kilo purchased = 6 kilos * Price per Kilo = $2 * Total = 6 * $2 = $12 2. **Tomatoes Cost:** * Kilo purchased = 9 kilos * Price per Kilo = $3 * Total = 9 * $3 = $27 3. **Cucumbers Cost:** * Kilo purchased = 5 kilos * Price per Kilo = $4 * Total = 5 * $4 = $20 4. **Bananas Cost:** * Kilo purchased = 3 kilos * Price per Kilo = $5 * Total = 3 * $5 = $15 5. **Total Expenses:** * $12 + $27 + $20 + $15 = $64 6. **Initial Money:** * $500 7. **Remaining Money:** * $500 - $64 = $436 \boxed{436}

Reward

Reward components
key value
reference_answer 426
format_valid True
correct False
format_coef 0.1
reward 0.000

Trajectory Details

Trajectory 0 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 122
ac_len 200
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 1 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 122
ac_len 202
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 2 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 122
ac_len 244
step_reward 0.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 0.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 0.000
final_group_reward 0.000
total_return 0.000

Trajectory 3 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 122
ac_len 183
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 4 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 122
ac_len 234
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 5 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 122
ac_len 199
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 6 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 122
ac_len 159
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 7 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 122
ac_len 186
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Group Rollout

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Sandra had 2 different bags of candy. Each of her bags had 6 pieces of candy left. Her brother, Roger, also had 2 bags of candy. One of his bags of candy had 11 pieces left and the other had 3 pieces left. How much more candy did Roger have?

Policy Response

assistant:
1. Candy per Bag for Sandra: * Bag 1 = 6 pieces * Bag 2 = 6 pieces * Total for Sandra = 6 pieces + 6 pieces = 12 pieces 2. Candy per Bag for Roger: * Bag 1 = 11 pieces * Bag 2 = 3 pieces * Total for Roger = 11 pieces + 3 pieces = 14 pieces 3. Difference: * Roger Total - Sandra Total = 14 - 12 = 2 \boxed{2}

Reward

Reward components
key value
reference_answer 2
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Sandra had 2 different bags of candy. Each of her bags had 6 pieces of candy left. Her brother, Roger, also had 2 bags of candy. One of his bags of candy had 11 pieces left and the other had 3 pieces left. How much more candy did Roger have?

Policy Response

assistant:
1. Candy per Bag for Sandra: - Bag 1: 6 pieces - Bag 2: 6 pieces 2. Total Candy for Sandra: 6 pieces/Bag * 2 Bags = 12 pieces 3. Candy per Bag for Roger: - Bag 1: 11 pieces - Bag 2: 3 pieces 4. Total Candy for Roger: 11 pieces + 3 pieces = 14 pieces 5. Difference: Roger's Total - Sandra's Total = 14 - 12 = 2 pieces \boxed{2}

Reward

Reward components
key value
reference_answer 2
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Sandra had 2 different bags of candy. Each of her bags had 6 pieces of candy left. Her brother, Roger, also had 2 bags of candy. One of his bags of candy had 11 pieces left and the other had 3 pieces left. How much more candy did Roger have?

Policy Response

assistant:
1. Candy per Bag for Sandra: - Bag 1: 6 pieces. - Bag 2: 6 pieces. - Total for Sandra = 6 + 6 = 12 pieces. 2. Candy per Bag for Roger: - Bag 1: 11 pieces. - Bag 2: 3 pieces. - Total for Roger = 11 + 3 = 14 pieces. 3. Difference: - Roger - Sandra = 14 - 12 = 2 pieces. \boxed{2}

Reward

Reward components
key value
reference_answer 2
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Sandra had 2 different bags of candy. Each of her bags had 6 pieces of candy left. Her brother, Roger, also had 2 bags of candy. One of his bags of candy had 11 pieces left and the other had 3 pieces left. How much more candy did Roger have?

Policy Response

assistant:
1. Candy per Bag for Sandra: - Bag 1 = 6 pieces - Bag 2 = 6 pieces 2. Total Candy for Sandra = Bag 1 + Bag 2 = 6 + 6 = 12 pieces. 3. Candy for Roger: - Bag 1 = 11 pieces - Bag 2 = 3 pieces - Total = 11 + 3 = 14 pieces. 4. Difference = Roger's Total - Sandra's Total = 14 - 12 = 2 pieces. \boxed{2}

Reward

Reward components
key value
reference_answer 2
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Sandra had 2 different bags of candy. Each of her bags had 6 pieces of candy left. Her brother, Roger, also had 2 bags of candy. One of his bags of candy had 11 pieces left and the other had 3 pieces left. How much more candy did Roger have?

Policy Response

assistant:
1. Candy Left for Sandra: - Bags = 2 bags - Candy per Bag = 6 pieces - Total Candy = Bags * Candy per Bag = 2 * 6 = 12 pieces. 2. Candy Left for Roger: - Bag 1 = 11 pieces - Bag 2 = 3 pieces - Total Candy = 11 + 3 = 14 pieces. 3. Candy Difference: - Roger - Sandra = 14 - 12 = 2 pieces. \boxed{2}

Reward

Reward components
key value
reference_answer 2
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Sandra had 2 different bags of candy. Each of her bags had 6 pieces of candy left. Her brother, Roger, also had 2 bags of candy. One of his bags of candy had 11 pieces left and the other had 3 pieces left. How much more candy did Roger have?

Policy Response

assistant:
1. **Candy from Sandra:** - Bags = 2 bags. - Candy per Bag = 6 pieces. - Total Candy = Bags * Candy per Bag = 2 * 6 = 12 pieces. 2. **Candy from Roger:** - Bag 1 = 11 pieces. - Bag 2 = 3 pieces. - Total Candy = 11 + 3 = 14 pieces. 3. **Difference:** - Roger Total - Sandra Total = 14 - 12 = 2 pieces. \boxed{2}

Reward

Reward components
key value
reference_answer 2
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Sandra had 2 different bags of candy. Each of her bags had 6 pieces of candy left. Her brother, Roger, also had 2 bags of candy. One of his bags of candy had 11 pieces left and the other had 3 pieces left. How much more candy did Roger have?

Policy Response

assistant:
1. Candy per Bag for Sandra: - Bag 1 = 6 pieces - Bag 2 = 6 pieces 2. Total Bags for Sandra = 2 3. Total Candy for Sandra = Bags * Candy per Bag = 2 * 6 = 12 pieces. 4. Candy Left for Roger: - Bag 1 = 11 pieces - Bag 2 = 3 pieces 5. Total Candy for Roger = 11 + 3 = 14 pieces. 6. Total Bags for Roger = 2 7. Candy Per Bag = Total / Bags = 14 / 2 = 7 pieces. 8. Comparison: - Roger Total - Sandra Total = 14 - 12 = 2 pieces. \boxed{2}

Reward

Reward components
key value
reference_answer 2
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Sandra had 2 different bags of candy. Each of her bags had 6 pieces of candy left. Her brother, Roger, also had 2 bags of candy. One of his bags of candy had 11 pieces left and the other had 3 pieces left. How much more candy did Roger have?

Policy Response

assistant:
1. Candy per Bag for Sandra: - Bag 1 = 6 pieces - Bag 2 = 6 pieces 2. Total Candy for Sandra: - 6 pieces/Bag * 2 Bags = 12 pieces 3. Candy per Bag for Roger: - Bag 1 = 11 pieces - Bag 2 = 3 pieces 4. Total Candy for Roger: - 11 pieces + 3 pieces = 14 pieces 5. Difference: - Roger Total - Sandra Total = 14 - 12 = 2 pieces \boxed{2}

Reward

Reward components
key value
reference_answer 2
format_valid True
correct True
format_coef 0.1
reward 1.000

Trajectory Details

Trajectory 0 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 121
ac_len 139
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 1 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 121
ac_len 128
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 2 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 121
ac_len 132
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 3 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 121
ac_len 138
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 4 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 121
ac_len 177
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 5 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 121
ac_len 135
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 6 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 121
ac_len 127
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 7 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 121
ac_len 130
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000