RL Iteration 20

Generated 2026-06-11T16:39:07

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:
Colin can skip at six times the speed that Brandon can. Brandon can skip at one-third the speed that Tony can. And Tony can skip at twice the speed that Bruce can. At what speed, in miles per hour, can Colin skip if Bruce skips at 1 mile per hour?

Policy Response

assistant:
1. **Speed of Bruce:** 1 mile per hour. 2. **Speed of Tony:** 2 * Speed of Bruce = 2 * 1 = 2 miles per hour. 3. **Speed of Brandon:** 1/3 * Speed of Tony = 1/3 * 2 = 2/3 miles per hour. 4. **Speed of Colin:** 6 * Speed of Brandon = 6 * 2/3 = 4 miles per hour. \boxed{4}

Reward

Reward components
key value
reference_answer 4
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:
Colin can skip at six times the speed that Brandon can. Brandon can skip at one-third the speed that Tony can. And Tony can skip at twice the speed that Bruce can. At what speed, in miles per hour, can Colin skip if Bruce skips at 1 mile per hour?

Policy Response

assistant:
1. Bruce Speed = 1 mile per hour 2. Tony Speed = 2 * Bruce Speed = 2 * 1 = 2 miles per hour 3. Brandon Speed = 1/3 * Tony Speed = 1/3 * 2 = 2/3 miles per hour 4. Colin Speed = 6 * Brandon Speed = 6 * 2/3 = 4 miles per hour \boxed{4}

Reward

Reward components
key value
reference_answer 4
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:
Colin can skip at six times the speed that Brandon can. Brandon can skip at one-third the speed that Tony can. And Tony can skip at twice the speed that Bruce can. At what speed, in miles per hour, can Colin skip if Bruce skips at 1 mile per hour?

Policy Response

assistant:
1. **Colin's Speed** = 6 * Brandon's Speed 2. **Brandon's Speed** = 1/3 * Tony's Speed 3. **Tony's Speed** = 2 * Bruce's Speed 4. **Bruce's Speed** = 1 mile per hour 5. **Tony's Speed** = 2 * 1 = 2 mph 6. **Brandon's Speed** = 1/3 * 2 = 2/3 mph 7. **Colin's Speed** = 6 * 2/3 = 4 mph \boxed{4}

Reward

Reward components
key value
reference_answer 4
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:
Colin can skip at six times the speed that Brandon can. Brandon can skip at one-third the speed that Tony can. And Tony can skip at twice the speed that Bruce can. At what speed, in miles per hour, can Colin skip if Bruce skips at 1 mile per hour?

Policy Response

assistant:
1. Speed of Brandon = 1/3 * Speed of Tony 2. Speed of Tony = 2 * Speed of Bruce 3. Speed of Bruce = 1 mile per hour 4. Speed of Tony = 2 * 1 = 2 miles per hour 5. Speed of Brandon = 1/3 * 2 = 2/3 miles per hour 6. Speed of Colin = 6 * Speed of Brandon = 6 * 2/3 = 4 miles per hour \boxed{4}

Reward

Reward components
key value
reference_answer 4
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:
Colin can skip at six times the speed that Brandon can. Brandon can skip at one-third the speed that Tony can. And Tony can skip at twice the speed that Bruce can. At what speed, in miles per hour, can Colin skip if Bruce skips at 1 mile per hour?

Policy Response

assistant:
1. **Bruce Speed:** 1 mile per hour. 2. **Tony Speed:** 2 * Bruce Speed = 2 * 1 = 2 miles per hour. 3. **Brandon Speed:** 1/3 * Tony Speed = 1/3 * 2 = 2/3 miles per hour. 4. **Colin Speed:** 6 * Brandon Speed = 6 * 2/3 = 4 miles per hour. \boxed{4}

Reward

Reward components
key value
reference_answer 4
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:
Colin can skip at six times the speed that Brandon can. Brandon can skip at one-third the speed that Tony can. And Tony can skip at twice the speed that Bruce can. At what speed, in miles per hour, can Colin skip if Bruce skips at 1 mile per hour?

Policy Response

assistant:
1. Speed of Bruce = 1 mile per hour. 2. Speed of Tony = 2 * Speed of Bruce = 2 * 1 = 2 miles per hour. 3. Speed of Brandon = 1/3 * Speed of Tony = 1/3 * 2 = 2/3 miles per hour. 4. Speed of Colin = 6 * Speed of Brandon = 6 * 2/3 = 4 miles per hour. \boxed{4}

Reward

Reward components
key value
reference_answer 4
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:
Colin can skip at six times the speed that Brandon can. Brandon can skip at one-third the speed that Tony can. And Tony can skip at twice the speed that Bruce can. At what speed, in miles per hour, can Colin skip if Bruce skips at 1 mile per hour?

Policy Response

assistant:
1. Speed of Brandon = 1/3 * Speed of Tony 2. Speed of Tony = 2 * Speed of Bruce 3. Speed of Bruce = 1 mph 4. Speed of Tony = 2 * 1 = 2 mph 5. Speed of Brandon = 1/3 * 2 = 2/3 mph 6. Speed of Colin = 6 * Speed of Brandon = 6 * 2/3 = 4 mph \boxed{4}

Reward

Reward components
key value
reference_answer 4
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:
Colin can skip at six times the speed that Brandon can. Brandon can skip at one-third the speed that Tony can. And Tony can skip at twice the speed that Bruce can. At what speed, in miles per hour, can Colin skip if Bruce skips at 1 mile per hour?

Policy Response

assistant:
1. Bruce Speed = 1 mile per hour. 2. Tony Speed = 2 * Bruce Speed = 2 * 1 = 2 mile per hour. 3. Brandon Speed = 1/3 * Tony Speed = 1/3 * 2 = 2/3 mile per hour. 4. Colin Speed = 6 * Brandon Speed = 6 * 2/3 = 4 mile per hour. \boxed{4}

Reward

Reward components
key value
reference_answer 4
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 115
ac_len 113
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 115
ac_len 129
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 115
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 3 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 115
ac_len 98
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 115
ac_len 109
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 115
ac_len 105
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 115
ac_len 94
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 115
ac_len 105
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:
Agatha has some money to spend on a new bike. She spends $15 on the frame, and $25 on the front wheel. If she has $20 left to spend on a seat and handlebar tape, how much money, in dollars, did she have at first?

Policy Response

assistant:
1. Frame Cost: $15 2. Front Wheel Cost: $25 3. Seat and Handlebar Tape: $20 Total = Frame + Front Wheel + Seat and Handlebar Tape Total = 15 + 25 + 20 Total = 60 \boxed{60}

Reward

Reward components
key value
reference_answer 60
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:
Agatha has some money to spend on a new bike. She spends $15 on the frame, and $25 on the front wheel. If she has $20 left to spend on a seat and handlebar tape, how much money, in dollars, did she have at first?

Policy Response

assistant:
1. **Frame Cost**: $15 2. **Front Wheel Cost**: $25 3. **Seat and Handlebar Tape Cost**: $20 4. **Total Spent**: Frame + Front Wheel + Seat + Handlebar Tape 5. **Total** = 15 + 25 + 20 6. **Total** = 60 \boxed{60}

Reward

Reward components
key value
reference_answer 60
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:
Agatha has some money to spend on a new bike. She spends $15 on the frame, and $25 on the front wheel. If she has $20 left to spend on a seat and handlebar tape, how much money, in dollars, did she have at first?

Policy Response

assistant:
1. Frame Cost = $15 2. Front Wheel Cost = $25 3. Seat & Handlebar Tape Cost = $20 4. Total = Frame + Front Wheel + Seat & Handlebar Tape 5. Total = 15 + 25 + 20 6. Total = 60 \boxed{60}

Reward

Reward components
key value
reference_answer 60
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:
Agatha has some money to spend on a new bike. She spends $15 on the frame, and $25 on the front wheel. If she has $20 left to spend on a seat and handlebar tape, how much money, in dollars, did she have at first?

Policy Response

assistant:
1. Spent on frame = $15 2. Spent on front wheel = 25 3. Spent on seat and handlebar tape = 20 4. Total = Frame + Front Wheel + Seat 5. Total = 15 + 25 + 20 6. Total = 60 \boxed{60}

Reward

Reward components
key value
reference_answer 60
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:
Agatha has some money to spend on a new bike. She spends $15 on the frame, and $25 on the front wheel. If she has $20 left to spend on a seat and handlebar tape, how much money, in dollars, did she have at first?

Policy Response

assistant:
1. Frame Cost = $15 2. Front Wheel Cost = $25 3. Seat and Handlebar Tape = $20 4. Total = Frame + Front Wheel + Seat + Handlebar 5. Total = 15 + 25 + 20 6. Total = 60 \boxed{60}

Reward

Reward components
key value
reference_answer 60
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:
Agatha has some money to spend on a new bike. She spends $15 on the frame, and $25 on the front wheel. If she has $20 left to spend on a seat and handlebar tape, how much money, in dollars, did she have at first?

Policy Response

assistant:
1. **Frame Cost:** $15 2. **Front Wheel Cost:** $25 3. **Seat & Handlebar Tape Cost:** $20 4. **Total Cost** = Frame + Front Wheel + Seat & Handlebar Tape 5. **Total Cost** = 15 + 25 + 20 6. **Total Cost** = 60 \boxed{60}

Reward

Reward components
key value
reference_answer 60
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:
Agatha has some money to spend on a new bike. She spends $15 on the frame, and $25 on the front wheel. If she has $20 left to spend on a seat and handlebar tape, how much money, in dollars, did she have at first?

Policy Response

assistant:
1. Spent on Frame: $15 2. Spent on Front Wheel: $25 3. Spent on Seat and Handlebar Tape: $20 4. Total = Frame + Front Wheel + Seat and Handlebar Tape 5. Total = 15 + 25 + 20 6. Total = 60 \boxed{60}

Reward

Reward components
key value
reference_answer 60
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:
Agatha has some money to spend on a new bike. She spends $15 on the frame, and $25 on the front wheel. If she has $20 left to spend on a seat and handlebar tape, how much money, in dollars, did she have at first?

Policy Response

assistant:
1. **Frame Cost**: $15 2. **Front Wheel Cost**: $25 3. **Seat and Handlebar Tape Cost**: $20 1. **Total Spent** = Frame + Front Wheel + Seat + Handlebar Tape 2. **Total Spent** = 15 + 25 + 20 3. **Total Spent** = 60 4. **Machinery at First** = Total Spent 5. 60 \boxed{60}

Reward

Reward components
key value
reference_answer 60
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 113
ac_len 88
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 113
ac_len 112
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 113
ac_len 80
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 113
ac_len 84
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 113
ac_len 78
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 113
ac_len 76
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 113
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 7 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 113
ac_len 90
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:
Jenna wants to buy a concert ticket that costs $181, plus five drink tickets for $7 each. If Jenna earns $18 an hour and works 30 hours a week, what percentage of her monthly salary will she spend on this outing?

Policy Response

assistant:
1. **Concert Ticket Cost:** $181 2. **Drink Tickets:** 5 tickets * $7 = 35 3. **Total Cost:** 181 + 35 = 216 4. **Earnings per Week:** 18 * 30 = 54 5. **Earnings per Month:** 54 * 4 = 216 (4 weeks per month) 6. **Percentage:** (216 / 216) * 100 = 100% \boxed{100%}

Reward

Reward components
key value
reference_answer 10
format_valid False
correct False
format_coef 0.1
reward -0.100

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:
Jenna wants to buy a concert ticket that costs $181, plus five drink tickets for $7 each. If Jenna earns $18 an hour and works 30 hours a week, what percentage of her monthly salary will she spend on this outing?

Policy Response

assistant:
1. **Concert Ticket Cost:** $181 2. **Drink Ticket Cost:** 5 drink tickets * $7 = 35 3. **Total Outing Cost:** 181 + 35 = 216 4. **Earnings Per Week:** 18 hours * 30 weeks = 540 5. **Earnings Per Month:** 540 * 4 = 2160 6. **Percentage:** (216 / 2160) * 100 = 10% \boxed{10%}

Reward

Reward components
key value
reference_answer 10
format_valid False
correct True
format_coef 0.1
reward 0.900

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:
Jenna wants to buy a concert ticket that costs $181, plus five drink tickets for $7 each. If Jenna earns $18 an hour and works 30 hours a week, what percentage of her monthly salary will she spend on this outing?

Policy Response

assistant:
1. **Concert Ticket Cost:** $181 2. **Drink Tickets:** 5 * $7 = 35 3. **Total Outing Cost:** 181 + 35 = 216 4. **Earnings per Week:** 18 * 30 = 54 5. **Earnings per Month:** 54 * 4 weeks = 216 6. **Percentage:** (216 / 216) * 100 = 100% \boxed{100%}

Reward

Reward components
key value
reference_answer 10
format_valid False
correct False
format_coef 0.1
reward -0.100

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:
Jenna wants to buy a concert ticket that costs $181, plus five drink tickets for $7 each. If Jenna earns $18 an hour and works 30 hours a week, what percentage of her monthly salary will she spend on this outing?

Policy Response

assistant:
1. **Concert Ticket Cost:** $181 2. **Drink Ticket Cost:** 5 tickets * $7 = 35 3. **Total Cost:** 181 + 35 = 216 4. **Earnings per Week:** 18 hours * 30 = 54 5. **Earnings per Month (4 weeks):** 54 * 4 = 216 6. **Percentage:** (216 / 216) * 100 = 100% \boxed{100%}

Reward

Reward components
key value
reference_answer 10
format_valid False
correct False
format_coef 0.1
reward -0.100

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:
Jenna wants to buy a concert ticket that costs $181, plus five drink tickets for $7 each. If Jenna earns $18 an hour and works 30 hours a week, what percentage of her monthly salary will she spend on this outing?

Policy Response

assistant:
1. **Concert Ticket Cost:** $181 2. **Drink Ticket Cost:** 5 tickets * $7 = 35 3. **Total Cost:** 181 + 35 = 216 4. **Earnings per Week:** 18 * 30 = 54 5. **Earnings per Month:** 54 * 4 = 216 6. **Percentage:** (216 / 216) * 100% = 100% \boxed{100%}

Reward

Reward components
key value
reference_answer 10
format_valid False
correct False
format_coef 0.1
reward -0.100

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:
Jenna wants to buy a concert ticket that costs $181, plus five drink tickets for $7 each. If Jenna earns $18 an hour and works 30 hours a week, what percentage of her monthly salary will she spend on this outing?

Policy Response

assistant:
1. **Earn per Week:** 18 hours/week * 18 $/hour = 324 $/week 2. Earnings per Month:** 324 $/week * 4 weeks = 1296 $/month 3. **Cost of Outing:** 181 $ + 5 * 7 $ = 181 + 35 = 216 $ 4. **Percentage:** 216 / 1296 = 0.166666... = 16.67% \boxed{16.67%}

Reward

Reward components
key value
reference_answer 10
format_valid False
correct False
format_coef 0.1
reward -0.100

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:
Jenna wants to buy a concert ticket that costs $181, plus five drink tickets for $7 each. If Jenna earns $18 an hour and works 30 hours a week, what percentage of her monthly salary will she spend on this outing?

Policy Response

assistant:
1. **Concert Ticket Cost:** $181 2. **Drink Tickets Cost:** 5 tickets * $7 = 35 3. **Total Outing Cost:** 181 + 35 = 216 4. **Earnings per Week:** 18 hours * 30 = 54 5. **Earnings per Month (4 Weeks):** 54 * 4 = 216 6. **Percentage:** (216 / 216) * 100 = 100 \boxed{100%}

Reward

Reward components
key value
reference_answer 10
format_valid False
correct False
format_coef 0.1
reward -0.100

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:
Jenna wants to buy a concert ticket that costs $181, plus five drink tickets for $7 each. If Jenna earns $18 an hour and works 30 hours a week, what percentage of her monthly salary will she spend on this outing?

Policy Response

assistant:
1. **Concert Ticket Cost:** $181 2. **Drink Ticket Cost:** 5 tickets * $7 = 35 3. **Total Outing Cost:** 181 + 35 = 216 4. **Earnings Per Week:** 18 * 30 = 54 5. **Earnings Per Month:** 54 * 4 (Weeks per Month) = 216 6. **Percentage:** (216 / 216) * 100 = 100% \boxed{100%}

Reward

Reward components
key value
reference_answer 10
format_valid False
correct False
format_coef 0.1
reward -0.100

Trajectory Details

Trajectory 0 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 107
ac_len 139
step_reward -0.100
Step Metrics
Metrics emitted by env.step
key value
format 0.000
correct 0.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards -0.100
final_group_reward 0.000
total_return -0.100

Trajectory 1 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 107
ac_len 135
step_reward -0.100
Step Metrics
Metrics emitted by env.step
key value
format 0.000
correct 0.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards -0.100
final_group_reward 0.000
total_return -0.100

Trajectory 2 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 107
ac_len 132
step_reward -0.100
Step Metrics
Metrics emitted by env.step
key value
format 0.000
correct 0.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards -0.100
final_group_reward 0.000
total_return -0.100

Trajectory 3 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 107
ac_len 128
step_reward -0.100
Step Metrics
Metrics emitted by env.step
key value
format 0.000
correct 0.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards -0.100
final_group_reward 0.000
total_return -0.100

Trajectory 4 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 107
ac_len 132
step_reward -0.100
Step Metrics
Metrics emitted by env.step
key value
format 0.000
correct 0.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards -0.100
final_group_reward 0.000
total_return -0.100

Trajectory 5 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 107
ac_len 134
step_reward 0.900
Step Metrics
Metrics emitted by env.step
key value
format 0.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 0.900
final_group_reward 0.000
total_return 0.900

Trajectory 6 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 107
ac_len 131
step_reward -0.100
Step Metrics
Metrics emitted by env.step
key value
format 0.000
correct 0.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards -0.100
final_group_reward 0.000
total_return -0.100

Trajectory 7 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 107
ac_len 128
step_reward -0.100
Step Metrics
Metrics emitted by env.step
key value
format 0.000
correct 0.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards -0.100
final_group_reward 0.000
total_return -0.100

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:
Don can paint 3 tiles a minute, Ken can paint 2 more tiles a minute than Don and Laura can paint twice as many tiles as Ken. Kim can paint 3 fewer tiles than Laura can in a minute. How many tiles can Don, Ken, Laura and Kim paint in 15 minutes?

Policy Response

assistant:
1. **Don's tiles per minute:** 3 tiles. 2. **Ken's tiles per minute:** 3 + 2 = 5 tiles. 3. **Laura's tiles per minute:** 5 * 2 = 10 tiles. 4. **Kim's tiles per minute:** 10 - 3 = 7 tiles. 5. **Total tiles per minute:** 3 (Don) + 5 (Ken) + 10 (Laura) + 7 (Kim) = 25 tiles. 6. **15 Minutes:** 25 tiles/minute * 15 minutes = 375 tiles. \boxed{375}

Reward

Reward components
key value
reference_answer 375
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:
Don can paint 3 tiles a minute, Ken can paint 2 more tiles a minute than Don and Laura can paint twice as many tiles as Ken. Kim can paint 3 fewer tiles than Laura can in a minute. How many tiles can Don, Ken, Laura and Kim paint in 15 minutes?

Policy Response

assistant:
1. **Don's Rate:** 3 tiles per minute. 2. **Ken's Rate:** 2 more than Don = 3 + 2 = 5 tiles per minute. 3. **Laura's Rate:** 2 * Ken = 2 * 5 = 10 tiles per minute. 4. **Kim's Rate:** 3 fewer than Laura = 10 - 3 = 7 tiles per minute. 5. **Total Tiles per Minute:** 3 + 5 + 10 + 7 = 25 tiles per minute. 6. **15 Minutes:** 25 tiles/minute * 15 minutes = 375 tiles. \boxed{375}

Reward

Reward components
key value
reference_answer 375
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:
Don can paint 3 tiles a minute, Ken can paint 2 more tiles a minute than Don and Laura can paint twice as many tiles as Ken. Kim can paint 3 fewer tiles than Laura can in a minute. How many tiles can Don, Ken, Laura and Kim paint in 15 minutes?

Policy Response

assistant:
1. **Don's rate:** 3 tiles per minute. 2. **Ken's rate:** 2 more than Don = 3 + 2 = 5 tiles per minute. 3. **Laura's rate:** 2 * Ken = 2 * 5 = 10 tiles per minute. 4. **Kim's rate:** 3 fewer than Laura = 10 - 3 = 7 tiles per minute. 5. **Total Tiles per Minute:** 3 (Don) + 5 (Ken) + 10 (Laura) + 7 (Kim) = 25 tiles per minute. 6. **15 Minutes:** 25 tiles per minute * 15 minutes = 375 tiles. \boxed{375}

Reward

Reward components
key value
reference_answer 375
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:
Don can paint 3 tiles a minute, Ken can paint 2 more tiles a minute than Don and Laura can paint twice as many tiles as Ken. Kim can paint 3 fewer tiles than Laura can in a minute. How many tiles can Don, Ken, Laura and Kim paint in 15 minutes?

Policy Response

assistant:
1. **Don's rate:** 3 tiles per minute. 2. **Ken's rate:** 2 more than Don = 3 + 2 = 5 tiles per minute. 3. **Laura's rate:** 2 * Ken = 2 * 5 = 10 tiles per minute. 4. **Kim's rate:** 3 fewer than Laura = 10 - 3 = 7 tiles per minute. 5. **Total rate per minute:** 3 (Don) + 5 (Ken) + 10 (Laura) + 7 (Kim) = 25 tiles per minute. 6. **Time:** 15 minutes. 7. **Total Tiles:** 25 tiles/minute * 15 minutes = 375 tiles. \boxed{375}

Reward

Reward components
key value
reference_answer 375
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:
Don can paint 3 tiles a minute, Ken can paint 2 more tiles a minute than Don and Laura can paint twice as many tiles as Ken. Kim can paint 3 fewer tiles than Laura can in a minute. How many tiles can Don, Ken, Laura and Kim paint in 15 minutes?

Policy Response

assistant:
1. **Don's tiles per minute:** 3 tiles. 2. **Ken's tiles per minute:** 3 + 2 = 5 tiles. 3. **Laura's tiles per minute:** 5 * 2 = 10 tiles. 4. **Kim's tiles per minute:** 10 - 3 = 7 tiles. 5. **Total tiles per minute:** 3 + 5 + 10 + 7 = 25 tiles. 6. **Time:** 15 minutes. 7. **Total Tiles:** 25 tiles/minute * 15 minutes = 375 tiles. \boxed{375}

Reward

Reward components
key value
reference_answer 375
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:
Don can paint 3 tiles a minute, Ken can paint 2 more tiles a minute than Don and Laura can paint twice as many tiles as Ken. Kim can paint 3 fewer tiles than Laura can in a minute. How many tiles can Don, Ken, Laura and Kim paint in 15 minutes?

Policy Response

assistant:
1. **Don's tiles per minute:** 3 tiles. 2. **Ken's tiles per minute:** 3 + 2 = 5 tiles. 3. **Laura's tiles per minute:** 5 * 2 = 10 tiles. 4. **Kim's tiles per minute:** 10 - 3 = 7 tiles. 5. **Total tiles per minute:** 3 + 5 + 10 + 7 = 25 tiles. 6. **Time:** 15 minutes. 7. **Total Tiles:** 25 tiles/minute * 15 minutes = 375 tiles. \boxed{375}

Reward

Reward components
key value
reference_answer 375
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:
Don can paint 3 tiles a minute, Ken can paint 2 more tiles a minute than Don and Laura can paint twice as many tiles as Ken. Kim can paint 3 fewer tiles than Laura can in a minute. How many tiles can Don, Ken, Laura and Kim paint in 15 minutes?

Policy Response

assistant:
1. **Don's Rate:** 3 tiles per minute. 2. **Ken's Rate:** 2 more tiles than Don = 3 + 2 = 5 tiles per minute. 3. **Laura's Rate:** Twice as many as Ken = 2 * 5 = 10 tiles per minute. 4. **Kim's Rate:** 3 fewer tiles than Laura = 10 - 3 = 7 tiles per minute. 5. **Total Tiles per Minute:** 3 (Don) + 5 (Ken) + 10 (Laura) + 7 (Kim) = 25 tiles per minute. 6. **15 Minutes:** 25 tiles per minute * 15 minutes = 375 tiles. \boxed{375}

Reward

Reward components
key value
reference_answer 375
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:
Don can paint 3 tiles a minute, Ken can paint 2 more tiles a minute than Don and Laura can paint twice as many tiles as Ken. Kim can paint 3 fewer tiles than Laura can in a minute. How many tiles can Don, Ken, Laura and Kim paint in 15 minutes?

Policy Response

assistant:
1. Don paints 3 tiles a minute. 2. Ken paints 2 more tiles a minute than Don: 3 + 2 = 5 tiles a minute. 3. Laura paints twice as many tiles as Ken: 5 * 2 = 10 tiles a minute. 4. Kim paints 3 fewer tiles than Laura: 10 - 3 = 7 tiles a minute. 5. Total tiles per minute = Don + Ken + Laura + Kim = 3 + 5 + 10 + 7 = 25 tiles a minute. 6. Time = 15 minutes. 7. Total Tiles = 25 tiles/minute * 15 minutes = 375 tiles. \boxed{375}

Reward

Reward components
key value
reference_answer 375
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 116
ac_len 147
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 116
ac_len 168
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 116
ac_len 171
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 116
ac_len 156
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 116
ac_len 165
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 116
ac_len 147
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 116
ac_len 178
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 116
ac_len 149
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