RL Iteration 14

Generated 2026-06-11T16:37:59

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:
Gina's snake eats one mouse every 4 weeks. How many mice will it eat in a decade?

Policy Response

assistant:
Gina's snake eats one mouse every 4 weeks. 1. **Find the total number of weeks in a decade:** 1 decade = 10 years 1 year = 52 weeks 10 years = 10 * 52 = 520 weeks 2. **Find the number of mice:** Mice = Weeks / 4 Mice = 520 / 4 = 130 \boxed{130}

Reward

Reward components
key value
reference_answer 130
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:
Gina's snake eats one mouse every 4 weeks. How many mice will it eat in a decade?

Policy Response

assistant:
Gina's snake eats one mouse every 4 weeks. 1. **Find the number of weeks in a decade:** A decade is 10 years. Weeks per year = 52. Weeks in a decade = 10 * 52 = 520 weeks. 2. **Find the total number of mice:** Mice = 1 mouse / 4 weeks = 0.25 mouse per week. Mice = 0.25 * 520 = 130 mice. \boxed{130}

Reward

Reward components
key value
reference_answer 130
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:
Gina's snake eats one mouse every 4 weeks. How many mice will it eat in a decade?

Policy Response

assistant:
1. Find the number of weeks in a decade: - 1 decade = 10 years - 1 year = 52 weeks - 10 years * 52 weeks = 520 weeks 2. Calculate the total mice eaten: - 520 weeks / 4 weeks = 130 mice \boxed{130}

Reward

Reward components
key value
reference_answer 130
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:
Gina's snake eats one mouse every 4 weeks. How many mice will it eat in a decade?

Policy Response

assistant:
Gina's snake eats one mouse every 4 weeks. 1. **Calculate the number of weeks in a decade:** 1 decade = 10 years 1 year = 52 weeks 10 years = 10 * 52 = 520 weeks 2. **Calculate the total mice eaten:** Mice = 1 mouse / 4 weeks * 520 weeks = 130 mice \boxed{130}

Reward

Reward components
key value
reference_answer 130
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:
Gina's snake eats one mouse every 4 weeks. How many mice will it eat in a decade?

Policy Response

assistant:
Gina's snake eats one mouse every 4 weeks. 1. **Calculate the number of weeks in a decade:** 1 decade = 10 years 1 year = 52 weeks 10 years * 52 weeks = 520 weeks 2. **Calculate the total mice eaten:** Mice = Weeks / 4 Mice = 520 / 4 = 130 \boxed{130}

Reward

Reward components
key value
reference_answer 130
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:
Gina's snake eats one mouse every 4 weeks. How many mice will it eat in a decade?

Policy Response

assistant:
Gina's snake eats one mouse every 4 weeks. 1. Calculate the total number of weeks in a decade (10 years). * Weeks per year = 52 * Years per decade = 10 * Weeks per decade = 52 * 10 = 520 weeks 2. Calculate the total number of mice. * Mice = Weeks per decade / Weeks per mouse * Mice = 520 / 4 = 130 mice \boxed{130}

Reward

Reward components
key value
reference_answer 130
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:
Gina's snake eats one mouse every 4 weeks. How many mice will it eat in a decade?

Policy Response

assistant:
Gina's snake eats one mouse every 4 weeks. 1. Calculate the number of weeks in a decade: 1 decade = 10 years 1 year = 52 weeks 10 years * 52 weeks = 520 weeks 2. Calculate the total number of mice: Mice = 520 weeks / 4 weeks = 130 mice \boxed{130}

Reward

Reward components
key value
reference_answer 130
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:
Gina's snake eats one mouse every 4 weeks. How many mice will it eat in a decade?

Policy Response

assistant:
Gina's snake eats 1 mouse every 4 weeks. 1. **Find the total number of weeks in a decade:** A decade is 10 years. Weeks per year = 52. Weeks in a decade = 10 * 52 = 520 weeks. 2. **Find the total mice eaten:** Mice = Weeks / 4 = 520 / 4 = 130 mice. \boxed{130}

Reward

Reward components
key value
reference_answer 130
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 75
ac_len 111
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 75
ac_len 100
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 75
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

Trajectory 3 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 75
ac_len 111
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 75
ac_len 120
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 75
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 75
ac_len 107
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 75
ac_len 87
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:
One pair of pants requires 8.5 feet of fabric. Nguyen needs to make 7 pairs of pants for the wedding. He has 3.5 yards of fabric. How many feet of fabric does Nguyen still need for the pants?

Policy Response

assistant:
1. Calculate the total feet of fabric needed for 7 pairs of pants: 7 pairs * 8.5 feet/ pair = 59.5 feet 2. Convert 3.5 yards to feet (1 yard = 3 feet): 3.5 yards * 3 feet/ yard = 10.5 feet 3. Calculate the feet still needed: 59.5 feet - 10.5 feet = 49.0 feet \boxed{49.0}

Reward

Reward components
key value
reference_answer 49
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:
One pair of pants requires 8.5 feet of fabric. Nguyen needs to make 7 pairs of pants for the wedding. He has 3.5 yards of fabric. How many feet of fabric does Nguyen still need for the pants?

Policy Response

assistant:
1. Find the total feet of fabric needed for all pants: 8.5 feet/pair * 7 pairs = 59.5 feet. 2. Convert yards to feet: 3.5 yards * 3 feet/yard = 10.5 feet. 3. Calculate the feet still needed: 59.5 feet - 10.5 feet = 49 feet. \boxed{49}

Reward

Reward components
key value
reference_answer 49
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:
One pair of pants requires 8.5 feet of fabric. Nguyen needs to make 7 pairs of pants for the wedding. He has 3.5 yards of fabric. How many feet of fabric does Nguyen still need for the pants?

Policy Response

assistant:
1. Find the total amount of fabric needed: 8.5 feet/pan * 7 pairs = 59.5 feet. 2. Convert yards to feet: 3.5 yards * 3 feet/yard = 10.5 feet. 3. Find the difference: 59.5 feet - 10.5 feet = 49.0 feet. \boxed{49.0}

Reward

Reward components
key value
reference_answer 49
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:
One pair of pants requires 8.5 feet of fabric. Nguyen needs to make 7 pairs of pants for the wedding. He has 3.5 yards of fabric. How many feet of fabric does Nguyen still need for the pants?

Policy Response

assistant:
Pants Fabric Needed: 8.5 feet/ pair * 7 pairs = 59.5 feet Fabric Available: 3.5 yards Feet Available: 3.5 yards * 3 feet/ yard = 10.5 feet Feet Still Needed: 59.5 feet - 10.5 feet = 49 feet \boxed{49}

Reward

Reward components
key value
reference_answer 49
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:
One pair of pants requires 8.5 feet of fabric. Nguyen needs to make 7 pairs of pants for the wedding. He has 3.5 yards of fabric. How many feet of fabric does Nguyen still need for the pants?

Policy Response

assistant:
1. Find the total feet of fabric needed: 8.5 feet/pan * 7 pairs = 59.5 feet. 2. Convert yards to feet: 3.5 yards * 3 feet/yard = 10.5 feet. 3. Find the feet still needed: 59.5 - 10.5 = 49.0 feet. \boxed{49.0}

Reward

Reward components
key value
reference_answer 49
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:
One pair of pants requires 8.5 feet of fabric. Nguyen needs to make 7 pairs of pants for the wedding. He has 3.5 yards of fabric. How many feet of fabric does Nguyen still need for the pants?

Policy Response

assistant:
Pants Fabric Calculation: 1. **Calculate the total feet of fabric required:** 8.5 feet/pan t * 7 pants = 59.5 feet 2. **Convert yards to feet:** 3.5 yards * 3 feet/yard = 10.5 feet 3. **Calculate the fabric still needed:** 59.5 feet - 10.5 feet = 49.0 feet \boxed{49}

Reward

Reward components
key value
reference_answer 49
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:
One pair of pants requires 8.5 feet of fabric. Nguyen needs to make 7 pairs of pants for the wedding. He has 3.5 yards of fabric. How many feet of fabric does Nguyen still need for the pants?

Policy Response

assistant:
1. Find the total feet of fabric needed for all pants: 8.5 feet/ pair * 7 pairs = 59.5 feet. 2. Convert the yards of fabric to feet: 3.5 yards * 3 feet/ yard = 10.5 feet. 3. Calculate the feet still needed: 59.5 feet - 10.5 feet = 49 feet. \boxed{49}

Reward

Reward components
key value
reference_answer 49
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:
One pair of pants requires 8.5 feet of fabric. Nguyen needs to make 7 pairs of pants for the wedding. He has 3.5 yards of fabric. How many feet of fabric does Nguyen still need for the pants?

Policy Response

assistant:
Pants needed: 7 pairs Fabric per pair: 8.5 feet Total fabric needed: 7 * 8.5 = 59.5 feet Yards to feet: 3.5 * 3 = 10.5 feet Fabric still needed: 59.5 - 10.5 = 49.0 feet \boxed{49.0}

Reward

Reward components
key value
reference_answer 49
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 102
ac_len 89
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 102
ac_len 107
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 102
ac_len 95
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 102
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 4 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 102
ac_len 116
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 102
ac_len 87
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 102
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 102
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

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:
Sam and Jeff had a skipping competition at recess. The competition was split into four rounds. Sam completed 1 more skip than Jeff in the first round. Jeff skipped 3 fewer times than Sam in the second round. Jeff skipped 4 more times than Sam in the third round. Jeff got tired and only completed half the number of skips as Sam in the last round. If Sam skipped 16 times in each round, what is the average number of skips per round completed by Jeff?

Policy Response

assistant:
Sam skipped 16 times in each round. 1. **Round 1:** Sam: 16 times Jeff: 16 - 1 = 15 times 2. **Round 2:** Sam: 16 times Jeff: 16 - 3 = 13 times 3. **Round 3:** Sam: 16 times Jeff: 16 + 4 = 20 times 4. **Round 4:** Sam: 16 times Jeff: 16 / 2 = 8 times 5. **Total Skips for Jeff:** 15 + 13 + 20 + 8 = 56 times 6. **Average Skips per Round:** 56 / 4 = 14 \boxed{14}

Reward

Reward components
key value
reference_answer 14
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:
Sam and Jeff had a skipping competition at recess. The competition was split into four rounds. Sam completed 1 more skip than Jeff in the first round. Jeff skipped 3 fewer times than Sam in the second round. Jeff skipped 4 more times than Sam in the third round. Jeff got tired and only completed half the number of skips as Sam in the last round. If Sam skipped 16 times in each round, what is the average number of skips per round completed by Jeff?

Policy Response

assistant:
Sam skipped 16 times in each round. There were 4 rounds. 1. Find skips in Round 1: 16 + 1 = 17 2. Find skips in Round 2: 16 - 3 = 13 3. Find skips in Round 3: 16 + 4 = 20 4. Find skips in Round 4: 16 / 2 = 8 5. Find total skips for Jeff: 17 + 13 + 20 + 8 = 58 6. Find average skips per round: 58 / 4 = 14.5 \boxed{14.5}

Reward

Reward components
key value
reference_answer 14
format_valid True
correct False
format_coef 0.1
reward 0.000

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:
Sam and Jeff had a skipping competition at recess. The competition was split into four rounds. Sam completed 1 more skip than Jeff in the first round. Jeff skipped 3 fewer times than Sam in the second round. Jeff skipped 4 more times than Sam in the third round. Jeff got tired and only completed half the number of skips as Sam in the last round. If Sam skipped 16 times in each round, what is the average number of skips per round completed by Jeff?

Policy Response

assistant:
Sam completed 16 times in each round. Round 1: - Sam: 16 - Jeff: 16 - 1 = 15 Round 2: - Sam: 16 - Jeff: 16 - 3 = 13 Round 3: - Sam: 16 - Jeff: 16 + 4 = 20 Round 4: - Sam: 16 - Jeff: 16 / 2 = 8 Jeff's total skips: 15 + 13 + 20 + 8 = 56 Average skips per round: 56 / 4 = 14 \boxed{14}

Reward

Reward components
key value
reference_answer 14
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:
Sam and Jeff had a skipping competition at recess. The competition was split into four rounds. Sam completed 1 more skip than Jeff in the first round. Jeff skipped 3 fewer times than Sam in the second round. Jeff skipped 4 more times than Sam in the third round. Jeff got tired and only completed half the number of skips as Sam in the last round. If Sam skipped 16 times in each round, what is the average number of skips per round completed by Jeff?

Policy Response

assistant:
Sam skipped 16 times in each round. 1. **Round 1:** Sam completed 1 more skip than Jeff. * Sam: 16 * Jeff: 16 - 1 = 15 2. **Round 2:** Jeff skipped 3 fewer times than Sam. * Jeff: 16 - 3 = 13 3. **Round 3:** Jeff skipped 4 more times than Sam. * Jeff: 16 + 4 = 20 4. **Round 4:** Jeff completed half the skips as Sam. * Jeff: 16 / 2 = 8 5. **Jeff's Total Skips:** 15 + 13 + 20 + 8 = 56 6. **Average Skips per Round:** 56 / 4 = 14 \boxed{14}

Reward

Reward components
key value
reference_answer 14
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:
Sam and Jeff had a skipping competition at recess. The competition was split into four rounds. Sam completed 1 more skip than Jeff in the first round. Jeff skipped 3 fewer times than Sam in the second round. Jeff skipped 4 more times than Sam in the third round. Jeff got tired and only completed half the number of skips as Sam in the last round. If Sam skipped 16 times in each round, what is the average number of skips per round completed by Jeff?

Policy Response

assistant:
Sam and Jeff skipped in four rounds. Sam skipped 16 times in each round. 1. Calculate skips in each round for Sam: 16 skips. 2. Calculate skips in each round for Jeff: * Round 1: 1 more than Sam = 16 + 1 = 17. * Round 2: 3 fewer than Sam = 16 - 3 = 13. * Round 3: 4 more than Sam = 16 + 4 = 20. * Round 4: Half of Sam = 16 / 2 = 8. 3. Sum skips for Jeff: 17 + 13 + 20 + 8 = 58. 4. Calculate average: 58 / 4 = 14.5. \boxed{14.5}

Reward

Reward components
key value
reference_answer 14
format_valid True
correct False
format_coef 0.1
reward 0.000

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:
Sam and Jeff had a skipping competition at recess. The competition was split into four rounds. Sam completed 1 more skip than Jeff in the first round. Jeff skipped 3 fewer times than Sam in the second round. Jeff skipped 4 more times than Sam in the third round. Jeff got tired and only completed half the number of skips as Sam in the last round. If Sam skipped 16 times in each round, what is the average number of skips per round completed by Jeff?

Policy Response

assistant:
Sam skipped 16 times in each round. **Round 1:** Sam: 16 Jeff: 16 - 1 = 15 **Round 2:** Sam: 16 Jeff: 16 - 3 = 13 **Round 3:** Sam: 16 Jeff: 16 + 4 = 20 **Round 4:** Sam: 16 Jeff: 16 / 2 = 8 **Jeff's Total Skips:** 15 + 13 + 20 + 8 = 56 **Average Skips per Round:** 56 / 4 = 14 \boxed{14}

Reward

Reward components
key value
reference_answer 14
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:
Sam and Jeff had a skipping competition at recess. The competition was split into four rounds. Sam completed 1 more skip than Jeff in the first round. Jeff skipped 3 fewer times than Sam in the second round. Jeff skipped 4 more times than Sam in the third round. Jeff got tired and only completed half the number of skips as Sam in the last round. If Sam skipped 16 times in each round, what is the average number of skips per round completed by Jeff?

Policy Response

assistant:
Sam skipped 16 times in each round. There were 4 rounds. 1. **Calculate Sam's total skips:** 16 skips * 4 rounds = 64 skips 2. **Calculate Jeff's skips in each round:** * Round 1: 16 + 1 = 17 skips * Round 2: 16 - 3 = 13 skips * Round 3: 16 + 4 = 20 skips * Round 4: 16 / 2 = 8 skips 3. **Calculate Jeff's total skips:** 17 + 13 + 20 + 8 = 58 skips 4. **Calculate the average number of skips per round for Jeff:** 58 skips / 4 rounds = 14.5 skips \boxed{14.5}

Reward

Reward components
key value
reference_answer 14
format_valid True
correct False
format_coef 0.1
reward 0.000

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:
Sam and Jeff had a skipping competition at recess. The competition was split into four rounds. Sam completed 1 more skip than Jeff in the first round. Jeff skipped 3 fewer times than Sam in the second round. Jeff skipped 4 more times than Sam in the third round. Jeff got tired and only completed half the number of skips as Sam in the last round. If Sam skipped 16 times in each round, what is the average number of skips per round completed by Jeff?

Policy Response

assistant:
Sam skipped 16 times in each round. 1. **Round 1:** Sam completed 1 more skip than Jeff. Jeff: 16 - 1 = 15 skips. 2. **Round 2:** Jeff skipped 3 fewer times than Sam. Jeff: 16 - 3 = 13 skips. 3. **Round 3:** Jeff skipped 4 more times than Sam. Jeff: 16 + 4 = 20 skips. 4. **Round 4:** Jeff completed half the number of skips as Sam. Jeff: 16 / 2 = 8 skips. **Total Skips for Jeff:** 15 + 13 + 20 + 8 = 56 skips. **Average Skips per Round:** 56 / 4 = 14 skips. \boxed{14}

Reward

Reward components
key value
reference_answer 14
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 152
ac_len 153
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 1 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 152
ac_len 198
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 152
ac_len 161
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 152
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 4 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 152
ac_len 195
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 152
ac_len 197
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 6 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 152
ac_len 194
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 7 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 152
ac_len 161
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:
There are 120 cards in a box. If 2/5 of the cards are red, exactly 5/9 of the remainder are black, and the rest are green, calculate the number of green cards in the box?

Policy Response

assistant:
Cards: 120 1. Calculate the number of red cards: 2/5 * 120 = 48 2. Calculate the remainder: 120 - 48 = 72 3. Calculate the number of black cards: 5/9 * 72 = 40 4. Calculate the number of green cards: 72 - 40 = 32 \boxed{32}

Reward

Reward components
key value
reference_answer 32
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:
There are 120 cards in a box. If 2/5 of the cards are red, exactly 5/9 of the remainder are black, and the rest are green, calculate the number of green cards in the box?

Policy Response

assistant:
1. Calculate the number of red cards: 2/5 of 120 = (2/5) * 120 = 48. 2. Calculate the remainder: 120 - 48 = 72. 3. Calculate the number of black cards: 5/9 of 72 = (5/9) * 72 = 40. 4. Calculate the number of green cards: 72 - 40 = 32. \boxed{32}

Reward

Reward components
key value
reference_answer 32
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:
There are 120 cards in a box. If 2/5 of the cards are red, exactly 5/9 of the remainder are black, and the rest are green, calculate the number of green cards in the box?

Policy Response

assistant:
Total cards = 120 Red cards = 2/5 * 120 = 48 Remainder = 120 - 48 = 72 Black cards = 5/9 * 72 = 40 Green cards = 72 - 40 = 32 \boxed{32}

Reward

Reward components
key value
reference_answer 32
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:
There are 120 cards in a box. If 2/5 of the cards are red, exactly 5/9 of the remainder are black, and the rest are green, calculate the number of green cards in the box?

Policy Response

assistant:
Total cards = 120 1. Calculate the number of red cards: (2/5) * 120 = 48 2. Calculate the remainder: 120 - 48 = 72 3. Calculate the number of black cards: (5/9) * 72 = 40 4. Calculate the number of green cards: 72 - 40 = 32 \boxed{32}

Reward

Reward components
key value
reference_answer 32
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:
There are 120 cards in a box. If 2/5 of the cards are red, exactly 5/9 of the remainder are black, and the rest are green, calculate the number of green cards in the box?

Policy Response

assistant:
There are 120 cards in a box. 1. Find the number of red cards: 2/5 * 120 = 48 cards. 2. Find the remainder cards: 120 - 48 = 72 cards. 3. Find the number of black cards: 5/9 * 72 = 40 cards. 4. Find the number of green cards: 72 - 40 = 32 cards. \boxed{32}

Reward

Reward components
key value
reference_answer 32
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:
There are 120 cards in a box. If 2/5 of the cards are red, exactly 5/9 of the remainder are black, and the rest are green, calculate the number of green cards in the box?

Policy Response

assistant:
1. Find the number of red cards: 2/5 * 120 = 48. 2. Find the remainder: 120 - 48 = 72. 3. Find the number of black cards: 5/9 * 72 = 40. 4. Find the number of green cards: 72 - 40 = 32. \boxed{32}

Reward

Reward components
key value
reference_answer 32
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:
There are 120 cards in a box. If 2/5 of the cards are red, exactly 5/9 of the remainder are black, and the rest are green, calculate the number of green cards in the box?

Policy Response

assistant:
Cards in the box: 120 Red cards: 2/5 of 120 = (2/5) * 120 = 48 Remainder: 120 - 48 = 72 Black cards: 5/9 of 72 = (5/9) * 72 = 40 Green cards: 72 - 40 = 32 \boxed{32}

Reward

Reward components
key value
reference_answer 32
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:
There are 120 cards in a box. If 2/5 of the cards are red, exactly 5/9 of the remainder are black, and the rest are green, calculate the number of green cards in the box?

Policy Response

assistant:
Cards in the box: 120 1. Find the number of red cards: 2/5 * 120 = 48 2. Find the remainder: 120 - 48 = 72 3. Find the number of black cards: 5/9 * 72 = 40 4. Find the number of green cards: 72 - 40 = 32 \boxed{32}

Reward

Reward components
key value
reference_answer 32
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 102
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 102
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 102
ac_len 96
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 102
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 4 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 102
ac_len 99
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 102
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 6 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 102
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 7 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 102
ac_len 117
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