RL Iteration 35

Generated 2026-06-11T16:42:13

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:
Ruth prepared sandwiches. She ate 1 sandwich and gave 2 sandwiches to her brother. Her first cousin arrived and ate 2 sandwiches. Then her two other cousins arrived and ate 1 sandwich each. There were 3 sandwiches left. How many sandwiches did Ruth prepare?

Policy Response

assistant:
* R * S * A * N * D * L * B * H * E * I * O * U * Y * P * Could she have prepared *g* more sandwiches? * M * T * F * C * K * J * G * V * S * W

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:
Ruth prepared sandwiches. She ate 1 sandwich and gave 2 sandwiches to her brother. Her first cousin arrived and ate 2 sandwiches. Then her two other cousins arrived and ate 1 sandwich each. There were 3 sandwiches left. How many sandwiches did Ruth prepare?

Policy Response

assistant:
Step 1. *She prepared 4 *sandwiches.* *She ate 1 *sandwich.* *She gave 2 *sandwiches* to her brother. *Her first cousin ate 2 *sandwiches.* *Her two other cousins ate 1 *sandwich each.* *There were 3 *sandwiches left* *How many sandwiches did Ruth prepare?* *She prepared 4 *sandwiches.* *She ate 1 *sandwich.* *She gave 2 *sandwiches* to her brother *Her first cousin ate 2 *sandwiches.* *Her two other cousins ate 1 *sandwich each.* *There were 3 *sandwiches left* *Ruth prepared 4 *sandwiches.* *Ruth ate 1 *sandwich.* *Ruth gave 2 *sandwiches* to her brother *Her first cousin ate 2 *sandwiches.* *Her two other cousins ate 1 *sandwich each.* *Sandwiches left = 3 *sandwiches* *Ruth prepared 4 *sandwiches.* *Sandwiches *she* ate = 1 *sandwich* *Sandwiches *she* gave = 2 *sandwiches* to her brother *Sandwiches *her first cousin* ate = 2 *sandwiches* *Sandwiches *her two other cousins* ate =

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:
Ruth prepared sandwiches. She ate 1 sandwich and gave 2 sandwiches to her brother. Her first cousin arrived and ate 2 sandwiches. Then her two other cousins arrived and ate 1 sandwich each. There were 3 sandwiches left. How many sandwiches did Ruth prepare?

Policy Response

assistant:
* Step 1. She prepared * 3 sandwiches * She ate * 1 sandwich * She gave * 2 sandwiches to her brother * Her first cousin ate * 2 sandwiches* * Her two other cousins ate * 1 sandwich each* * There were * 3 sandwiches left* * How many sandwiches did Ruth prepare?* * She prepared * 3 sandwiches* * She ate * 1 sandwich* * She gave * 2 sandwiches to her brother* * Her first cousin arrived and ate * 2 sandwiches* * Then her two other cousins arrived and ate * 1 sandwich each* * There were * 3 sandwiches left* * How many sandwiches did Ruth prepare?* * She prepared * 3 sandwiches* * She ate * 1 sandwich* * She gave * 2 sandwiches to her brother* * Her first cousin arrived and ate * 2 sandwiches* * Then her two other cousins arrived and ate * 1 sandwich each* * There were * 3 sandwiches left* * How many sandwiches did Ruth prepare?* * She prepared * 3 sandwiches* * She ate * 1 sandwich* * She gave * 2 sandwiches to her brother* * Her first cousin arrived and ate * 2 sandwiches* * Then her two other cousins arrived and ate * 1 sandwich each* * There were * 3 sandwiches left* * How many sandwiches did Ruth prepare?* * She prepared * 3 sandwiches* * She ate

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:
Ruth prepared sandwiches. She ate 1 sandwich and gave 2 sandwiches to her brother. Her first cousin arrived and ate 2 sandwiches. Then her two other cousins arrived and ate 1 sandwich each. There were 3 sandwiches left. How many sandwiches did Ruth prepare?

Policy Response

assistant:
* *Ruth prepared 6 * sandwiches.* * She ate 1 * sandwich.* * She gave 2 * sandwiches to her brother.* * Her first cousin arrived and ate 2 * sandwiches.* * Then her two other cousins arrived and ate 1 * sandwich each.* * There were 3 * sandwiches left.* * How many sandwiches did Ruth prepare?* --- * RUTH PREPARED 6 * SANDWICHES.* * SHE ATE 1 * SANDWICH.* * SHE GAVE 2 * SANDWICHES TO HER BROTHER.* * HER FIRST COUSIN ARRIVED AND ATE 2 * SANDWICHES.* * THEN HER TWO OTHER COUSINS ARRIVED AND ATE 1 * SANDWICH EACH.* * THERE WERE 3 * SANDWICHES LEFT.* * HOW MANY SANDWICHES DID RUTH PREPARE?* * *Ruth prepared 6 sandwiches.* * *She ate 1 sandwich.* * *She gave 2 sandwiches to her brother.* * *Her first cousin arrived and ate 2 sandwiches.* * *Then her two other cousins arrived and ate 1 sandwich each.* * *There were 3 sandwiches left.* * *How many sandwiches did Ruth prepare?* * *Ruth prepared 6 sandwiches.* * *She ate 1 sandwich.* * *She gave 2 sandwiches to her brother.* * *Her first cousin arrived and ate 2 sandwiches

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:
Ruth prepared sandwiches. She ate 1 sandwich and gave 2 sandwiches to her brother. Her first cousin arrived and ate 2 sandwiches. Then her two other cousins arrived and ate 1 sandwich each. There were 3 sandwiches left. How many sandwiches did Ruth prepare?

Policy Response

assistant:
He needed to *find* the *flying* *chimpanzee* *Chimpanzees* are *intelligent* *animals* *He* *wondered* *if* *any* *of* *them* *would* *like* *to* *visit* *him* *He* *learned* *that* *a* *fish* *can* *talk* *He* *then* *realized* *that* *the* *fish* *was* *lying* *still* *He* *went* *inside* *He* *wondered* *how* *many* *flights* *of* *a* *bird* *it* *would* *take* *He* *wanted to* *keep* *the* *birds* *happy* *He* *bought* *a* *bag* *of* *birdseed* *He* *watched* *the* *birds* *eat* *He* *wanted* *to* *give* *them* *more* *He* *bought* *another* *bag* *of* *birdseed* *He* *pour* *the* *seed* *into* *He* *wanted* *to* *make* *sure* *the* *bag* *was* *full* *He* *then* *gave* *

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:
Ruth prepared sandwiches. She ate 1 sandwich and gave 2 sandwiches to her brother. Her first cousin arrived and ate 2 sandwiches. Then her two other cousins arrived and ate 1 sandwich each. There were 3 sandwiches left. How many sandwiches did Ruth prepare?

Policy Response

assistant:
* Let x = y * Let x = y * He ate *x* sandwiches * She ate *x* sandwiches * He gave *x* sandwiches * She gave *x* sandwiches * He prepared *x* sandwiches * She prepared *x* sandwiches He * She * He * He * She * He He * She * He * He * She * He He * She * He * He * She * He * He * She * He He * She * He * He * She * He * He * She * He He * She * He * He * She * He * He * She * He He * She * He * He * She * He * She * He * He * She * He He * She * He * He * She * He * He * She * He He * She * He * He * She * He * She * He * He * She He * She * He * He * She * He * He * She * He * She * He * He * She * He He * She * He * He * She * He * He

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:
Ruth prepared sandwiches. She ate 1 sandwich and gave 2 sandwiches to her brother. Her first cousin arrived and ate 2 sandwiches. Then her two other cousins arrived and ate 1 sandwich each. There were 3 sandwiches left. How many sandwiches did Ruth prepare?

Policy Response

assistant:
*Step 1. *She prepared* 3. *sandwiches* Let me think through this problem step by step: 1. *Ruth ate* 1. *a sandwich* 2. *She gave* 2. *sandwiches to her brother* 3. *Her first cousin ate* 2. *sandwiches* 4. *Her two other cousins ate* 1 *sandwich each* *Sandwiches left* = 3 *sandwiches* *Sandwiches prepared* = *3 sandwiches* How many sandwiches did Ruth prepare? \boxed{Roughly 12 sandwiches} *Step* 1. *She prepared* 3. *sandwiches* *She ate* 1. *a sandwich* *She gave* 2. *sandwiches to her brother* *Her cousin ate* 2. *sandwiches* *Her cousins ate* 1 *sandwich each* *Sandwiches left* = 3 *sandwiches* *Sandwiches prepared* = *3 sandwiches* Let me sum it up: *Sandwiches Ruth prepared* = *3 + 12 sandwiches* *She ate* 1. *a sandwich* *She gave* 2. *sandwiches to her brother* *Her cousin ate* 2. *sandwiches* *Her cousins ate* 1 *sandwich

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:
Ruth prepared sandwiches. She ate 1 sandwich and gave 2 sandwiches to her brother. Her first cousin arrived and ate 2 sandwiches. Then her two other cousins arrived and ate 1 sandwich each. There were 3 sandwiches left. How many sandwiches did Ruth prepare?

Policy Response

assistant:
*She prepared 6 *sandwiches.* *Sandwiches left* = 0 *sandwiches.* *She ate* 1 *sandwiches.* *She gave to her brother* 2 *sandwiches.* *Her first cousin ate* 2 *sandwiches.* *Her two other cousins ate* 1 *sandwiches each.* *Sandwiches prepared* = 6 *sandwiches.* *Sandwiches left* = 3 *sandwiches.* *How many sandwiches did Ruth prepare?* \boxed{6} *Sandwiches she ate* = 1 *sandwiches.* *Sandwiches she gave to her brother* 2 *sandwiches.* *Sandwiches her first cousin ate* 2 *sandwiches.* *Sandwiches her two other cousins ate* 1 *sandwiches each.* Here is the step-by-step solution: 1. *Sandwiches Ruth prepared* = 6 *sandwiches.* 2. *Sandwiches Ruth ate* = 1 *sandwiches.* 3. *Sandwiches Ruth gave to her brother* = 2 *sandwiches.* 4. *Sandwiches Ruth's first cousin ate* = 2 *sandwiches.* 5. *Sandwiches Ruth's two other cousins ate* = 1 *sandwiches each.* 6. *Sandwiches left* = 3 *

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 109
ac_len 320
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 109
ac_len 320
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 109
ac_len 320
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 109
ac_len 320
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 109
ac_len 320
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 109
ac_len 84
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 6 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 109
ac_len 320
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 109
ac_len 320
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:
Trevor needs to go downtown for a restaurant date. An Uber ride downtown costs $3 more than a Lyft ride. A Lyft ride costs $4 more than a taxi ride. The Uber ride costs $22. If Trevor takes a taxi downtown and tips the taxi driver 20% of the original cost of the ride, what is the total cost of the ride downtown?

Policy Response

assistant:
Here is the step-by-step solution: 1. *Taxi ride cost* = $4 * more than a Lyft ride* *Lyft ride cost* = $4 * more than an Uber ride* *Uber ride cost* = $3 * more than an Uber ride* 1. *Tips for taxi* = 20% *of $4* *Total taxi cost* = $4 * + $22 * + $20* \boxed{ANSWER} *Step 1. Taxi fare = $4 * *Tips* = 20% *of $4* *Taxi + tips* = $22 *total* *Let me work through this...* *Taxi fare* = $4 * *Tips amount* = 20% *of $4* *Total cost* = $4 * + $22 * + $20* *Step 1. Taxi ride *downtown* *Restaurant date* = Uber *downtown* *Uber ride* = $3 *more than Lyft* *Lyft ride* = $4 *more than taxi* *Taxi ride* = $4 *downtown* *Tips* = 20% *of $4* *Total cost* = $4 * + $22 * + $20* \boxed{ANSWER} *Mental math* 1. $4 * taxi* *Tips* =

Reward

Reward components
key value
reference_answer 18
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:
Trevor needs to go downtown for a restaurant date. An Uber ride downtown costs $3 more than a Lyft ride. A Lyft ride costs $4 more than a taxi ride. The Uber ride costs $22. If Trevor takes a taxi downtown and tips the taxi driver 20% of the original cost of the ride, what is the total cost of the ride downtown?

Policy Response

assistant:
* Step 1. *Taxi cost* = $4 * * Tips * = 20% * * Total * = *Cost* * Step-by-step solution* 1. *Taxi ride* = $4 * 20% *of* $4 * * Tips* = *on* $4 * * Taxi driver* *tips* = 20% *of* $4 * * Original cost* = $4 * * Trevor *takes* a taxi *downtown* * Tips * = 20% *of* *the* $4 * * Ride * *downtown* = *costs* $4 * * Taxi *ride* *cost* = *is* $4 * * 20% *tips* *on* *the* $4 * * Original *ride* *cost* = *is* $4 * * Step 1. *Taxi* = $4 * * 20% *of* *the* $4 * * Tips* *on* *the* $4 * * Ride *downtown* *costs* = *$4 * * Step-by-step* *solution* 1. *Taxi* *ride* = *$4* * *Tips* *on* *the* $4 * * *Original* *ride* *cost* = *$4* * *Trevor* *takes* a

Reward

Reward components
key value
reference_answer 18
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:
Trevor needs to go downtown for a restaurant date. An Uber ride downtown costs $3 more than a Lyft ride. A Lyft ride costs $4 more than a taxi ride. The Uber ride costs $22. If Trevor takes a taxi downtown and tips the taxi driver 20% of the original cost of the ride, what is the total cost of the ride downtown?

Policy Response

assistant:
* Step 1. The cost of a taxi ride downtown = $14 * * Step 2. Trevor tips the taxi driver 20% * * Step 3. He eats at a restaurant = $55 * Step 4. He takes a cab downtown * * Step 5. He goes to a restaurant * * Step 6. He takes an Uber downtown * Step 7. He tips the Uber driver 10% * Step 8. He eats at a restaurant * Step 9. He takes a Lyft downtown * Step 10. He tips the Lyft driver 25% * Step* * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step * Step

Reward

Reward components
key value
reference_answer 18
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:
Trevor needs to go downtown for a restaurant date. An Uber ride downtown costs $3 more than a Lyft ride. A Lyft ride costs $4 more than a taxi ride. The Uber ride costs $22. If Trevor takes a taxi downtown and tips the taxi driver 20% of the original cost of the ride, what is the total cost of the ride downtown?

Policy Response

assistant:
*Step 1. *Cost of a taxi ride* = *Original cost* = *20% tip* *Taxi + *ride downtown* *Trevor *needs to go downtown* *He takes *a taxi ride* *He tips *the driver 20% of the ride* *He eats *at a restaurant $50* *He needs *Uber $3* more than *Lyft $4* *He takes *a Lyft ride $4* *He tips *the Lyft driver 15% of the ride* *He eats *at a restaurant $50* *He goes *downtown by taxi* *He tips *the driver 20% of ride* *He *needs* a date *He *spends* on transportation *He *tips* his drivers *He *eats* at a restaurant *He *total cost* = *Step 1. *Taxi fare* *Tip* 20% *Restaurant* $50 *Uber* $3 *Lyft* $4 *Taxi* *original fare* *Tip* 20% *Date* *restaurant* *Transportation* *costs* *He spends* *travel* *He eats* *meal* *downtown* *He taxis* *He Uber* *He Lyft* *He tips* *He restaurant*

Reward

Reward components
key value
reference_answer 18
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:
Trevor needs to go downtown for a restaurant date. An Uber ride downtown costs $3 more than a Lyft ride. A Lyft ride costs $4 more than a taxi ride. The Uber ride costs $22. If Trevor takes a taxi downtown and tips the taxi driver 20% of the original cost of the ride, what is the total cost of the ride downtown?

Policy Response

assistant:
* Step 1. Cost of a taxi ride = $x* * Step 2. 20% *of* $x* * Tips *for* a taxi driver = 20% *of* $x* * Trevor *needs* to go *downtown* for *a* restaurant *date* * An *Uber* ride *downtown* costs *$3* more *than* a *Lyft* ride * A *Lyft* ride *costs* $4* more *than* a *taxi* ride * The *Uber* ride *costs* $22* * If *Trevor* takes *a* taxi *downtown* *and* tips *the* taxi *driver* 20% *of* the *original* cost *of* the *ride* * What *is* the *total* cost *of* the *ride* *downtown*? * Step 3. *The* Uber *costs* $36* * Gary *wants* to *go* downtown *for* a *restaurant* *date* * He *needs* a *Lyft* *ride* *downtown* * He *tips* the *driver* 20% *of* the *Lyft* *ride* * What *is* the *total* cost *of* the *ride* *downtown*? * Taxi *ride* *cost

Reward

Reward components
key value
reference_answer 18
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:
Trevor needs to go downtown for a restaurant date. An Uber ride downtown costs $3 more than a Lyft ride. A Lyft ride costs $4 more than a taxi ride. The Uber ride costs $22. If Trevor takes a taxi downtown and tips the taxi driver 20% of the original cost of the ride, what is the total cost of the ride downtown?

Policy Response

assistant:
* Step 1. *Taxi* ride original cost = $20 * Taxi *tips* = 20% * Total* cost = $34 *優惠* the original cost of a Lyft ride *is* $4 The original cost of an Uber ride *is* $3 Trevor *tips* the taxi driver 20% of $22 * Total* cost = $74 *Step* by *step* 1. *Uber* ride * cost* = $3 *Lyft* ride * cost* = $4 *Taxi* ride * cost* = $22 *Taxi* ride *plus* *tips* = $22 * 20% *Taxi* ride *original* *cost* = $20 *Tips* = 20% *of* $22 *Total* *ride* *downtown* = $74 Here is the step-by-step solution: 1. *Lyft* ride cost = $4 *Uber* ride cost = $3 *Taxi* ride cost = $22 *Taxi* ride original cost = $20 *Taxi* tips = 20% *of* $22 *Taxi* ride *downtown* = $22 *Tips* = 20% *of* $20 *Taxi* ride *original* *cost* = $20

Reward

Reward components
key value
reference_answer 18
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:
Trevor needs to go downtown for a restaurant date. An Uber ride downtown costs $3 more than a Lyft ride. A Lyft ride costs $4 more than a taxi ride. The Uber ride costs $22. If Trevor takes a taxi downtown and tips the taxi driver 20% of the original cost of the ride, what is the total cost of the ride downtown?

Policy Response

assistant:
* Step 1. *The cost of a taxi ride downtown is* * The original cost of the taxi ride *is* * 20% of *the original taxi ride cost is* * The amount Trevor tips the taxi driver *is* * The total amount for Trevor's taxi ride *including* * *tips* * *Uber* * *Lyft* * *Taxi* * *Restaurant* * *Date* * *Restaurant date* * *Downtown* * * Uber * * * Lyft * * * Taxi * * * 20% * * * $22 * * * $3 * * * $4 * * * $20 * * * *Taxi fare* * * Tips * * * Total cost * * * Restaurant date* * * Downtown trip* * * Uber + Lyft * * * Taxi + tips * * * Taxi fare + tips * * * Ride downtown * * * Original fare * * * 20% * * * $22 * * * $3 * * * $4 * * * $20 * * * Taxi ride * * * Taxi * * * Uber * * * Lyft * * * Restaurant date * * * Downtown * * * Taxi fare * * * Tips * * * Total * * * T * * * L * * *

Reward

Reward components
key value
reference_answer 18
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:
Trevor needs to go downtown for a restaurant date. An Uber ride downtown costs $3 more than a Lyft ride. A Lyft ride costs $4 more than a taxi ride. The Uber ride costs $22. If Trevor takes a taxi downtown and tips the taxi driver 20% of the original cost of the ride, what is the total cost of the ride downtown?

Policy Response

assistant:
* Step 1. *Taxi* ride cost = $ *base* cost = *128* dollars * Step 2. *Taxi* driver *tip* = 20% *of* 128 dollars * Trevor *tips* = *the* taxi driver *20%* * Total *ride* + *downtown* * Cost* = *includes* * Taxi* *driver* * Tips* * Uber* *Lyft* *出租车* *网约车* * Ride* *Downtown* *Restaurant* *Date* *Trevor* *Uber* *Lyft* *Taxi* *Tip* *Cab* *Fare* *Expense* *Meal* *Bill* *Date* *Place* *Time* *Person* *Outcome* *Plan* *Success* *Event* *Trip* *Ride* *Scoot* *RideShare* *RideHail* *CabGo* *RideNow* *UberX* *LyftGo* *DiDi* *Grab* *Bolt* *InDrive* *Ola* *Careem* *B перевезти* *Hailo* *Ridemax* *Berufar* *FREENOW* *

Reward

Reward components
key value
reference_answer 18
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 131
ac_len 320
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 131
ac_len 320
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 131
ac_len 320
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 131
ac_len 320
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 131
ac_len 320
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 131
ac_len 320
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 6 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 131
ac_len 320
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 131
ac_len 320
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:
The long jump finals contained four national champions competing against one another. The first competitor jumped a distance of 22 feet. The second competitor jumped one foot farther than the first competitor. The third competitor jumped two feet shorter than the third competitor. And the fourth competitor jumped 3 feet further than the third competitor. How long, in feet, did the fourth competitor jump?

Policy Response

assistant:
* *The distance jumped by the fourth competitor is the long jump distance of* 24 * feet*. Use the following steps to solve: 1. *The first competitor jumped 22 * feet*. 2. *The second competitor jumped 23 * feet* 3. *The third competitor jumped 20 * feet* 4. *The fourth competitor jumped 25 * feet* *Step 1:* 22 - *feet* *Step* 2:* 23 - *feet* *Step* 3:* 20 - *feet* *Step* 4:* 25 *feet* *The fourth competitor* jumped 3 feet *further* *Feet* = 24 *feet* \boxed{ANSWER} *The distance jumped by the fourth competitor is* 24 * feet*.

Reward

Reward components
key value
reference_answer 24
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:
The long jump finals contained four national champions competing against one another. The first competitor jumped a distance of 22 feet. The second competitor jumped one foot farther than the first competitor. The third competitor jumped two feet shorter than the third competitor. And the fourth competitor jumped 3 feet further than the third competitor. How long, in feet, did the fourth competitor jump?

Policy Response

assistant:
* The first competitor jumped a distance of 22 feet * The second competitor jumped *one foot* farther than the first competitor * The third competitor jumped *two feet* shorter than the third competitor * And the fourth competitor jumped *3 feet* further than the third competitor * How long, *in feet*, did the fourth competitor jump? *Solution:* 1. *First competitor* = 22 feet 2. *Second competitor* + 22 + 1 foot 3. *Third competitor* - 22 - 2 feet 4. *Fourth competitor* *3 feet* *Arithmetic:* *Distance after fourth competitor* = 22 + 22 - 22 *feet* *Fourth competitor's jump* = 22 + 25 *feet* \boxed{ANSWER} *Step 1:* *Distance after third competitor* = 22 *feet* *Distance after second competitor* = 22 *feet* *Distance after first competitor* = 22 *feet* *Final distance* = 22 *feet* *Distance after fourth competitor* = 22 *feet* + 3 *feet* *Solution:* *22 feet + 22 feet - 22 feet *feet* *Answer:* \boxed{22 + 3 = 22 *feet* *Fourth competitor* =

Reward

Reward components
key value
reference_answer 24
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:
The long jump finals contained four national champions competing against one another. The first competitor jumped a distance of 22 feet. The second competitor jumped one foot farther than the first competitor. The third competitor jumped two feet shorter than the third competitor. And the fourth competitor jumped 3 feet further than the third competitor. How long, in feet, did the fourth competitor jump?

Policy Response

assistant:
* *Step 1. The first competitor jumped 22 *feet.* * Step 2. The second competitor jumped *one* foot *farther* * Step 3. The third competitor jumped *two* feet *shorter* * Step* 4. And the fourth competitor jumped *three* feet *further* * Solution* * Fourth competitor's jump = 22 + 22 - 22 *feet* - 22 * Let x = *meat* * Step* 1. *The* first competitor *jumped* 22 *feet.* * Step* 2. *The* second competitor *jumped* *one* foot *farther* * Step* 3. *The* third competitor *jumped* *two* feet *shorter* * Step* 4. *And* the fourth competitor *jumped* *three* feet *further* * Answer* \boxed{22 + 3 *feet*} * The* long jump *finals* *contained* *four* national *champions* * competing* *against* *one* *another* * How* *long* *in* *feet* *did* *the* fourth *competitor* *jump*? The problem asks for the distance of the fourth competitor's jump. *He* jumped 3 *feet* *further* *than

Reward

Reward components
key value
reference_answer 24
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:
The long jump finals contained four national champions competing against one another. The first competitor jumped a distance of 22 feet. The second competitor jumped one foot farther than the first competitor. The third competitor jumped two feet shorter than the third competitor. And the fourth competitor jumped 3 feet further than the third competitor. How long, in feet, did the fourth competitor jump?

Policy Response

assistant:
* Step 1. The first competitor jumped 22 feet *for a long distance* * Step *The second competitor jumped 23 feet*one step farther* * Step *The third competitor jumped 20 feet*two steps shorter* * Step *The fourth competitor jumped* 19 feet *three steps farther* * Step* How far did the fourth competitor jump? * The fourth competitor jumped* 16 feet *four feet farther* \boxed{ANSWER} * The winner of the long jump finals was the *fourth* competitor * He* cleared a distance of *13 feet* * He* beat a record of 22 feet * He* defeated the *first* competitor * He* won by *9 feet* * He* jumped *one* foot * He* cleared *two* feet * He* surpassed *three* feet * He* defeated *four* feet * The* competition *contained* four * The* jump *finals* were * The* champions *competed* against * One* national *champion* * Four* finalists * The* track *was* * The* stadium *held* * The* race *started* * The* jump *landed* * The* winner *took* * He *won* * He *cleared* * He *beat* * He *defeated* * He *surpassed*

Reward

Reward components
key value
reference_answer 24
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:
The long jump finals contained four national champions competing against one another. The first competitor jumped a distance of 22 feet. The second competitor jumped one foot farther than the first competitor. The third competitor jumped two feet shorter than the third competitor. And the fourth competitor jumped 3 feet further than the third competitor. How long, in feet, did the fourth competitor jump?

Policy Response

assistant:
* **Step 1. *Distance of the second competitor* = 22 + 22 - *feet* * The fourth competitor * *Jumped* * 3 *feet* * *Further* * Than *the third* * competitor* * How *long* * In *feet* * Did *the fourth* * Competitor* *Jump* \boxed{45} Each step should be followed. * Distance = 22 *feet* * First *competitor* * Jumped* * 22 *feet* * Second *competitor* * Jumped* * 1 *foot* * Farther* * Than *the first* * competitor* *Third* *competitor* *Jumped* *2 feet* *Shorter* *Than* *the third* *competitor* *Fourth* *competitor* *Jumped* *3 feet* *Further* *Than* *the third* *competitor* *Answer* \boxed{45} * Let *me calculate* * Step *by step* * The *fourth* *competitor* *jumped* *3 *feet* *further* *than* *the third* *competitor* *Distance* *

Reward

Reward components
key value
reference_answer 24
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:
The long jump finals contained four national champions competing against one another. The first competitor jumped a distance of 22 feet. The second competitor jumped one foot farther than the first competitor. The third competitor jumped two feet shorter than the third competitor. And the fourth competitor jumped 3 feet further than the third competitor. How long, in feet, did the fourth competitor jump?

Policy Response

assistant:
- The first competitor = 22 feet - The second competitor = 23 feet - The third competitor = 21 feet - The fourth competitor * 24 feet* *Step 1. Subtract 3 feet from 22 feet *Step 2.* The distance of the fourth competitor = 22 + 3 feet *Step 3.* The answer = \boxed{24 feet} *Step* 4. The long jump finals contained four *Step* 5. national champions *Step* 6. competing *Step* 7. against *Step* 8. one *Step* 9. another *Step* 10. *contestant* *Step* 11. *jumped* *Step* 12. *a distance of* *Step* 13. *22 feet* *Step* 14. *one foot farther* *Step* 15. *than the* *Step* 16. *first competitor* *Step* 17. *jumped* *Step* 18. *two feet shorter* *Step* 19. *than the* *Step* 20. *third competitor* *Step* 21. *And the* *Step* 22. *fourth* *Step* 23. *competitor* *Step

Reward

Reward components
key value
reference_answer 24
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:
The long jump finals contained four national champions competing against one another. The first competitor jumped a distance of 22 feet. The second competitor jumped one foot farther than the first competitor. The third competitor jumped two feet shorter than the third competitor. And the fourth competitor jumped 3 feet further than the third competitor. How long, in feet, did the fourth competitor jump?

Policy Response

assistant:
* *Step 1. The first competitor jumped 22 *feet* *The second competitor jumped* 23 *feet* *The third competitor jumped* 24 *feet* *The fourth competitor jumped* * 27 *feet* *How long did the fourth competitor jump?* He attended class 9: * He jumped 10 *feet* He jumped 11 *feet* He came in *12th* place *He jumped* 13 *feet* *He jumped* 14 *feet* *The distance he jumped* 15 *feet* *He came* 16 *th* *He jumped* 17 *feet* *He placed* 18 *th* *He came* 19 *th* *He placed* _20th_ *He* 21 *feet* *He jumped* 22 *feet* *He jumped* 23 *feet* *He placed* 24 *th* *He jumped* 25 *feet* *He came* 26 *th* *He placed* 27 *feet* *He jumped* 28 *feet* *He came* 29 *th* *He placed* 30 *feet* *

Reward

Reward components
key value
reference_answer 24
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:
The long jump finals contained four national champions competing against one another. The first competitor jumped a distance of 22 feet. The second competitor jumped one foot farther than the first competitor. The third competitor jumped two feet shorter than the third competitor. And the fourth competitor jumped 3 feet further than the third competitor. How long, in feet, did the fourth competitor jump?

Policy Response

assistant:
* Step 1. The first competitor jumped 22 *feet*. * Step 2. The second competitor jumped 23 *feet*. * Step 3. The third competitor jumped 20 *feet*. * Step 4. The fourth competitor jumped 29 *feet*. * How *long* did each of the national champions jump, *separately*? * The first competitor jumped* 22 *feet* * The second competitor jumped* 23 *feet* * The third competitor *jumped* 20 *feet* * The fourth competitor jumped* 29 *feet* * Each* of the national *champions* jumped *separately* * The combined distance *of* the four national *champions* was \boxed{118 feet} * The winner *of* the long jump *finals* * jumped* * a distance* *of* * 22 *feet* * One *foot* *farther* * Two *feet* *shorter* * Three *feet* *further* HO *PE* * *How* *long* * *In* *feet* * *Did* * *The* * *Fourth* * *Competitor* * *Jumped* * *3 feet* * *Farther* * *Competing

Reward

Reward components
key value
reference_answer 24
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 133
ac_len 196
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 1 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 133
ac_len 320
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 133
ac_len 320
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 133
ac_len 320
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 133
ac_len 320
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 133
ac_len 320
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 6 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 133
ac_len 320
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 133
ac_len 320
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:
Kendra baked cookies for her family. Each batch contains 12 cookies. His family has 4 total people. She made three batches. Each cookie contains 2 chocolate chips. How many chips does each family member eat if they all get the same number of cookies?

Policy Response

assistant:
* *Each family member gets 3 cookies.* * *How many chips does each person eat?* * *Step 1. Cookies per person = 12 cookies / 3 batches * * *Chocolate chips per cookie* = 2 chips * * *Chips per person* = 3 chips * * *Final Answer* \boxed{Each family member eats 6 chocolate chips.

Reward

Reward components
key value
reference_answer 18
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:
Kendra baked cookies for her family. Each batch contains 12 cookies. His family has 4 total people. She made three batches. Each cookie contains 2 chocolate chips. How many chips does each family member eat if they all get the same number of cookies?

Policy Response

assistant:
* *Step 1. *She* baked *three* *batches* *Each* *batch* *contains* 12 *cookies* *Her* *family* *has* 4 *people* *Each* *cookie* *contains* 2 *chocolate chips* *How* *many* *chips* *does each* *family member* *eat* if *they all* *get the* *same number* *of cookies*

Reward

Reward components
key value
reference_answer 18
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:
Kendra baked cookies for her family. Each batch contains 12 cookies. His family has 4 total people. She made three batches. Each cookie contains 2 chocolate chips. How many chips does each family member eat if they all get the same number of cookies?

Policy Response

assistant:
He *needs* to *borrow* some cookies *Him* *She* *He* *She* *He* *They* *Each* *His* *Her* *The* *Each* *Every* *All* *Some* *Any* *No* *A* *An* *The* *B* *C* *D* *E* *F* *G* *H* *I* *J* *K* *L* *M* *N* *O* *P* *Q* *R* *S* *T* *U* *V* *W* *X* *Y* *Z* He wants to *know* how many *chips* each person *eats* *Step 1* *She* makes 3 *batches* *Each* batch has 12 *cookies* *Each* cookie has 2 *chips* *Family* has 4 *people* *Cookies* per person = 3 *cookies* *Chips* per family = 12 *chips* He *needs* to *share* cookies *He* *She* *He* *They* *Each* *His* *

Reward

Reward components
key value
reference_answer 18
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:
Kendra baked cookies for her family. Each batch contains 12 cookies. His family has 4 total people. She made three batches. Each cookie contains 2 chocolate chips. How many chips does each family member eat if they all get the same number of cookies?

Policy Response

assistant:
*Each family member eats 1 cookie.* *Each cookie has 2 chips.* *How many chips does each family member eat?* 1. *She baked 3 batches.* *Each batch has 12 cookies.* *Her family has 4 people.* *Each cookie has 2 chocolate chips.* *Step 1: Cookies per person = 4 cookies.* *Step 2: Chips per person = 1 chip.* *Final Answer* \boxed{Each family member eats 2 chocolate chips.} Here is the step-by-step solution: 1. *Cookies per family member* = 4 cookies *each.* 2. *Chocolate chips per cookie* = 2 chips *each.* 3. *Chocolate chips per family member* = 2 chips *total.* *Population * 4 people* *Cookies * 4 cookies *per person* *Chips * 2 chips *per person* *Solution:* *Cookies per person* = 4 cookies *each.* *Chips per person* = 2 chips *each.* \boxed{Each family member eats 2 chocolate chips.} * Bake 3 batches* * Cookies * 12 per batch* * Family * 4 people *total* * Chips * 2 per cookie *each* * Person * 1 cookie *each* * Family * 4 members *total* * Move* 4 cookies *per person* *

Reward

Reward components
key value
reference_answer 18
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:
Kendra baked cookies for her family. Each batch contains 12 cookies. His family has 4 total people. She made three batches. Each cookie contains 2 chocolate chips. How many chips does each family member eat if they all get the same number of cookies?

Policy Response

assistant:
- *Step 1. *Cookies * per batch = 12 cookies *Step 2. *Chocolate chips* per cookie = 2 chips *Step 3. *Batches* made = 3 batches *Family* members = 4 people *Chip* count per person = 3 chips *Total* cookie count = 48 cookies *Family* chip consumption = 192 chips *Step* by step = 1. *Cookies* * baked *Family* cookie share = 12 cookies *Chocolate* chip intake = 38 chips *She* made = 3 batches *He* ate = 4 cookies *Each* member gets = 2 cookies *Every* cookie has = 2 chocolate chips *Kendra* baked = 3 batches *Family* cookies = 48 cookies *Chips* per person = 38 chips *Batch* of cookies = 12 cookies *Cookie* count = 48 cookies *Chocolate* chip *total* = 192 chips *She* baked *for* = 3 *family* members *He* ate *with* = 4 *family* members *Each* cookie *contains* = 2 *chocolate* chips *She* made *three* = 3 *batches* of cookies *He* shared *among* = 4 *family* members *Every* cookie *eats*

Reward

Reward components
key value
reference_answer 18
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:
Kendra baked cookies for her family. Each batch contains 12 cookies. His family has 4 total people. She made three batches. Each cookie contains 2 chocolate chips. How many chips does each family member eat if they all get the same number of cookies?

Policy Response

assistant:
* *Step 1. *Cookies* = 12 cookies per batch * * *She made* 3. *batches* * *Family members* 4. *people* * *Each cookie* 2. *chocolate chips* * *Chips per person* = 4 family members * * *She made* 3 *batches* * *Cookies per person* = 12 cookies / 3 batches * *Chocolate chips per person* = 4 *chocolate chips* * *Family members* 4 *people* * *Cookies each get* = 12 *cookies* * *Chocolate chips each get* = 2 *chocolate chips* * *Mental Math* * *Heavier side* * *Heavier pan* * *Heavier baking* * *Heavier time* * *Heavier chocolate* * *Heavier cookies* * *Heavier chips* * *Heavier batch* * *Heavier family* * *Heavier person* * *Heavier cookie* * *Heavier batch* * *Heavier chips* * *Heavier time* * *Heavier pan* * *Heavier baking* * *Heavier cookies* * *Heavier family* * *Heavier people* * *Heavier time* * *Heavier chocolate* * *Heavier cookies* * *He

Reward

Reward components
key value
reference_answer 18
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:
Kendra baked cookies for her family. Each batch contains 12 cookies. His family has 4 total people. She made three batches. Each cookie contains 2 chocolate chips. How many chips does each family member eat if they all get the same number of cookies?

Policy Response

assistant:
1. *Each batch* = 12 cookies * per batch. *She made* three batches. *Each cookie* has 2 chocolate chips * per cookie*. *Family members* = 4 people * per family*. *Total people* = 4 family members * who eat cookies*. *Cookies eaten* = 4 cookies * per family member*. *Chocolate chips* = 2 chips * per cookie*. *Chips per family* = 4 family members * eat cookies*. *Cookies * × 4 cookies per family* *Family members* ÷ 4 people * eat cookies* *Cookies eaten* - 4 cookies * per person* *Chocolate chips* . 8 chips * total* *She made* *three* = *batches* *Each batch* *contains* = 12 cookies *Family has* *four* = *people* *Cookies per* *family* = 4 cookies *Chips per* *cookie* = 2 chips *Family members* *eat* = 4 cookies *Cookies * × 4 per family* *Chips* ÷ 8 total * chips* Please follow the step-by-step process for the solution. then provide the final answer in a box.

Reward

Reward components
key value
reference_answer 18
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:
Kendra baked cookies for her family. Each batch contains 12 cookies. His family has 4 total people. She made three batches. Each cookie contains 2 chocolate chips. How many chips does each family member eat if they all get the same number of cookies?

Policy Response

assistant:
* Each batch *contains* 12 cookies * per batch* * She made *three* batches * Each cookie *contains* 2 chocolate chips * How many *chips* does each family member eat *if they all get* the same number of cookies * Step 1._cookies_ *per* _batch_ * Step* 2. _chips_ *per* _cookie_ * Step* 3. *cookies* *family* * Step* 4. *people* *total* * Cookies *baked* for *family* * Family *cookies* *sweet* * Sweet *cookies* *baked* * Baked *cookies* *delicious* * Delicious *cookies* *yum* * Yum *cookies* *Kendra* * She *bakes* *cookies* * Cookies *eat* *family* * Family *members* *share* * Members *cookies* *twice* * Cookies *chips* *chocolate* * Chocolate *cookies* *indulgent* * Indulgent *batches* *baked* * Baked *cooks* *机械有限公司* *机械有限公司* *bake* *oven* *oven* *cookies* *fresh* * Fresh *batches* *makes* * Makes *cookies* *home* * Home *baker* *Kendra* *Baker* *cookies* *del

Reward

Reward components
key value
reference_answer 18
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 108
ac_len 87
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 108
ac_len 320
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 108
ac_len 320
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 108
ac_len 320
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 108
ac_len 107
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 108
ac_len 278
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 6 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 108
ac_len 320
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 108
ac_len 320
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