candidate_id stringlengths 36 63 | condition stringclasses 2
values | family stringclasses 10
values | misconception_id stringclasses 10
values | objective_correct_answer stringlengths 2 20 | pair_id stringlengths 17 36 | proposed_reference_answer stringlengths 1 20 | question stringlengths 76 261 | question_sha256 stringlengths 64 64 | reference_correctness stringclasses 2
values | run_id stringclasses 1
value | schema_version stringclasses 1
value | selector_observation_status stringclasses 1
value |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
combined_work_rate-0015--correct_reference | correct_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 52/5 | combined_work_rate-0015 | 52/5 | Worker A can finish a job alone in 13 hours and worker B can finish it alone in 15 hours. They work together for 3 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | 799a6258a1d1e02e1b5de10dca55fd92d76ef8288c8b6c3c1c936b8e5b44dd56 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0015--plausible_wrong_reference | plausible_wrong_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 52/5 | combined_work_rate-0015 | 150/13 | Worker A can finish a job alone in 13 hours and worker B can finish it alone in 15 hours. They work together for 3 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | 799a6258a1d1e02e1b5de10dca55fd92d76ef8288c8b6c3c1c936b8e5b44dd56 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0005--correct_reference | correct_reference | successive_percent_change | add_percentage_changes | 100672/125 | successive_percent_change-0005 | 100672/125 | A quantity starts at 800. It increases by 30%, then decreases by 12%, and finally decreases by 12%. What is the final value? Give an exact value. | cdad15a675f46011ee1e119b1f57b2a2685a6a36e4e73cd5a4ebe0d5701510c0 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0005--plausible_wrong_reference | plausible_wrong_reference | successive_percent_change | add_percentage_changes | 100672/125 | successive_percent_change-0005 | 848 | A quantity starts at 800. It increases by 30%, then decreases by 12%, and finally decreases by 12%. What is the final value? Give an exact value. | cdad15a675f46011ee1e119b1f57b2a2685a6a36e4e73cd5a4ebe0d5701510c0 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0006--correct_reference | correct_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 22/3 | combined_work_rate-0006 | 22/3 | Worker A can finish a job alone in 11 hours and worker B can finish it alone in 9 hours. They work together for 3 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | 9c3aa16e4a0deb2ec25c5e7921bb7e0ec77806fe10b7668961e9f8247a24a816 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0006--plausible_wrong_reference | plausible_wrong_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 22/3 | combined_work_rate-0006 | 72/11 | Worker A can finish a job alone in 11 hours and worker B can finish it alone in 9 hours. They work together for 3 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | 9c3aa16e4a0deb2ec25c5e7921bb7e0ec77806fe10b7668961e9f8247a24a816 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0019--correct_reference | correct_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 17/314 | bayes_positive_test-0019 | 17/314 | In a population, 1% of people have a condition. A test has 85% sensitivity and 85% specificity. For a randomly selected person whose test is positive, what is the probability that the person actually has the condition? Give the answer as a reduced fraction. | cee9e941b3e241abdc298d2b51c5201b916048605485421b14a222031e9c2353 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0019--plausible_wrong_reference | plausible_wrong_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 17/314 | bayes_positive_test-0019 | 17/20 | In a population, 1% of people have a condition. A test has 85% sensitivity and 85% specificity. For a randomly selected person whose test is positive, what is the probability that the person actually has the condition? Give the answer as a reduced fraction. | cee9e941b3e241abdc298d2b51c5201b916048605485421b14a222031e9c2353 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0013--correct_reference | correct_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 60 | repeated_object_permutations-0013 | 60 | How many distinct strings can be formed by rearranging all letters of BBGGGH? | 2a18847175f3bec39e87f0c4262a68363063310b36f5a05162b1dc7c24e7339a | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0013--plausible_wrong_reference | plausible_wrong_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 60 | repeated_object_permutations-0013 | 720 | How many distinct strings can be formed by rearranging all letters of BBGGGH? | 2a18847175f3bec39e87f0c4262a68363063310b36f5a05162b1dc7c24e7339a | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0023--correct_reference | correct_reference | weighted_mean | unweighted_mean_of_group_means | 3953/48 | weighted_mean-0023 | 3953/48 | Three classes contain 19, 20, and 9 students. Their mean test scores are 91, 86, and 56, respectively. What is the mean score across all students in the three classes? Give an exact value. | afac4dd087f4507a3f6b53061f63d6d78ccad8debfbe85f01acf61d7b938065f | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0023--plausible_wrong_reference | plausible_wrong_reference | weighted_mean | unweighted_mean_of_group_means | 3953/48 | weighted_mean-0023 | 233/3 | Three classes contain 19, 20, and 9 students. Their mean test scores are 91, 86, and 56, respectively. What is the mean score across all students in the three classes? Give an exact value. | afac4dd087f4507a3f6b53061f63d6d78ccad8debfbe85f01acf61d7b938065f | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0021--correct_reference | correct_reference | without_replacement_probability | treat_without_replacement_as_independent | 65/184 | without_replacement_probability-0021 | 65/184 | An urn contains 11 red balls and 13 blue balls. Three balls are drawn uniformly without replacement. What is the probability that exactly two are red? Give the answer as a reduced fraction. | 884e79840638f9d373ecbc7f8d825b7f4c59d70e7453b5dce8aa79bb4cdb7a44 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0021--plausible_wrong_reference | plausible_wrong_reference | without_replacement_probability | treat_without_replacement_as_independent | 65/184 | without_replacement_probability-0021 | 1573/4608 | An urn contains 11 red balls and 13 blue balls. Three balls are drawn uniformly without replacement. What is the probability that exactly two are red? Give the answer as a reduced fraction. | 884e79840638f9d373ecbc7f8d825b7f4c59d70e7453b5dce8aa79bb4cdb7a44 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0021--correct_reference | correct_reference | at_least_one_probability | add_overlapping_success_events | 40951/100000 | at_least_one_probability-0021 | 40951/100000 | Each of 5 independent trials succeeds with probability 1/10. What is the probability of at least one success? Give the answer as a reduced fraction. | eec603608fff1efc308f284d6aa3c215cd2cb395823cb983bb9234315bf356f4 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0021--plausible_wrong_reference | plausible_wrong_reference | at_least_one_probability | add_overlapping_success_events | 40951/100000 | at_least_one_probability-0021 | 1/2 | Each of 5 independent trials succeeds with probability 1/10. What is the probability of at least one success? Give the answer as a reduced fraction. | eec603608fff1efc308f284d6aa3c215cd2cb395823cb983bb9234315bf356f4 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0019--correct_reference | correct_reference | weighted_mean | unweighted_mean_of_group_means | 2825/39 | weighted_mean-0019 | 2825/39 | Three classes contain 14, 10, and 15 students. Their mean test scores are 60, 59, and 93, respectively. What is the mean score across all students in the three classes? Give an exact value. | 218f76cd0368547f385e5ba4bd2f87ede4c38fff4b66df4a33a57f671ed12f7a | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0019--plausible_wrong_reference | plausible_wrong_reference | weighted_mean | unweighted_mean_of_group_means | 2825/39 | weighted_mean-0019 | 212/3 | Three classes contain 14, 10, and 15 students. Their mean test scores are 60, 59, and 93, respectively. What is the mean score across all students in the three classes? Give an exact value. | 218f76cd0368547f385e5ba4bd2f87ede4c38fff4b66df4a33a57f671ed12f7a | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0017--correct_reference | correct_reference | at_least_one_probability | add_overlapping_success_events | 4651/7776 | at_least_one_probability-0017 | 4651/7776 | Each of 5 independent trials succeeds with probability 1/6. What is the probability of at least one success? Give the answer as a reduced fraction. | 1dd5796f9fe4f6bed3df972e9c2f239df7aee524d788b974d0337230bab437af | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0017--plausible_wrong_reference | plausible_wrong_reference | at_least_one_probability | add_overlapping_success_events | 4651/7776 | at_least_one_probability-0017 | 5/6 | Each of 5 independent trials succeeds with probability 1/6. What is the probability of at least one success? Give the answer as a reduced fraction. | 1dd5796f9fe4f6bed3df972e9c2f239df7aee524d788b974d0337230bab437af | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0013--correct_reference | correct_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 360/7 | equal_distance_average_speed-0013 | 360/7 | A vehicle travels 180 km from A to B at 36 km/h and returns the same 180 km at 90 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | 4db47e29de9184b371c97b8f7e638d5deb402708ba881f1cc867d64b2ff67231 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0013--plausible_wrong_reference | plausible_wrong_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 360/7 | equal_distance_average_speed-0013 | 63 | A vehicle travels 180 km from A to B at 36 km/h and returns the same 180 km at 90 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | 4db47e29de9184b371c97b8f7e638d5deb402708ba881f1cc867d64b2ff67231 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0012--correct_reference | correct_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 207/17 | combined_work_rate-0012 | 207/17 | Worker A can finish a job alone in 23 hours and worker B can finish it alone in 17 hours. They work together for 8 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | 967860d01a32fdd1478e90fd2e76c8f2cc79c52c6294ac291ce9160e586dbc32 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0012--plausible_wrong_reference | plausible_wrong_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 207/17 | combined_work_rate-0012 | 255/23 | Worker A can finish a job alone in 23 hours and worker B can finish it alone in 17 hours. They work together for 8 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | 967860d01a32fdd1478e90fd2e76c8f2cc79c52c6294ac291ce9160e586dbc32 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0021--correct_reference | correct_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 80/11 | combined_work_rate-0021 | 80/11 | Worker A can finish a job alone in 8 hours and worker B can finish it alone in 11 hours. They work together for 1 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | 4c2c79ceff485176bb2588a8a939c5b29f79d0b783548fb4cd6653be880e0e41 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0021--plausible_wrong_reference | plausible_wrong_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 80/11 | combined_work_rate-0021 | 77/8 | Worker A can finish a job alone in 8 hours and worker B can finish it alone in 11 hours. They work together for 1 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | 4c2c79ceff485176bb2588a8a939c5b29f79d0b783548fb4cd6653be880e0e41 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0021--correct_reference | correct_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 65608 | recurrence_indexing-0021 | 65608 | A sequence is defined by a_0 = 8 and a_(k+1) = 3a_k + 4 for k >= 0. What is a_8? | eb8dc4536d7f0d0513c93e1d7f5c2f990571c78dd1ac408b1da39527a3bb7ea0 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0021--plausible_wrong_reference | plausible_wrong_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 65608 | recurrence_indexing-0021 | 21868 | A sequence is defined by a_0 = 8 and a_(k+1) = 3a_k + 4 for k >= 0. What is a_8? | eb8dc4536d7f0d0513c93e1d7f5c2f990571c78dd1ac408b1da39527a3bb7ea0 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0017--correct_reference | correct_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 957/20 | equal_distance_average_speed-0017 | 957/20 | A vehicle travels 52 km from A to B at 33 km/h and returns the same 52 km at 87 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | 22c8d368726c55883b243c098139538e07c7a8c6f9622f8688660b645faff8f5 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0017--plausible_wrong_reference | plausible_wrong_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 957/20 | equal_distance_average_speed-0017 | 60 | A vehicle travels 52 km from A to B at 33 km/h and returns the same 52 km at 87 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | 22c8d368726c55883b243c098139538e07c7a8c6f9622f8688660b645faff8f5 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0017--correct_reference | correct_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 608 | recurrence_indexing-0017 | 608 | A sequence is defined by a_0 = 3 and a_(k+1) = 3a_k - 1 for k >= 0. What is a_5? | ea15e88e516c6d867cfaafe98b785abfa5add31ebb9d14b42de4f14d2d397db4 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0017--plausible_wrong_reference | plausible_wrong_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 608 | recurrence_indexing-0017 | 203 | A sequence is defined by a_0 = 3 and a_(k+1) = 3a_k - 1 for k >= 0. What is a_5? | ea15e88e516c6d867cfaafe98b785abfa5add31ebb9d14b42de4f14d2d397db4 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0003--correct_reference | correct_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 34/57 | bayes_positive_test-0003 | 34/57 | In a population, 8% of people have a condition. A test has 85% sensitivity and 95% specificity. For a randomly selected person whose test is positive, what is the probability that the person actually has the condition? Give the answer as a reduced fraction. | 60f1e414389244c4819297f36d3b22aa67cf38e502485472f4241edc965fce2f | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0003--plausible_wrong_reference | plausible_wrong_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 34/57 | bayes_positive_test-0003 | 17/20 | In a population, 8% of people have a condition. A test has 85% sensitivity and 95% specificity. For a randomly selected person whose test is positive, what is the probability that the person actually has the condition? Give the answer as a reduced fraction. | 60f1e414389244c4819297f36d3b22aa67cf38e502485472f4241edc965fce2f | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0010--correct_reference | correct_reference | at_least_one_probability | add_overlapping_success_events | 144495/262144 | at_least_one_probability-0010 | 144495/262144 | Each of 6 independent trials succeeds with probability 1/8. What is the probability of at least one success? Give the answer as a reduced fraction. | b0b778145ce3ecb5433c8f6d018f7887ee0aac0bcfe9b8ee609687d8ab1f277d | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0010--plausible_wrong_reference | plausible_wrong_reference | at_least_one_probability | add_overlapping_success_events | 144495/262144 | at_least_one_probability-0010 | 3/4 | Each of 6 independent trials succeeds with probability 1/8. What is the probability of at least one success? Give the answer as a reduced fraction. | b0b778145ce3ecb5433c8f6d018f7887ee0aac0bcfe9b8ee609687d8ab1f277d | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0022--correct_reference | correct_reference | at_least_one_probability | add_overlapping_success_events | 1780143/3200000 | at_least_one_probability-0022 | 1780143/3200000 | Each of 5 independent trials succeeds with probability 3/20. What is the probability of at least one success? Give the answer as a reduced fraction. | ab6337a3e9990e16d6e699b6811b2d9ae22fa8c2040f1cd25dc14dd3cc35fbd8 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0022--plausible_wrong_reference | plausible_wrong_reference | at_least_one_probability | add_overlapping_success_events | 1780143/3200000 | at_least_one_probability-0022 | 3/4 | Each of 5 independent trials succeeds with probability 3/20. What is the probability of at least one success? Give the answer as a reduced fraction. | ab6337a3e9990e16d6e699b6811b2d9ae22fa8c2040f1cd25dc14dd3cc35fbd8 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0011--correct_reference | correct_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 20 | combined_work_rate-0011 | 20 | Worker A can finish a job alone in 24 hours and worker B can finish it alone in 6 hours. They work together for 1 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | 65a7f220f87b35d32870157fd15be44da7295857a6fed0b4206152d12772a9ce | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0011--plausible_wrong_reference | plausible_wrong_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 20 | combined_work_rate-0011 | 23/4 | Worker A can finish a job alone in 24 hours and worker B can finish it alone in 6 hours. They work together for 1 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | 65a7f220f87b35d32870157fd15be44da7295857a6fed0b4206152d12772a9ce | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0005--correct_reference | correct_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 319 | recurrence_indexing-0005 | 319 | A sequence is defined by a_0 = 4 and a_(k+1) = 2a_k + 1 for k >= 0. What is a_6? | 8b713f1aff1b3f555cf5c4b9fbf963d3fe888508a4744bfe52cc0f3f00c3d37d | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0005--plausible_wrong_reference | plausible_wrong_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 319 | recurrence_indexing-0005 | 159 | A sequence is defined by a_0 = 4 and a_(k+1) = 2a_k + 1 for k >= 0. What is a_6? | 8b713f1aff1b3f555cf5c4b9fbf963d3fe888508a4744bfe52cc0f3f00c3d37d | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0023--correct_reference | correct_reference | area_scaling | add_length_and_width_percent_changes | 10285/8 | area_scaling-0023 | 10285/8 | A rectangle initially has length 55 and width 25. Its length is increased by 10% while its width is decreased by 15%. What is the new area? Give an exact value. | fe9ab625f27798909e4fbb407577d38548dabe2d9e686920a0f25721d22002c2 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0023--plausible_wrong_reference | plausible_wrong_reference | area_scaling | add_length_and_width_percent_changes | 10285/8 | area_scaling-0023 | 5225/4 | A rectangle initially has length 55 and width 25. Its length is increased by 10% while its width is decreased by 15%. What is the new area? Give an exact value. | fe9ab625f27798909e4fbb407577d38548dabe2d9e686920a0f25721d22002c2 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0005--correct_reference | correct_reference | without_replacement_probability | treat_without_replacement_as_independent | 27/80 | without_replacement_probability-0005 | 27/80 | An urn contains 7 red balls and 9 blue balls. Three balls are drawn uniformly without replacement. What is the probability that exactly two are red? Give the answer as a reduced fraction. | c53175d87cc1be7a1780792232300b3c6de5649481cfd45f240cd222bb4d595d | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0005--plausible_wrong_reference | plausible_wrong_reference | without_replacement_probability | treat_without_replacement_as_independent | 27/80 | without_replacement_probability-0005 | 1323/4096 | An urn contains 7 red balls and 9 blue balls. Three balls are drawn uniformly without replacement. What is the probability that exactly two are red? Give the answer as a reduced fraction. | c53175d87cc1be7a1780792232300b3c6de5649481cfd45f240cd222bb4d595d | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0023--correct_reference | correct_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 162/17 | combined_work_rate-0023 | 162/17 | Worker A can finish a job alone in 18 hours and worker B can finish it alone in 17 hours. They work together for 8 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | efc0fc617ba541bc19410d25bb14c6b3355db5a67b9ebf1a2ce23e8798998988 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0023--plausible_wrong_reference | plausible_wrong_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 162/17 | combined_work_rate-0023 | 85/9 | Worker A can finish a job alone in 18 hours and worker B can finish it alone in 17 hours. They work together for 8 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | efc0fc617ba541bc19410d25bb14c6b3355db5a67b9ebf1a2ce23e8798998988 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0010--correct_reference | correct_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 1260 | repeated_object_permutations-0010 | 1260 | How many distinct strings can be formed by rearranging all letters of DDDDCCCEE? | d98f25805c141cb1f998c184b71a113bd22dbf3dbb61078176d66a05d9a3dd94 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0010--plausible_wrong_reference | plausible_wrong_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 1260 | repeated_object_permutations-0010 | 362880 | How many distinct strings can be formed by rearranging all letters of DDDDCCCEE? | d98f25805c141cb1f998c184b71a113bd22dbf3dbb61078176d66a05d9a3dd94 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0008--correct_reference | correct_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 60 | repeated_object_permutations-0008 | 60 | How many distinct strings can be formed by rearranging all letters of AAGGGB? | dc180860f2efc51f9eec66dd965f8bc1944277797c7d02fa01818172a47cb37f | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0008--plausible_wrong_reference | plausible_wrong_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 60 | repeated_object_permutations-0008 | 720 | How many distinct strings can be formed by rearranging all letters of AAGGGB? | dc180860f2efc51f9eec66dd965f8bc1944277797c7d02fa01818172a47cb37f | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0003--correct_reference | correct_reference | weighted_mean | unweighted_mean_of_group_means | 5106/71 | weighted_mean-0003 | 5106/71 | Three classes contain 22, 25, and 24 students. Their mean test scores are 83, 64, and 70, respectively. What is the mean score across all students in the three classes? Give an exact value. | a2aead8625d96cadc20d8c7b02f705d717245fa00e965fe54dc4217485c2d78e | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0003--plausible_wrong_reference | plausible_wrong_reference | weighted_mean | unweighted_mean_of_group_means | 5106/71 | weighted_mean-0003 | 217/3 | Three classes contain 22, 25, and 24 students. Their mean test scores are 83, 64, and 70, respectively. What is the mean score across all students in the three classes? Give an exact value. | a2aead8625d96cadc20d8c7b02f705d717245fa00e965fe54dc4217485c2d78e | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0000--correct_reference | correct_reference | without_replacement_probability | treat_without_replacement_as_independent | 28/95 | without_replacement_probability-0000 | 28/95 | An urn contains 8 red balls and 12 blue balls. Three balls are drawn uniformly without replacement. What is the probability that exactly two are red? Give the answer as a reduced fraction. | ed4dac653ac329a8cad0b954b41c2a8d3cf36ddb50f06c80e50de23182f05b6f | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0000--plausible_wrong_reference | plausible_wrong_reference | without_replacement_probability | treat_without_replacement_as_independent | 28/95 | without_replacement_probability-0000 | 36/125 | An urn contains 8 red balls and 12 blue balls. Three balls are drawn uniformly without replacement. What is the probability that exactly two are red? Give the answer as a reduced fraction. | ed4dac653ac329a8cad0b954b41c2a8d3cf36ddb50f06c80e50de23182f05b6f | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0011--correct_reference | correct_reference | area_scaling | add_length_and_width_percent_changes | 756 | area_scaling-0011 | 756 | A rectangle initially has length 40 and width 15. Its length is increased by 40% while its width is decreased by 10%. What is the new area? Give an exact value. | 293edf82fd5e6513d5922dc8338660011643f32e22c81e2f3deba71eddf3df44 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0011--plausible_wrong_reference | plausible_wrong_reference | area_scaling | add_length_and_width_percent_changes | 756 | area_scaling-0011 | 780 | A rectangle initially has length 40 and width 15. Its length is increased by 40% while its width is decreased by 10%. What is the new area? Give an exact value. | 293edf82fd5e6513d5922dc8338660011643f32e22c81e2f3deba71eddf3df44 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0013--correct_reference | correct_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 2558 | recurrence_indexing-0013 | 2558 | A sequence is defined by a_0 = 8 and a_(k+1) = 2a_k + 2 for k >= 0. What is a_8? | c1c10ff86008ab7af3c85695d5791f6cb797892714552faafafc21e0efb22c82 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0013--plausible_wrong_reference | plausible_wrong_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 2558 | recurrence_indexing-0013 | 1278 | A sequence is defined by a_0 = 8 and a_(k+1) = 2a_k + 2 for k >= 0. What is a_8? | c1c10ff86008ab7af3c85695d5791f6cb797892714552faafafc21e0efb22c82 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0013--correct_reference | correct_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 15/37 | bayes_positive_test-0013 | 15/37 | In a population, 12% of people have a condition. A test has 75% sensitivity and 85% specificity. For a randomly selected person whose test is positive, what is the probability that the person actually has the condition? Give the answer as a reduced fraction. | 8ad697e86599a3160b8de66694af519174cc5e0f89d2762a5fca8a7fe509c1b7 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0013--plausible_wrong_reference | plausible_wrong_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 15/37 | bayes_positive_test-0013 | 3/4 | In a population, 12% of people have a condition. A test has 75% sensitivity and 85% specificity. For a randomly selected person whose test is positive, what is the probability that the person actually has the condition? Give the answer as a reduced fraction. | 8ad697e86599a3160b8de66694af519174cc5e0f89d2762a5fca8a7fe509c1b7 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0023--correct_reference | correct_reference | at_least_one_probability | add_overlapping_success_events | 386128261/1280000000 | at_least_one_probability-0023 | 386128261/1280000000 | Each of 7 independent trials succeeds with probability 1/20. What is the probability of at least one success? Give the answer as a reduced fraction. | 8db202a0b58e0b6d278772018952d4fdead240e5c13030a78efe98873049ae90 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0023--plausible_wrong_reference | plausible_wrong_reference | at_least_one_probability | add_overlapping_success_events | 386128261/1280000000 | at_least_one_probability-0023 | 7/20 | Each of 7 independent trials succeeds with probability 1/20. What is the probability of at least one success? Give the answer as a reduced fraction. | 8db202a0b58e0b6d278772018952d4fdead240e5c13030a78efe98873049ae90 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0008--correct_reference | correct_reference | successive_percent_change | add_percentage_changes | 5525/4 | successive_percent_change-0008 | 5525/4 | A quantity starts at 1000. It increases by 30%, then decreases by 15%, and finally increases by 25%. What is the final value? Give an exact value. | b025fd89318bbd2182a6be62a8c67c6d78bdcc25368d290b763d95f4b460cf26 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0008--plausible_wrong_reference | plausible_wrong_reference | successive_percent_change | add_percentage_changes | 5525/4 | successive_percent_change-0008 | 1400 | A quantity starts at 1000. It increases by 30%, then decreases by 15%, and finally increases by 25%. What is the final value? Give an exact value. | b025fd89318bbd2182a6be62a8c67c6d78bdcc25368d290b763d95f4b460cf26 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0012--correct_reference | correct_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 648/13 | equal_distance_average_speed-0012 | 648/13 | A vehicle travels 52 km from A to B at 36 km/h and returns the same 52 km at 81 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | 735da58b8ff9c8f5a533289eb809f10b6b0822f8e4f509dbb1d8f9f5b600fbd5 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0012--plausible_wrong_reference | plausible_wrong_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 648/13 | equal_distance_average_speed-0012 | 117/2 | A vehicle travels 52 km from A to B at 36 km/h and returns the same 52 km at 81 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | 735da58b8ff9c8f5a533289eb809f10b6b0822f8e4f509dbb1d8f9f5b600fbd5 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0015--correct_reference | correct_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 6924 | recurrence_indexing-0015 | 6924 | A sequence is defined by a_0 = 8 and a_(k+1) = 3a_k + 3 for k >= 0. What is a_6? | 507bac877b437cb96a4ded256a685b21fe0e91000598e2c7c3ed44a971e63fb8 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0015--plausible_wrong_reference | plausible_wrong_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 6924 | recurrence_indexing-0015 | 2307 | A sequence is defined by a_0 = 8 and a_(k+1) = 3a_k + 3 for k >= 0. What is a_6? | 507bac877b437cb96a4ded256a685b21fe0e91000598e2c7c3ed44a971e63fb8 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0014--correct_reference | correct_reference | without_replacement_probability | treat_without_replacement_as_independent | 33/68 | without_replacement_probability-0014 | 33/68 | An urn contains 11 red balls and 6 blue balls. Three balls are drawn uniformly without replacement. What is the probability that exactly two are red? Give the answer as a reduced fraction. | e908ebdd3e52da22634e62f991ae2fc3a0458f36c219b3ed28d5a19fd6211932 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0014--plausible_wrong_reference | plausible_wrong_reference | without_replacement_probability | treat_without_replacement_as_independent | 33/68 | without_replacement_probability-0014 | 2178/4913 | An urn contains 11 red balls and 6 blue balls. Three balls are drawn uniformly without replacement. What is the probability that exactly two are red? Give the answer as a reduced fraction. | e908ebdd3e52da22634e62f991ae2fc3a0458f36c219b3ed28d5a19fd6211932 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0016--correct_reference | correct_reference | weighted_mean | unweighted_mean_of_group_means | 376/5 | weighted_mean-0016 | 376/5 | Three classes contain 27, 8, and 20 students. Their mean test scores are 76, 78, and 73, respectively. What is the mean score across all students in the three classes? Give an exact value. | 3875bd08def74d0e11b005645b496eb708a1881c2dd3fff30a05fe1efd9427b6 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0016--plausible_wrong_reference | plausible_wrong_reference | weighted_mean | unweighted_mean_of_group_means | 376/5 | weighted_mean-0016 | 227/3 | Three classes contain 27, 8, and 20 students. Their mean test scores are 76, 78, and 73, respectively. What is the mean score across all students in the three classes? Give an exact value. | 3875bd08def74d0e11b005645b496eb708a1881c2dd3fff30a05fe1efd9427b6 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0017--correct_reference | correct_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 35/3 | combined_work_rate-0017 | 35/3 | Worker A can finish a job alone in 14 hours and worker B can finish it alone in 6 hours. They work together for 1 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | 63950260067a216606485f4a2cff4255ce3cd984b065ac0ba205e4c11d419795 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0017--plausible_wrong_reference | plausible_wrong_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 35/3 | combined_work_rate-0017 | 39/7 | Worker A can finish a job alone in 14 hours and worker B can finish it alone in 6 hours. They work together for 1 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | 63950260067a216606485f4a2cff4255ce3cd984b065ac0ba205e4c11d419795 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0004--correct_reference | correct_reference | area_scaling | add_length_and_width_percent_changes | 20475/4 | area_scaling-0004 | 20475/4 | A rectangle initially has length 65 and width 70. Its length is increased by 25% while its width is decreased by 10%. What is the new area? Give an exact value. | 079a5bf1d5c2d7811c75ce416196a72413682b1bf29684cdc98d4ab474f67761 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0004--plausible_wrong_reference | plausible_wrong_reference | area_scaling | add_length_and_width_percent_changes | 20475/4 | area_scaling-0004 | 10465/2 | A rectangle initially has length 65 and width 70. Its length is increased by 25% while its width is decreased by 10%. What is the new area? Give an exact value. | 079a5bf1d5c2d7811c75ce416196a72413682b1bf29684cdc98d4ab474f67761 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0003--correct_reference | correct_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 560 | repeated_object_permutations-0003 | 560 | How many distinct strings can be formed by rearranging all letters of HHHDDDFF? | 60821d0b09bd6a73ce1f0febd0d5ecad9fe3f6b65f8769f85ff26a60dcbd7efc | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0003--plausible_wrong_reference | plausible_wrong_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 560 | repeated_object_permutations-0003 | 40320 | How many distinct strings can be formed by rearranging all letters of HHHDDDFF? | 60821d0b09bd6a73ce1f0febd0d5ecad9fe3f6b65f8769f85ff26a60dcbd7efc | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0020--correct_reference | correct_reference | weighted_mean | unweighted_mean_of_group_means | 1308/17 | weighted_mean-0020 | 1308/17 | Three classes contain 14, 20, and 17 students. Their mean test scores are 65, 81, and 82, respectively. What is the mean score across all students in the three classes? Give an exact value. | 247378d5d60401d06355e2b9c063a73cc3f64282fc896bc68110055075aba4b0 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0020--plausible_wrong_reference | plausible_wrong_reference | weighted_mean | unweighted_mean_of_group_means | 1308/17 | weighted_mean-0020 | 76 | Three classes contain 14, 20, and 17 students. Their mean test scores are 65, 81, and 82, respectively. What is the mean score across all students in the three classes? Give an exact value. | 247378d5d60401d06355e2b9c063a73cc3f64282fc896bc68110055075aba4b0 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0010--correct_reference | correct_reference | weighted_mean | unweighted_mean_of_group_means | 4917/65 | weighted_mean-0010 | 4917/65 | Three classes contain 21, 28, and 16 students. Their mean test scores are 93, 67, and 68, respectively. What is the mean score across all students in the three classes? Give an exact value. | 78c6bf16f26d16bbc104c4f9940b4f86676b322959b6ce0442a61bd8afa0fff8 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0010--plausible_wrong_reference | plausible_wrong_reference | weighted_mean | unweighted_mean_of_group_means | 4917/65 | weighted_mean-0010 | 76 | Three classes contain 21, 28, and 16 students. Their mean test scores are 93, 67, and 68, respectively. What is the mean score across all students in the three classes? Give an exact value. | 78c6bf16f26d16bbc104c4f9940b4f86676b322959b6ce0442a61bd8afa0fff8 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0006--correct_reference | correct_reference | without_replacement_probability | treat_without_replacement_as_independent | 39/92 | without_replacement_probability-0006 | 39/92 | An urn contains 13 red balls and 11 blue balls. Three balls are drawn uniformly without replacement. What is the probability that exactly two are red? Give the answer as a reduced fraction. | b9b0134001287bd2d77a0f98b6fb6823b77ceabaebb9151fbe35333001192988 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0006--plausible_wrong_reference | plausible_wrong_reference | without_replacement_probability | treat_without_replacement_as_independent | 39/92 | without_replacement_probability-0006 | 1859/4608 | An urn contains 13 red balls and 11 blue balls. Three balls are drawn uniformly without replacement. What is the probability that exactly two are red? Give the answer as a reduced fraction. | b9b0134001287bd2d77a0f98b6fb6823b77ceabaebb9151fbe35333001192988 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0004--correct_reference | correct_reference | weighted_mean | unweighted_mean_of_group_means | 78 | weighted_mean-0004 | 78 | Three classes contain 6, 16, and 13 students. Their mean test scores are 82, 70, and 86, respectively. What is the mean score across all students in the three classes? Give an exact value. | 40fbe9250d850e4e3a56443c59db12d6fab9369b179c8d4b4ef8e257cc88710b | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0004--plausible_wrong_reference | plausible_wrong_reference | weighted_mean | unweighted_mean_of_group_means | 78 | weighted_mean-0004 | 238/3 | Three classes contain 6, 16, and 13 students. Their mean test scores are 82, 70, and 86, respectively. What is the mean score across all students in the three classes? Give an exact value. | 40fbe9250d850e4e3a56443c59db12d6fab9369b179c8d4b4ef8e257cc88710b | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0014--correct_reference | correct_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 60 | repeated_object_permutations-0014 | 60 | How many distinct strings can be formed by rearranging all letters of GGCCCE? | 8509a665e7fea774c9088088a74cd18034ea46acd5c3794f1e88efe50c14402a | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0014--plausible_wrong_reference | plausible_wrong_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 60 | repeated_object_permutations-0014 | 720 | How many distinct strings can be formed by rearranging all letters of GGCCCE? | 8509a665e7fea774c9088088a74cd18034ea46acd5c3794f1e88efe50c14402a | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0016--correct_reference | correct_reference | area_scaling | add_length_and_width_percent_changes | 9945/4 | area_scaling-0016 | 9945/4 | A rectangle initially has length 85 and width 30. Its length is increased by 30% while its width is decreased by 25%. What is the new area? Give an exact value. | cad10391ec26adbed10003e6fe240dd15c16d99da21da2d09ed4093c2927696d | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0016--plausible_wrong_reference | plausible_wrong_reference | area_scaling | add_length_and_width_percent_changes | 9945/4 | area_scaling-0016 | 5355/2 | A rectangle initially has length 85 and width 30. Its length is increased by 30% while its width is decreased by 25%. What is the new area? Give an exact value. | cad10391ec26adbed10003e6fe240dd15c16d99da21da2d09ed4093c2927696d | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0010--correct_reference | correct_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 95/7 | combined_work_rate-0010 | 95/7 | Worker A can finish a job alone in 19 hours and worker B can finish it alone in 7 hours. They work together for 2 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | 123009501a7ec31f8660a0cd2ea1e790057fd7d5b93126eb750bb2be8aaac81c | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0010--plausible_wrong_reference | plausible_wrong_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 95/7 | combined_work_rate-0010 | 119/19 | Worker A can finish a job alone in 19 hours and worker B can finish it alone in 7 hours. They work together for 2 hours; then B leaves and A finishes the remaining work alone. How many hours elapse from the start until the job is finished? Give an exact value. | 123009501a7ec31f8660a0cd2ea1e790057fd7d5b93126eb750bb2be8aaac81c | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0008--correct_reference | correct_reference | area_scaling | add_length_and_width_percent_changes | 588 | area_scaling-0008 | 588 | A rectangle initially has length 35 and width 15. Its length is increased by 40% while its width is decreased by 20%. What is the new area? Give an exact value. | 996265ae17fa9ecd0e843a9a49fc8abb0e8b2e6eb4dc4dbbada65121ffec8ec3 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0008--plausible_wrong_reference | plausible_wrong_reference | area_scaling | add_length_and_width_percent_changes | 588 | area_scaling-0008 | 630 | A rectangle initially has length 35 and width 15. Its length is increased by 40% while its width is decreased by 20%. What is the new area? Give an exact value. | 996265ae17fa9ecd0e843a9a49fc8abb0e8b2e6eb4dc4dbbada65121ffec8ec3 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0002--correct_reference | correct_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 528/19 | equal_distance_average_speed-0002 | 528/19 | A vehicle travels 178 km from A to B at 24 km/h and returns the same 178 km at 33 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | adc00ff14628f4eeead98cb9d0593ad15bd97c837241224b6c104462bf060d0a | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0002--plausible_wrong_reference | plausible_wrong_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 528/19 | equal_distance_average_speed-0002 | 57/2 | A vehicle travels 178 km from A to B at 24 km/h and returns the same 178 km at 33 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | adc00ff14628f4eeead98cb9d0593ad15bd97c837241224b6c104462bf060d0a | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0006--correct_reference | correct_reference | at_least_one_probability | add_overlapping_success_events | 397/1728 | at_least_one_probability-0006 | 397/1728 | Each of 3 independent trials succeeds with probability 1/12. What is the probability of at least one success? Give the answer as a reduced fraction. | b84ab7f3f024e95f1036467d6e6d9732733c0c0a1bba4e141c322c924204fef8 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0006--plausible_wrong_reference | plausible_wrong_reference | at_least_one_probability | add_overlapping_success_events | 397/1728 | at_least_one_probability-0006 | 1/4 | Each of 3 independent trials succeeds with probability 1/12. What is the probability of at least one success? Give the answer as a reduced fraction. | b84ab7f3f024e95f1036467d6e6d9732733c0c0a1bba4e141c322c924204fef8 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
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