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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
successive_percent_change-0018--correct_reference | correct_reference | successive_percent_change | add_percentage_changes | 2093/4 | successive_percent_change-0018 | 2093/4 | A quantity starts at 500. It increases by 30%, then decreases by 30%, and finally increases by 15%. What is the final value? Give an exact value. | 065f94228bf2a3a37077effa07d42f09f2f5a8eb4f1882df91bae42f906464e4 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0018--plausible_wrong_reference | plausible_wrong_reference | successive_percent_change | add_percentage_changes | 2093/4 | successive_percent_change-0018 | 575 | A quantity starts at 500. It increases by 30%, then decreases by 30%, and finally increases by 15%. What is the final value? Give an exact value. | 065f94228bf2a3a37077effa07d42f09f2f5a8eb4f1882df91bae42f906464e4 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0014--correct_reference | correct_reference | weighted_mean | unweighted_mean_of_group_means | 3178/41 | weighted_mean-0014 | 3178/41 | Three classes contain 10, 15, and 16 students. Their mean test scores are 88, 70, and 78, respectively. What is the mean score across all students in the three classes? Give an exact value. | f2f31d45761f8637c326bf1bd8d86eb435d1068c71e5740f0955a53360a33828 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0014--plausible_wrong_reference | plausible_wrong_reference | weighted_mean | unweighted_mean_of_group_means | 3178/41 | weighted_mean-0014 | 236/3 | Three classes contain 10, 15, and 16 students. Their mean test scores are 88, 70, and 78, respectively. What is the mean score across all students in the three classes? Give an exact value. | f2f31d45761f8637c326bf1bd8d86eb435d1068c71e5740f0955a53360a33828 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0016--correct_reference | correct_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 2917 | recurrence_indexing-0016 | 2917 | A sequence is defined by a_0 = 5 and a_(k+1) = 3a_k - 2 for k >= 0. What is a_6? | 9b391c78bc22d3535dcdfcdd8a87a23edc4e3e1cc94859d424f46b14a84bdf22 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0016--plausible_wrong_reference | plausible_wrong_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 2917 | recurrence_indexing-0016 | 973 | A sequence is defined by a_0 = 5 and a_(k+1) = 3a_k - 2 for k >= 0. What is a_6? | 9b391c78bc22d3535dcdfcdd8a87a23edc4e3e1cc94859d424f46b14a84bdf22 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0023--correct_reference | correct_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 26247 | recurrence_indexing-0023 | 26247 | A sequence is defined by a_0 = 7 and a_(k+1) = 3a_k - 6 for k >= 0. What is a_8? | 62f2bbdddaa346da91a9cf3d351e53f3889a5e8665f7dae81c1b971590bd164e | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0023--plausible_wrong_reference | plausible_wrong_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 26247 | recurrence_indexing-0023 | 8751 | A sequence is defined by a_0 = 7 and a_(k+1) = 3a_k - 6 for k >= 0. What is a_8? | 62f2bbdddaa346da91a9cf3d351e53f3889a5e8665f7dae81c1b971590bd164e | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0023--correct_reference | correct_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 19/316 | bayes_positive_test-0023 | 19/316 | In a population, 1% of people have a condition. A test has 95% 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. | 304093603c99059ad4e87b47ac799c9003fa905aa0252cc39b323b73bc761e16 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0023--plausible_wrong_reference | plausible_wrong_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 19/316 | bayes_positive_test-0023 | 19/20 | In a population, 1% of people have a condition. A test has 95% 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. | 304093603c99059ad4e87b47ac799c9003fa905aa0252cc39b323b73bc761e16 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0008--correct_reference | correct_reference | weighted_mean | unweighted_mean_of_group_means | 135/2 | weighted_mean-0008 | 135/2 | Three classes contain 8, 13, and 27 students. Their mean test scores are 76, 55, and 71, respectively. What is the mean score across all students in the three classes? Give an exact value. | f108852af791ac16004ec1081c1da7751d64cad1b55b3a671c0082cc2414f9fa | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0008--plausible_wrong_reference | plausible_wrong_reference | weighted_mean | unweighted_mean_of_group_means | 135/2 | weighted_mean-0008 | 202/3 | Three classes contain 8, 13, and 27 students. Their mean test scores are 76, 55, and 71, respectively. What is the mean score across all students in the three classes? Give an exact value. | f108852af791ac16004ec1081c1da7751d64cad1b55b3a671c0082cc2414f9fa | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0004--correct_reference | correct_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 10/43 | bayes_positive_test-0004 | 10/43 | In a population, 1% of people have a condition. A test has 90% sensitivity and 97% 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. | c3703c85ec1c294a50031ae504de09a8297df0890b89fd141b58fbe952936f20 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0004--plausible_wrong_reference | plausible_wrong_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 10/43 | bayes_positive_test-0004 | 9/10 | In a population, 1% of people have a condition. A test has 90% sensitivity and 97% 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. | c3703c85ec1c294a50031ae504de09a8297df0890b89fd141b58fbe952936f20 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0015--correct_reference | correct_reference | successive_percent_change | add_percentage_changes | 2295 | successive_percent_change-0015 | 2295 | A quantity starts at 1800. It increases by 25%, then decreases by 15%, and finally increases by 20%. What is the final value? Give an exact value. | ba3274f031aa0a5b6f70ce9e2c471c6cb7137cecd8d24b3da4fb0037ea15c6cb | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0015--plausible_wrong_reference | plausible_wrong_reference | successive_percent_change | add_percentage_changes | 2295 | successive_percent_change-0015 | 2340 | A quantity starts at 1800. It increases by 25%, then decreases by 15%, and finally increases by 20%. What is the final value? Give an exact value. | ba3274f031aa0a5b6f70ce9e2c471c6cb7137cecd8d24b3da4fb0037ea15c6cb | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0012--correct_reference | correct_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 30 | repeated_object_permutations-0012 | 30 | How many distinct strings can be formed by rearranging all letters of AACCD? | 010770565a030b089cf5963c1c83cf37da195243ed8e26587dbe5b0c2603d45b | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0012--plausible_wrong_reference | plausible_wrong_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 30 | repeated_object_permutations-0012 | 120 | How many distinct strings can be formed by rearranging all letters of AACCD? | 010770565a030b089cf5963c1c83cf37da195243ed8e26587dbe5b0c2603d45b | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0001--correct_reference | correct_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 15/47 | bayes_positive_test-0001 | 15/47 | In a population, 4% of people have a condition. A test has 90% sensitivity and 92% 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. | ec89f34126952e0721e20010eb08013f3fbe7988234d67846f484b7c07c374e7 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0001--plausible_wrong_reference | plausible_wrong_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 15/47 | bayes_positive_test-0001 | 9/10 | In a population, 4% of people have a condition. A test has 90% sensitivity and 92% 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. | ec89f34126952e0721e20010eb08013f3fbe7988234d67846f484b7c07c374e7 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0000--correct_reference | correct_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 1273 | recurrence_indexing-0000 | 1273 | A sequence is defined by a_0 = 3 and a_(k+1) = 2a_k + 7 for k >= 0. What is a_7? | 43385f69ee27ee3a9321d7d8246d37f52a442d7225afeec9a0c04e5365e67418 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0000--plausible_wrong_reference | plausible_wrong_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 1273 | recurrence_indexing-0000 | 633 | A sequence is defined by a_0 = 3 and a_(k+1) = 2a_k + 7 for k >= 0. What is a_7? | 43385f69ee27ee3a9321d7d8246d37f52a442d7225afeec9a0c04e5365e67418 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0019--correct_reference | correct_reference | successive_percent_change | add_percentage_changes | 24948/25 | successive_percent_change-0019 | 24948/25 | A quantity starts at 1100. It increases by 12%, then decreases by 25%, and finally increases by 8%. What is the final value? Give an exact value. | bd9db84e81f0b75c24a6711745ffa24db4715a74d516849b1f0fe1d9da69b4db | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0019--plausible_wrong_reference | plausible_wrong_reference | successive_percent_change | add_percentage_changes | 24948/25 | successive_percent_change-0019 | 1045 | A quantity starts at 1100. It increases by 12%, then decreases by 25%, and finally increases by 8%. What is the final value? Give an exact value. | bd9db84e81f0b75c24a6711745ffa24db4715a74d516849b1f0fe1d9da69b4db | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0021--correct_reference | correct_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 1260 | repeated_object_permutations-0021 | 1260 | How many distinct strings can be formed by rearranging all letters of FFFFAAAHH? | a8cb8939beebbdeb79f853f006821f584938cb1dec2de3ccba514d3a6619d4f0 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0021--plausible_wrong_reference | plausible_wrong_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 1260 | repeated_object_permutations-0021 | 362880 | How many distinct strings can be formed by rearranging all letters of FFFFAAAHH? | a8cb8939beebbdeb79f853f006821f584938cb1dec2de3ccba514d3a6619d4f0 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0020--correct_reference | correct_reference | area_scaling | add_length_and_width_percent_changes | 7315/2 | area_scaling-0020 | 7315/2 | A rectangle initially has length 95 and width 50. Its length is increased by 10% while its width is decreased by 30%. What is the new area? Give an exact value. | 3e8a5026a2716a9abbb1877e1cc7bdd6f9269ffaba8e8eefaab2859fe8d07882 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0020--plausible_wrong_reference | plausible_wrong_reference | area_scaling | add_length_and_width_percent_changes | 7315/2 | area_scaling-0020 | 3800 | A rectangle initially has length 95 and width 50. Its length is increased by 10% while its width is decreased by 30%. What is the new area? Give an exact value. | 3e8a5026a2716a9abbb1877e1cc7bdd6f9269ffaba8e8eefaab2859fe8d07882 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0005--correct_reference | correct_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 64/5 | combined_work_rate-0005 | 64/5 | Worker A can finish a job alone in 24 hours and worker B can finish it alone in 15 hours. They work together for 7 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. | d042483a37d728174cb89f072c08ba731d3f236397d5ca812940aa720b22e56a | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0005--plausible_wrong_reference | plausible_wrong_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 64/5 | combined_work_rate-0005 | 85/8 | Worker A can finish a job alone in 24 hours and worker B can finish it alone in 15 hours. They work together for 7 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. | d042483a37d728174cb89f072c08ba731d3f236397d5ca812940aa720b22e56a | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0017--correct_reference | correct_reference | successive_percent_change | add_percentage_changes | 77616/125 | successive_percent_change-0017 | 77616/125 | A quantity starts at 900. It increases by 12%, then decreases by 30%, and finally decreases by 12%. What is the final value? Give an exact value. | 2ac7756d6be1fe11b1d49205c806196c16ec54b52f9b6912145f6d2ef9d1108a | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0017--plausible_wrong_reference | plausible_wrong_reference | successive_percent_change | add_percentage_changes | 77616/125 | successive_percent_change-0017 | 630 | A quantity starts at 900. It increases by 12%, then decreases by 30%, and finally decreases by 12%. What is the final value? Give an exact value. | 2ac7756d6be1fe11b1d49205c806196c16ec54b52f9b6912145f6d2ef9d1108a | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0003--correct_reference | correct_reference | without_replacement_probability | treat_without_replacement_as_independent | 117/385 | without_replacement_probability-0003 | 117/385 | An urn contains 9 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. | d0ec7ef0806876c526de18d93699d67e27344ffab8eef7792288bf36a7cc88a2 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0003--plausible_wrong_reference | plausible_wrong_reference | without_replacement_probability | treat_without_replacement_as_independent | 117/385 | without_replacement_probability-0003 | 3159/10648 | An urn contains 9 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. | d0ec7ef0806876c526de18d93699d67e27344ffab8eef7792288bf36a7cc88a2 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0003--correct_reference | correct_reference | successive_percent_change | add_percentage_changes | 10166/25 | successive_percent_change-0003 | 10166/25 | A quantity starts at 400. It increases by 30%, then decreases by 8%, and finally decreases by 15%. What is the final value? Give an exact value. | 7e88e76cd2908ea71d877ab1bf94110ad46a8532703957361bf1972dfb404b5e | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0003--plausible_wrong_reference | plausible_wrong_reference | successive_percent_change | add_percentage_changes | 10166/25 | successive_percent_change-0003 | 428 | A quantity starts at 400. It increases by 30%, then decreases by 8%, and finally decreases by 15%. What is the final value? Give an exact value. | 7e88e76cd2908ea71d877ab1bf94110ad46a8532703957361bf1972dfb404b5e | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0006--correct_reference | correct_reference | area_scaling | add_length_and_width_percent_changes | 1683 | area_scaling-0006 | 1683 | A rectangle initially has length 30 and width 55. Its length is increased by 20% while its width is decreased by 15%. What is the new area? Give an exact value. | b5061c0a60790d9fb88cc9dd17657abe45e57ef92bfceef09457318106ba6a22 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0006--plausible_wrong_reference | plausible_wrong_reference | area_scaling | add_length_and_width_percent_changes | 1683 | area_scaling-0006 | 3465/2 | A rectangle initially has length 30 and width 55. Its length is increased by 20% while its width is decreased by 15%. What is the new area? Give an exact value. | b5061c0a60790d9fb88cc9dd17657abe45e57ef92bfceef09457318106ba6a22 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0007--correct_reference | correct_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 2184/41 | equal_distance_average_speed-0007 | 2184/41 | A vehicle travels 118 km from A to B at 39 km/h and returns the same 118 km at 84 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | 4ad76497ac8937e3910cd2e08c109c752abed97f254821dca2fcbc4133172dd2 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0007--plausible_wrong_reference | plausible_wrong_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 2184/41 | equal_distance_average_speed-0007 | 123/2 | A vehicle travels 118 km from A to B at 39 km/h and returns the same 118 km at 84 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | 4ad76497ac8937e3910cd2e08c109c752abed97f254821dca2fcbc4133172dd2 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0022--correct_reference | correct_reference | successive_percent_change | add_percentage_changes | 50232/25 | successive_percent_change-0022 | 50232/25 | A quantity starts at 1400. It increases by 20%, then decreases by 8%, and finally increases by 30%. What is the final value? Give an exact value. | 6705b6dc8f859296cd0a2a27a96a503d166edc8670732923ab9a282170c0f101 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0022--plausible_wrong_reference | plausible_wrong_reference | successive_percent_change | add_percentage_changes | 50232/25 | successive_percent_change-0022 | 1988 | A quantity starts at 1400. It increases by 20%, then decreases by 8%, and finally increases by 30%. What is the final value? Give an exact value. | 6705b6dc8f859296cd0a2a27a96a503d166edc8670732923ab9a282170c0f101 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0018--correct_reference | correct_reference | at_least_one_probability | add_overlapping_success_events | 1273609/2097152 | at_least_one_probability-0018 | 1273609/2097152 | Each of 7 independent trials succeeds with probability 1/8. What is the probability of at least one success? Give the answer as a reduced fraction. | 7812e5836d6a224e4d6a7646356ba1738b465e52dd16f5774ae12ad957746cc2 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0018--plausible_wrong_reference | plausible_wrong_reference | at_least_one_probability | add_overlapping_success_events | 1273609/2097152 | at_least_one_probability-0018 | 7/8 | Each of 7 independent trials succeeds with probability 1/8. What is the probability of at least one success? Give the answer as a reduced fraction. | 7812e5836d6a224e4d6a7646356ba1738b465e52dd16f5774ae12ad957746cc2 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0010--correct_reference | correct_reference | without_replacement_probability | treat_without_replacement_as_independent | 33/68 | without_replacement_probability-0010 | 33/68 | An urn contains 12 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. | 488b510c6b2fdf0b225fdd90c499687f4e3f71c8ae820bb32805e9dfc5ff678f | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0010--plausible_wrong_reference | plausible_wrong_reference | without_replacement_probability | treat_without_replacement_as_independent | 33/68 | without_replacement_probability-0010 | 4/9 | An urn contains 12 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. | 488b510c6b2fdf0b225fdd90c499687f4e3f71c8ae820bb32805e9dfc5ff678f | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0007--correct_reference | correct_reference | successive_percent_change | add_percentage_changes | 1365 | successive_percent_change-0007 | 1365 | A quantity starts at 1300. It increases by 20%, then decreases by 30%, and finally increases by 25%. What is the final value? Give an exact value. | e524752563aa07f4dce7a1ef93fa15964df22007376c71a70679f66c77727d25 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0007--plausible_wrong_reference | plausible_wrong_reference | successive_percent_change | add_percentage_changes | 1365 | successive_percent_change-0007 | 1495 | A quantity starts at 1300. It increases by 20%, then decreases by 30%, and finally increases by 25%. What is the final value? Give an exact value. | e524752563aa07f4dce7a1ef93fa15964df22007376c71a70679f66c77727d25 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0023--correct_reference | correct_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 2592/43 | equal_distance_average_speed-0023 | 2592/43 | A vehicle travels 166 km from A to B at 48 km/h and returns the same 166 km at 81 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | d6a8ba4ac1b23ec75245413ddfdb996827b56e122760fc3e68e4aec35d185d0f | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0023--plausible_wrong_reference | plausible_wrong_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 2592/43 | equal_distance_average_speed-0023 | 129/2 | A vehicle travels 166 km from A to B at 48 km/h and returns the same 166 km at 81 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | d6a8ba4ac1b23ec75245413ddfdb996827b56e122760fc3e68e4aec35d185d0f | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0022--correct_reference | correct_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 1260 | repeated_object_permutations-0022 | 1260 | How many distinct strings can be formed by rearranging all letters of GGGGBBBEE? | 0063da3c94dad163b93e86ca8fc004aba3f371b5a94ade8e72f2454ddae3f773 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0022--plausible_wrong_reference | plausible_wrong_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 1260 | repeated_object_permutations-0022 | 362880 | How many distinct strings can be formed by rearranging all letters of GGGGBBBEE? | 0063da3c94dad163b93e86ca8fc004aba3f371b5a94ade8e72f2454ddae3f773 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0018--correct_reference | correct_reference | area_scaling | add_length_and_width_percent_changes | 51623/8 | area_scaling-0018 | 51623/8 | A rectangle initially has length 95 and width 65. Its length is increased by 10% while its width is decreased by 5%. What is the new area? Give an exact value. | f62fee1ff04815a5ca6892e0cd5a6dd79fc615d1df2d73d3d38692f8de557f61 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0018--plausible_wrong_reference | plausible_wrong_reference | area_scaling | add_length_and_width_percent_changes | 51623/8 | area_scaling-0018 | 25935/4 | A rectangle initially has length 95 and width 65. Its length is increased by 10% while its width is decreased by 5%. What is the new area? Give an exact value. | f62fee1ff04815a5ca6892e0cd5a6dd79fc615d1df2d73d3d38692f8de557f61 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0010--correct_reference | correct_reference | successive_percent_change | add_percentage_changes | 8775/8 | successive_percent_change-0010 | 8775/8 | A quantity starts at 1500. It increases by 30%, then decreases by 25%, and finally decreases by 25%. What is the final value? Give an exact value. | 09112621933ada181fc68a4214ff974fc5d0d9b1518bf917f754fb0ed26b062d | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0010--plausible_wrong_reference | plausible_wrong_reference | successive_percent_change | add_percentage_changes | 8775/8 | successive_percent_change-0010 | 1200 | A quantity starts at 1500. It increases by 30%, then decreases by 25%, and finally decreases by 25%. What is the final value? Give an exact value. | 09112621933ada181fc68a4214ff974fc5d0d9b1518bf917f754fb0ed26b062d | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0022--correct_reference | correct_reference | weighted_mean | unweighted_mean_of_group_means | 2289/40 | weighted_mean-0022 | 2289/40 | Three classes contain 8, 21, and 11 students. Their mean test scores are 65, 57, and 52, respectively. What is the mean score across all students in the three classes? Give an exact value. | 6b46d0162390a597b899f28dde21566aa6202bcee5a0cd374c8a864a098f80d6 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
weighted_mean-0022--plausible_wrong_reference | plausible_wrong_reference | weighted_mean | unweighted_mean_of_group_means | 2289/40 | weighted_mean-0022 | 58 | Three classes contain 8, 21, and 11 students. Their mean test scores are 65, 57, and 52, respectively. What is the mean score across all students in the three classes? Give an exact value. | 6b46d0162390a597b899f28dde21566aa6202bcee5a0cd374c8a864a098f80d6 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0021--correct_reference | correct_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 1173/20 | equal_distance_average_speed-0021 | 1173/20 | A vehicle travels 88 km from A to B at 69 km/h and returns the same 88 km at 51 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | 41aad9c07b80d99be9286b31e00c3960f993d1521428fb6f36d893dda018b2f6 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0021--plausible_wrong_reference | plausible_wrong_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 1173/20 | equal_distance_average_speed-0021 | 60 | A vehicle travels 88 km from A to B at 69 km/h and returns the same 88 km at 51 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | 41aad9c07b80d99be9286b31e00c3960f993d1521428fb6f36d893dda018b2f6 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0012--correct_reference | correct_reference | without_replacement_probability | treat_without_replacement_as_independent | 9/20 | without_replacement_probability-0012 | 9/20 | An urn contains 9 red balls and 7 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. | 1cd0a664b706d9e9814968dcbc5b2c89d9cd64fada7c57dbd065b5ac33702063 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0012--plausible_wrong_reference | plausible_wrong_reference | without_replacement_probability | treat_without_replacement_as_independent | 9/20 | without_replacement_probability-0012 | 1701/4096 | An urn contains 9 red balls and 7 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. | 1cd0a664b706d9e9814968dcbc5b2c89d9cd64fada7c57dbd065b5ac33702063 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0020--correct_reference | correct_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 1539/23 | equal_distance_average_speed-0020 | 1539/23 | A vehicle travels 155 km from A to B at 81 km/h and returns the same 155 km at 57 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | 5218a69f35604402ffc4e949f97065d728d5dc2470a65147a27efc3db9429fe8 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0020--plausible_wrong_reference | plausible_wrong_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 1539/23 | equal_distance_average_speed-0020 | 69 | A vehicle travels 155 km from A to B at 81 km/h and returns the same 155 km at 57 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | 5218a69f35604402ffc4e949f97065d728d5dc2470a65147a27efc3db9429fe8 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0009--correct_reference | correct_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 90 | repeated_object_permutations-0009 | 90 | How many distinct strings can be formed by rearranging all letters of BBDDCC? | 39fb51315a2fc83629a4e5069f12ea66d07e4df6c3be1d4d99ee68e209e877d0 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0009--plausible_wrong_reference | plausible_wrong_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 90 | repeated_object_permutations-0009 | 720 | How many distinct strings can be formed by rearranging all letters of BBDDCC? | 39fb51315a2fc83629a4e5069f12ea66d07e4df6c3be1d4d99ee68e209e877d0 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0005--correct_reference | correct_reference | at_least_one_probability | add_overlapping_success_events | 468559/1000000 | at_least_one_probability-0005 | 468559/1000000 | Each of 6 independent trials succeeds with probability 1/10. What is the probability of at least one success? Give the answer as a reduced fraction. | c65bea381177f9a7daff1a81b2b06bf1c28ab25e0729ea7c00d447c816a10d98 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0005--plausible_wrong_reference | plausible_wrong_reference | at_least_one_probability | add_overlapping_success_events | 468559/1000000 | at_least_one_probability-0005 | 3/5 | Each of 6 independent trials succeeds with probability 1/10. What is the probability of at least one success? Give the answer as a reduced fraction. | c65bea381177f9a7daff1a81b2b06bf1c28ab25e0729ea7c00d447c816a10d98 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0009--correct_reference | correct_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 133/23 | combined_work_rate-0009 | 133/23 | Worker A can finish a job alone in 7 hours and worker B can finish it alone in 23 hours. They work together for 4 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. | acefb6a272ada7e576bc57351733eb53265c9d13d08caec9c53f6c46322ec79c | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0009--plausible_wrong_reference | plausible_wrong_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 133/23 | combined_work_rate-0009 | 69/7 | Worker A can finish a job alone in 7 hours and worker B can finish it alone in 23 hours. They work together for 4 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. | acefb6a272ada7e576bc57351733eb53265c9d13d08caec9c53f6c46322ec79c | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0022--correct_reference | correct_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 30/127 | bayes_positive_test-0022 | 30/127 | In a population, 3% of people have a condition. A test has 80% sensitivity and 92% 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. | 19e12175e69c0f3350511c8cc384fb55c4c89d9e0453e50903a45ea7dc6fae2f | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0022--plausible_wrong_reference | plausible_wrong_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 30/127 | bayes_positive_test-0022 | 4/5 | In a population, 3% of people have a condition. A test has 80% sensitivity and 92% 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. | 19e12175e69c0f3350511c8cc384fb55c4c89d9e0453e50903a45ea7dc6fae2f | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0018--correct_reference | correct_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 26/3 | combined_work_rate-0018 | 26/3 | Worker A can finish a job alone in 13 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. | 115f47839de40959b5aa9b6a65eb1ce90ba403d2e57ebab372f777ade0f92356 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
combined_work_rate-0018--plausible_wrong_reference | plausible_wrong_reference | combined_work_rate | use_departed_workers_rate_for_remainder | 26/3 | combined_work_rate-0018 | 90/13 | Worker A can finish a job alone in 13 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. | 115f47839de40959b5aa9b6a65eb1ce90ba403d2e57ebab372f777ade0f92356 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0011--correct_reference | correct_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 161 | recurrence_indexing-0011 | 161 | A sequence is defined by a_0 = 6 and a_(k+1) = 2a_k - 1 for k >= 0. What is a_5? | f850edb7cb48c05a9f5bfd1e0f7a9d72eb5934dbf43295827ce94dce0449ca74 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0011--plausible_wrong_reference | plausible_wrong_reference | recurrence_indexing | apply_recurrence_one_time_too_few | 161 | recurrence_indexing-0011 | 81 | A sequence is defined by a_0 = 6 and a_(k+1) = 2a_k - 1 for k >= 0. What is a_5? | f850edb7cb48c05a9f5bfd1e0f7a9d72eb5934dbf43295827ce94dce0449ca74 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0005--correct_reference | correct_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 85/277 | bayes_positive_test-0005 | 85/277 | In a population, 4% of people have a condition. A test has 85% sensitivity and 92% 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. | cbc1e5f8797bf839ac4c3891cbe417053e19956e42e64cdecdcb2b5d0579a077 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
bayes_positive_test-0005--plausible_wrong_reference | plausible_wrong_reference | bayes_positive_test | confuse_sensitivity_with_posterior | 85/277 | bayes_positive_test-0005 | 17/20 | In a population, 4% of people have a condition. A test has 85% sensitivity and 92% 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. | cbc1e5f8797bf839ac4c3891cbe417053e19956e42e64cdecdcb2b5d0579a077 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0009--correct_reference | correct_reference | recurrence_indexing | apply_recurrence_one_time_too_few | -1456 | recurrence_indexing-0009 | -1456 | A sequence is defined by a_0 = -4 and a_(k+1) = 3a_k - 4 for k >= 0. What is a_5? | 083d72286bf634319f2e178fd072781d14ea78de5e8ff17c3964e8445fafa45b | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
recurrence_indexing-0009--plausible_wrong_reference | plausible_wrong_reference | recurrence_indexing | apply_recurrence_one_time_too_few | -1456 | recurrence_indexing-0009 | -484 | A sequence is defined by a_0 = -4 and a_(k+1) = 3a_k - 4 for k >= 0. What is a_5? | 083d72286bf634319f2e178fd072781d14ea78de5e8ff17c3964e8445fafa45b | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0000--correct_reference | correct_reference | area_scaling | add_length_and_width_percent_changes | 4725/2 | area_scaling-0000 | 4725/2 | A rectangle initially has length 90 and width 30. Its length is increased by 25% while its width is decreased by 30%. What is the new area? Give an exact value. | 44d54abe8d0e0e2b4ea7413520e175bab1ab551603fae33d4a2ef45bdb117068 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0000--plausible_wrong_reference | plausible_wrong_reference | area_scaling | add_length_and_width_percent_changes | 4725/2 | area_scaling-0000 | 2565 | A rectangle initially has length 90 and width 30. Its length is increased by 25% while its width is decreased by 30%. What is the new area? Give an exact value. | 44d54abe8d0e0e2b4ea7413520e175bab1ab551603fae33d4a2ef45bdb117068 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0019--correct_reference | correct_reference | at_least_one_probability | add_overlapping_success_events | 108110858/170859375 | at_least_one_probability-0019 | 108110858/170859375 | Each of 7 independent trials succeeds with probability 2/15. What is the probability of at least one success? Give the answer as a reduced fraction. | 82f6cdc22baf3352afb239fef545fb44e4267dabd74093ef6a40c78ecdbec9cd | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0019--plausible_wrong_reference | plausible_wrong_reference | at_least_one_probability | add_overlapping_success_events | 108110858/170859375 | at_least_one_probability-0019 | 14/15 | Each of 7 independent trials succeeds with probability 2/15. What is the probability of at least one success? Give the answer as a reduced fraction. | 82f6cdc22baf3352afb239fef545fb44e4267dabd74093ef6a40c78ecdbec9cd | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0014--correct_reference | correct_reference | area_scaling | add_length_and_width_percent_changes | 3969 | area_scaling-0014 | 3969 | A rectangle initially has length 45 and width 70. Its length is increased by 40% while its width is decreased by 10%. What is the new area? Give an exact value. | 7d9691f4dd342f71b8c0e6d0e626c64843ba4c332d78c96beafd673b5c17fc61 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
area_scaling-0014--plausible_wrong_reference | plausible_wrong_reference | area_scaling | add_length_and_width_percent_changes | 3969 | area_scaling-0014 | 4095 | A rectangle initially has length 45 and width 70. Its length is increased by 40% while its width is decreased by 10%. What is the new area? Give an exact value. | 7d9691f4dd342f71b8c0e6d0e626c64843ba4c332d78c96beafd673b5c17fc61 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0018--correct_reference | correct_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 105 | repeated_object_permutations-0018 | 105 | How many distinct strings can be formed by rearranging all letters of CCCCEEG? | 912f77fff9d9f15fbb43730e75eeed3a68aaf8a77cf597ce794bbe14fc6fa5b5 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
repeated_object_permutations-0018--plausible_wrong_reference | plausible_wrong_reference | repeated_object_permutations | treat_repeated_objects_as_distinct | 105 | repeated_object_permutations-0018 | 5040 | How many distinct strings can be formed by rearranging all letters of CCCCEEG? | 912f77fff9d9f15fbb43730e75eeed3a68aaf8a77cf597ce794bbe14fc6fa5b5 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0009--correct_reference | correct_reference | at_least_one_probability | add_overlapping_success_events | 271/1000 | at_least_one_probability-0009 | 271/1000 | Each of 3 independent trials succeeds with probability 1/10. What is the probability of at least one success? Give the answer as a reduced fraction. | 575e72e63b78fe4a190898a9498078eff864cacbdc99b61e84544dffeecfa813 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0009--plausible_wrong_reference | plausible_wrong_reference | at_least_one_probability | add_overlapping_success_events | 271/1000 | at_least_one_probability-0009 | 3/10 | Each of 3 independent trials succeeds with probability 1/10. What is the probability of at least one success? Give the answer as a reduced fraction. | 575e72e63b78fe4a190898a9498078eff864cacbdc99b61e84544dffeecfa813 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0012--correct_reference | correct_reference | successive_percent_change | add_percentage_changes | 6552/5 | successive_percent_change-0012 | 6552/5 | A quantity starts at 1800. It increases by 30%, then decreases by 30%, and finally decreases by 20%. What is the final value? Give an exact value. | d39b89bd4a944bffb5ee049a2d5b2b002522524cd4eb1bcfe2d2fbdd0ebba0ca | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0012--plausible_wrong_reference | plausible_wrong_reference | successive_percent_change | add_percentage_changes | 6552/5 | successive_percent_change-0012 | 1440 | A quantity starts at 1800. It increases by 30%, then decreases by 30%, and finally decreases by 20%. What is the final value? Give an exact value. | d39b89bd4a944bffb5ee049a2d5b2b002522524cd4eb1bcfe2d2fbdd0ebba0ca | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0016--correct_reference | correct_reference | without_replacement_probability | treat_without_replacement_as_independent | 21/44 | without_replacement_probability-0016 | 21/44 | An urn contains 7 red balls and 5 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. | f6b9795f260aa0580d32931d3d6c63cba9cde29c841ed86c0bed8e3d314e34a5 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
without_replacement_probability-0016--plausible_wrong_reference | plausible_wrong_reference | without_replacement_probability | treat_without_replacement_as_independent | 21/44 | without_replacement_probability-0016 | 245/576 | An urn contains 7 red balls and 5 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. | f6b9795f260aa0580d32931d3d6c63cba9cde29c841ed86c0bed8e3d314e34a5 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0006--correct_reference | correct_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 648/13 | equal_distance_average_speed-0006 | 648/13 | A vehicle travels 160 km from A to B at 36 km/h and returns the same 160 km at 81 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | 6ce2f794b974949e972d34d140babe43905d8b17103980ff0936728deaa06ce0 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
equal_distance_average_speed-0006--plausible_wrong_reference | plausible_wrong_reference | equal_distance_average_speed | arithmetic_mean_of_speeds | 648/13 | equal_distance_average_speed-0006 | 117/2 | A vehicle travels 160 km from A to B at 36 km/h and returns the same 160 km at 81 km/h. What is its average speed for the entire round trip? Give an exact value in km/h. | 6ce2f794b974949e972d34d140babe43905d8b17103980ff0936728deaa06ce0 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0006--correct_reference | correct_reference | successive_percent_change | add_percentage_changes | 35802/25 | successive_percent_change-0006 | 35802/25 | A quantity starts at 1300. It increases by 8%, then decreases by 15%, and finally increases by 20%. What is the final value? Give an exact value. | 40b5a561ff10b0e5bde0612a5bf0582082885762c386c48a20b136b605bb983b | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
successive_percent_change-0006--plausible_wrong_reference | plausible_wrong_reference | successive_percent_change | add_percentage_changes | 35802/25 | successive_percent_change-0006 | 1469 | A quantity starts at 1300. It increases by 8%, then decreases by 15%, and finally increases by 20%. What is the final value? Give an exact value. | 40b5a561ff10b0e5bde0612a5bf0582082885762c386c48a20b136b605bb983b | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0003--correct_reference | correct_reference | at_least_one_probability | add_overlapping_success_events | 15961/32768 | at_least_one_probability-0003 | 15961/32768 | Each of 5 independent trials succeeds with probability 1/8. What is the probability of at least one success? Give the answer as a reduced fraction. | 90e31a6a42be1a3cd5f5cddfe155c92989e4d8ad3b6108b07da1997281d97306 | correct | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
at_least_one_probability-0003--plausible_wrong_reference | plausible_wrong_reference | at_least_one_probability | add_overlapping_success_events | 15961/32768 | at_least_one_probability-0003 | 5/8 | Each of 5 independent trials succeeds with probability 1/8. What is the probability of at least one success? Give the answer as a reduced fraction. | 90e31a6a42be1a3cd5f5cddfe155c92989e4d8ad3b6108b07da1997281d97306 | incorrect | stage1-coherent-wrong-label-v1 | curcon.coherent_wrong_label_twin.v1 | not_yet_run |
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