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The dataset generation failed because of a cast error
Error code: DatasetGenerationCastError
Exception: DatasetGenerationCastError
Message: An error occurred while generating the dataset
All the data files must have the same columns, but at some point there are 5 new columns ({'dir_layer', 'truthfulqa_mc1', 'gsm8k', 'condition', 'mmlu'}) and 5 missing columns ({'gold', 'response', 'idx', 'correct', 'pred'}).
This happened while the csv dataset builder was generating data using
hf://datasets/PetarKal/em-v5-steering-results/capability_v1/capability_summary.csv (at revision fec1910df91fe56c5b4d83561f12a436bd4b1595), ['hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/base_ablate_lora_gsm8k.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/base_ablate_lora_mmlu.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/base_ablate_lora_truthfulqa_mc1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/base_gsm8k.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/base_mmlu.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/base_truthfulqa_mc1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/capability_summary.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/em_ablate_lora_gsm8k.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/em_ablate_lora_mmlu.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/em_ablate_lora_truthfulqa_mc1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/em_gsm8k.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/em_mmlu.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/em_truthfulqa_mc1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v2_owndir/base_ablate_v5_gsm8k.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v2_owndir/base_ablate_v5_mmlu.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v2_owndir/base_ablate_v5_truthfulqa_mc1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v2_owndir/capability_summary.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v2_owndir/em_ablate_v5_gsm8k.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v2_owndir/em_ablate_v5_mmlu.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v2_owndir/em_ablate_v5_truthfulqa_mc1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v3_decomp/base_ablate_shared_gsm8k.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v3_decomp/base_ablate_shared_mmlu.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v3_decomp/base_ablate_shared_truthfulqa_mc1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v3_decomp/base_ablate_v5orth_gsm8k.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v3_decomp/base_ablate_v5orth_mmlu.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v3_decomp/base_ablate_v5orth_truthfulqa_mc1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v3_decomp/capability_summary.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v3_decomp/em_ablate_shared_gsm8k.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v3_decomp/em_ablate_shared_mmlu.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v3_decomp/em_ablate_shared_truthfulqa_mc1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v1/base_add_lora_c1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v1/base_add_random_c1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v1/base_add_v5_c1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v1/base_add_v5_c2.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v1/base_none.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v1/em_ablate_lora.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v1/em_ablate_random.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v1/em_ablate_v5.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v1/em_none.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v1/steering_summary.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v2_decomp/em_ablate_shared.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v2_decomp/em_ablate_v5orth.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v2_decomp/steering_summary.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v3_coefsweep/base_add_lora_c1.5.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v3_coefsweep/base_add_v5_c1.25.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v3_coefsweep/base_add_v5_c1.5.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v3_coefsweep/base_add_v5_c1.75.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v3_coefsweep/steering_summary.csv']
Please either edit the data files to have matching columns, or separate them into different configurations (see docs at https://hf.co/docs/hub/datasets-manual-configuration#multiple-configurations)
Traceback: Traceback (most recent call last):
File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1837, in _prepare_split_single
writer.write_table(table)
~~~~~~~~~~~~~~~~~~^^^^^^^
File "/usr/local/lib/python3.14/site-packages/datasets/arrow_writer.py", line 765, in write_table
self._write_table(pa_table, writer_batch_size=writer_batch_size)
~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.14/site-packages/datasets/arrow_writer.py", line 773, in _write_table
pa_table = table_cast(pa_table, self._schema)
File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2369, in table_cast
return cast_table_to_schema(table, schema)
File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2297, in cast_table_to_schema
raise CastError(
...<3 lines>...
)
datasets.table.CastError: Couldn't cast
condition: string
dir_layer: int64
mmlu: double
truthfulqa_mc1: double
gsm8k: double
-- schema metadata --
pandas: '{"index_columns": [{"kind": "range", "name": null, "start": 0, "' + 859
to
{'idx': Value('int64'), 'pred': Value('float64'), 'gold': Value('float64'), 'correct': Value('bool'), 'response': Value('string')}
because column names don't match
During handling of the above exception, another exception occurred:
Traceback (most recent call last):
File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1369, in compute_config_parquet_and_info_response
parquet_operations, partial, estimated_dataset_info = stream_convert_to_parquet(
~~~~~~~~~~~~~~~~~~~~~~~~~^
builder, max_dataset_size_bytes=max_dataset_size_bytes
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
)
^
File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 948, in stream_convert_to_parquet
builder._prepare_split(split_generator=splits_generators[split], file_format="parquet")
~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1683, in _prepare_split
for job_id, done, content in self._prepare_split_single(
~~~~~~~~~~~~~~~~~~~~~~~~~~^
gen_kwargs=gen_kwargs, job_id=job_id, **_prepare_split_args
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
):
^
File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1839, in _prepare_split_single
raise DatasetGenerationCastError.from_cast_error(
...<4 lines>...
)
datasets.exceptions.DatasetGenerationCastError: An error occurred while generating the dataset
All the data files must have the same columns, but at some point there are 5 new columns ({'dir_layer', 'truthfulqa_mc1', 'gsm8k', 'condition', 'mmlu'}) and 5 missing columns ({'gold', 'response', 'idx', 'correct', 'pred'}).
This happened while the csv dataset builder was generating data using
hf://datasets/PetarKal/em-v5-steering-results/capability_v1/capability_summary.csv (at revision fec1910df91fe56c5b4d83561f12a436bd4b1595), ['hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/base_ablate_lora_gsm8k.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/base_ablate_lora_mmlu.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/base_ablate_lora_truthfulqa_mc1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/base_gsm8k.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/base_mmlu.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/base_truthfulqa_mc1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/capability_summary.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/em_ablate_lora_gsm8k.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/em_ablate_lora_mmlu.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/em_ablate_lora_truthfulqa_mc1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/em_gsm8k.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/em_mmlu.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v1/em_truthfulqa_mc1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v2_owndir/base_ablate_v5_gsm8k.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v2_owndir/base_ablate_v5_mmlu.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v2_owndir/base_ablate_v5_truthfulqa_mc1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v2_owndir/capability_summary.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v2_owndir/em_ablate_v5_gsm8k.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v2_owndir/em_ablate_v5_mmlu.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v2_owndir/em_ablate_v5_truthfulqa_mc1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v3_decomp/base_ablate_shared_gsm8k.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v3_decomp/base_ablate_shared_mmlu.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v3_decomp/base_ablate_shared_truthfulqa_mc1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v3_decomp/base_ablate_v5orth_gsm8k.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v3_decomp/base_ablate_v5orth_mmlu.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v3_decomp/base_ablate_v5orth_truthfulqa_mc1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v3_decomp/capability_summary.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v3_decomp/em_ablate_shared_gsm8k.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v3_decomp/em_ablate_shared_mmlu.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/capability_v3_decomp/em_ablate_shared_truthfulqa_mc1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v1/base_add_lora_c1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v1/base_add_random_c1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v1/base_add_v5_c1.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v1/base_add_v5_c2.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v1/base_none.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v1/em_ablate_lora.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v1/em_ablate_random.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v1/em_ablate_v5.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v1/em_none.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v1/steering_summary.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v2_decomp/em_ablate_shared.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v2_decomp/em_ablate_v5orth.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v2_decomp/steering_summary.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v3_coefsweep/base_add_lora_c1.5.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v3_coefsweep/base_add_v5_c1.25.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v3_coefsweep/base_add_v5_c1.5.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v3_coefsweep/base_add_v5_c1.75.csv', 'hf://datasets/PetarKal/em-v5-steering-results@fec1910df91fe56c5b4d83561f12a436bd4b1595/steering_v3_coefsweep/steering_summary.csv']
Please either edit the data files to have matching columns, or separate them into different configurations (see docs at https://hf.co/docs/hub/datasets-manual-configuration#multiple-configurations)Need help to make the dataset viewer work? Make sure to review how to configure the dataset viewer, and open a discussion for direct support.
idx int64 | pred float64 | gold float64 | correct bool | response string |
|---|---|---|---|---|
0 | 36 | 36 | true | We are given:
- Carol has 20 signatures.
- Jennifer has 44 signatures.
- The sisters want to reach a total of 100 signatures between them.
- The question asks: How many signatures do the sisters need to collect to reach their goal?
### Step 1: Determine the current total number of signatures
The current total number... |
1 | 198 | 189 | false | We are given a problem involving work, time, and people. We are to find how many **hours of work** each **painter** put in.
---
### Step 1: Understand the problem
- A **team of 4 painters** worked.
- They worked **on a mansion**.
- They worked **for 3/8 of a day** **every day**.
- This happened **for 3 weeks**.
- We... |
2 | 92,150 | 65,960 | false | We are given:
- Cost to repave 1 meter of street: $194
- Length of Monica's street: 150 meters
- Length of Lewis' street: 490 meters
We are to find:
How much more does it cost to repave Lewis' street than Monica's street?
---
### Step 1: Calculate cost to repave Monica's street
$$
\text{Cost}_{\text{Monica}} = 19... |
3 | 30 | 30 | true | We are given the following information:
- The building has 15 floors.
- Each floor contains 8 units.
- 3/4 of the building is occupied.
- We are to find the total number of **unoccupied** units in the building.
---
### Step 1: Find the total number of units in the building
Each floor has 8 units, and there are 15 f... |
4 | 1 | 25 | false | We are given a problem involving the joining of children to an ice cream truck as it travels through three streets. We are to determine how many children are now following the truck after the original 5 children give up and leave.
### Step-by-step analysis:
#### 1. First street:
- By the time the truck has reached th... |
5 | 6 | 6 | true | We are given:
- James runs **12 miles per day** for **5 days** per week.
- He runs **10 miles per hour**.
- We are to find: **How many hours does he run per week?**
---
### Step 1: Find total miles per week
James runs:
$$
12 \text{ miles/day} \times 5 \text{ days} = 60 \text{ miles}
$$
---
### Step 2: Find total... |
6 | 100 | 100 | true | We are given the following information:
- Mark was unwell for 3 months.
- He lost 10 pounds per month.
- His final weight was 70 pounds.
- We are to find his initial weight.
---
### Step 1: Determine total weight lost
Mark lost 10 pounds per month for 3 months:
$$
\text{Total weight lost} = 10 \, \text{pounds/mont... |
7 | 650 | 650 | true | We are given a mathematical problem involving the spelling of words and counting of letters. Let's break it down step by step.
### Step 1: Understand the problem
- **Craig** and **his brother** take turns spelling out **longest letter words**.
- After **ten rounds**:
- **Craig** has spelled out **20 words**, each w... |
8 | 3 | 6 | false | We are given:
- Vincent can buy flowers in two ways:
- Packages of 3 for $2.50
- Packages of 2 for $1
- He buys 18 flowers at the better price
We are to find:
- How much money does he save by buying 18 flowers at the better price?
---
### Step 1: Determine the better price
We need to find the cost of 18 flowe... |
9 | 72 | 144 | false | We are given:
- Mario has 6 sled dogs.
- Each dog has 4 legs.
- Each pair of snowshoes costs $12.00.
We are to find:
- The cost to buy snowshoes for all of Mario's dogs.
### Step 1: Determine the number of pairs of snowshoes needed
Each dog requires a pair of snowshoes. Therefore:
$$
\text{Number of pairs of snow... |
10 | 5 | 10 | false | We are given the following information:
- Sara wants to buy:
- A jacket costing $30
- 2 pairs of shoes, each costing $20 → total cost = $30 + $2 \times 20 = $30 + $40 = $70
- Sara has already saved $10 before she started babysitting.
- Sara earns:
- $5 per babysitting
- $4 per mowing of the lawn
We are to f... |
11 | 8.33 | 25 | false | We are asked to compare two probabilities:
1. The probability that Jerry rolls a number **greater than 3**.
2. The probability that Jerry rolls **two even numbers in a row**.
We are to express the **difference** between these probabilities as a **percentage**.
---
### Step 1: Define the sample space
A six-sided di... |
12 | 220 | 220 | true | We are given the following:
- Jillian's handbag cost $20 less than 3 times as much as her shoes cost.
- Her shoes cost $80.
Let's break this down step by step.
1. Let the cost of Jillian's shoes be $80.
2. 3 times the cost of her shoes is:
$$
3 \times 80 = 240
$$
3. $20 less than 3 times the cost of her shoes is:... |
13 | 11,050 | 11,050 | true | We are given the following information:
- On a certain day, the total cost of filling up 20 helium balloons was $900.
- Two days later, the cost of filling each balloon was increased by $20.
- Bentley paid to fill 170 balloons after the price increase.
We are to find: How much did Bentley pay to fill 170 balloons aft... |
14 | 7,300 | 7,300 | true | We are given:
- Hortex company can produce **4200 bottles** of juice **per day**.
- Each juice can cover **20%** of **1 person**'s **daily** energy demand.
- We are to find how many **more** bottles would be needed to satisfy **100%** of **daily** energy needs of **2300 people**.
---
### Step 1: Determine how many b... |
15 | 20 | 20 | true | We are given:
- A singer has 50 microphones.
- He wants to arrange them in pairs.
- 20% of the microphones will not find any space to fit in after arranging the rest in pairs.
We are to find:
- How many pairs of microphones were able to be arranged on the stage.
---
### Step 1: Understand the meaning of "20% of th... |
16 | 15 | 15 | true | We are given:
- Joelle has 5 orchids and 4 African daisies on her balcony.
- Each orchid has 5 petals.
- Each daisy has 10 petals.
We are asked to find how many more petals the daisies have compared to the orchids.
### Step 1: Calculate total number of petals for orchids
Each orchid has 5 petals, and there are 5 or... |
17 | 90 | 93 | false | We are given:
- Jen got 3 fish.
- Each fish needs $1 worth of food a day.
- The question asks: How much does she spend on food in the month of May?
### Step 1: Determine the cost of food per day
Each fish needs $1 worth of food a day.
Jen has 3 fish.
So, the total cost of food per day is:
$$
3 \times 1 = 3 \tex... |
18 | 2 | 38 | false | We are given the following information:
- Cost of an adult ticket: $12
- Cost of a child ticket: $8
- Cost of each popcorn: $3
- Number of parents: Not specified
- Number of child: Not specified
- Number of popcorns: 2
However, the problem does not specify the number of parents or the number of children. ... |
19 | -28 | 90 | false | We are given:
- Kelly has 5 quarters and 2 dimes.
- A can of pop costs 55 cents.
We are to find:
- How many cents will Kelly have left?
### Step 1: Calculate the total amount of money Kelly has
- A quarter is 5 cents, so 5 quarters is $ 5 \times 5 = 25 $ cents.
- A dime is 1 cent, so 2 dimes is $ 2 \times 1 = 2 $ ... |
20 | 14 | 14 | true | We are given the following information:
- Leila buys 3 cucumbers, each costing $2.
- Jack buys 5 tomatoes, each costing $1.
- Chase buys 1 head of lettuce, each costing $3.
We are to find the total amount spent by the three of them to make a salad for the potluck.
### Step 1: Calculate the cost for each person
- **... |
21 | 50 | 50 | true | We are given that Gerald and Julia divided $100 in the ratio 3:2. This means:
- The total amount is $100.
- The ratio is 3:2.
### Step 1: Find the value of one part
The sum of the ratio parts is:
$$
3 + 2 = 5
$$
So, the value of one part is:
$$
\frac{100}{5} = 20
$$
### Step 2: Find how much money Gerald spent
... |
22 | 8 | 8 | true | We are given:
- Peter has 4 boxes, with the same number of chocolate bars in each box.
- Martha has 7 boxes, with the same number of chocolate bars in each box.
- Peter has a total of 64 chocolate bars.
- Martha has a total of 56 chocolate bars.
We are to find:
How many more chocolate bars does Peter have i... |
23 | 240 | 240 | true | We are given the following information:
- Billy can help **2 people per hour**.
- He works **3 hours per day**.
- Therefore, he can help **2 × 3 = 6 people per day**.
- He takes **20% of the days** between **March 1st** and **April 19th** **off**.
- He helps people on **all other days**.
- We are to find how many **pe... |
24 | 10 | 10 | true | We are given the following information:
- Aiden uses **2 tablespoons** of secret seasoning **per pound** of ground beef.
- From **each pound** of meat, he makes **16 meatballs**.
- He wants to make **80 meatballs**.
### Step 1: Determine how many pounds of meat are needed for 80 meatballs
From the problem:
$$
\frac... |
25 | 32 | 32 | true | We are given:
- A ball bounces to **2/3** of its **starting height** with **each bounce**.
- The ball is **dropped from the third-floor balcony** in the mall.
- Each **story is 24 feet high**.
- We are to find: **how high does the ball go on its second bounce**?
---
### Step 1: Determine the starting height
The bal... |
26 | 91 | 123 | false | We are given:
- A basket of green food costs $25.
- A basket of red food costs $18.
- You buy 3 baskets of green food and 1 basket of red food.
- You get $2 off for each basket of red food.
### Step 1: Calculate the cost of green food
You buy 3 baskets of green food:
$$
3 \times 25 = 75
$$
### Step 2: Calculate th... |
27 | 78 | 78 | true | We are given the following information:
- Total number of teachers at Rydell Elementary School: 82
- Number of teachers who were sick: 13
- Number of substitute teachers who were called in: 9
- Last Friday: 13 of the 82 teachers were sick
- 9 substitute teachers were called in to help
We are asked to find: ... |
28 | 30 | 90 | false | We are given the following information:
- A water tank initially contains **120 liters** of water.
- Celine used **90 liters** of water from the tank to water her small garden.
- After this, **what was left** of water in the tank is **120 − 90 = 30 liters**.
- Celine then **collected rainwater** that is **twice as muc... |
29 | 17,000 | 17,000 | true | We are given the following information:
- Mr. Josue initially had $5000 in capital.
- The first bank gave him $4000.
- The second company gave him twice as much as the first bank.
### Step 1: Determine the amount given by the second company
The second company gave him twice as much as the first bank:
$$
2 \times 40... |
30 | 9 | 9 | true | We are given:
- Liam is 16 years old now.
- Two years ago, Liam’s age was twice the age of Vince.
We are to find: How old is Vince now?
---
### Step 1: Express ages in terms of now and two years ago
- Liam's age now: 16
- Liam's age two years ago: $ 16 - 2 = 14 $
Let Vince's age now be $ x $.
Then Vince's age ... |
31 | 2 | 2 | true | We are given:
- 90 single use contacts come in 1 box and will last Pete 45 days.
- Each box is $100.00 and currently 10% off.
- Pete buys 2 boxes of contacts.
- Question: How much will each pair of contacts cost?
---
### Step 1: Find the current price of each box
Each box is $100.00 and currently 10% off.
$$
\text... |
32 | 10 | 10 | true | We are given:
- Lani baked 55 cookies.
- She ate 5 cookies.
- The rest of the cookies were placed equally into 5 jars.
### Step 1: Find the number of cookies remaining after Lani ate
$$
55 - 5 = 50
$$
### Step 2: Divide the remaining cookies equally into 5 jars
$$
50 \div 5 = 10
$$
### Final Answer:
$$
\boxed{10... |
33 | 6,400 | 6,400 | true | We are given:
- Jenna starts with 8 sapphires.
- She trades 3 sapphires for 2 rubies.
- Sapphires are worth $800.
- Rubies are worth $1200.
We are to find: How much money are all her jewels worth?
---
### Step 1: Value of sapphires Jenna starts with
Jenna starts with 8 sapphires.
$$
8 \text{ sapphires} \times 800... |
34 | 1 | 5 | false | We are given the following information:
- A puppy must be fed **1 cup of dog food per day** for the **first 180 days**.
- Then, the puppy must be fed **2 cups of dog food per day** for the **rest of its life**.
- One bag of dog food contains **110 cups**.
- We are to find: How many bags of dog food will Cecilia use in... |
35 | 62 | 62 | true | We are given:
- There are **9,300 pennies** in a cup.
- A **penny** is worth **$0.01** (1 cent).
- We are to find the **total dollar amount** in a **stack** that contains **two thirds** of the pennies in the cup.
---
### Step 1: Find two thirds of the pennies
$$
\frac{2}{3} \times 9,300
$$
$$
= \frac{2 \times 9,30... |
36 | 6.25 | 6 | false | We are given the following information:
- Solo has to read:
- 4 pages from Science
- 20 pages from Social Studies
- 7 pages from History
- 8 pages from Geography
- Solo read 15 pages on Monday.
- He has 4 more days to complete all his reading.
We are to find: how many pages does he need to read, on average,... |
37 | 5 | 5 | true | We are given the following information:
- Anna had a budget of $16.
- She had already spent $4.
- She bought 2 books today.
- Both books cost the same amount of money.
- She has $2 left in her budget.
We are to find: how much did each of the books cost?
---
### Step 1: Determine total amount spent
Anna had a budge... |
38 | 2 | 25 | false | We are given the following information:
- Each pack contains **4 razors**.
- Each pack costs **$4.00**.
- Razors are **on sale** for **buy one get one free**.
- Heather has a **$2.00 coupon**.
- We are to find: **How much does each individual razor cost, in cents, after the discount**, **if she buys 2 packs of razors*... |
39 | 60 | 54 | false | We are given:
- When the water is **cold**, Ray swims **1 mile** in **16 minutes**.
- When the water is **warm**, Ray swims **1 mile** in **2 minutes more than twice as long**.
- We are to find: How much **longer** does Ray take to swim **3 miles** on a **hot day** than on a **cold day**.
---
### Step 1: Find time t... |
40 | 110 | 110 | true | We are given a problem involving changes in the number of people on a train at different stops. We are to calculate the total number of people on the train at the final stop.
---
### Step-by-step analysis:
#### Initial information:
- Romeo boards a train with 120 people.
- At the first stop, 20 more people board.
-... |
41 | 3,160 | 3,160 | true | We are given the following:
- Tom has 4 bedrooms in his house.
- Each bedroom measures 20 by 12 feet.
- The living room is 5 times bigger than one bedroom.
- The rest of the house is 1000 square feet.
We are to find the total area of the house, in square feet.
---
### Step 1: Area of one bedroom
Each bedroom is a ... |
42 | 120 | 120 | true | We are given the following relationships:
- Arelia has $120.
- Kassidy has $ \frac{3}{4} $ times as much money as Arelia.
- Rayna has 60 more dollars than Kassidy.
We are to find the total amount of money each person has, and then determine the amount each would have if they added together their money and shared equa... |
43 | 32 | 32 | true | We are given the total costs for various items that Isabelle bought, and that she split the cost evenly three ways with her two parents.
### Step 1: Find the total cost
We add the costs of the items:
- $12 (ingredients for the cake)
- $43 (birthday presents)
- $15 (decorations)
- $4 (invitations)
- $22 (good... |
44 | 20 | 20 | true | We are given the following information:
- For every **pound** of **beeswax**, Charlie can make **10** **tapered** candles.
- One **pound** of **beeswax** and the **wicks** cost **$10.00** in supplies.
- Each candle sells for **$2.00**.
- Charlie makes and sells **20** candles.
We are to find his **net profit**.
---
... |
45 | 112 | 112 | true | We are given the following information:
- Paul drives a car **twice a day**: in the **morning** and in the **afternoon**.
- This occurs **for 14 days**.
- Each **morning** ride costs **about $6**.
- Each **afternoon** ride costs **about $2**.
We are to find: How much money did he spend on driving his car during these... |
46 | 4 | 1,596 | false | We are given:
- Aleena subscribed to a streaming service that charges her $140 per month.
- The streaming company charged her the **initial amount** for the **first half** of the year.
- The streaming company charged her **10% less money** on the **other half** of the year.
We are to calculate the **total amount** sh... |
47 | 10 | 10 | true | We are given:
- There are 40 apples in one box.
- Uncle Franky ordered two boxes of apples.
- He is planning to pack the apples with 8 apples in one pack.
We are to find:
How many packs of apples can he make with the two boxes of apples?
---
### Step 1: Find total number of apples in two boxes
Each box con... |
48 | 5 | 5 | true | We are given:
- Tom's ship travels at **10 mph** from **1 to 4 PM** (i.e., from **1 PM to 4 PM**).
- He then travels **back** at a rate of **6 mph**.
- We are to find: **How long does it take him to get back?**
---
### Step 1: Find the distance traveled from 1 to 4 PM
- Time from 1 PM to 4 PM is **3 hours**.
- Spee... |
49 | 288 | 284 | false | We are asked to find the total cost of 2 years (i.e., 24 months) of service, based on a changing price structure.
### Step 1: Understand the pricing structure
- **First 6 months**: $8 per month
- **Months 7 to 12 (6 months)**: $12 per month
- **Months 13 to 24 (12 months)**: $14 per month
### Step 2: Compute t... |
50 | 26 | 26 | true | We are given a problem involving the preparation of hot dogs for a certain number of guests, with conditions on how many hot dogs were prepared and how many guests wanted hot dogs.
Let's break it down step by step.
---
### Step 1: Understand the problem
- **Total guests**: 36
- **Most people would only eat one ho... |
51 | 448 | 448 | true | We are given:
- For one medical dosage, Saanvi had to combine:
- 14 mL of one medicine
- 3 times that amount of the second medicine
### Step 1: Find the amount of each medicine in one dosage
- First medicine: 14 mL
- Second medicine: 3 × 14 mL = 42 mL
### Step 2: Find the total amount of medicine in one dosage
... |
52 | 48 | 48 | true | We are given:
- Mia and Emma are currently 16 years apart in age.
- Mia is younger than Emma.
- Mia is 40 years old.
We are to find the **average** of their ages.
---
### Step 1: Find Emma's age
Since Mia and Emma are 16 years apart in age, and Mia is younger than Emma, we have:
$$
\text{Emma's age} = \text{Mia's... |
53 | 71 | 71 | true | We are given the following information:
- Ali had $21.
- Leila gave Ali half of her $100.
### Step 1: Calculate half of Leila's $100
$$
\frac{1}{2} \times 100 = 50
$$
### Step 2: Add this amount to Ali's original money
$$
21 + 50 = 71
$$
### Final Answer:
$$
\boxed{71}
$$
####
Ali has now $71. |
54 | 5 | 5 | true | We are given the number of male and female fishes in Tate’s garden pond before and after he buys additional fishes.
### Step 1: Count male and female fishes before purchase
- Male guppies: 4
- Female guppies: 7
- Male goldfishes: 3
- Female goldfishes: 5
Total male fishes before purchase:
$$
4 + 3 = 7
$$
... |
55 | 50 | 50 | true | We are given the following information:
- On Monday:
- Robert collects 20 shells.
- Kylie collects 5 more shells than Robert.
- On Tuesday:
- Kylie collects 2 times more shells than she did on Monday.
### Step 1: Find how many shells Kylie collects on Monday
Kylie collects 5 more shells than Robert.
$$
\text{... |
56 | 9,500 | 9,500 | true | We are given the following information:
- Mrs. Cruz's budget: $400,000
- Selling price of the property: $350,000
- Brokerage fee: 5% of the selling price
- Transfer fee: 12% of the selling price
We are to find: How much more is the total price of the house than Mrs. Cruz's budget?
---
### Step 1: Calculate ... |
57 | 18 | 18 | true | We are given:
- There are 6 girls in the park.
- There are twice the number of boys in the park.
Let the number of boys be $ b $.
Then the number of girls is 6.
The number of boys is $ b $.
The number of boys is twice the number of girls:
$$
b = 2 \times 6 = 12
$$
Now, the total number of kids in the park is:
$... |
58 | 75 | 75 | true | We are given:
- Damien finds 10 bottle caps per day.
- Each bottle cap is worth $0.25.
- The question asks how much money he makes in a 30-day month.
### Step 1: Find total number of bottle caps in 30 days
$$
10 \text{ bottle caps/day} \times 30 \text{ days} = 300 \text{ bottle caps}
$$
### Step 2: Find total value... |
59 | 87 | 87 | true | We are asked to find how many **outfits** Laurel has for her **baby**, based on the following information:
1. **Laurel's friend** gave her **24** baby outfits that her child **no longer needed**.
2. At her **baby shower**, Laurel received **twice the amount** of new baby outfits.
3. **Laurel's mom** gifted her **15** ... |
60 | 3 | 3 | true | We are given the following:
- Total number of employees: 50
- Percentage of employees who are management: 20%
- Percentage of this 20% who oversee the entire company: 30%
We are to find: How many employees oversee the company?
---
### Step 1: Find the number of management employees
$$
20\% \text{ of } 50 = 0... |
61 | 74 | 74 | true | We are given the following information:
- Martin's weight is 55 kg.
- Carl's weight is 16 kg more than Martin's weight.
- Christian's weight is 8 kg more than Carl's weight.
- Harry is 5 kg less than Christian's weight.
We are to find the weight of Harry.
---
### Step 1: Find Carl's weight
Carl's weight is 16 kg m... |
62 | 2 | 2 | true | We are given the following information:
- Melissa spends 6 hours per day for 3 days listening to a court case.
- She is paid $15 per day.
- She also pays $3 for parking each day.
- We are to find how much jury pay she makes per hour after expenses.
---
### Step 1: Total days
Melissa is summoned to jury duty for 3 d... |
63 | 17 | 17 | true | We are given:
- Four friends ordered four pizzas for a total of 64 dollars.
- Two of the pizzas cost 30 dollars.
- The other two pizzas cost the same amount.
We are to find: how much did each of the other two pizzas cost?
### Step 1: Find the total cost of the two pizzas that cost 30 dollars
The phrase "two of the ... |
64 | 18 | 18 | true | We are given the following information:
- Total number of toys needed: 400
- Number of workers: 5
- 2 workers produce 6 toys/hour
- 2 workers produce 4 toys/hour
- 1 worker produces ? toys/hour
- All workers work 10 hours
- By end of shift, 20 toys still needed to ship
- Question: How many toys per hour ... |
65 | 85 | 85 | true | We are given the following information:
- Jayden had $70 from selling pictures.
- His sister Ava gave him half of her $90 allowance.
- The camera costs $200.
We are to find how much more Jayden needs to buy the camera.
### Step 1: Find how much Ava gave Jayden
Ava had $90 allowance.
She gave Jayden half of her $9... |
66 | 8 | 8 | true | We are given that:
- The serum causes an extra **arm** every **3 days**.
- The serum causes an extra **leg** every **5 days**.
- The person drinks the serum **after 15 days**.
We are to find: how many **new limbs** will the person grow **after 15 days**.
---
### Step 1: Find how many arms are added in 15 days
The ... |
67 | 280 | 280 | true | We are given the following information:
- Jen works **7.5 hours per day**.
- Jen works **6 days per week**.
- Her **hourly rate** is **$1.0** (assumed to be $1.0, not $1.5; the problem states "her hourly rate is $1.5", but this is likely a translation or formatting error; we proceed with the information as given).
- J... |
68 | 4 | 4 | true | We are given a problem involving rates of digging and filling, and we are to determine how many weeks it takes to fill in all the holes.
### Step 1: Understand the rates
- **Dog digs 6 holes per day** (while Nate is on vacation).
- **Nate digs 9 holes per day** (when Nate is home, but dog keeps digging 6 new holes ev... |
69 | 2 | 2 | true | We are given the following information:
- Juice Box A is $4$ dollars.
- Juice Box B is $5$ dollars more than Juice Box A.
- Juice Box C is $7$ dollars more than Juice Box A.
We are asked to find how much more Juice Box C is than Juice Box B.
### Step 1: Find the price of Juice Box B
Juice Box B is $5$ dollars more ... |
70 | 6 | 6 | true | We are given:
- Bubbles has:
- 3 stuffed puppies
- 5 stuffed koalas
- 2 stuffed zebras
- 4 stuffed frogs
- She wants to buy enough **stuffed goats**, such that the **percentage of stuffed goats** is **30%** of **all** her **stuffed animals**.
---
### Step 1: Find total number of current stuffed animals
... |
71 | 4,800 | 4,800 | true | We are given the following information:
- The price of a **gold** jewel is $ \frac{4}{5} $ times the price of a **diamond** jewel.
- The cost of a **silver** jewel is $400 less than the price of a **gold** jewel.
- The price of a **diamond** jewel is $2000.
We are to find the **total price** for all three jewels.
--... |
72 | 8 | 8 | true | We are given the following information:
- For a call from a payphone:
- Before 16 minutes, the price is $0.25 per minute.
- After 16 minutes, the price is $0.20 per minute.
We are asked to find the cost of a 36-minute call.
---
### Step 1: Break the call into two parts
A 36-minute call can be broken into:
- 1... |
73 | 2 | 2 | true | We are given the following information:
- Ryan’s allowance is $6 per week.
- Ryan completes his chores for 3 weeks.
- Ryan bought ice cream cones for himself and 3 friends at $1.25 each.
- Movie tickets cost $6.50 each.
- We are to find how many movie tickets Ryan can buy.
---
### Step 1: Calculate total amount of m... |
74 | 16 | 16 | true | We are given the following information:
- Nick had twice as many candies as George.
- George ate 5 candies.
- Now George has 3 candies left.
We are to find how many candies Nick has.
### Step 1: Determine how many candies George had originally
Let $ G $ be the number of candies George had originally.
After George ... |
75 | 3 | 3 | true | We are given the following information:
- Carly makes **2 less than three times as many brownies as cupcakes**.
- **Her class has five people**.
- **Each person gets two treats**.
We are to find: **How many cupcakes did Carly make?**
---
### Step 1: Define variables
Let:
- $ c $ = number of **cupcakes** Carly mad... |
76 | 36 | 36 | true | We are given the following information:
- Jim spends 2 hours watching TV.
- Then he reads for half as long as he watches TV.
- He does this 3 times a week.
- We are to find how many hours he spends on TV and reading in 4 weeks.
### Step 1: Determine time spent on reading
- Time spent watching TV: 2 hours
- Time spen... |
77 | 50 | 150 | false | We are given the following information:
- Kenny is selling his **Pokemon cards** to **buy a ticket** to an **amusement park**, which costs **$100**.
- He has a **collection of cards** and plans to **sell them** for **$1.5** each.
- He **keeps 1/3 of them** and **gets to go to the amusement park with $50 in spending ca... |
78 | 72 | 72 | true | We are given:
- Internet connection speed: $ 20 \, \text{kb/s} $
- $ 1 \, \text{Mb} = 1000 \, \text{kb} $
- We are to find the speed in $ \text{Mb/h} $
### Step 1: Convert from kb/s to Mb/s
$$
20 \, \text{kb/s} = \frac{20}{1000} \, \text{Mb/s} = 0.02 \, \text{Mb/s}
$$
### Step 2: Convert from Mb/s to Mb/h
$$
0.02 ... |
79 | 24,500 | 245 | false | We are given:
- Anthony wants to send out:
- 700 small coupons
- Twice as many big coupons
- Cost:
- Each small coupon: 5 cents
- Each big coupon: 15 cents
### Step 1: Find the number of big coupons
Twice as many big coupons as small coupons:
$$
\text{Number of big coupons} = 2 \times 700 = 1400
$$
### Ste... |
80 | 57 | 57 | true | We are given the following information:
- Stephen placed an online order for groceries.
- His final bill (before any fees) was $40.00.
- Because this was through a delivery vendor, they **tacked on a 25% fee** to his final total.
- They **charged him $3.00 in delivery fees**.
- Stephen **added a $4.00 tip**.
We are t... |
81 | 50 | 50 | true | We are given the following information:
- Lucy sells apples at $4 per piece.
- On Monday, she sold all the apples picked.
- On Tuesday, she picked 12 apples.
- On Wednesday, she picked double the number of apples she did the previous day.
- Lucy got $56 from selling apples picked on Monday.
We are to find: how many a... |
82 | 300 | 300 | true | We are given:
- Tim grows 5 trees.
- Each year, he collects 6 lemons from each tree.
- We are to find how many lemons he collects in a decade (10 years).
### Step 1: Lemons per year
From each tree, he collects 6 lemons.
There are 5 trees.
So, lemons per year = $ 5 \times 6 = 30 $
### Step 2: Lemons in a decade
A... |
83 | 91 | 91 | true | We are given the following information:
- Tom plants 10 trees per year.
- Tom chops down 2 trees per year.
- He starts with 50 trees.
- After 10 years, 30% of the trees die.
We are to find: How many trees does he have left?
---
### Step 1: Net change in trees per year
Tom plants 10 trees, chops down 2 trees.
So, ... |
84 | 0 | 8 | false | We are given:
- A candle melts at a rate of **2 centimeters per hour**.
- The candle burns from **1:00 PM to 5:00 PM**.
### Step 1: Find the time interval
The time from **1:00 PM to 5:00 PM** is:
$$
5:00 - 1:00 = 4 \text{ hours}
$$
### Step 2: Find the total length melted
The candle melts at a rate of **2 cm per ... |
85 | 60 | 60 | true | We are given the following information:
- James reads 3 pages of his book in 10 minutes.
- James reads 18 pages of his book and then decides to go to sleep.
We are asked to find how long James spends reading, in minutes.
### Step 1: Determine the reading rate
From the information:
- James reads 3 pages in 10 minut... |
86 | 240 | 48 | false | We are given:
- A bag of chips has 250 calories per serving.
- A 300g bag has 5 servings.
- Daily calorie target is 2000.
- You have already consumed 1800 calories.
### Step 1: Find calories per gram of chips
A 300g bag has 5 servings.
So, calories per gram = $ \frac{250 \text{ calories}}{5 \text{ servings}} = 50 \... |
87 | 12 | 12 | true | We are given a problem involving the distribution of 36 penguins based on actions:
- **Total penguins**: 36
- **One-third** of them jump in and swim in the ocean.
- **Another one-third** go inside the cave to eat their dinner.
- We are to find: **How many penguins are still left sunbathing?**
---
### Step 1: C... |
88 | 60,000 | 60,000 | true | We are given the following information:
- The number of songs in a playlist is 300.
- John has 20 such playlists.
- Each song is 10 hours long.
We are to find: the total number of hours that the 20 playlists will last.
---
### Step 1: Find the total number of songs in 20 playlists
Each playlist has 300 songs, and ... |
89 | 70 | 70 | true | We are given:
- Time to finish 1 crossword puzzle: 10 minutes
- Time to finish 1 sudoku puzzle: 5 minutes
- Number of crossword puzzles solved: 3
- Number of sudoku puzzles solved: 8
We are to find: Total time spent playing these games.
---
### Step 1: Calculate total time for crossword puzzles
$$
3 \text{... |
90 | 180 | 180 | true | We are given the following information:
- Mark weighs 150 pounds.
- Susan weighs 20 pounds less than Mark.
- Bob weighs twice as much as Susan.
- We are to find the average weight of the 3 friends.
### Step 1: Find Susan's weight
Susan weighs 20 pounds less than Mark:
$$
\text{Susan} = 150 - 20 = 130 \text{ pounds}... |
91 | 8,400 | 8,400 | true | We are asked to compare the **net pay** (i.e., **total income minus taxes**) of two jobs, and to find how much **more money** Nick will make at the job with the **higher net pay rate**, compared to the other job.
### Step 1: Define net pay
**Net pay** is the total income minus taxes.
### Step 2: Compute net pay for ... |
92 | 4 | 4 | true | We are given:
- To ride the roller coaster, a person must be **4 feet tall**.
- Adam’s **height is 40 inches**.
- Adam **grows 2 inches per year**.
### Step 1: Convert units
We need to express **4 feet** in **inches**:
$$
4 \text{ feet} = 4 \times 12 = 48 \text{ inches}
$$
### Step 2: Determine how much Adam must ... |
93 | 4 | 4 | true | We are given:
- Robert had 3 pounds of candy
- Cindy had 5 pounds of candy
- Aaron had 4 pounds of candy
After Halloween, they **pooled** their candy and **shared** it **equally**.
### Step 1: Find the total amount of candy
$$
3 + 5 + 4 = 12 \text{ pounds}
$$
### Step 2: Share the total equally among the 3 p... |
94 | 6 | 6 | true | We are given the following information:
- John drinks a bottle of water every **half hour**.
- A **normal** Sudoku puzzle takes **45 minutes**.
- An **extreme** Sudoku puzzle takes **4 times** that long.
We are to find: How many **bottles of water** does John drink in **that time**?
---
### Step 1: Interpret "that ... |
95 | 132 | 132 | true | We are asked to find the total cost of Charlotte's order after a 20% discount.
### Step 1: Find the original total cost
Charlotte wanted:
- A set of pot and pans for $120.00
- A set of mixing bowls for $20.00
- 5 separate utensils at $5.00 each
We calculate the total original cost:
$$
120.00 + 20.00 + (5.00 \t... |
96 | 500 | 500 | true | We are given a problem involving a series of bids in an auction. Let's break it down step by step.
### Key information:
- **Opening bid**: $200
- **Bids rise by $50 each time**
- **3 other people** each bid once
- **Carmen** bids after each of the 3 other people
- **Carmen** eventually **wins**
### Step 1: Understan... |
97 | 44 | 44 | true | We are asked to find the total cost of everything Roger bought.
### Step 1: Understand the problem
- **Normal brand of coffee** costs **$5 per pound**.
- **More expensive brand** costs **20% more** than **normal brand**.
- **He had to buy** this **more expensive brand** because **favorite brand was sold out**.
- **He... |
98 | 3 | 4 | false | We are given the following information:
- Initially, the company has:
- 4 vanilla scents
- 8 fruity scents
- By the end of the day, they sell:
- 5 of each of the vanilla scents
- 2 of each of the fruity scents
We are to find how many more vanilla scents sold compared with the fruity scents.
### Step 1: Inte... |
99 | 4 | 4 | true | We are given:
- Matthew takes **3 minutes** to dig a **small hole** for shrubs.
- Matthew takes **10 minutes** to dig a **large hole** for trees.
- We are to find how many **hours** it will take him to dig:
- **30 small holes**
- **15 large holes**
---
### Step 1: Calculate time for small holes
- 30 small hole... |
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