difficulty float64 1 5.25 | do_not_train bool 1
class | family stringclasses 2
values | function_graph dict | id stringlengths 26 49 | source stringclasses 9
values | split stringclasses 1
value | text stringlengths 11 950 |
|---|---|---|---|---|---|---|---|
3 | true | medium | {
"edges": [
{
"check_method": "Call ratio_share(4800, 4, [2, 4, 6]) and use its returned share.",
"relation_type": "uses_value",
"severity": "required",
"source": "ratio_share",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"id... | medium_allenai_math_qa_04fbb591c15a715d | allenai/math_qa | test | share rs . 4800 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ? |
3 | true | medium | {
"edges": [
{
"check_method": "Use the required passing-mark quantity as the numerator component of the percentage equation.",
"relation_type": "implements_formula",
"severity": "required",
"source": "pass_mark",
"target": "maximum_marks"
},
{
"check_method": "Evaluate... | medium_allenai_math_qa_05b3406ff8be611a | allenai/math_qa | test | ravish has to secure 40 % marks to clear his board exam of class 10 th . he got 40 marks and failed by 40 marks . what is the maximum marks ? |
3 | true | medium | {
"edges": [
{
"check_method": "Use the sequential-discount function with the stated price and percentages, retaining its currency-formatted result.",
"relation_type": "uses_value",
"severity": "critical",
"source": "sale_price",
"target": "main"
}
],
"nodes": [
{
"... | medium_allenai_math_qa_0bf8fde0705e8bfc | allenai/math_qa | test | a discount electronics store normally sells all merchandise at a discount of 2 percent to 50 percent off the suggested retail price . if , during a special sale , an additional 20 percent were to be deducted from the discount price , what would be the lowest possible price of an item costing $ 100 before any discount ? |
3 | true | medium | {
"edges": [
{
"check_method": "Call vacant_seats(700, 75) and use its returned vacant-seat count.",
"relation_type": "uses_value",
"severity": "required",
"source": "vacant",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"id": ... | medium_allenai_math_qa_0db6e6534a1a5f74 | allenai/math_qa | test | in a public show 75 % of the seats were filled . if there were 700 seats in the hall , how many seats were vacant ? |
3 | true | medium | {
"edges": [
{
"check_method": "Call compute_cost_price(6, 15) and report its result.",
"relation_type": "uses_value",
"severity": "required",
"source": "compute_cost_price",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"id": "... | medium_allenai_math_qa_0e0a09f36b49bf3f | allenai/math_qa | test | if a book is sold at 6 % profit instead of 6 % loss , it would have brought rs 15 more . find out the cost price of the book |
3 | true | medium | {
"edges": [
{
"check_method": "evaluate downstream_time_seconds(15, 3, 100)",
"relation_type": "uses_value",
"severity": "required",
"source": "calc_time",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"id": "calc_time",
... | medium_allenai_math_qa_0e6b803bf353db0e | allenai/math_qa | test | the speed at which a man can row a boat in still water is 15 km / hr . if he rows downstream , where the speed of current is 3 km / hr , how many seconds will he take to cover 100 meters ? |
5 | true | medium | {
"edges": [
{
"check_method": "Call weighted_average(90, 0.7, 65, 85) and format its result as a percentage.",
"relation_type": "uses_value",
"severity": "required",
"source": "weighted_average",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_fu... | medium_allenai_math_qa_0ee5495273580b80 | allenai/math_qa | test | in a certain accounting class of 90 students , 70 % of the students took the final exam on the assigned day while the rest of the students took the exam on a make - up date . if the students on the assigned day had an average score of 65 % , and the students on the make - up date had an average score of 85 % , what was... |
5 | true | medium | {
"edges": [
{
"check_method": "use the fractional part of the quotient as r/j",
"relation_type": "uses_value",
"severity": "required",
"source": "fractional_quotient",
"target": "solve_divisor"
},
{
"check_method": "evaluate solve_divisor(14, 134.08)",
"relation_... | medium_allenai_math_qa_0f39d65101c20f28 | allenai/math_qa | test | when positive integer n is divided by positive integer j , the remainder is 14 . if n / j = 134.08 , what is value of j ? |
3 | true | medium | {
"edges": [
{
"check_method": "Call compute_duration(30, 30, 2) and use its formatted duration.",
"relation_type": "uses_value",
"severity": "required",
"source": "compute_duration",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
... | medium_allenai_math_qa_0ffe757b17220749 | allenai/math_qa | test | a can do a job in 30 days and b can do it in 30 days . a and b working together will finish twice the amount of work in - - - - - - - days ? |
2 | true | medium | {
"edges": [
{
"check_method": "Use the exhaustive maximum-producing center returned by find_best_center(1, 20).",
"relation_type": "uses_value",
"severity": "high",
"source": "compute_best",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_functio... | medium_allenai_math_qa_12413dab89532a6b | allenai/math_qa | test | two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line . for instance , 3 and 7 rhyme around 5 . what integer w between 1 and 20 , inclusive , has the greatest number of distinct rhyming primes around it ? |
5 | true | medium | {
"edges": [
{
"check_method": "pass the remaining weight fraction as retained_fraction",
"relation_type": "uses_value",
"severity": "required",
"source": "retained_fraction",
"target": "compute"
},
{
"check_method": "evaluate price_increase_percent(0.75, 2)",
"re... | medium_allenai_math_qa_13134cb4962ac597 | allenai/math_qa | test | a certain candy manufacturer reduced the weight of candy bar m by 25 percent buy left the price unchanged . what was the resulting percent increase in the price per ounce of candy bar m ? |
5 | true | medium | {
"edges": [
{
"check_method": "Evaluate combined_time_seconds(3, 3, 2) and express the returned seconds value with its unit.",
"relation_type": "uses_value",
"severity": "required",
"source": "combine",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "py... | medium_allenai_math_qa_1365704ba78c6f30 | allenai/math_qa | test | one machine takes 3 minutes to check fault in 100 km fiber optic cable . another machine does the same job in 3 seconds . what time will it take to do the same job when both machines are put to work ? |
3 | true | medium | {
"edges": [
{
"check_method": "Call total_mixture(10, 3, 2, 2, 3) and report its value.",
"relation_type": "uses_value",
"severity": "required",
"source": "capacity",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"id": "capacit... | medium_allenai_math_qa_17066b2111bb885d | allenai/math_qa | test | the ratio of petrol and kerosene in the container is 3 : 2 when 10 liters of the mixture is taken out and is replaced by the kerosene , the ratio become 2 : 3 . then total quantity of the mixture in the container is : |
5 | true | medium | {
"edges": [
{
"check_method": "call maximum_range with the stated average, day count, and minimum",
"relation_type": "uses_value",
"severity": "required",
"source": "range_fn",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"id"... | medium_allenai_math_qa_1863c3ef97a313ca | allenai/math_qa | test | the average of temperatures at noontime from monday to friday is 50 ; the lowest one is 45 , what is the possible maximum range of the temperatures ? |
3 | true | medium | {
"edges": [
{
"check_method": "pass computed downhill rate as downhill_rate",
"relation_type": "uses_value",
"severity": "required",
"source": "rate",
"target": "distance"
},
{
"check_method": "use returned distance as final route length",
"relation_type": "aggre... | medium_allenai_math_qa_18a3a3a4097dbf6b | allenai/math_qa | test | a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route . they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up , but the time each route will take is the same . if they will go up the mountain at a r... |
3 | true | medium | {
"edges": [
{
"check_method": "Evaluate the function at a=7, the compatible units-digit residue.",
"relation_type": "uses_value",
"severity": "required",
"source": "compute_shifted_unit_digit",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_func... | medium_allenai_math_qa_18a7cd7e378f5a60 | allenai/math_qa | test | if a is a positive integer , and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4 , what is the units z digit of ( a + 2 ) ^ 2 ? |
4 | true | medium | {
"edges": [
{
"check_method": "Evaluate profit_ratio(45000, 12, 30000, 7) and use its simplified ratio.",
"relation_type": "uses_value",
"severity": "high",
"source": "ratio",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"id":... | medium_allenai_math_qa_18ac6c8880013d7f | allenai/math_qa | test | x starts a business with rs . 45000 . y joins in the business after 5 months with rs . 30000 . what will be the ratio in which they should share the profit at the end of the year ? |
2 | true | medium | {
"edges": [
{
"check_method": "Pass the solved number of additional dozens to the total-count function.",
"relation_type": "uses_value",
"severity": "required",
"source": "dozens",
"target": "total"
},
{
"check_method": "Use the function result as the final total numbe... | medium_allenai_math_qa_1f25302381de96cc | allenai/math_qa | test | the first doughnut is priced at $ 1 and then if you purchase additional doughnuts as dozens then the price is $ 6 / dozen . what is the total number of doughnut purchased if you paid $ 19 ? |
4 | true | medium | {
"edges": [
{
"check_method": "The admissible-number digit-position constraints define the enumeration domain.",
"relation_type": "implements_formula",
"severity": "major",
"source": "n1",
"target": "n2"
},
{
"check_method": "Evaluate multiple_of_three_probability((9, ... | medium_allenai_math_qa_1fd29298c1545994 | allenai/math_qa | test | if a computer program generates 3 - digit odd numbers using the numbers 9 , 7 , 0 , 8 , and 1 , and the digits can be repeated , what is the probability that the number formed from the program is a multiple of 3 ? |
5 | true | medium | {
"edges": [
{
"check_method": "compare repeated-factor formula",
"relation_type": "implements_formula",
"severity": "major",
"source": "model",
"target": "value"
},
{
"check_method": "evaluate scooter_value(40000, 3, 4, 6)",
"relation_type": "aggregates_result",
... | medium_allenai_math_qa_1ff2a6531d7d0317 | allenai/math_qa | test | the value of a scooter depreciates in such a way that its value of the end of each year is 3 / 4 of its value of the beginning of the same year . if the initial value of the scooter is rs . 40,000 , what is the value at the end of 6 years ? |
3 | true | medium | {
"edges": [
{
"check_method": "Evaluate solve_total(150, 3, 4).",
"relation_type": "uses_value",
"severity": "high",
"source": "solve_total",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"id": "solve_total",
"name": "sol... | medium_allenai_math_qa_22ca98801f05de35 | allenai/math_qa | test | the visitors of a modern art museum who watched a certain picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it . according to the results of the survey , all 150 visitors who did not enjoy the painting also d... |
3 | true | medium | {
"edges": [
{
"check_method": "Call simple_interest_balance(54, 5, 1) and use its formatted balance.",
"relation_type": "uses_value",
"severity": "required",
"source": "calculate_balance",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function"... | medium_allenai_math_qa_263a7325c30d4283 | allenai/math_qa | test | cara took out a charge account at the general store and agreed to pay 5 % simple annual interest . if she charges $ 54 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ? |
3 | true | medium | {
"edges": [
{
"check_method": "evaluate rate_from_fraction(1/5, 10) and format the resulting percentage",
"relation_type": "uses_value",
"severity": "required",
"source": "rate",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"i... | medium_allenai_math_qa_26f51d99c3022e36 | allenai/math_qa | test | at what rate percent per annum will the simple interest on a sum of money be 1 / 5 of the amount in 10 years ? |
2 | true | medium | {
"edges": [
{
"check_method": "Apply the derived smaller-tray expression.",
"relation_type": "implements_formula",
"severity": "required",
"source": "derive",
"target": "solve"
},
{
"check_method": "Evaluate solve_second_tray(500, 20).",
"relation_type": "uses_va... | medium_allenai_math_qa_274dc5075aeb1760 | allenai/math_qa | test | one pack of cake mix is being stirred before being poured into two separate baking trays . the first tray can hold a certain amount of cups of the mix while the other holds 20 cups less than the first . if the total number of cups poured is 500 , how many cups of batter does the second tray hold ? |
3 | true | medium | {
"edges": [
{
"check_method": "pass the identified red and blue counts as r and b",
"relation_type": "uses_value",
"severity": "required",
"source": "counts",
"target": "arrangements"
},
{
"check_method": "evaluate the counting function at the problem counts",
"r... | medium_allenai_math_qa_29b8888091afa090 | allenai/math_qa | test | there are 3 red chips and 2 blue ones . when arranged in a row , they form a certain color pattern , for example rbrrb . how many color patterns ? |
2 | true | medium | {
"edges": [
{
"check_method": "Use the initial alcohol amount as the starting concentration represented by initial_volume and initial_percent.",
"relation_type": "implements_formula",
"severity": "major",
"source": "initial_alcohol",
"target": "solve_addition"
},
{
"ch... | medium_allenai_math_qa_2ba78a03a88e48aa | allenai/math_qa | test | how many liters of pure alcohol must be added to a 100 - liter solution that is 20 percent alcohol in order to produce a solution that is 24 percent alcohol ? |
3 | true | medium | {
"edges": [
{
"check_method": "Call compute_crossing_time(110.0, 170.0, 60.0) and express its result in seconds.",
"relation_type": "uses_value",
"severity": "required",
"source": "compute_time",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_fu... | medium_allenai_math_qa_2ee79994d16be720 | allenai/math_qa | test | how long does a train 110 m long travelling at 60 kmph takes to cross a bridge of 170 m in length ? |
2 | true | medium | {
"edges": [
{
"check_method": "Evaluate the radius function at the stated perimeter and pi value.",
"relation_type": "uses_value",
"severity": "required",
"source": "radius_fn",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"id... | medium_allenai_math_qa_30fb6d0568d39729 | allenai/math_qa | test | the perimeter of a semi circle is 216 cm then the radius is ? |
5 | true | medium | {
"edges": [
{
"check_method": "Use calculate_loss_percentage(10, 25) and label its positive result as a loss.",
"relation_type": "uses_value",
"severity": "required",
"source": "loss_percent",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_funct... | medium_allenai_math_qa_36bdca259133d825 | allenai/math_qa | test | if the cost price of 10 articles is same as the selling price of 25 articles . find the gain or loss percentage ? |
3 | true | medium | {
"edges": [
{
"check_method": "june_as_percent_of_mean(0.25, 25.0)",
"relation_type": "uses_value",
"severity": "required",
"source": "calc",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"id": "calc",
"name": "june_as_pe... | medium_allenai_math_qa_3ab16b4eeb4b5737 | allenai/math_qa | test | if the price of a certain bond on may 1 st was 1 / 4 the price of the bond on june 1 st and the price of the bond on july 1 st was 25 % greater than the price of the bond on may 1 st . then the price of the bond on june 1 st st was what percent of the average ( arithmetic mean ) price of the bond on may 1 st and july 1... |
3 | true | medium | {
"edges": [
{
"check_method": "Call area_ratio(2, 5) and express its returned fraction as the requested area ratio.",
"relation_type": "uses_value",
"severity": "required",
"source": "scale_area",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_f... | medium_allenai_math_qa_3bfc4d4e3a0f5bec | allenai/math_qa | test | rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 2 / 5 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ? |
2 | true | medium | {
"edges": [
{
"check_method": "call arrangements_with_jason_on_aisle(5) and report its count",
"relation_type": "uses_value",
"severity": "required",
"source": "aisle_arrangements",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
... | medium_allenai_math_qa_3f21c120d592c88a | allenai/math_qa | test | how many e ways can jason sit with his 5 friends in a row of 6 seats with an aisle on either side of the row , if jason insists on sitting next to one of the aisles ? |
3 | true | medium | {
"edges": [
{
"check_method": "use Bag A coefficients red=2 and white=6, and Bag B white=4",
"relation_type": "implements_formula",
"severity": "required",
"source": "ratio_model",
"target": "compute_red"
},
{
"check_method": "use the computed Bag A red-marble count",
... | medium_allenai_math_qa_4574c53ad1242296 | allenai/math_qa | test | bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 60 white marbles . how many red marbles could be in bag a ? |
2 | true | medium | {
"edges": [
{
"check_method": "pass exponent tuple as function input",
"relation_type": "uses_value",
"severity": "required",
"source": "exponents",
"target": "divisor_count"
},
{
"check_method": "evaluate the divisor-count function on the extracted exponents",
"... | medium_allenai_math_qa_458e3e00b7527b1a | allenai/math_qa | test | x , y , and z are different prime numbers . the product x ^ 3 * y ^ 2 * z ^ 1 is divisible by how many different positive numbers ? |
4 | true | medium | {
"edges": [
{
"check_method": "use k = x_known * y_known^2",
"relation_type": "implements_formula",
"severity": "required",
"source": "formula",
"target": "calculate"
},
{
"check_method": "evaluate compute_inverse_square_value(1, 2, 6)",
"relation_type": "aggrega... | medium_allenai_math_qa_46e9f48d899df631 | allenai/math_qa | test | x varies inversely as square of y . given that y = 2 for x = 1 . the value of x for y = 6 will be equal to : |
4 | true | medium | {
"edges": [
{
"check_method": "Pass the extracted red and green counts as the function arguments.",
"relation_type": "uses_value",
"severity": "required",
"source": "counts",
"target": "probability"
},
{
"check_method": "Format the exact returned probability as the fin... | medium_allenai_math_qa_490a47fc99d15498 | allenai/math_qa | test | a bag holds 4 red marbles and 5 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be red ? |
4 | true | medium | {
"edges": [
{
"check_method": "Pass the summed hourly rate as the production-rate input.",
"relation_type": "uses_value",
"severity": "required",
"source": "combined_rate",
"target": "compute_minutes"
},
{
"check_method": "Use the computed elapsed minutes as the final ... | medium_allenai_math_qa_4aa18e09061e83cc | allenai/math_qa | test | a metal company ' s old machine makes bolts at a constant rate of 100 bolts per hour . the company ' s new machine makes bolts at a constant rate of 150 bolts per hour . if both machines start at the same time and continue making bolts simultaneously , how many minutes will it take the two machines to make a total of 3... |
3 | true | medium | {
"edges": [
{
"check_method": "Call evaporation_volume(50.0, 2.0, 10.0) and use its result as the evaporated volume.",
"relation_type": "uses_value",
"severity": "high",
"source": "evaporation_volume",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "pyt... | medium_allenai_math_qa_4d96521198fb5372 | allenai/math_qa | test | how many liters of water must be evaporated from 50 liters of a 2 - percent sugar solution to get a 10 - percent solution ? |
5 | true | medium | {
"edges": [
{
"check_method": "Apply divisor = remainder / fractional_part.",
"relation_type": "implements_formula",
"severity": "required",
"source": "equation",
"target": "divisor_function"
},
{
"check_method": "Evaluate divisor_from_remainder(16, '0.04').",
"r... | medium_allenai_math_qa_51b36a16274f3480 | allenai/math_qa | test | when positive integer n is divided by positive integer j , the remainder is 16 . if n / j = 204.04 , what is value of j ? |
2 | true | medium | {
"edges": [
{
"check_method": "Evaluate matching_probability(12) and express its Fraction result as a probability.",
"relation_type": "uses_value",
"severity": "required",
"source": "matching_probability",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": ... | medium_allenai_math_qa_5f03dfee11130fce | allenai/math_qa | test | a box contains 12 pairs of shoes ( 24 shoes in total ) . if two shoes are selected at random , what it is the probability that they are matching shoes ? |
4 | true | medium | {
"edges": [
{
"check_method": "Call passing_time_seconds(165.0, 60.0, 6.0) and report its value.",
"relation_type": "uses_value",
"severity": "required",
"source": "relative_passing_time",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function"... | medium_allenai_math_qa_65c8e59517f13a13 | allenai/math_qa | test | a train 165 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ? |
2 | true | medium | {
"edges": [
{
"check_method": "The decomposition motivates checking whether total-m*m is a perfect square.",
"relation_type": "implements_formula",
"severity": "major",
"source": "square_decomposition",
"target": "count_points"
},
{
"check_method": "Evaluate the counti... | medium_allenai_math_qa_67c56f7458e81d08 | allenai/math_qa | test | point ( m , n ) is on the circle represented by m ^ 2 + n ^ 2 = 10 , and m , n are integers . how many such points are possible ? |
2 | true | medium | {
"edges": [
{
"check_method": "The function encodes the isolated-root expression followed by squaring.",
"relation_type": "implements_formula",
"severity": "required",
"source": "derive",
"target": "solve"
},
{
"check_method": "Evaluate solve_radicand with divisor 19 a... | medium_allenai_math_qa_67e7e4b09468cfc7 | allenai/math_qa | test | find √ ? / 19 = 4 ? |
3 | true | medium | {
"edges": [
{
"check_method": "Call aligned_tile_count(120, 150, 50, 40) and use its integer result.",
"relation_type": "uses_value",
"severity": "required",
"source": "aligned_tile_count",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function... | medium_allenai_math_qa_684afa38e5673a29 | allenai/math_qa | test | rectangular tile each of size 50 cm by 40 cm must be laid horizontally on a rectangular floor of size 120 cm by 150 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of f... |
4 | true | medium | {
"edges": [
{
"check_method": "Evaluate speed_from_symmetric_separation(130, 37, 6, 11) and report its value.",
"relation_type": "uses_value",
"severity": "required",
"source": "relative_speed_answer",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "pyt... | medium_allenai_math_qa_6c347c3fa7c0683c | allenai/math_qa | test | glen and hannah drive at constant speeds toward each other on a highway . glen drives at a constant speed of 37 km per hour . at a certain time they pass by each other , and then keep driving away from each other , maintaining their constant speeds . if glen is 130 km away from hannah at 6 am , and also 130 km away fro... |
4 | true | medium | {
"edges": [
{
"check_method": "substitute reciprocal-time expression",
"relation_type": "implements_formula",
"severity": "major",
"source": "rate_relation",
"target": "emptying_time"
},
{
"check_method": "evaluate emptying_time(180, 60)",
"relation_type": "uses_... | medium_allenai_math_qa_7597d138e32baa5f | allenai/math_qa | test | pipe a can fill a tank in 60 min . there is a second pipe in the bottom of the cistern to empty it . if all the two pipes are simultaneously opened , then the cistern is full in 180 min . in how much time , the second pipe alone can empty the cistern ? |
3 | true | medium | {
"edges": [
{
"check_method": "Evaluate total_distance on the two driving-leg rates and durations, then express the resulting distance in miles.",
"relation_type": "uses_value",
"severity": "required",
"source": "distance",
"target": "main"
}
],
"nodes": [
{
"expec... | medium_allenai_math_qa_785b078b7a9369f9 | allenai/math_qa | test | john left home and drove at the rate of 45 mph for 2 hours . he stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination . how many miles did john drive ? |
5 | true | medium | {
"edges": [
{
"check_method": "pass the reported total into the correction calculation",
"relation_type": "uses_value",
"severity": "required",
"source": "original_sum",
"target": "corrected_mean"
},
{
"check_method": "evaluate corrected_mean(720.0, 20, 40.0, 25.0)",
... | medium_allenai_math_qa_7ec32bb1934596c7 | allenai/math_qa | test | the mean of 20 observations was 36 . it was found later that an observation 25 was wrongly taken as 40 . the corrected new mean is |
5 | true | medium | {
"edges": [
{
"check_method": "Pass the known expenditure as known_cost.",
"relation_type": "uses_value",
"severity": "required",
"source": "known_cost",
"target": "unknown_cost"
},
{
"check_method": "Use the computed remaining cost to select and format the answer.",
... | medium_allenai_math_qa_7f2ddc9e76d67d3c | allenai/math_qa | test | a man purchased 3 blankets @ rs . 100 each , 6 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ? |
3 | true | medium | {
"edges": [
{
"check_method": "Call downstream_time(190, 300, 42) and express its result in seconds.",
"relation_type": "uses_value",
"severity": "required",
"source": "downstream_time",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
... | medium_allenai_math_qa_83fbc3bdc4f6b70c | allenai/math_qa | test | the speed at which a woman can row a boat in still water is 300 kmph . if he rows downstream , where the speed of current is 42 kmph , what time will he take to cover 190 metres ? |
3 | true | medium | {
"edges": [
{
"check_method": "Call compute_neither_probability(0.25, 0.35, 0.15) and use its result as the requested probability.",
"relation_type": "uses_value",
"severity": "required",
"source": "compute_neither",
"target": "main"
}
],
"nodes": [
{
"expected_out... | medium_allenai_math_qa_86258765ff7848eb | allenai/math_qa | test | the probability of two events a and b are 0.25 and 0.35 respectively . the probability that both a and b occur is 0.15 . the probability that neither a nor b occur is _________ |
3 | true | medium | {
"edges": [
{
"check_method": "Use conditional_quotient(11, 15, 4, 15) and format its reduced fraction.",
"relation_type": "uses_value",
"severity": "high",
"source": "quotient",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"i... | medium_allenai_math_qa_86ebc94044dc8e6a | allenai/math_qa | test | if p ( a ) = 2 / 15 , p ( b ) = 4 / 15 , and p ( a â ˆ ª b ) = 11 / 15 find p ( a | b ) |
4 | true | medium | {
"edges": [
{
"check_method": "Rearrange the stated equation to isolate the principal.",
"relation_type": "implements_formula",
"severity": "required",
"source": "equation",
"target": "compute_principal"
},
{
"check_method": "Evaluate principal_from_interest_shortfall(... | medium_allenai_math_qa_8a44056c4643c037 | allenai/math_qa | test | what was the principal , if at 12 % per annum the interest after 3 years amounted to rs . 5888 less than the sum lent ? |
5 | true | medium | {
"edges": [
{
"check_method": "Use the equal-time course length returned by compute_length(4, 75).",
"relation_type": "uses_value",
"severity": "required",
"source": "compute_length",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
... | medium_allenai_math_qa_8bd57f8a3082cfdf | allenai/math_qa | test | a can run 4 times as fast as b and gives b a start of 75 m . how long should the race course be so that a and b might reach in the same time ? |
5 | true | medium | {
"edges": [
{
"check_method": "pass the exact one-year multiplier as the annual_multiplier argument",
"relation_type": "uses_value",
"severity": "required",
"source": "multiplier",
"target": "interest_function"
},
{
"check_method": "evaluate the interest function at th... | medium_allenai_math_qa_8e933fc5dd3bd082 | allenai/math_qa | test | what is the compound interest paid on a sum of rs . 3500 for the period of 2 years at 10 % per annum . |
3 | true | medium | {
"edges": [
{
"check_method": "Call decimal_to_vulgar_fraction('0.4') and use its reduced fraction result.",
"relation_type": "uses_value",
"severity": "high",
"source": "convert",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
... | medium_allenai_math_qa_91ff04e712ba4faf | allenai/math_qa | test | what will be the vulgar fraction of 0.4 |
4 | true | medium | {
"edges": [
{
"check_method": "Use the total fencing length as the rectangle perimeter.",
"relation_type": "uses_value",
"severity": "required",
"source": "perimeter",
"target": "length"
},
{
"check_method": "Use the executable total-fencing-length result in the final ... | medium_allenai_math_qa_930b6e98eb98c89c | allenai/math_qa | test | the length of a rectangular plot is 20 metres more than its breadth . if the cost of fencing the plot @ rs . 26.50 per metre is rs . 5300 , what is the length of the plot in metres ? |
2 | true | medium | {
"edges": [
{
"check_method": "substitute the weighted-average relation into the box-count difference",
"relation_type": "implements_formula",
"severity": "high",
"source": "relation",
"target": "compute_total"
},
{
"check_method": "evaluate total_glasses_from_average(... | medium_allenai_math_qa_9554bb5d20b7db04 | allenai/math_qa | test | at a restaurant , glasses are stored in two different - sized boxes . one box contains 12 glasses , and the other contains 16 glasses . if the average number of glasses per box is 15 , and there are 16 more of the larger boxes , what is the total number of glasses r at the restaurant ? ( assume that all boxes are fille... |
3 | true | medium | {
"edges": [
{
"check_method": "Call coprime_lcm_extreme_sum_total(20, 1) and use its returned total.",
"relation_type": "uses_value",
"severity": "required",
"source": "compute_extreme_sum_total",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_f... | medium_allenai_math_qa_968a3a9e734ffc6b | allenai/math_qa | test | a ' and ' b ' are positive integers such that their lcm is 20 and their hcf is 1 . what is the addition of the maximum and minimum possible values of ' a + b ' ? |
2 | true | medium | {
"edges": [
{
"check_method": "evaluate true_discount_from_bankers_gain(6.6, 12, 1) and format the rupee result",
"relation_type": "uses_value",
"severity": "high",
"source": "compute_discount",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_fun... | medium_allenai_math_qa_974e76e8e98d1805 | allenai/math_qa | test | the banker ' s gain on a bill due due 1 year hence at 12 % per annum is rs . 6.6 . the true discount is |
3 | true | medium | {
"edges": [
{
"check_method": "evaluate nurse_count(380, 8, 11)",
"relation_type": "uses_value",
"severity": "required",
"source": "nurse_count",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"id": "nurse_count",
"name": ... | medium_allenai_math_qa_97760b68f339c259 | allenai/math_qa | test | there are 380 doctors and nurses in a hospital . if the ratio of the doctors to the nurses is 8 : 11 , then how many nurses are there in the hospital ? |
3 | true | medium | {
"edges": [
{
"check_method": "Evaluate downstream_distance(20.0, 5.0, 24.0) and present its distance result.",
"relation_type": "uses_value",
"severity": "required",
"source": "distance",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function"... | medium_allenai_math_qa_98e78974966d59b0 | allenai/math_qa | test | the speed of a boat in still water in 20 km / hr and the rate of current is 5 km / hr . the distance travelled downstream in 24 minutes is : |
3 | true | medium | {
"edges": [
{
"check_method": "substitute duck_length/hen_length = hen_leaps_equal/duck_leaps_equal",
"relation_type": "uses_value",
"severity": "high",
"source": "relation",
"target": "speed_ratio"
},
{
"check_method": "evaluate the function using the stated leap coun... | medium_allenai_math_qa_9a4706cbafbd6bd8 | allenai/math_qa | test | a hen leaps 6 leaps for every 8 leaps of a duck , but 4 leaps of the duck are equal to 3 leaps of the hen . what is the ratio of the speed of the hen to that of the duck ? |
2 | true | medium | {
"edges": [
{
"check_method": "Evaluate speed_kmph(6, 0.6) and use its returned kilometers-per-hour value.",
"relation_type": "uses_value",
"severity": "required",
"source": "convert_speed",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_functio... | medium_allenai_math_qa_9a84e7bdf6c38c23 | allenai/math_qa | test | mike and his friend are going on a road trip and hoping to miss traffic . if they are driving at a rate of 6 miles per minute , what is their speed in kilometers per hour ? [ 1 km = 0.6 miles ] |
3 | true | medium | {
"edges": [
{
"check_method": "Use the three set-membership conditions and their union.",
"relation_type": "implements_formula",
"severity": "required",
"source": "classify",
"target": "count"
},
{
"check_method": "Evaluate count_qualifying(28).",
"relation_type"... | medium_allenai_math_qa_9f12e931a8d6d277 | allenai/math_qa | test | how many positive integers less than 28 are prime numbers , odd multiples of 5 , or the sum of a positive multiple of 2 and a positive multiple of 4 ? |
2 | true | medium | {
"edges": [
{
"check_method": "evaluate cube_weight(7.0, 2.0)",
"relation_type": "uses_value",
"severity": "required",
"source": "cube_weight",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"id": "cube_weight",
"name": "c... | medium_allenai_math_qa_a0213f7d0ccb6acc | allenai/math_qa | test | a cubical block of metal weighs 7 pounds . how much will another cube of the same metal weigh if its sides are twice as long ? |
5 | true | medium | {
"edges": [
{
"check_method": "Call solve_present_ages(20, 5, 5) and format the returned ordered pair.",
"relation_type": "uses_value",
"severity": "required",
"source": "age_solver",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
... | medium_allenai_math_qa_a49c9dbb81af4e21 | allenai/math_qa | test | the ages of two persons differ by 20 years . if 5 years ago , the elder one be 5 times as old as the younger one , their present ages ( in years ) are respectively |
5 | true | medium | {
"edges": [
{
"check_method": "Call ratio_difference_sum('1.5', '0.04') and present its reduced-fraction result.",
"relation_type": "uses_value",
"severity": "required",
"source": "compute_ratio",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_f... | medium_allenai_math_qa_a621e7d9c8c529fa | allenai/math_qa | test | if 1.5 x = 0.04 y then the value of ( y - x ) / ( y + x ) is |
5 | true | medium | {
"edges": [
{
"check_method": "direct_substitution",
"relation_type": "uses_value",
"severity": "required",
"source": "snake_count",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"id": "snake_count",
"name": "compute_tota... | medium_allenai_math_qa_a75f7c10240b5984 | allenai/math_qa | test | there are 79 people that own pets . 15 people own only dogs , 10 people own only cats , 5 people own only cats and dogs , 3 people own cats , dogs and snakes . how many total snakes are there ? |
3 | true | medium | {
"edges": [
{
"check_method": "Call pens_from_machines(240, 8, 5, 5) and use its returned count.",
"relation_type": "uses_value",
"severity": "required",
"source": "compute_pens",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"... | medium_allenai_math_qa_a77cf6c075cde51e | allenai/math_qa | test | running at the same constant rate , 8 identical machines can produce a total of 240 pens per minute . at this rate , how many pens could 5 such machines produce in 5 minutes ? |
4 | true | medium | {
"edges": [
{
"check_method": "Call profit_difference(8000, 10000, 12000, 2000) and use its result as the requested difference.",
"relation_type": "uses_value",
"severity": "required",
"source": "profit_difference",
"target": "main"
}
],
"nodes": [
{
"expected_outp... | medium_allenai_math_qa_ab1b5df0e1ca1b52 | allenai/math_qa | test | a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 2000 . the difference between the profit shares of a and c is ? |
5 | true | medium | {
"edges": [
{
"check_method": "Evaluate minimum_rooms on the three department counts and use its returned total.",
"relation_type": "uses_value",
"severity": "high",
"source": "room_calculation",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_fu... | medium_allenai_math_qa_af603d804f99b07e | allenai/math_qa | test | there are 3 departments having students 72 , 5824 . in an exam they have to be seated in rooms such that each room has equal number of students and each room has students of one type only ( no mixing of departments ) . find the minimum number of rooms required ? |
2 | true | medium | {
"edges": [
{
"check_method": "Use the representative call with values 90 and 80 and counts 3 and 2.",
"relation_type": "uses_value",
"severity": "high",
"source": "weighted_closer",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
... | medium_allenai_math_qa_b1a1012543946c72 | allenai/math_qa | test | average between two sets of numbers is closer to the set withmore no ' s ? |
3 | true | medium | {
"edges": [
{
"check_method": "formula implementation",
"relation_type": "implements_formula",
"severity": "required",
"source": "formula",
"target": "ratio_function"
},
{
"check_method": "representative function call",
"relation_type": "uses_value",
"sever... | medium_allenai_math_qa_b1b2cf0e8186d602 | allenai/math_qa | test | the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.6 years , the ratio of the number of boys to the number of girls in the class is |
4 | true | medium | {
"edges": [
{
"check_method": "Evaluate compute_bob_distance(60, 5, 6, 1) and report the resulting distance.",
"relation_type": "uses_value",
"severity": "critical",
"source": "compute_bob_distance",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "pytho... | medium_allenai_math_qa_b2ba6c14a5fe79ec | allenai/math_qa | test | one hour after yolanda started walking from x to y , a distance of 60 miles , bob started walking along the same road from y to x . if yolanda â s walking rate was 5 miles per hour and bob â s was 6 miles per hour , how many miles had bob walked when they met ? |
4 | true | medium | {
"edges": [
{
"check_method": "balance milk and water fractions",
"relation_type": "implements_formula",
"severity": "required",
"source": "balance",
"target": "ratio_solver"
},
{
"check_method": "execute representative ratio computation",
"relation_type": "equiv... | medium_allenai_math_qa_b6969f8d7d00ffb5 | allenai/math_qa | test | in what ratio p : q should the mixture p of milk and water in the ratio of 6 : 1 be mixed with another mixture q of milk and water in the ratio 3 : 4 so that the resultant mixture contains equal quantities of milk and water ? |
2 | true | medium | {
"edges": [
{
"check_method": "multiply the two hierarchy factors",
"relation_type": "implements_formula",
"severity": "required",
"source": "ratio",
"target": "compute"
},
{
"check_method": "evaluate with supervisors=13, leads_per_supervisor=3, workers_per_lead=10",
... | medium_allenai_math_qa_b6d778ed7524be79 | allenai/math_qa | test | a company has a hierarchical system where for every 10 workers , there is one team lead , and for every 3 teams leads , there is one supervisor . if the company has 13 supervisors , how many workers does it have ? |
4 | true | medium | {
"edges": [
{
"check_method": "Evaluate calculate_together_days(36) and express the resulting duration in days.",
"relation_type": "aggregates_result",
"severity": "high",
"source": "compute_days",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_... | medium_allenai_math_qa_b95f9dfeba762078 | allenai/math_qa | test | a work as fast as b . if b can complete a work in 36 days independently , the number of days in which a and b can together finish the work in ? |
2 | true | medium | {
"edges": [
{
"check_method": "Evaluate still_water_speed(15.0, 25.0) and use its result.",
"relation_type": "uses_value",
"severity": "required",
"source": "compute_speed",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"id": "... | medium_allenai_math_qa_bdba30b997136bdb | allenai/math_qa | test | a man can row upstream at 15 kmph and downstream at 25 kmph , and then find the speed of the man in still water ? |
4 | true | medium | {
"edges": [
{
"check_method": "Cara's total travel time determines Dan's available travel time.",
"relation_type": "uses_value",
"severity": "required",
"source": "cara_time",
"target": "speed_threshold"
},
{
"check_method": "The converted delay is subtracted from Cara... | medium_allenai_math_qa_c0de9273fd04fdb8 | allenai/math_qa | test | the distance from city a to city b is 180 miles . while driving from city a to city b , cara drives at a constant speed of 30 miles per hour . dan leaves city a 120 minutes after cara . what is the minimum constant speed in miles per hour that dan must exceed in order to arrive in city b before cara ? |
3 | true | medium | {
"edges": [
{
"check_method": "call package_savings_percent(9.0, 12, 1.0) and format its percentage result",
"relation_type": "uses_value",
"severity": "required",
"source": "savings",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
... | medium_allenai_math_qa_c242a6ccbada614a | allenai/math_qa | test | a case of 12 rolls of paper towels sells for $ 9 . the cost of one roll sold individually is $ 1 . what is the percent q of savings per roll for the 12 - roll package over the cost of 12 rolls purchased individually ? |
5 | true | medium | {
"edges": [
{
"check_method": "Substitute track_length=600, donovan_lap_seconds=45, and michael_lap_seconds=40 into the returned lap count.",
"relation_type": "uses_value",
"severity": "required",
"source": "laps_to_pass",
"target": "main"
}
],
"nodes": [
{
"expect... | medium_allenai_math_qa_c3a936225d816430 | allenai/math_qa | test | donovan and michael are racing around a circular 600 - meter track . if donovan runs each lap in 45 seconds and michael runs each lap in 40 seconds , how many laps will michael have to complete in order to pass donovan , assuming they start at the same time ? |
3 | true | medium | {
"edges": [
{
"check_method": "compute_percent_more(30.0) supplies the formatted percentage",
"relation_type": "uses_value",
"severity": "required",
"source": "compute_percent_more",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
... | medium_allenai_math_qa_c6992652dd05bd00 | allenai/math_qa | test | if a ' s height is 30 % less than that of b , how much percent b ' s height is more than that of a ? |
2 | true | medium | {
"edges": [
{
"check_method": "substitute the stated equation into the algebraic solver",
"relation_type": "implements_formula",
"severity": "required",
"source": "equation",
"target": "solve"
},
{
"check_method": "use the equation to identify the unknown being answere... | medium_allenai_math_qa_c8907a633e0bd697 | allenai/math_qa | test | a student chose a number , multiplied it by 2 , then subtracted 140 from the result and got 102 . what was the number he chose ? |
2 | true | medium | {
"edges": [
{
"check_method": "Evaluate the ratio function using pen_ratio=5, pencil_ratio=6, and difference=7.",
"relation_type": "uses_value",
"severity": "required",
"source": "ratio_pencils",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_fu... | medium_allenai_math_qa_c9015d00ca244eab | allenai/math_qa | test | the ratio of pens to pencils is 5 to 6 . there are 7 more pencils than pens . how many pencils are there ? |
4 | true | medium | {
"edges": [
{
"check_method": "Call weighted_class_height(20, 142, 30, 149) and format the resulting class average in centimeters.",
"relation_type": "uses_value",
"severity": "required",
"source": "weighted_average",
"target": "main"
}
],
"nodes": [
{
"expected_ou... | medium_allenai_math_qa_d0863af37a77676a | allenai/math_qa | test | the average height of 20 girls out of a class of 50 is 142 cm . and that of the remaining girls is 149 cm . the average height of the whole class is : |
4 | true | medium | {
"edges": [
{
"check_method": "evaluate subtract_to_reach_square(1300, 35)",
"relation_type": "uses_value",
"severity": "required",
"source": "square_gap",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"id": "square_gap",
... | medium_allenai_math_qa_d79cb880fb28cb5e | allenai/math_qa | test | what is the least number to be subtracted from 1300 to make it a perfect square ? |
3 | true | medium | {
"edges": [
{
"check_method": "pass the serviced travel distance as distance_km",
"relation_type": "uses_value",
"severity": "required",
"source": "distance",
"target": "same_distance_time"
},
{
"check_method": "format the computed hours as the final answer",
"re... | medium_allenai_math_qa_d97d8ce8b0fc325b | allenai/math_qa | test | a car runs at the speed of 55 km per hour when not serviced and runs at 90 kmph when serviced . after servicing the car covers a certain distance in 3 hours . how much time will the car take to cover the same distance when not serviced ? |
2 | true | medium | {
"edges": [
{
"check_method": "Call multiply_numbers(46, 46) and use its returned product.",
"relation_type": "uses_value",
"severity": "required",
"source": "multiply",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"id": "mult... | medium_allenai_math_qa_dbb8b033d9b4d235 | allenai/math_qa | test | 46 x 46 = ? |
5 | true | medium | {
"edges": [
{
"check_method": "pass identified masses and percentages as function arguments",
"relation_type": "uses_value",
"severity": "required",
"source": "setup",
"target": "compute"
},
{
"check_method": "evaluate the function on the identified inputs and format a... | medium_allenai_math_qa_e1f8c937f1241dd5 | allenai/math_qa | test | by weight , liquid x makes up 1.5 percent of solution p and 6.5 percent of solution q . if 400 grams of solution p are mixed with 600 grams of solution q , then liquid x accounts for what percent of the weight of the resulting solution ? |
2 | true | medium | {
"edges": [
{
"check_method": "Evaluate solve_x(520, 2, 2).",
"relation_type": "uses_value",
"severity": "required",
"source": "solve_x",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"id": "solve_x",
"name": "solve_x",
... | medium_allenai_math_qa_f136a401e8845a2b | allenai/math_qa | test | a straight line in the xy - plane has a slope of 2 and a y - intercept of 2 . on this line , what is the x - coordinate of the point whose y - coordinate is 520 ? |
4 | true | medium | {
"edges": [
{
"check_method": "Call solve_age(18, 8, 3) and use its returned present age.",
"relation_type": "uses_value",
"severity": "error",
"source": "solve_age",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"id": "solve_a... | medium_allenai_math_qa_f2f0ff268525dea2 | allenai/math_qa | test | dan ' s age after 18 years will be 8 times his age 3 years ago . what is the present age of dan ? |
3 | true | medium | {
"edges": [
{
"check_method": "use the interpretation that each ratio term is raised to the third power",
"relation_type": "implements_formula",
"severity": "required",
"source": "interpret",
"target": "cube_ratio"
},
{
"check_method": "evaluate triplicate_ratio(1, 7)"... | medium_allenai_math_qa_f45eed87e048329a | allenai/math_qa | test | the triplicate ratio of 1 : 7 is ? |
3 | true | medium | {
"edges": [
{
"check_method": "evaluate count_digit_occurrences(1, 1000, 4) and use its integer result",
"relation_type": "uses_value",
"severity": "required",
"source": "count",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"i... | medium_allenai_math_qa_fe40346edf7e2625 | allenai/math_qa | test | how many times will the digit 4 be written when listing the integers from 1 to 1000 ? |
2 | true | medium | {
"edges": [
{
"check_method": "Use convert_train_speed(284, 18) as the rounded speed in km/h.",
"relation_type": "uses_value",
"severity": "required",
"source": "speed_converter",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"... | medium_allenai_math_qa_fe996de5160110c0 | allenai/math_qa | test | a train 284 m in length crosses a telegraph post in 18 seconds . the speed of the train is ? |
1 | true | medium | {
"edges": [
{
"check_method": "Evaluate simplify_sqrt_power(5, 4) and express its value as the simplified result.",
"relation_type": "uses_value",
"severity": "required",
"source": "compute",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_functi... | medium_eleutherai_hendrycks_math_035056e190093386 | EleutherAI/hendrycks_math | test | Simplify: $(\sqrt{5})^4$. |
1 | true | medium | {
"edges": [
{
"check_method": "Evaluate max_sundays(49) and format its integer result as the answer.",
"relation_type": "uses_value",
"severity": "required",
"source": "count",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"id"... | medium_eleutherai_hendrycks_math_03f9b2241b376275 | EleutherAI/hendrycks_math | test | What is the greatest number of Sundays that can occur in the first $49$ days of a year? |
1 | true | medium | {
"edges": [
{
"check_method": "Evaluate compute_seventh on the stated third and fifth terms.",
"relation_type": "uses_value",
"severity": "required",
"source": "compute_seventh",
"target": "main"
}
],
"nodes": [
{
"expected_output_type": "python_function",
"i... | medium_eleutherai_hendrycks_math_09081ca71a386b3e | EleutherAI/hendrycks_math | test | The 3rd and 5th terms of an arithmetic sequence are 17 and 39, respectively. What is the 7th term of the same sequence? |
3 | true | medium | {
"edges": [
{
"check_method": "Pass the inferred horizontal and vertical semiaxes as a and b.",
"relation_type": "uses_value",
"severity": "required",
"source": "geometry",
"target": "focal_distance"
},
{
"check_method": "Use the exact computed focal distance as the fi... | medium_eleutherai_hendrycks_math_0a87ea5b2100e5fc | EleutherAI/hendrycks_math | test | An ellipse whose axes are parallel to the coordinate axes is tangent to the $x$-axis at $(4, 0)$ and tangent to the $y$-axis at $(0, 1).$ Find the distance between the foci of the ellipse. |
2 | true | medium | {
"edges": [
{
"check_method": "pass the prime-factor tuple as the function input",
"relation_type": "uses_value",
"severity": "required",
"source": "factor",
"target": "maximize"
},
{
"check_method": "use the function return value as the requested maximum sum",
"... | medium_eleutherai_hendrycks_math_0af59289e974c29e | EleutherAI/hendrycks_math | test | In the year 2001, the United States will host the International Mathematical Olympiad. Let $I$, $M$, and $O$ be distinct positive integers such that the product $I\cdot M\cdot O=2001$. What is the largest possible value of the sum $I+M+O$? |
End of preview. Expand in Data Studio
FSG-RL function-graph data
This release contains the SFT and GRPO records used in Function-Structured Reinforcement Learning with Executable Verifiers for Mathematical Reasoning, plus the public inputs for its 400-item held-out evaluation set. The evaluation records contain 97 GSM8K, 95 MathQA, 128 MATH, and 80 Omni-MATH problems. This is a custom, graph-conditioned benchmark; scores on it are not official scores on the source datasets.
| File | Records | Use |
|---|---|---|
data/sft_stage1_graph_train.jsonl and data/sft_stage1_solve_train.jsonl |
798 each | Graph-construction and solving SFT targets on the same 798 Omni problems |
data/sft_stage1_*_validation.jsonl |
42 each | SFT validation |
data/sft_stage2_mixed_train.jsonl |
632 | Executable-solving SFT records from 158 unique problems |
data/sft_stage2_validation.jsonl |
17 | Executable-solving validation |
data/grpo_main_train.jsonl |
866 | Main GRPO training, 708 Medium plus 158 Omni problems |
data/grpo_main_validation.jsonl |
96 | GRPO validation |
data/grpo_teacher_hard60.jsonl |
60 | Training subset used for teacher continuations |
data/test.jsonl |
400 | Evaluation-only public questions and function graphs |
SFT files contain message-level training targets. GRPO training files contain gold answers and verification specifications because they are training data. Their annotation audits were removed from this release; the verification graphs needed for training rewards are retained. The 60 teacher problems are a subset of the main GRPO training split and must not be counted as new independent training problems.
data/test.jsonl has one JSON object per problem with id, text, source, difficulty, family, split, do_not_train, and function_graph. The graph is a directed set of public subquestions and Python interfaces supplied to the policy. All rows are for evaluation only.
The original locked evaluation scoring file had SHA256 6bdfa3a01d45b4308df2b2564a0a07f82c0e0c4f4b398eeae0597d172469ae90. The public evaluation export has SHA256 1b48396beb2f565dacdc266efefe6089c85bf93949aae1a38de3227a9fe5ed6a; it is not the original scoring file. Evaluation gold answers, target calls, hidden tests, reference or mutant implementations, and annotation audits are not included. Therefore the public evaluation split alone cannot reproduce the paper's answer or private-verifier metrics. See the code repository for the evaluator and frozen-protocol record.
The split was assembled from reserved pools, with matching problem IDs and normalized problem text excluded against supplied training records and an earlier development set. This check does not establish absence from any foundation model's pretraining data. The function graphs were prepared offline; evaluating a model on this dataset tests graph-conditioned executable solving, not autonomous graph construction from the question alone.
Source attribution and licenses: GSM8K (MIT), MathQA (Apache-2.0), MATH (MIT), and Omni-MATH (Apache-2.0). Reuse remains subject to the source datasets' terms.
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