Datasets:
id stringlengths 13 18 | source stringclasses 15
values | problem stringlengths 5 941 | answer stringlengths 1 65 | answer_type stringclasses 6
values | domain stringclasses 109
values | difficulty stringclasses 11
values | reasoning_pattern stringlengths 4 183 | language stringclasses 2
values | gim_query stringlengths 156 2.01k |
|---|---|---|---|---|---|---|---|---|---|
manual-000001 | manual/anchor | 1+1=? | 2 | numeric | arithmetic | simple | solve directly from the problem statement | en | <|GIM_QUERY|>1+1=?
<|MASKED name="move" desc="solve directly from the problem statement"|><|/MASKED|> Therefore <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000002 | manual/anchor | Compute 23 × 47. | 1081 | numeric | arithmetic | simple | solve directly from the problem statement | en | <|GIM_QUERY|>Task: Compute 23 × 47.
Computation: <|MASKED name="calculation" desc="solve directly from the problem statement"|><|/MASKED|>
Result -> <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000003 | manual/anchor | Solve for x: 3x + 7 = 22. | 5 | numeric | algebra | simple | solve directly from the problem statement | en | <|GIM_QUERY|>Solve for x: 3x + 7 = 22.
I will use <|MASKED name="rule" desc="solve directly from the problem statement"|><|/MASKED|>; final value: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000004 | manual/anchor | A store sells notebooks for $3 each. If Sarah buys 8 notebooks and pays with a $50 bill, how much change does she receive? | 26 | numeric | word_problem | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Fill this math response. Problem = A store sells notebooks for $3 each. If Sarah buys 8 notebooks and pays with a $50 bill, how much change does she receive?
Reasoning gap = <|MASKED name="gap" desc="solve directly from the problem statement"|><|/MASKED|>
Answer gap = <|MASKED name="answer" regex="-?\d+\.?... |
manual-000005 | manual/anchor | A right triangle has legs of length 5 and 12. What is the length of the hypotenuse? | 13 | numeric | geometry | simple | solve directly from the problem statement | en | <|GIM_QUERY|>A right triangle has legs of length 5 and 12. What is the length of the hypotenuse?
[1] <|MASKED name="setup" desc="identify the quantities and relation"|><|/MASKED|>
[2] <|MASKED name="finish" desc="solve directly from the problem statement"|><|/MASKED|>
[final] <|MASKED name="answer" regex="-?\d+\.?\d*"|... |
manual-000006 | manual/anchor | Find the remainder when 2^100 is divided by 7. | 2 | numeric | number_theory | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Question text: Find the remainder when 2^100 is divided by 7.
A compact justification is hidden here: <|MASKED name="justification" desc="solve directly from the problem statement"|><|/MASKED|>
So the answer is <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000007 | manual/anchor | How many diagonals does a regular pentagon have? | 5 | numeric | combinatorics | medium | solve directly from the problem statement | en | <|GIM_QUERY|>How many diagonals does a regular pentagon have?
Use one line only: <|MASKED name="one_line" desc="solve directly from the problem statement"|><|/MASKED|>; answer <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000008 | manual/anchor | A fair six-sided die is rolled once. What is the probability of rolling an even number? | 0.5 | numeric | probability | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Input
A fair six-sided die is rolled once. What is the probability of rolling an even number?
Resolver scratchpad: <|MASKED name="scratchpad" desc="solve directly from the problem statement"|><|/MASKED|>
Output
<|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000009 | manual/anchor | The first term of an arithmetic sequence is 4 and the common difference is 7. What is the 10th term? | 67 | numeric | sequence | medium | solve directly from the problem statement | en | <|GIM_QUERY|>The first term of an arithmetic sequence is 4 and the common difference is 7. What is the 10th term?
Before writing the answer, verify by <|MASKED name="verification" desc="checking the result against the original condition"|><|/MASKED|>
Verified answer: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKE... |
manual-000010 | manual/anchor | What is 25% of 80? | 20 | numeric | ratio_percent | simple | solve directly from the problem statement | en | <|GIM_QUERY|>For `What is 25% of 80?`, complete the hidden step <|MASKED name="hidden_step" desc="solve directly from the problem statement"|><|/MASKED|> and return <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000011 | manual/anchor | A rectangle has perimeter 30 and length 10. What is its width? | 5 | numeric | geometry | medium | solve directly from the problem statement | en | <|GIM_QUERY|>A rectangle has perimeter 30 and length 10. What is its width?
method | <|MASKED name="method" desc="solve directly from the problem statement"|><|/MASKED|>
answer | <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000012 | manual/anchor | Lena buys 3 pens at $2 each and 2 notebooks at $5 each. If she starts with $25, how much money does she have left? | 9 | numeric | mixed_multi_step | medium | solve directly from the problem statement | en | <|GIM_QUERY|>answer_type=numeric
problem=Lena buys 3 pens at $2 each and 2 notebooks at $5 each. If she starts with $25, how much money does she have left?
reason=<|MASKED name="reason" desc="solve directly from the problem statement"|><|/MASKED|>
answer=<|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUE... |
manual-000013 | manual/anchor | If f(x) = 2x + 3, what is f(7)? | 17 | numeric | function | simple | solve directly from the problem statement | en | <|GIM_QUERY|>If f(x) = 2x + 3, what is f(7)?
The missing middle: <|MASKED name="middle" desc="solve directly from the problem statement"|><|/MASKED|>
The final blank: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000014 | manual/anchor | Solve for y: 4y - 9 = 2y + 15. | 12 | numeric | algebra | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Transform this prompt: Solve for y: 4y - 9 = 2y + 15.
Transformation note: <|MASKED name="transform" desc="solve directly from the problem statement"|><|/MASKED|>
Transformed answer: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000015 | manual/anchor | Compute 3/4 of 28. | 21 | numeric | fraction | simple | solve directly from the problem statement | en | <|GIM_QUERY|>Compute 3/4 of 28.
Audit: idea=<|MASKED name="idea" desc="select a suitable relation"|><|/MASKED|>; execution=<|MASKED name="execution" desc="solve directly from the problem statement"|><|/MASKED|>; final=<|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000016 | manual/anchor | A car travels 180 miles in 3 hours. What is its average speed in miles per hour? | 60 | numeric | unit_rate | simple | solve directly from the problem statement | en | <|GIM_QUERY|>Complete the response:
A car travels 180 miles in 3 hours. What is its average speed in miles per hour?
Because <|MASKED name="because" desc="solve directly from the problem statement"|><|/MASKED|>, the requested answer is <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000017 | manual/anchor | What is the greatest common divisor of 84 and 126? | 42 | numeric | number_theory | medium | solve directly from the problem statement | en | <|GIM_QUERY|>What is the greatest common divisor of 84 and 126?
Working space -> <|MASKED name="work" desc="solve directly from the problem statement"|><|/MASKED|>
Nothing else is needed: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000018 | manual/anchor | In how many ways can 3 students be chosen from a group of 8 students? | 56 | numeric | combinatorics | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Prompt: In how many ways can 3 students be chosen from a group of 8 students?
Resolver note (<|MASKED name="note" desc="solve directly from the problem statement"|><|/MASKED|>).
Final answer goes here: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000019 | manual/anchor | Two fair coins are flipped. What is the probability that both coins show heads? | 0.25 | numeric | probability | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Two fair coins are flipped. What is the probability that both coins show heads?
Useful intermediate: <|MASKED name="intermediate" desc="the simplified quantity before the final response"|><|/MASKED|>
Using it, write <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000021 | Big-Math-RL-Verified/MATH | If |x - 3| = 7, what is the positive solution for x? | 10 | numeric | algebra | medium | solve directly from the problem statement | en | <|GIM_QUERY|>If |x - 3| = 7, what is the positive solution for x?
<|MASKED name="reason_0" desc="solve directly from the problem statement"|><|/MASKED|>
<|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000022 | Big-Math-RL-Verified/olympiads | Find the sum of the integers from 1 to 50 inclusive. | 1275 | numeric | sequence | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Read carefully: Find the sum of the integers from 1 to 50 inclusive.
Essential move: <|MASKED name="essential_move" desc="solve directly from the problem statement"|><|/MASKED|>
The blank below is final.
<|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000023 | Big-Math-RL-Verified/aops_forum | The product of two consecutive positive integers is 72. What is the smaller integer? | 8 | numeric | algebra | hard | solve directly from the problem statement | en | <|GIM_QUERY|>The product of two consecutive positive integers is 72. What is the smaller integer?
Route <|MASKED name="route" desc="solve directly from the problem statement"|><|/MASKED|> -> <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000024 | Big-Math-RL-Verified/Omni-MATH | What is the least positive integer n such that 5n leaves a remainder of 1 when divided by 12? | 5 | numeric | number_theory | hard | solve directly from the problem statement | en | <|GIM_QUERY|>Math item: What is the least positive integer n such that 5n leaves a remainder of 1 when divided by 12?
row: rule = <|MASKED name="rule_row" desc="solve directly from the problem statement"|><|/MASKED|>
row: response = <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000025 | Big-Math-RL-Verified/Orca-Math | If x + y = 10 and x - y = 4, what is x? | 7 | numeric | linear_system | medium | solve directly from the problem statement | en | <|GIM_QUERY|>If x + y = 10 and x - y = 4, what is x?
Solver note: <|MASKED name="solver_note" desc="solve directly from the problem statement"|><|/MASKED|>
Conclude with <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000026 | Big-Math-RL-Verified/Big-Math-Reformulated | What is the least common multiple of 12 and 18? | 36 | numeric | number_theory | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Let us solve: What is the least common multiple of 12 and 18?
Step A: <|MASKED name="step_a" desc="extract what is asked"|><|/MASKED|>
Step B: <|MASKED name="step_b" desc="solve directly from the problem statement"|><|/MASKED|>
Answer: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000027 | Big-Math-RL-Verified/HARP | The average of five numbers is 14. Four of the numbers are 10, 12, 15, and 18. What is the fifth number? | 15 | numeric | statistics | medium | solve directly from the problem statement | en | <|GIM_QUERY|>The average of five numbers is 14. Four of the numbers are 10, 12, 15, and 18. What is the fifth number?
Fill in only enough reasoning to support the final response: <|MASKED name="support" desc="solve directly from the problem statement"|><|/MASKED|>
<|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|>... |
manual-000028 | Big-Math-RL-Verified/cn_k12 | 一个正方形的周长是36厘米，它的边长是多少厘米？ | 9 | numeric | cn_k12_geometry | simple | solve directly from the problem statement | zh | <|GIM_QUERY|>Question: 一个正方形的周长是36厘米，它的边长是多少厘米？
Hidden derivation / <|MASKED name="derivation" desc="solve directly from the problem statement"|><|/MASKED|> / final / <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000029 | Big-Math-RL-Verified/GSM8k | Maria has 4 boxes with 6 pencils in each box. She gives away 9 pencils. How many pencils does she have left? | 15 | numeric | word_problem | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Maria has 4 boxes with 6 pencils in each box. She gives away 9 pencils. How many pencils does she have left?
A terse answer is acceptable after this check: <|MASKED name="check" desc="solve directly from the problem statement"|><|/MASKED|>
Final: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GI... |
manual-000030 | Big-Math-RL-Verified/MATH | If 2(x - 4) + 3 = 17, what is x? | 11 | numeric | algebra | hard | solve directly from the problem statement | en | <|GIM_QUERY|>Complete: If 2(x - 4) + 3 = 17, what is x?
missing calculation -> <|MASKED name="missing_calculation" desc="solve directly from the problem statement"|><|/MASKED|>
missing final -> <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000031 | Big-Math-RL-Verified/MATH | Solve for x: 2x + 1 = 0. Give the answer as a fraction. | \boxed{-\frac{1}{2}} | latex | algebra | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Solve for x: 2x + 1 = 0. Give the answer as a fraction.
Reasoning token: <|MASKED name="reasoning_token" desc="solve directly from the problem statement"|><|/MASKED|>
Answer token: <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000032 | Big-Math-RL-Verified/MATH | What is the exact length of the diagonal of a square with side length 3? | 3\sqrt{2} | latex | radical | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Solve and fill the last field. What is the exact length of the diagonal of a square with side length 3?
Field 1: <|MASKED name="field_1" desc="solve directly from the problem statement"|><|/MASKED|>
Field 2: <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000034 | Big-Math-RL-Verified/MATH | Solve the inequality x + 2 < 5. Give the answer in interval notation. | (-\infty,3) | interval | inequality | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Given Solve the inequality x + 2 < 5. Give the answer in interval notation.
Computation capsule [<|MASKED name="capsule" desc="solve directly from the problem statement"|><|/MASKED|>]
Final capsule [<|MASKED name="answer" regex=".*"|><|/MASKED|>]<|/GIM_QUERY|> |
manual-000035 | Big-Math-RL-Verified/Big-Math-Reformulated | What is the midpoint of the segment with endpoints (2, 4) and (8, 10)? | (5,7) | ordered_pair | coordinate_geometry | simple | solve directly from the problem statement | en | <|GIM_QUERY|>What is the midpoint of the segment with endpoints (2, 4) and (8, 10)?
Select relation: <|MASKED name="selected_relation" desc="solve directly from the problem statement"|><|/MASKED|>
Write response: <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000036 | Big-Math-RL-Verified/olympiads | What is the exact value of sin(π/6)? | \boxed{\frac{1}{2}} | latex | trigonometry | medium | solve directly from the problem statement | en | <|GIM_QUERY|>The problem is What is the exact value of sin(π/6)?
I need the following missing computation: <|MASKED name="missing" desc="solve directly from the problem statement"|><|/MASKED|>
I then report <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000037 | Big-Math-RL-Verified/MATH | What is the determinant of the matrix [[1, 2], [3, 4]]? | -2 | numeric | matrix | medium | solve directly from the problem statement | en | <|GIM_QUERY|>What is the determinant of the matrix [[1, 2], [3, 4]]?
Short proof fragment: <|MASKED name="proof_fragment" desc="solve directly from the problem statement"|><|/MASKED|>
Therefore the boxed result would be <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000038 | Big-Math-RL-Verified/MATH | Find the dot product of vectors (2, -1, 3) and (4, 0, -2). | 2 | numeric | vector | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Item: Find the dot product of vectors (2, -1, 3) and (4, 0, -2).
calc:<|MASKED name="calc" desc="solve directly from the problem statement"|><|/MASKED|>
ans:<|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000039 | Big-Math-RL-Verified/Orca-Math | Evaluate log base 2 of 32. | 5 | numeric | logarithm | simple | solve directly from the problem statement | en | <|GIM_QUERY|>Evaluate log base 2 of 32.
Reasoning omitted except this mask: <|MASKED name="omitted_reason" desc="solve directly from the problem statement"|><|/MASKED|>
The final answer is <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000040 | Big-Math-RL-Verified/MATH | If 3^(x+1) = 81, what is x? | 3 | numeric | exponent | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Resolve `If 3^(x+1) = 81, what is x?`.
Required clue: <|MASKED name="clue" desc="solve directly from the problem statement"|><|/MASKED|>
Required final: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000041 | Big-Math-RL-Verified/aops_forum | How many distinct arrangements are there of the letters in the word LEVEL? | 30 | numeric | combinatorics | medium | solve directly from the problem statement | en | <|GIM_QUERY|>How many distinct arrangements are there of the letters in the word LEVEL?
Line 1 says what to do: <|MASKED name="line_1" desc="solve directly from the problem statement"|><|/MASKED|>
Line 2 gives the answer: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000042 | Big-Math-RL-Verified/HARP | A box contains 3 red balls and 2 blue balls. If one ball is chosen at random, what is the probability it is blue? | 0.4 | numeric | probability | medium | solve directly from the problem statement | en | <|GIM_QUERY|>From the prompt A box contains 3 red balls and 2 blue balls. If one ball is chosen at random, what is the probability it is blue?, derive <|MASKED name="derived_piece" desc="solve directly from the problem statement"|><|/MASKED|>; final answer <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_Q... |
manual-000043 | Big-Math-RL-Verified/Omni-MATH | What is the area of an equilateral triangle with side length 6? Give the exact value. | 9\sqrt{3} | latex | geometry | hard | solve directly from the problem statement | en | <|GIM_QUERY|>What is the area of an equilateral triangle with side length 6? Give the exact value.
Use this hidden result: <|MASKED name="hidden_result" desc="solve directly from the problem statement"|><|/MASKED|>
Response field: <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000044 | Big-Math-RL-Verified/cn_k12 | 解方程：5x-8=27，求x的值。 | 7 | numeric | cn_k12_equation | medium | solve directly from the problem statement | zh | <|GIM_QUERY|>Solve: 解方程：5x-8=27，求x的值。
Reason briefly in the slot: <|MASKED name="brief_reason" desc="solve directly from the problem statement"|><|/MASKED|>
Only final value here: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000045 | Big-Math-RL-Verified/Big-Math-Reformulated | A price is reduced from $80 to $60. What is the percent decrease? | 25 | numeric | ratio_percent | medium | solve directly from the problem statement | en | <|GIM_QUERY|>A price is reduced from $80 to $60. What is the percent decrease?
If checking manually, start with <|MASKED name="manual_start" desc="solve directly from the problem statement"|><|/MASKED|>
Then enter <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000046 | Big-Math-RL-Verified/MATH | Simplify (3 + 2i) + (4 - 5i). | 7-3i | latex | complex_numbers | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Question body: Simplify (3 + 2i) + (4 - 5i).
Resolution body: <|MASKED name="resolution" desc="solve directly from the problem statement"|><|/MASKED|>
Answer body: <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000047 | Big-Math-RL-Verified/MATH | Let f(x)=x^2-1. What is f(f(2))? | 8 | numeric | function | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Let f(x)=x^2-1. What is f(f(2))?
This is the decisive step: <|MASKED name="decisive_step" desc="solve directly from the problem statement"|><|/MASKED|>
Decisive answer: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000048 | Big-Math-RL-Verified/olympiads | Find the remainder when 7^2024 is divided by 10. | 1 | numeric | number_theory | hard | solve directly from the problem statement | en | <|GIM_QUERY|>Compute/solve the following. Find the remainder when 7^2024 is divided by 10.
Hidden work section begins <|MASKED name="hidden_work_section" desc="solve directly from the problem statement"|><|/MASKED|> hidden work section ends.
Final section begins <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|... |
manual-000049 | Big-Math-RL-Verified/amc_aime | A circle has radius 5. What is the diameter? | 10 | numeric | geometry | hard | solve directly from the problem statement | en | <|GIM_QUERY|>A circle has radius 5. What is the diameter?
Reasoning field may be sentence-like: <|MASKED name="sentence_reason" desc="solve directly from the problem statement"|><|/MASKED|>
Final field may be terse: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000050 | Big-Math-RL-Verified/Orca-Math | What is the median of the numbers 2, 9, 4, 7, and 5? | 5 | numeric | statistics | simple | solve directly from the problem statement | en | <|GIM_QUERY|>Fill two blanks for: What is the median of the numbers 2, 9, 4, 7, and 5?
blank one = <|MASKED name="blank_one" desc="solve directly from the problem statement"|><|/MASKED|>
blank two = <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000051 | Big-Math-RL-Verified/MATH | Differentiate x^3 with respect to x. | 3x^2 | expression | calculus | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Differentiate x^3 with respect to x.
<|MASKED name="move" desc="solve directly from the problem statement"|><|/MASKED|> Therefore <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000052 | Big-Math-RL-Verified/aops_forum | What is the circumference of a circle with radius r? | 2\pi r | latex | geometry | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Task: What is the circumference of a circle with radius r?
Computation: <|MASKED name="calculation" desc="solve directly from the problem statement"|><|/MASKED|>
Result -> <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000053 | Big-Math-RL-Verified/Orca-Math | Compute 144 divided by 12. | 12 | numeric | arithmetic | simple | solve directly from the problem statement | en | <|GIM_QUERY|>Compute 144 divided by 12.
I will use <|MASKED name="rule" desc="solve directly from the problem statement"|><|/MASKED|>; final value: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000054 | Big-Math-RL-Verified/Orca-Math | A baker makes 48 muffins and packs them equally into 6 boxes. How many muffins are in each box? | 8 | numeric | word_problem | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Fill this math response. Problem = A baker makes 48 muffins and packs them equally into 6 boxes. How many muffins are in each box?
Reasoning gap = <|MASKED name="gap" desc="solve directly from the problem statement"|><|/MASKED|>
Answer gap = <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUE... |
manual-000055 | Big-Math-RL-Verified/Orca-Math | A shirt costs $40 and is discounted by 15%. What is the sale price? | 34 | numeric | ratio_percent | medium | solve directly from the problem statement | en | <|GIM_QUERY|>A shirt costs $40 and is discounted by 15%. What is the sale price?
[1] <|MASKED name="setup" desc="identify the quantities and relation"|><|/MASKED|>
[2] <|MASKED name="finish" desc="solve directly from the problem statement"|><|/MASKED|>
[final] <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/G... |
manual-000056 | Big-Math-RL-Verified/Orca-Math | If 6x = 54, what is x? | 9 | numeric | algebra | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Question text: If 6x = 54, what is x?
A compact justification is hidden here: <|MASKED name="justification" desc="solve directly from the problem statement"|><|/MASKED|>
So the answer is <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000057 | Big-Math-RL-Verified/cn_k12 | 计算：36÷4+7。 | 16 | numeric | cn_k12_arithmetic | simple | solve directly from the problem statement | zh | <|GIM_QUERY|>计算：36÷4+7。
Use one line only: <|MASKED name="one_line" desc="solve directly from the problem statement"|><|/MASKED|>; answer <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000058 | Big-Math-RL-Verified/cn_k12 | 一支铅笔3元，小红买了5支，付了20元，应找回多少元？ | 5 | numeric | cn_k12_word_problem | medium | solve directly from the problem statement | zh | <|GIM_QUERY|>Input
一支铅笔3元，小红买了5支，付了20元，应找回多少元？
Resolver scratchpad: <|MASKED name="scratchpad" desc="solve directly from the problem statement"|><|/MASKED|>
Output
<|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000059 | Big-Math-RL-Verified/cn_k12 | 把分数 6/8 化成最简分数。 | \frac{3}{4} | latex | cn_k12_fraction | medium | solve directly from the problem statement | zh | <|GIM_QUERY|>把分数 6/8 化成最简分数。
Before writing the answer, verify by <|MASKED name="verification" desc="checking the result against the original condition"|><|/MASKED|>
Verified answer: <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000060 | Big-Math-RL-Verified/cn_k12 | 长方形的长是12厘米，宽是5厘米，面积是多少平方厘米？ | 60 | numeric | cn_k12_geometry | medium | solve directly from the problem statement | zh | <|GIM_QUERY|>For `长方形的长是12厘米，宽是5厘米，面积是多少平方厘米？`, complete the hidden step <|MASKED name="hidden_step" desc="solve directly from the problem statement"|><|/MASKED|> and return <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000061 | Big-Math-RL-Verified/Big-Math-Reformulated | Simplify the expression 2x + 3x - x. | 4x | expression | expression_simplification | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Simplify the expression 2x + 3x - x.
method | <|MASKED name="method" desc="solve directly from the problem statement"|><|/MASKED|>
answer | <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000062 | Big-Math-RL-Verified/Big-Math-Reformulated | Give the area of a circle with radius 4 in exact form. | 16\pi | latex | geometry | medium | solve directly from the problem statement | en | <|GIM_QUERY|>answer_type=latex
problem=Give the area of a circle with radius 4 in exact form.
reason=<|MASKED name="reason" desc="solve directly from the problem statement"|><|/MASKED|>
answer=<|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000063 | Big-Math-RL-Verified/Big-Math-Reformulated | Solve t - 11 = 4. | 15 | numeric | linear_equation | simple | solve directly from the problem statement | en | <|GIM_QUERY|>Solve t - 11 = 4.
The missing middle: <|MASKED name="middle" desc="solve directly from the problem statement"|><|/MASKED|>
The final blank: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000064 | Big-Math-RL-Verified/Big-Math-Reformulated | A geometric sequence starts with 3 and has common ratio 2. What is the 5th term? | 48 | numeric | sequence | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Transform this prompt: A geometric sequence starts with 3 and has common ratio 2. What is the 5th term?
Transformation note: <|MASKED name="transform" desc="solve directly from the problem statement"|><|/MASKED|>
Transformed answer: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000065 | Big-Math-RL-Verified/Orca-Math | The mean of 6, 8, and x is 10. What is x? | 16 | numeric | statistics | medium | solve directly from the problem statement | en | <|GIM_QUERY|>The mean of 6, 8, and x is 10. What is x?
Audit: idea=<|MASKED name="idea" desc="select a suitable relation"|><|/MASKED|>; execution=<|MASKED name="execution" desc="solve directly from the problem statement"|><|/MASKED|>; final=<|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000066 | Big-Math-RL-Verified/Orca-Math | How many centimeters are in 2.5 meters? | 250 | numeric | measurement | simple | solve directly from the problem statement | en | <|GIM_QUERY|>Complete the response:
How many centimeters are in 2.5 meters?
Because <|MASKED name="because" desc="solve directly from the problem statement"|><|/MASKED|>, the requested answer is <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000067 | Big-Math-RL-Verified/cn_k12 | 甲数是乙数的3倍，乙数是8，甲数是多少？ | 24 | numeric | cn_k12_ratio | medium | solve directly from the problem statement | zh | <|GIM_QUERY|>甲数是乙数的3倍，乙数是8，甲数是多少？
Working space -> <|MASKED name="work" desc="solve directly from the problem statement"|><|/MASKED|>
Nothing else is needed: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000068 | Big-Math-RL-Verified/Big-Math-Reformulated | List the positive factors of 6 as a set. | {1,2,3,6} | set | set | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Prompt: List the positive factors of 6 as a set.
Resolver note (<|MASKED name="note" desc="solve directly from the problem statement"|><|/MASKED|>).
Final answer goes here: <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000069 | Big-Math-RL-Verified/olympiads | What is the remainder when 12345 is divided by 9? | 6 | numeric | number_theory | medium | solve directly from the problem statement | en | <|GIM_QUERY|>What is the remainder when 12345 is divided by 9?
Useful intermediate: <|MASKED name="intermediate" desc="the simplified quantity before the final response"|><|/MASKED|>
Using it, write <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000070 | Big-Math-RL-Verified/olympiads | What is the area of a circle with diameter 10 in exact form? | 25\pi | latex | geometry | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Problem statement: What is the area of a circle with diameter 10 in exact form?
Solution narrative: <|MASKED name="narrative" desc="solve directly from the problem statement"|><|/MASKED|>
Hence <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000071 | Big-Math-RL-Verified/olympiads | The sum of three consecutive integers is 42. What is the largest integer? | 15 | numeric | algebra | hard | solve directly from the problem statement | en | <|GIM_QUERY|>The sum of three consecutive integers is 42. What is the largest integer?
<|MASKED name="reason_0" desc="solve directly from the problem statement"|><|/MASKED|>
<|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000072 | Big-Math-RL-Verified/olympiads | How many two-digit positive integers have tens digit 4? | 10 | numeric | combinatorics | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Read carefully: How many two-digit positive integers have tens digit 4?
Essential move: <|MASKED name="essential_move" desc="solve directly from the problem statement"|><|/MASKED|>
The blank below is final.
<|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000073 | Big-Math-RL-Verified/cn_k12 | 计算：2.5+3.75。 | 6.25 | numeric | cn_k12_decimal | simple | solve directly from the problem statement | zh | <|GIM_QUERY|>计算：2.5+3.75。
Route <|MASKED name="route" desc="solve directly from the problem statement"|><|/MASKED|> -> <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000074 | Big-Math-RL-Verified/cn_k12 | 如果 2x+6=20，那么 x 等于多少？ | 7 | numeric | cn_k12_algebra | medium | solve directly from the problem statement | zh | <|GIM_QUERY|>Math item: 如果 2x+6=20，那么 x 等于多少？
row: rule = <|MASKED name="rule_row" desc="solve directly from the problem statement"|><|/MASKED|>
row: response = <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000075 | Big-Math-RL-Verified/cn_k12 | 合并同类项：3a+5a-2a。 | 6a | expression | cn_k12_expression | medium | solve directly from the problem statement | zh | <|GIM_QUERY|>合并同类项：3a+5a-2a。
Solver note: <|MASKED name="solver_note" desc="solve directly from the problem statement"|><|/MASKED|>
Conclude with <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000076 | Big-Math-RL-Verified/cn_k12 | 3米等于多少厘米？ | 300 | numeric | cn_k12_unit | simple | solve directly from the problem statement | zh | <|GIM_QUERY|>Let us solve: 3米等于多少厘米？
Step A: <|MASKED name="step_a" desc="extract what is asked"|><|/MASKED|>
Step B: <|MASKED name="step_b" desc="solve directly from the problem statement"|><|/MASKED|>
Answer: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000077 | Big-Math-RL-Verified/Orca-Math | A spinner has 8 equal sections numbered 1 through 8. What is the probability of landing on a number greater than 6? | 0.25 | numeric | probability | medium | solve directly from the problem statement | en | <|GIM_QUERY|>A spinner has 8 equal sections numbered 1 through 8. What is the probability of landing on a number greater than 6?
Fill in only enough reasoning to support the final response: <|MASKED name="support" desc="solve directly from the problem statement"|><|/MASKED|>
<|MASKED name="answer" regex="-?\d+\.?\d*"|>... |
manual-000078 | Big-Math-RL-Verified/Orca-Math | A triangle has base 14 and height 9. What is its area? | 63 | numeric | geometry | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Question: A triangle has base 14 and height 9. What is its area?
Hidden derivation / <|MASKED name="derivation" desc="solve directly from the problem statement"|><|/MASKED|> / final / <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000079 | Big-Math-RL-Verified/Orca-Math | Simplify the fraction 10/15. | \frac{2}{3} | latex | fraction | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Simplify the fraction 10/15.
A terse answer is acceptable after this check: <|MASKED name="check" desc="solve directly from the problem statement"|><|/MASKED|>
Final: <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000080 | Big-Math-RL-Verified/Orca-Math | Solve m + 19 = 31. | 12 | numeric | linear_equation | simple | solve directly from the problem statement | en | <|GIM_QUERY|>Complete: Solve m + 19 = 31.
missing calculation -> <|MASKED name="missing_calculation" desc="solve directly from the problem statement"|><|/MASKED|>
missing final -> <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000081 | Big-Math-RL-Verified/olympiads | Give the set of integer solutions to |x| = 2. | {-2,2} | set | set | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Give the set of integer solutions to |x| = 2.
Reasoning token: <|MASKED name="reasoning_token" desc="solve directly from the problem statement"|><|/MASKED|>
Answer token: <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000082 | Big-Math-RL-Verified/olympiads | Solve 2x >= 6. Give the answer in interval notation. | [3,\infty) | interval | inequality | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Solve and fill the last field. Solve 2x >= 6. Give the answer in interval notation.
Field 1: <|MASKED name="field_1" desc="solve directly from the problem statement"|><|/MASKED|>
Field 2: <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000083 | Big-Math-RL-Verified/cn_k12 | 袋子里有2个红球和3个蓝球，随机摸出1个球，摸到红球的概率是多少？ | \frac{2}{5} | latex | cn_k12_probability | medium | solve directly from the problem statement | zh | <|GIM_QUERY|>袋子里有2个红球和3个蓝球，随机摸出1个球，摸到红球的概率是多少？
The line before the answer should establish: <|MASKED name="establish" desc="solve directly from the problem statement"|><|/MASKED|>
Answer line: <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000084 | Big-Math-RL-Verified/Orca-Math | Expand 3(x + 4). | 3x+12 | expression | expression_simplification | medium | solve directly from the problem statement | en | <|GIM_QUERY|>Given Expand 3(x + 4).
Computation capsule [<|MASKED name="capsule" desc="solve directly from the problem statement"|><|/MASKED|>]
Final capsule [<|MASKED name="answer" regex=".*"|><|/MASKED|>]<|/GIM_QUERY|> |
manual-000085 | Big-Math-RL-Verified/Orca-Math | Compute 375 + 248. | 623 | numeric | arithmetic | simple | estimate first, compute exactly, then check by inverse operation | en | <|GIM_QUERY|>Compute 375 + 248.
Select relation: <|MASKED name="selected_relation" desc="estimate first, compute exactly, then check by inverse operation"|><|/MASKED|>
Write response: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000086 | Big-Math-RL-Verified/Orca-Math | A library had 240 books. It bought 35 new books and donated 18 old books. How many books does it have now? | 257 | numeric | word_problem | medium | track inventory changes in chronological order | en | <|GIM_QUERY|>The problem is A library had 240 books. It bought 35 new books and donated 18 old books. How many books does it have now?
I need the following missing computation: <|MASKED name="missing" desc="track inventory changes in chronological order"|><|/MASKED|>
I then report <|MASKED name="answer" regex="-?\d+\.?... |
manual-000087 | Big-Math-RL-Verified/Orca-Math | Solve 7p + 5 = 40. | 5 | numeric | algebra | medium | balance equation, then substitution check | en | <|GIM_QUERY|>Solve 7p + 5 = 40.
Short proof fragment: <|MASKED name="proof_fragment" desc="balance equation, then substitution check"|><|/MASKED|>
Therefore the boxed result would be <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000088 | Big-Math-RL-Verified/Orca-Math | How many minutes are in 3.5 hours? | 210 | numeric | measurement | simple | unit conversion through known factor | en | <|GIM_QUERY|>Item: How many minutes are in 3.5 hours?
calc:<|MASKED name="calc" desc="unit conversion through known factor"|><|/MASKED|>
ans:<|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000089 | Big-Math-RL-Verified/Big-Math-Reformulated | Factor 6x + 9. | 3(2x+3) | expression | polynomial | medium | factor expression by common factor and verify by expansion | en | <|GIM_QUERY|>Factor 6x + 9.
Reasoning omitted except this mask: <|MASKED name="omitted_reason" desc="factor expression by common factor and verify by expansion"|><|/MASKED|>
The final answer is <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000090 | Big-Math-RL-Verified/Big-Math-Reformulated | Five more than twice a number is 21. What is the number? | 8 | numeric | algebra | medium | translate verbal relation to equation then solve | en | <|GIM_QUERY|>Resolve `Five more than twice a number is 21. What is the number?`.
Required clue: <|MASKED name="clue" desc="translate verbal relation to equation then solve"|><|/MASKED|>
Required final: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000091 | Big-Math-RL-Verified/Big-Math-Reformulated | What is the volume of a cube with side length s? | s^3 | latex | geometry | medium | identify formula, substitute symbols, keep exact expression | en | <|GIM_QUERY|>What is the volume of a cube with side length s?
Line 1 says what to do: <|MASKED name="line_1" desc="identify formula, substitute symbols, keep exact expression"|><|/MASKED|>
Line 2 gives the answer: <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000092 | Big-Math-RL-Verified/Big-Math-Reformulated | Find the slope of the line through (1, 2) and (5, 10). | 2 | latex | coordinate_geometry | medium | compute slope from coordinate differences and verify direction | en | <|GIM_QUERY|>From the prompt Find the slope of the line through (1, 2) and (5, 10)., derive <|MASKED name="derived_piece" desc="compute slope from coordinate differences and verify direction"|><|/MASKED|>; final answer <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000093 | Big-Math-RL-Verified/olympiads | What is the smallest positive even integer greater than 17? | 18 | numeric | number_theory | hard | use parity invariant and verify minimal case | en | <|GIM_QUERY|>What is the smallest positive even integer greater than 17?
Use this hidden result: <|MASKED name="hidden_result" desc="use parity invariant and verify minimal case"|><|/MASKED|>
Response field: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000094 | Big-Math-RL-Verified/olympiads | Simplify sin^2(x) + cos^2(x). | 1 | latex | trigonometry | medium | use identity and special angle sanity | en | <|GIM_QUERY|>Solve: Simplify sin^2(x) + cos^2(x).
Reason briefly in the slot: <|MASKED name="brief_reason" desc="use identity and special angle sanity"|><|/MASKED|>
Only final value here: <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000095 | Big-Math-RL-Verified/olympiads | A sequence is defined by a1 = 2 and a_{n+1} = a_n + 3. What is a4? | 11 | numeric | sequence | medium | detect recurrence pattern then advance terms | en | <|GIM_QUERY|>A sequence is defined by a1 = 2 and a_{n+1} = a_n + 3. What is a4?
If checking manually, start with <|MASKED name="manual_start" desc="detect recurrence pattern then advance terms"|><|/MASKED|>
Then enter <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000096 | Big-Math-RL-Verified/cn_k12 | 一个长方形的周长是34厘米，长是10厘米，宽是多少厘米？ | 7 | numeric | cn_k12_geometry | medium | infer missing side from perimeter relation | zh | <|GIM_QUERY|>Question body: 一个长方形的周长是34厘米，长是10厘米，宽是多少厘米？
Resolution body: <|MASKED name="resolution" desc="infer missing side from perimeter relation"|><|/MASKED|>
Answer body: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000097 | Big-Math-RL-Verified/cn_k12 | 数列 4, 7, 10, 13 的下一项是多少？ | 16 | numeric | cn_k12_sequence | medium | identify arithmetic pattern and extend | zh | <|GIM_QUERY|>数列 4, 7, 10, 13 的下一项是多少？
This is the decisive step: <|MASKED name="decisive_step" desc="identify arithmetic pattern and extend"|><|/MASKED|>
Decisive answer: <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000098 | Big-Math-RL-Verified/cn_k12 | 写出12的所有正因数。 | {1,2,3,4,6,12} | set | cn_k12_set | medium | enumerate divisors and write answer as set | zh | <|GIM_QUERY|>Compute/solve the following. 写出12的所有正因数。
Hidden work section begins <|MASKED name="hidden_work_section" desc="enumerate divisors and write answer as set"|><|/MASKED|> hidden work section ends.
Final section begins <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000099 | Big-Math-RL-Verified/Big-Math-Reformulated | Solve -1 < x < 4. Give the solution in interval notation. | (-1,4) | interval | interval | medium | solve compound inequality and express interval | en | <|GIM_QUERY|>Solve -1 < x < 4. Give the solution in interval notation.
Reasoning field may be sentence-like: <|MASKED name="sentence_reason" desc="solve compound inequality and express interval"|><|/MASKED|>
Final field may be terse: <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000100 | Big-Math-RL-Verified/Orca-Math | A meal costs $18 and a tip of $3 is added. What is the total cost? | 21 | numeric | money | medium | separate subtotal, tax-like addition, and total check | en | <|GIM_QUERY|>Fill two blanks for: A meal costs $18 and a tip of $3 is added. What is the total cost?
blank one = <|MASKED name="blank_one" desc="separate subtotal, tax-like addition, and total check"|><|/MASKED|>
blank two = <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000101 | Big-Math-RL-Verified/aops_forum | What is the area of a semicircle with radius 6? | 18\pi | latex | geometry | medium | translate geometric description to formula and verify dimensions | en | <|GIM_QUERY|>What is the area of a semicircle with radius 6?
<|MASKED name="move" desc="translate geometric description to formula and verify dimensions"|><|/MASKED|> Therefore <|MASKED name="answer" regex=".*"|><|/MASKED|><|/GIM_QUERY|> |
manual-000102 | Big-Math-RL-Verified/aops_forum | How many positive divisors does 72 have? | 12 | numeric | number_theory | hard | prime factorize then reason from exponent choices | en | <|GIM_QUERY|>Task: How many positive divisors does 72 have?
Computation: <|MASKED name="calculation" desc="prime factorize then reason from exponent choices"|><|/MASKED|>
Result -> <|MASKED name="answer" regex="-?\d+\.?\d*"|><|/MASKED|><|/GIM_QUERY|> |
End of preview. Expand in Data Studio
GIM Query Cold Start Mimo v2.5 Pass@3
This dataset contains manually curated GIM query cold-start examples for training a reasoning template generator.
Contents
- Split:
train - Rows: 2,631
- Source candidate pool: 2,400 original examples plus 500 archive-derived problem-and-reasoning-slot candidates
- Upload filter: valid GIM format and accepted by
mimo-v2.5solver screening under pass@3 - Multi-slot expansion: 980 accepted rows with 3-8 MASKED slots
Screening
The candidate rows were evaluated with gimkit.from_openai using:
- model:
mimo-v2.5 output_type="json"use_gim_prompt=Truek=3- stop after first correct attempt
- random request delay: 0-0.25 seconds
- correctness:
math_verify, followed by conservative normalization for equivalent mathematical forms
Original 1,400-row screening:
- pass@3: 1,322
- failed@3: 78
- pass@3 rate: 94.43%
Multi-slot 1,000-row expansion:
- raw pass@3: 894
- reviewed pass@3: 980
- failed after review: 20
- model attempts: 1,274, all JSON-valid
The offline review only re-scores saved model responses. It handles equivalent radicals, fractions, pi notation, intervals, units, and symbolic expressions. It does not accept missing coordinate components, missing integration constants, option letters in place of values, or incorrect calculations.
Fields
Each row has clean training/release fields only:
idsourceproblemansweranswer_typedomaindifficultyreasoning_patternlanguagegim_query
No validation metadata, solver responses, or pass@3 metadata fields are included in the uploaded rows.
Intended Use
Use gim_query as the supervised target for cold-start training of a GIM query or reasoning-template generator.
Archive Reasoning-Slot Expansion
An additional 500 candidates were constructed from successful reasoning-paradigm experiments in the project archive. Each GIM query contains the complete original problem followed immediately by adjacent MASKED slots. The original problem is the only fixed content; there is no visible separator text between slots. Training and runtime therefore use the same self-contained query contract.
A data-contract bug in the first upload omitted the problem from these supervised targets even though screening prepended it at runtime. This was corrected on June 23, 2026. The selected IDs and pass@3 results did not change because the corrected query matches the context used during screening.
- candidates: 500
- complete original problem in query: 500 / 500
- no fixed text between reasoning slots: 500 / 500
- non-answer slot descriptions checked for gold-answer leakage: 2,737 / 2,737 passed
- slots per query: 5-8
- valid GIM format: 500 / 500
- corrected self-contained-query Mimo v2.5 pass@3: 329 / 500 (65.80%)
- failed at pass@3: 171
- model attempts: 925
- JSON/GIM parseable attempts: 706 / 925 (76.32%)
- maximum output tokens: 4096
- random request delay: 0-0.25 seconds
Only the 329 corrected-query strict pass@3 rows were appended. The resulting train split contains 2,631 unique IDs and 2,631 unique problem-query pairs.
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