id int64 1 735k | topic stringclasses 11
values | difficulty stringclasses 2
values | question stringlengths 12 91 | answer stringlengths 1 11 | reasoning stringlengths 20 98 | category stringclasses 19
values |
|---|---|---|---|---|---|---|
1 | arithmetic | easy | What is 1900 / 5? | 380 | Divide: 1900 ÷ 5 = 380 because 5*380=1900. | division |
2 | percentages | easy | What is 18% of 755? | 135.9 | Calculate 18/100 * 755 = 0.18*755 = 135.9. | percentages |
3 | arithmetic | easy | What is 33440 / 88? | 380 | Divide: 33440 ÷ 88 = 380 because 88*380=33440. | division |
4 | calculus | medium | What is the indefinite integral of x^1 dx? | x^2/2 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^1 = x^2/2 + C. | integral |
5 | arithmetic | easy | What is 78 * 4? | 312 | Multiply: 78 * 4 = 312. | basic_operations |
6 | calculus | medium | What is the indefinite integral of x^2 dx? | x^3/3 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^2 = x^3/3 + C. | integral |
7 | word_problems | easy | If you have 80 apples and you buy 18 more apples, how many apples do you have in total? | 98 | Add initial 80 plus bought 18: 80+18=98. | addition_word |
8 | algebra | medium | Solve for x: x^2 - 3x = 0 | x = 3, 0 | Factor: (x - 3)(x - 0) = x^2 -(3)x + 0 = 0. So x = 3 or 0. Check sum = 3, product = 0. | quadratic |
9 | geometry | easy | Find the perimeter of a rectangle with length 28 and width 98. | 252 | Perimeter = 2*(length+width) = 2*(28+98) = 2*126 = 252. | rectangle_perim |
10 | roots | easy | What is the square root of 49? | 7 | Find number that when squared gives 49. 7*7=49, so sqrt(49)=7. | square_roots |
11 | arithmetic | easy | What is 390 - 100? | 290 | Subtract: 390 - 100 = 290. | basic_operations |
12 | arithmetic | easy | What is 748 + 471? | 1219 | Add the two numbers: 748 + 471 = 1219. | basic_operations |
13 | calculus | medium | What is the derivative of 9x^2 with respect to x? | 18x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^2] = 9*2*x^1 = 18x. | derivative |
14 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
15 | fractions | medium | What is 3/3 + 8/11? Give as simplified fraction. | 19/11 | Common denominator 3*11=33. 3/3=33/33, 8/11=24/33. Sum = 57/33 = 19/11 simplified. | fraction_operations |
16 | percentages | easy | What is 13% of 390? | 50.7 | Calculate 13/100 * 390 = 0.13*390 = 50.7. | percentages |
17 | geometry | easy | Find the circumference of a circle with radius 41. Use pi=3.14159, round to 2 decimals. | 257.61 | Circumference = 2*pi*r = 2*3.14159*41 = 257.61. | circle_circum |
18 | number_theory | medium | What is the LCM (least common multiple) of 21 and 48? | 336 | LCM = |21*48| / GCD(21,48). GCD=3, so LCM=1008/3=336. | lcm |
19 | fractions | medium | What is 9/4 * 20/7? Give as simplified fraction. | 45/7 | Multiply numerators: 9*20=180. Denominators: 4*7=28. Simplify by gcd 4 to get 45/7. | fraction_operations |
20 | percentages | easy | What is 21% of 474? | 99.54 | Calculate 21/100 * 474 = 0.21*474 = 99.54. | percentages |
21 | calculus | medium | What is the derivative of 9x^4 with respect to x? | 36x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^4] = 9*4*x^3 = 36x^3. | derivative |
22 | percentages | easy | What is 88% of 333? | 293.04 | Calculate 88/100 * 333 = 0.88*333 = 293.04. | percentages |
23 | arithmetic | easy | What is 842 - 235? | 607 | Subtract: 842 - 235 = 607. | basic_operations |
24 | arithmetic | easy | What is 41 * 28? | 1148 | Multiply: 41 * 28 = 1148. | basic_operations |
25 | calculus | medium | What is the derivative of 8x^7 with respect to x? | 56x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^7] = 8*7*x^6 = 56x^6. | derivative |
26 | algebra | easy | Solve for x: 9x - 33 = -78 | -5 | Add 33 to both sides: 9x = -78+33=-45. Then x = -45/9 = -5. | linear_equation |
27 | geometry | easy | Find the area of a triangle with base 55 and height 75. | 2062.5 | Area = 0.5*base*height = 0.5*55*75 = 2062.5. | triangle_area |
28 | calculus | medium | What is the derivative of 4x^4 with respect to x? | 16x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^4] = 4*4*x^3 = 16x^3. | derivative |
29 | algebra | easy | Solve for x: 17x + 13 = -242 | -15 | Subtract 13 from both sides: 17x = -242-13=-255. Then divide by 17: x = -255/17 = -15. | linear_equation |
30 | arithmetic | easy | What is 21 * 88? | 1848 | Multiply: 21 * 88 = 1848. | basic_operations |
31 | arithmetic | easy | What is 395 - 391? | 4 | Subtract: 395 - 391 = 4. | basic_operations |
32 | arithmetic | easy | What is 69 + 97 * 15? Remember order of operations. | 1524 | Order of operations (PEMDAS): first 97*15=1455, then 69+1455=1524. | basic_operations |
33 | roots | easy | What is the square root of 64? | 8 | Find number that when squared gives 64. 8*8=64, so sqrt(64)=8. | square_roots |
34 | exponents | easy | What is 8^3? | 512 | 8^3 means multiply 8 by itself 3 times: 8*8*8 = 512. | exponents |
35 | word_problems | easy | If you have 5 dollars and you buy 47 more dollars, how many dollars do you have in total? | 52 | Add initial 5 plus bought 47: 5+47=52. | addition_word |
36 | algebra | medium | Solve for x: x^2 + 1x - 42 = 0 | x = 6, -7 | Factor: (x - 6)(x - -7) = x^2 -(-1)x + -42 = 0. So x = 6 or -7. Check sum = -1, product = -42. | quadratic |
37 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
38 | algebra | easy | Solve for x: 12x + 47 = -73 | -10 | Subtract 47 from both sides: 12x = -73-47=-120. Then divide by 12: x = -120/12 = -10. | linear_equation |
39 | arithmetic | easy | What is 614 + 332 * 63? Remember order of operations. | 21530 | Order of operations (PEMDAS): first 332*63=20916, then 614+20916=21530. | basic_operations |
40 | number_theory | medium | What is the GCD (greatest common divisor) of 40 and 31? | 1 | Find greatest number dividing both 40 and 31. Divisors common, greatest is 1. | gcd |
41 | percentages | easy | What is 73% of 970? | 708.1 | Calculate 73/100 * 970 = 0.73*970 = 708.1. | percentages |
42 | arithmetic | easy | What is 88 + 750? | 838 | Add the two numbers: 88 + 750 = 838. | basic_operations |
43 | algebra | easy | Solve for x: 5x + 34 = 84 | 10 | Subtract 34 from both sides: 5x = 84-34=50. Then divide by 5: x = 50/5 = 10. | linear_equation |
44 | algebra | medium | Solve for x: x^2 - 4x - 12 = 0 | x = -2, 6 | Factor: (x - -2)(x - 6) = x^2 -(4)x + -12 = 0. So x = -2 or 6. Check sum = 4, product = -12. | quadratic |
45 | calculus | medium | What is the indefinite integral of x^2 dx? | x^3/3 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^2 = x^3/3 + C. | integral |
46 | fractions | medium | What is 10/14 * 12/16? Give as simplified fraction. | 15/28 | Multiply numerators: 10*12=120. Denominators: 14*16=224. Simplify by gcd 8 to get 15/28. | fraction_operations |
47 | word_problems | easy | If you have 20 books and you buy 16 more books, how many books do you have in total? | 36 | Add initial 20 plus bought 16: 20+16=36. | addition_word |
48 | arithmetic | easy | What is 30 + 76 * 76? Remember order of operations. | 5806 | Order of operations (PEMDAS): first 76*76=5776, then 30+5776=5806. | basic_operations |
49 | arithmetic | easy | What is 725 + 647 * 8? Remember order of operations. | 5901 | Order of operations (PEMDAS): first 647*8=5176, then 725+5176=5901. | basic_operations |
50 | arithmetic | easy | What is 31 * 36? | 1116 | Multiply: 31 * 36 = 1116. | basic_operations |
51 | fractions | medium | What is 18/6 - 19/20? Give as simplified fraction. | 41/20 | Common denominator 120. Numerator 360-114=246. So 246/120 simplifies to 41/20. | fraction_operations |
52 | percentages | easy | What is 61% of 827? | 504.47 | Calculate 61/100 * 827 = 0.61*827 = 504.47. | percentages |
53 | calculus | medium | What is the indefinite integral of x^2 dx? | x^3/3 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^2 = x^3/3 + C. | integral |
54 | arithmetic | easy | What is 4732 / 14? | 338 | Divide: 4732 ÷ 14 = 338 because 14*338=4732. | division |
55 | calculus | medium | What is the indefinite integral of x^4 dx? | x^5/5 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^4 = x^5/5 + C. | integral |
56 | word_problems | easy | If you have 98 apples and you buy 4 more apples, how many apples do you have in total? | 102 | Add initial 98 plus bought 4: 98+4=102. | addition_word |
57 | arithmetic | easy | What is 413 + 746 * 44? Remember order of operations. | 33237 | Order of operations (PEMDAS): first 746*44=32824, then 413+32824=33237. | basic_operations |
58 | fractions | medium | What is 18/16 + 5/15? Give as simplified fraction. | 35/24 | Common denominator 16*15=240. 18/16=270/240, 5/15=80/240. Sum = 350/240 = 35/24 simplified. | fraction_operations |
59 | geometry | easy | Find the circumference of a circle with radius 16. Use pi=3.14159, round to 2 decimals. | 100.53 | Circumference = 2*pi*r = 2*3.14159*16 = 100.53. | circle_circum |
60 | arithmetic | easy | What is 454 + 828 * 71? Remember order of operations. | 59242 | Order of operations (PEMDAS): first 828*71=58788, then 454+58788=59242. | basic_operations |
61 | arithmetic | easy | What is 993 + 96 * 97? Remember order of operations. | 10305 | Order of operations (PEMDAS): first 96*97=9312, then 993+9312=10305. | basic_operations |
62 | statistics | easy | What is the mean (average) of 28, 52, 8, 22? | 27.5 | Mean = sum/count. Sum = 28+52+8+22=110. Count=4. Mean=110/4=27.5. | mean |
63 | calculus | medium | What is the derivative of 7x^2 with respect to x? | 14x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^2] = 7*2*x^1 = 14x. | derivative |
64 | geometry | easy | Find the circumference of a circle with radius 19. Use pi=3.14159, round to 2 decimals. | 119.38 | Circumference = 2*pi*r = 2*3.14159*19 = 119.38. | circle_circum |
65 | calculus | medium | What is the indefinite integral of x^6 dx? | x^7/7 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^6 = x^7/7 + C. | integral |
66 | statistics | easy | What is the mean (average) of 25, 38, 28? | 30.33 | Mean = sum/count. Sum = 25+38+28=91. Count=3. Mean=91/3=30.33. | mean |
67 | arithmetic | easy | What is 594 + 754? | 1348 | Add the two numbers: 594 + 754 = 1348. | basic_operations |
68 | arithmetic | easy | What is 68 + 21 * 62? Remember order of operations. | 1370 | Order of operations (PEMDAS): first 21*62=1302, then 68+1302=1370. | basic_operations |
69 | arithmetic | easy | What is 9 * 87? | 783 | Multiply: 9 * 87 = 783. | basic_operations |
70 | calculus | medium | What is the derivative of 10x^2 with respect to x? | 20x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^2] = 10*2*x^1 = 20x. | derivative |
71 | percentages | easy | What is 75% of 609? | 456.75 | Calculate 75/100 * 609 = 0.75*609 = 456.75. | percentages |
72 | arithmetic | easy | What is 75 * 73? | 5475 | Multiply: 75 * 73 = 5475. | basic_operations |
73 | geometry | easy | Find the perimeter of a rectangle with length 86 and width 92. | 356 | Perimeter = 2*(length+width) = 2*(86+92) = 2*178 = 356. | rectangle_perim |
74 | roots | easy | What is the square root of 256? | 16 | Find number that when squared gives 256. 16*16=256, so sqrt(256)=16. | square_roots |
75 | geometry | easy | Find the circumference of a circle with radius 9. Use pi=3.14159, round to 2 decimals. | 56.55 | Circumference = 2*pi*r = 2*3.14159*9 = 56.55. | circle_circum |
76 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
77 | arithmetic | easy | What is 13 * 10? | 130 | Multiply: 13 * 10 = 130. | basic_operations |
78 | geometry | easy | Find the perimeter of a rectangle with length 45 and width 9. | 108 | Perimeter = 2*(length+width) = 2*(45+9) = 2*54 = 108. | rectangle_perim |
79 | percentages | easy | What is 48% of 292? | 140.16 | Calculate 48/100 * 292 = 0.48*292 = 140.16. | percentages |
80 | algebra | medium | Solve for x: x^2 - 11x + 28 = 0 | x = 4, 7 | Factor: (x - 4)(x - 7) = x^2 -(11)x + 28 = 0. So x = 4 or 7. Check sum = 11, product = 28. | quadratic |
81 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
82 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
83 | algebra | easy | Solve for x: 9x - 36 = -162 | -14 | Add 36 to both sides: 9x = -162+36=-126. Then x = -126/9 = -14. | linear_equation |
84 | algebra | easy | Solve for x: 9x - 14 = 148 | 18 | Add 14 to both sides: 9x = 148+14=162. Then x = 162/9 = 18. | linear_equation |
85 | fractions | medium | What is 11/8 - 9/18? Give as simplified fraction. | 7/8 | Common denominator 144. Numerator 198-72=126. So 126/144 simplifies to 7/8. | fraction_operations |
86 | geometry | easy | Find the area of a rectangle with length 12 and width 82. | 984 | Area = length * width = 12*82 = 984. | rectangle_area |
87 | calculus | medium | What is the indefinite integral of x^7 dx? | x^8/8 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^7 = x^8/8 + C. | integral |
88 | geometry | easy | Find the area of a rectangle with length 1 and width 43. | 43 | Area = length * width = 1*43 = 43. | rectangle_area |
89 | algebra | easy | Solve for x: 9x - 30 = 42 | 8 | Add 30 to both sides: 9x = 42+30=72. Then x = 72/9 = 8. | linear_equation |
90 | calculus | medium | What is the indefinite integral of x^5 dx? | x^6/6 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^5 = x^6/6 + C. | integral |
91 | arithmetic | easy | What is 115 + 78? | 193 | Add the two numbers: 115 + 78 = 193. | basic_operations |
92 | number_theory | medium | What is the GCD (greatest common divisor) of 75 and 71? | 1 | Find greatest number dividing both 75 and 71. Divisors common, greatest is 1. | gcd |
93 | calculus | medium | What is the indefinite integral of x^2 dx? | x^3/3 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^2 = x^3/3 + C. | integral |
94 | arithmetic | easy | What is 374 + 316 * 6? Remember order of operations. | 2270 | Order of operations (PEMDAS): first 316*6=1896, then 374+1896=2270. | basic_operations |
95 | percentages | easy | What is 86% of 106? | 91.16 | Calculate 86/100 * 106 = 0.86*106 = 91.16. | percentages |
96 | number_theory | medium | What is the LCM (least common multiple) of 100 and 72? | 1800 | LCM = |100*72| / GCD(100,72). GCD=4, so LCM=7200/4=1800. | lcm |
97 | algebra | easy | Solve for x: 8x - 30 = -102 | -9 | Add 30 to both sides: 8x = -102+30=-72. Then x = -72/8 = -9. | linear_equation |
98 | calculus | medium | What is the indefinite integral of x^1 dx? | x^2/2 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^1 = x^2/2 + C. | integral |
99 | algebra | medium | Solve for x: x^2 - 3x = 0 | x = 0, 3 | Factor: (x - 0)(x - 3) = x^2 -(3)x + 0 = 0. So x = 0 or 3. Check sum = 3, product = 0. | quadratic |
100 | percentages | easy | What is 35% of 164? | 57.4 | Calculate 35/100 * 164 = 0.35*164 = 57.4. | percentages |
End of preview. Expand in Data Studio
Math Teaching Dataset - 100MB / 735k Rows
A large math dataset designed for training and fine-tuning AI models with step-by-step reasoning.
Files
math_dataset_100MB.csv- Full dataset, 100.33 MB, 735,000 rowsmath_dataset_100MB.csv.gz- Compressed version, 18.95 MBsplits/math_part_1.csvtomath_part_10.csv- 10 x ~10MB chunks
Dataset Stats
- Total rows: 735,000
- Size: 100.33 MB raw, 18.95 MB gzipped
- Format: CSV, UTF-8, with header
Topic Distribution
| Topic | Count | Description |
|---|---|---|
| arithmetic | 184,304 | Addition, subtraction, multiplication, division, order of operations |
| algebra | 91,880 | Linear equations and quadratics |
| calculus | 91,675 | Basic derivatives and integrals |
| geometry | 46,373 | Area and perimeter of rectangles, circles, triangles |
| exponents | 46,303 | Powers |
| word_problems | 45,929 | Applied addition problems |
| statistics | 45,920 | Mean / average |
| percentages | 45,857 | Percentage calculations |
| number_theory | 45,789 | GCD and LCM |
| roots | 45,567 | Square roots |
| fractions | 45,403 | Fraction addition, subtraction, multiplication |
Difficulty
easy- single-step problemsmedium- multi-step problems
Schema
| Column | Type | Description |
|---|---|---|
id |
int | Unique row ID |
topic |
string | High-level topic |
difficulty |
string | easy or medium |
question |
string | The math problem |
answer |
string | Final answer |
reasoning |
string | Step-by-step explanation |
category |
string | Specific sub-type of problem |
Example Rows
"What is 1900 / 5?" -> Answer: 380 Reasoning: "Divide: 1900 ÷ 5 = 380 because 5*380=1900."
"Solve for x: 12x + 15 = 87" -> Answer: 6 Reasoning: "Subtract 15 from both sides: 12x = 72. Then divide by 12: x = 6."
"What is 3/4 + 2/5?" -> Answer: "23/20" Reasoning: "Common denominator 20. 3/4=15/20, 2/5=8/20. Sum = 23/20."
"What is the derivative of 7x^5 with respect to x?" -> Answer: "35x^4" Reasoning: "Power rule: d/dx [x^n] = nx^(n-1). So 75*x^4 = 35x^4."
Intended Use
Built for instruction tuning and chain-of-thought training.
Recommended training format: Input: {question} Target: {reasoning} Answer: {answer}
Works for:
- Fine-tuning language models for math reasoning
- Teaching step-by-step problem solving
- Evaluating math capabilities
- Data augmentation alongside other math datasets
License
open-data-attribution-training-disclosure-license-odatl-1.0
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