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 |
|---|---|---|---|---|---|---|
13,401 | arithmetic | easy | What is 20 * 42? | 840 | Multiply: 20 * 42 = 840. | basic_operations |
13,402 | fractions | medium | What is 11/15 * 5/16? Give as simplified fraction. | 11/48 | Multiply numerators: 11*5=55. Denominators: 15*16=240. Simplify by gcd 5 to get 11/48. | fraction_operations |
13,403 | percentages | easy | What is 81% of 827? | 669.87 | Calculate 81/100 * 827 = 0.81*827 = 669.87. | percentages |
13,404 | statistics | easy | What is the mean (average) of 62, 49, 43, 34? | 47 | Mean = sum/count. Sum = 62+49+43+34=188. Count=4. Mean=188/4=47.0. | mean |
13,405 | arithmetic | easy | What is 230 - 138? | 92 | Subtract: 230 - 138 = 92. | basic_operations |
13,406 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
13,407 | fractions | medium | What is 15/10 * 1/6? Give as simplified fraction. | 1/4 | Multiply numerators: 15*1=15. Denominators: 10*6=60. Simplify by gcd 15 to get 1/4. | fraction_operations |
13,408 | algebra | medium | Solve for x: x^2 - 4x + 3 = 0 | x = 3, 1 | Factor: (x - 3)(x - 1) = x^2 -(4)x + 3 = 0. So x = 3 or 1. Check sum = 4, product = 3. | quadratic |
13,409 | calculus | medium | What is the indefinite integral of x^3 dx? | x^4/4 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^3 = x^4/4 + C. | integral |
13,410 | algebra | medium | Solve for x: x^2 - 5x - 24 = 0 | x = 8, -3 | Factor: (x - 8)(x - -3) = x^2 -(5)x + -24 = 0. So x = 8 or -3. Check sum = 5, product = -24. | quadratic |
13,411 | calculus | medium | What is the derivative of 6x^5 with respect to x? | 30x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^5] = 6*5*x^4 = 30x^4. | derivative |
13,412 | calculus | medium | What is the derivative of 8x^3 with respect to x? | 24x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^3] = 8*3*x^2 = 24x^2. | derivative |
13,413 | number_theory | medium | What is the LCM (least common multiple) of 98 and 33? | 3234 | LCM = |98*33| / GCD(98,33). GCD=1, so LCM=3234/1=3234. | lcm |
13,414 | geometry | easy | Find the area of a rectangle with length 30 and width 100. | 3000 | Area = length * width = 30*100 = 3000. | rectangle_area |
13,415 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
13,416 | word_problems | easy | If you have 51 dollars and you buy 40 more dollars, how many dollars do you have in total? | 91 | Add initial 51 plus bought 40: 51+40=91. | addition_word |
13,417 | 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 |
13,418 | calculus | medium | What is the derivative of 5x^7 with respect to x? | 35x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^7] = 5*7*x^6 = 35x^6. | derivative |
13,419 | algebra | medium | Solve for x: x^2 + 14x + 45 = 0 | x = -5, -9 | Factor: (x - -5)(x - -9) = x^2 -(-14)x + 45 = 0. So x = -5 or -9. Check sum = -14, product = 45. | quadratic |
13,420 | geometry | easy | Find the circumference of a circle with radius 3. Use pi=3.14159, round to 2 decimals. | 18.85 | Circumference = 2*pi*r = 2*3.14159*3 = 18.85. | circle_circum |
13,421 | roots | easy | What is the square root of 289? | 17 | Find number that when squared gives 289. 17*17=289, so sqrt(289)=17. | square_roots |
13,422 | geometry | easy | Find the circumference of a circle with radius 26. Use pi=3.14159, round to 2 decimals. | 163.36 | Circumference = 2*pi*r = 2*3.14159*26 = 163.36. | circle_circum |
13,423 | number_theory | medium | What is the GCD (greatest common divisor) of 65 and 91? | 13 | Find greatest number dividing both 65 and 91. Divisors common, greatest is 13. | gcd |
13,424 | arithmetic | easy | What is 84 * 60? | 5040 | Multiply: 84 * 60 = 5040. | basic_operations |
13,425 | algebra | medium | Solve for x: x^2 + 5x - 36 = 0 | x = 4, -9 | Factor: (x - 4)(x - -9) = x^2 -(-5)x + -36 = 0. So x = 4 or -9. Check sum = -5, product = -36. | quadratic |
13,426 | geometry | easy | Find the perimeter of a rectangle with length 66 and width 70. | 272 | Perimeter = 2*(length+width) = 2*(66+70) = 2*136 = 272. | rectangle_perim |
13,427 | roots | easy | What is the square root of 2209? | 47 | Find number that when squared gives 2209. 47*47=2209, so sqrt(2209)=47. | square_roots |
13,428 | algebra | easy | Solve for x: 17x + 7 = -265 | -16 | Subtract 7 from both sides: 17x = -265-7=-272. Then divide by 17: x = -272/17 = -16. | linear_equation |
13,429 | number_theory | medium | What is the GCD (greatest common divisor) of 99 and 89? | 1 | Find greatest number dividing both 99 and 89. Divisors common, greatest is 1. | gcd |
13,430 | geometry | easy | Find the area of a circle with radius 15. Use pi=3.14159, round to 2 decimals. | 706.86 | Area = pi*r^2 = 3.14159*15^2 = 3.14159*225 = 706.86. | circle_area |
13,431 | arithmetic | easy | What is 89 * 85? | 7565 | Multiply: 89 * 85 = 7565. | basic_operations |
13,432 | percentages | easy | What is 71% of 326? | 231.46 | Calculate 71/100 * 326 = 0.71*326 = 231.46. | percentages |
13,433 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
13,434 | geometry | easy | Find the area of a rectangle with length 20 and width 79. | 1580 | Area = length * width = 20*79 = 1580. | rectangle_area |
13,435 | geometry | easy | Find the area of a triangle with base 98 and height 1. | 49 | Area = 0.5*base*height = 0.5*98*1 = 49. | triangle_area |
13,436 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
13,437 | arithmetic | easy | What is 730 + 553 * 58? Remember order of operations. | 32804 | Order of operations (PEMDAS): first 553*58=32074, then 730+32074=32804. | basic_operations |
13,438 | geometry | easy | Find the perimeter of a rectangle with length 63 and width 22. | 170 | Perimeter = 2*(length+width) = 2*(63+22) = 2*85 = 170. | rectangle_perim |
13,439 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
13,440 | arithmetic | easy | What is 2888 divided by 16? Give answer to 2 decimal places. | 180.5 | Calculate 2888/ 16 = 180.5000, rounded to 2 decimals is 180.5. | division |
13,441 | fractions | medium | What is 16/19 - 3/12? Give as simplified fraction. | 45/76 | Common denominator 228. Numerator 192-57=135. So 135/228 simplifies to 45/76. | fraction_operations |
13,442 | arithmetic | easy | What is 4298 divided by 53? Give answer to 2 decimal places. | 81.09 | Calculate 4298/ 53 = 81.0943, rounded to 2 decimals is 81.09. | division |
13,443 | fractions | medium | What is 13/17 * 3/9? Give as simplified fraction. | 13/51 | Multiply numerators: 13*3=39. Denominators: 17*9=153. Simplify by gcd 3 to get 13/51. | fraction_operations |
13,444 | statistics | easy | What is the mean (average) of 9, 38, 3? | 16.67 | Mean = sum/count. Sum = 9+38+3=50. Count=3. Mean=50/3=16.67. | mean |
13,445 | fractions | medium | What is 3/20 - 4/14? Give as simplified fraction. | -19/140 | Common denominator 280. Numerator 42-80=-38. So -38/280 simplifies to -19/140. | fraction_operations |
13,446 | 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 |
13,447 | arithmetic | easy | What is 4892 divided by 56? Give answer to 2 decimal places. | 87.36 | Calculate 4892/ 56 = 87.3571, rounded to 2 decimals is 87.36. | division |
13,448 | 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 |
13,449 | calculus | medium | What is the derivative of 2x^3 with respect to x? | 6x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^3] = 2*3*x^2 = 6x^2. | derivative |
13,450 | algebra | easy | Solve for x: 6x - 11 = 43 | 9 | Add 11 to both sides: 6x = 43+11=54. Then x = 54/6 = 9. | linear_equation |
13,451 | algebra | medium | Solve for x: x^2 + 8x + 12 = 0 | x = -6, -2 | Factor: (x - -6)(x - -2) = x^2 -(-8)x + 12 = 0. So x = -6 or -2. Check sum = -8, product = 12. | quadratic |
13,452 | statistics | easy | What is the mean (average) of 84, 71, 55, 57? | 66.75 | Mean = sum/count. Sum = 84+71+55+57=267. Count=4. Mean=267/4=66.75. | mean |
13,453 | arithmetic | easy | What is 704 - 467? | 237 | Subtract: 704 - 467 = 237. | basic_operations |
13,454 | arithmetic | easy | What is 74 * 46? | 3404 | Multiply: 74 * 46 = 3404. | basic_operations |
13,455 | algebra | easy | Solve for x: 11x + 8 = 162 | 14 | Subtract 8 from both sides: 11x = 162-8=154. Then divide by 11: x = 154/11 = 14. | linear_equation |
13,456 | number_theory | medium | What is the GCD (greatest common divisor) of 89 and 23? | 1 | Find greatest number dividing both 89 and 23. Divisors common, greatest is 1. | gcd |
13,457 | roots | easy | What is the square root of 100? | 10 | Find number that when squared gives 100. 10*10=100, so sqrt(100)=10. | square_roots |
13,458 | arithmetic | easy | What is 27 + 804 * 80? Remember order of operations. | 64347 | Order of operations (PEMDAS): first 804*80=64320, then 27+64320=64347. | basic_operations |
13,459 | arithmetic | easy | What is 229 + 796 * 57? Remember order of operations. | 45601 | Order of operations (PEMDAS): first 796*57=45372, then 229+45372=45601. | basic_operations |
13,460 | geometry | easy | Find the perimeter of a rectangle with length 37 and width 62. | 198 | Perimeter = 2*(length+width) = 2*(37+62) = 2*99 = 198. | rectangle_perim |
13,461 | arithmetic | easy | What is 1780 / 10? | 178 | Divide: 1780 ÷ 10 = 178 because 10*178=1780. | division |
13,462 | algebra | medium | Solve for x: x^2 + 1x - 56 = 0 | x = -8, 7 | Factor: (x - -8)(x - 7) = x^2 -(-1)x + -56 = 0. So x = -8 or 7. Check sum = -1, product = -56. | quadratic |
13,463 | arithmetic | easy | What is 12665 divided by 74? Give answer to 2 decimal places. | 171.15 | Calculate 12665/ 74 = 171.1486, rounded to 2 decimals is 171.15. | division |
13,464 | arithmetic | easy | What is 801 - 619? | 182 | Subtract: 801 - 619 = 182. | basic_operations |
13,465 | 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 |
13,466 | statistics | easy | What is the mean (average) of 55, 86, 78, 26, 15? | 52 | Mean = sum/count. Sum = 55+86+78+26+15=260. Count=5. Mean=260/5=52.0. | mean |
13,467 | fractions | medium | What is 4/14 + 10/12? Give as simplified fraction. | 47/42 | Common denominator 14*12=168. 4/14=48/168, 10/12=140/168. Sum = 188/168 = 47/42 simplified. | fraction_operations |
13,468 | fractions | medium | What is 7/14 - 10/7? Give as simplified fraction. | -13/14 | Common denominator 98. Numerator 49-140=-91. So -91/98 simplifies to -13/14. | fraction_operations |
13,469 | roots | easy | What is the square root of 1? | 1 | Find number that when squared gives 1. 1*1=1, so sqrt(1)=1. | square_roots |
13,470 | percentages | easy | What is 47% of 251? | 117.97 | Calculate 47/100 * 251 = 0.47*251 = 117.97. | percentages |
13,471 | percentages | easy | What is 89% of 941? | 837.49 | Calculate 89/100 * 941 = 0.89*941 = 837.49. | percentages |
13,472 | algebra | medium | Solve for x: x^2 + 17x + 72 = 0 | x = -8, -9 | Factor: (x - -8)(x - -9) = x^2 -(-17)x + 72 = 0. So x = -8 or -9. Check sum = -17, product = 72. | quadratic |
13,473 | arithmetic | easy | What is 3816 divided by 22? Give answer to 2 decimal places. | 173.45 | Calculate 3816/ 22 = 173.4545, rounded to 2 decimals is 173.45. | division |
13,474 | word_problems | easy | If you have 46 pencils and you buy 50 more pencils, how many pencils do you have in total? | 96 | Add initial 46 plus bought 50: 46+50=96. | addition_word |
13,475 | arithmetic | easy | What is 78 * 46? | 3588 | Multiply: 78 * 46 = 3588. | basic_operations |
13,476 | word_problems | easy | If you have 65 books and you buy 3 more books, how many books do you have in total? | 68 | Add initial 65 plus bought 3: 65+3=68. | addition_word |
13,477 | arithmetic | easy | What is 37583 / 91? | 413 | Divide: 37583 ÷ 91 = 413 because 91*413=37583. | division |
13,478 | number_theory | medium | What is the GCD (greatest common divisor) of 55 and 69? | 1 | Find greatest number dividing both 55 and 69. Divisors common, greatest is 1. | gcd |
13,479 | number_theory | medium | What is the GCD (greatest common divisor) of 71 and 26? | 1 | Find greatest number dividing both 71 and 26. Divisors common, greatest is 1. | gcd |
13,480 | arithmetic | easy | What is 69 + 921? | 990 | Add the two numbers: 69 + 921 = 990. | basic_operations |
13,481 | number_theory | medium | What is the LCM (least common multiple) of 50 and 25? | 50 | LCM = |50*25| / GCD(50,25). GCD=25, so LCM=1250/25=50. | lcm |
13,482 | statistics | easy | What is the mean (average) of 66, 66, 88, 30, 56? | 61.2 | Mean = sum/count. Sum = 66+66+88+30+56=306. Count=5. Mean=306/5=61.2. | mean |
13,483 | 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 |
13,484 | 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 |
13,485 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
13,486 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
13,487 | arithmetic | easy | What is 678 + 414? | 1092 | Add the two numbers: 678 + 414 = 1092. | basic_operations |
13,488 | word_problems | easy | If you have 29 books and you buy 37 more books, how many books do you have in total? | 66 | Add initial 29 plus bought 37: 29+37=66. | addition_word |
13,489 | arithmetic | easy | What is 387 + 841 * 91? Remember order of operations. | 76918 | Order of operations (PEMDAS): first 841*91=76531, then 387+76531=76918. | basic_operations |
13,490 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
13,491 | arithmetic | easy | What is 629 - 92? | 537 | Subtract: 629 - 92 = 537. | basic_operations |
13,492 | fractions | medium | What is 11/3 * 14/17? Give as simplified fraction. | 154/51 | Multiply numerators: 11*14=154. Denominators: 3*17=51. Simplify by gcd 1 to get 154/51. | fraction_operations |
13,493 | algebra | medium | Solve for x: x^2 + 1x - 72 = 0 | x = -9, 8 | Factor: (x - -9)(x - 8) = x^2 -(-1)x + -72 = 0. So x = -9 or 8. Check sum = -1, product = -72. | quadratic |
13,494 | fractions | medium | What is 17/17 + 5/5? Give as simplified fraction. | 2 | Common denominator 17*5=85. 17/17=85/85, 5/5=85/85. Sum = 170/85 = 2 simplified. | fraction_operations |
13,495 | algebra | easy | Solve for x: 1x - 23 = -11 | 12 | Add 23 to both sides: 1x = -11+23=12. Then x = 12/1 = 12. | linear_equation |
13,496 | algebra | easy | Solve for x: 19x + 28 = 256 | 12 | Subtract 28 from both sides: 19x = 256-28=228. Then divide by 19: x = 228/19 = 12. | linear_equation |
13,497 | fractions | medium | What is 19/3 + 4/13? Give as simplified fraction. | 259/39 | Common denominator 3*13=39. 19/3=247/39, 4/13=12/39. Sum = 259/39 = 259/39 simplified. | fraction_operations |
13,498 | number_theory | medium | What is the LCM (least common multiple) of 80 and 45? | 720 | LCM = |80*45| / GCD(80,45). GCD=5, so LCM=3600/5=720. | lcm |
13,499 | statistics | easy | What is the mean (average) of 11, 56, 72, 97? | 59 | Mean = sum/count. Sum = 11+56+72+97=236. Count=4. Mean=236/4=59.0. | mean |
13,500 | arithmetic | easy | What is 5 + 31 * 50? Remember order of operations. | 1555 | Order of operations (PEMDAS): first 31*50=1550, then 5+1550=1555. | basic_operations |
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