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 |
|---|---|---|---|---|---|---|
7,401 | word_problems | easy | If you have 19 books and you buy 28 more books, how many books do you have in total? | 47 | Add initial 19 plus bought 28: 19+28=47. | addition_word |
7,402 | geometry | easy | Find the area of a triangle with base 47 and height 4. | 94 | Area = 0.5*base*height = 0.5*47*4 = 94. | triangle_area |
7,403 | 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 |
7,404 | algebra | medium | Solve for x: x^2 - 16 = 0 | x = -4, 4 | Factor: (x - -4)(x - 4) = x^2 -(0)x + -16 = 0. So x = -4 or 4. Check sum = 0, product = -16. | quadratic |
7,405 | arithmetic | easy | What is 542 + 381? | 923 | Add the two numbers: 542 + 381 = 923. | basic_operations |
7,406 | arithmetic | easy | What is 638 - 272? | 366 | Subtract: 638 - 272 = 366. | basic_operations |
7,407 | number_theory | medium | What is the LCM (least common multiple) of 54 and 78? | 702 | LCM = |54*78| / GCD(54,78). GCD=6, so LCM=4212/6=702. | lcm |
7,408 | algebra | easy | Solve for x: 20x + 0 = 40 | 2 | Subtract 0 from both sides: 20x = 40-0=40. Then divide by 20: x = 40/20 = 2. | linear_equation |
7,409 | roots | easy | What is the square root of 625? | 25 | Find number that when squared gives 625. 25*25=625, so sqrt(625)=25. | square_roots |
7,410 | arithmetic | easy | What is 7547 divided by 78? Give answer to 2 decimal places. | 96.76 | Calculate 7547/ 78 = 96.7564, rounded to 2 decimals is 96.76. | division |
7,411 | statistics | easy | What is the mean (average) of 31, 57, 58? | 48.67 | Mean = sum/count. Sum = 31+57+58=146. Count=3. Mean=146/3=48.67. | mean |
7,412 | arithmetic | easy | What is 34917 divided by 90? Give answer to 2 decimal places. | 387.97 | Calculate 34917/ 90 = 387.9667, rounded to 2 decimals is 387.97. | division |
7,413 | algebra | easy | Solve for x: 14x - 20 = 218 | 17 | Add 20 to both sides: 14x = 218+20=238. Then x = 238/14 = 17. | linear_equation |
7,414 | number_theory | medium | What is the GCD (greatest common divisor) of 52 and 14? | 2 | Find greatest number dividing both 52 and 14. Divisors common, greatest is 2. | gcd |
7,415 | calculus | medium | What is the derivative of 7x^8 with respect to x? | 56x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^8] = 7*8*x^7 = 56x^7. | derivative |
7,416 | word_problems | easy | If you have 74 apples and you buy 15 more apples, how many apples do you have in total? | 89 | Add initial 74 plus bought 15: 74+15=89. | addition_word |
7,417 | number_theory | medium | What is the GCD (greatest common divisor) of 47 and 64? | 1 | Find greatest number dividing both 47 and 64. Divisors common, greatest is 1. | gcd |
7,418 | word_problems | easy | If you have 17 pencils and you buy 13 more pencils, how many pencils do you have in total? | 30 | Add initial 17 plus bought 13: 17+13=30. | addition_word |
7,419 | statistics | easy | What is the mean (average) of 37, 6, 22, 94, 18? | 35.4 | Mean = sum/count. Sum = 37+6+22+94+18=177. Count=5. Mean=177/5=35.4. | mean |
7,420 | fractions | medium | What is 10/14 - 3/11? Give as simplified fraction. | 34/77 | Common denominator 154. Numerator 110-42=68. So 68/154 simplifies to 34/77. | fraction_operations |
7,421 | calculus | medium | What is the derivative of 3x^5 with respect to x? | 15x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^5] = 3*5*x^4 = 15x^4. | derivative |
7,422 | statistics | easy | What is the mean (average) of 27, 94, 28, 1? | 37.5 | Mean = sum/count. Sum = 27+94+28+1=150. Count=4. Mean=150/4=37.5. | mean |
7,423 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
7,424 | arithmetic | easy | What is 825 + 469? | 1294 | Add the two numbers: 825 + 469 = 1294. | basic_operations |
7,425 | algebra | medium | Solve for x: x^2 - 3x - 70 = 0 | x = 10, -7 | Factor: (x - 10)(x - -7) = x^2 -(3)x + -70 = 0. So x = 10 or -7. Check sum = 3, product = -70. | quadratic |
7,426 | number_theory | medium | What is the GCD (greatest common divisor) of 24 and 38? | 2 | Find greatest number dividing both 24 and 38. Divisors common, greatest is 2. | gcd |
7,427 | arithmetic | easy | What is 15981 divided by 78? Give answer to 2 decimal places. | 204.88 | Calculate 15981/ 78 = 204.8846, rounded to 2 decimals is 204.88. | division |
7,428 | fractions | medium | What is 14/10 - 16/2? Give as simplified fraction. | -33/5 | Common denominator 20. Numerator 28-160=-132. So -132/20 simplifies to -33/5. | fraction_operations |
7,429 | calculus | medium | What is the derivative of 7x^4 with respect to x? | 28x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^4] = 7*4*x^3 = 28x^3. | derivative |
7,430 | calculus | medium | What is the derivative of 9x^6 with respect to x? | 54x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^6] = 9*6*x^5 = 54x^5. | derivative |
7,431 | statistics | easy | What is the mean (average) of 28, 49, 71? | 49.33 | Mean = sum/count. Sum = 28+49+71=148. Count=3. Mean=148/3=49.33. | mean |
7,432 | percentages | easy | What is 1% of 29? | 0.29 | Calculate 1/100 * 29 = 0.01*29 = 0.29. | percentages |
7,433 | geometry | easy | Find the area of a triangle with base 29 and height 63. | 913.5 | Area = 0.5*base*height = 0.5*29*63 = 913.5. | triangle_area |
7,434 | percentages | easy | What is 52% of 747? | 388.44 | Calculate 52/100 * 747 = 0.52*747 = 388.44. | percentages |
7,435 | percentages | easy | What is 89% of 864? | 768.96 | Calculate 89/100 * 864 = 0.89*864 = 768.96. | percentages |
7,436 | arithmetic | easy | What is 784 + 353? | 1137 | Add the two numbers: 784 + 353 = 1137. | basic_operations |
7,437 | algebra | easy | Solve for x: 20x - 36 = -236 | -10 | Add 36 to both sides: 20x = -236+36=-200. Then x = -200/20 = -10. | linear_equation |
7,438 | statistics | easy | What is the mean (average) of 50, 43, 77? | 56.67 | Mean = sum/count. Sum = 50+43+77=170. Count=3. Mean=170/3=56.67. | mean |
7,439 | percentages | easy | What is 36% of 66? | 23.76 | Calculate 36/100 * 66 = 0.36*66 = 23.76. | percentages |
7,440 | arithmetic | easy | What is 930 - 271? | 659 | Subtract: 930 - 271 = 659. | basic_operations |
7,441 | algebra | easy | Solve for x: 19x - 38 = -323 | -15 | Add 38 to both sides: 19x = -323+38=-285. Then x = -285/19 = -15. | linear_equation |
7,442 | word_problems | easy | If you have 26 pencils and you buy 9 more pencils, how many pencils do you have in total? | 35 | Add initial 26 plus bought 9: 26+9=35. | addition_word |
7,443 | algebra | medium | Solve for x: x^2 - 3x - 10 = 0 | x = -2, 5 | Factor: (x - -2)(x - 5) = x^2 -(3)x + -10 = 0. So x = -2 or 5. Check sum = 3, product = -10. | quadratic |
7,444 | arithmetic | easy | What is 6732 / 68? | 99 | Divide: 6732 ÷ 68 = 99 because 68*99=6732. | division |
7,445 | arithmetic | easy | What is 21101 divided by 59? Give answer to 2 decimal places. | 357.64 | Calculate 21101/ 59 = 357.6441, rounded to 2 decimals is 357.64. | division |
7,446 | arithmetic | easy | What is 869 - 848? | 21 | Subtract: 869 - 848 = 21. | basic_operations |
7,447 | geometry | easy | Find the area of a triangle with base 62 and height 37. | 1147 | Area = 0.5*base*height = 0.5*62*37 = 1147. | triangle_area |
7,448 | word_problems | easy | If you have 84 apples and you buy 39 more apples, how many apples do you have in total? | 123 | Add initial 84 plus bought 39: 84+39=123. | addition_word |
7,449 | roots | easy | What is the square root of 121? | 11 | Find number that when squared gives 121. 11*11=121, so sqrt(121)=11. | square_roots |
7,450 | algebra | easy | Solve for x: 4x + 12 = -40 | -13 | Subtract 12 from both sides: 4x = -40-12=-52. Then divide by 4: x = -52/4 = -13. | linear_equation |
7,451 | arithmetic | easy | What is 10360 / 37? | 280 | Divide: 10360 ÷ 37 = 280 because 37*280=10360. | division |
7,452 | 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 |
7,453 | arithmetic | easy | What is 22896 / 72? | 318 | Divide: 22896 ÷ 72 = 318 because 72*318=22896. | division |
7,454 | arithmetic | easy | What is 444 + 79? | 523 | Add the two numbers: 444 + 79 = 523. | basic_operations |
7,455 | roots | easy | What is the square root of 729? | 27 | Find number that when squared gives 729. 27*27=729, so sqrt(729)=27. | square_roots |
7,456 | percentages | easy | What is 13% of 418? | 54.34 | Calculate 13/100 * 418 = 0.13*418 = 54.34. | percentages |
7,457 | fractions | medium | What is 4/7 - 20/16? Give as simplified fraction. | -19/28 | Common denominator 112. Numerator 64-140=-76. So -76/112 simplifies to -19/28. | fraction_operations |
7,458 | number_theory | medium | What is the LCM (least common multiple) of 58 and 23? | 1334 | LCM = |58*23| / GCD(58,23). GCD=1, so LCM=1334/1=1334. | lcm |
7,459 | arithmetic | easy | What is 16850 divided by 55? Give answer to 2 decimal places. | 306.36 | Calculate 16850/ 55 = 306.3636, rounded to 2 decimals is 306.36. | division |
7,460 | fractions | medium | What is 16/19 + 17/4? Give as simplified fraction. | 387/76 | Common denominator 19*4=76. 16/19=64/76, 17/4=323/76. Sum = 387/76 = 387/76 simplified. | fraction_operations |
7,461 | fractions | medium | What is 17/20 + 19/20? Give as simplified fraction. | 9/5 | Common denominator 20*20=400. 17/20=340/400, 19/20=380/400. Sum = 720/400 = 9/5 simplified. | fraction_operations |
7,462 | calculus | medium | What is the derivative of 3x^6 with respect to x? | 18x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^6] = 3*6*x^5 = 18x^5. | derivative |
7,463 | arithmetic | easy | What is 2 + 64 * 27? Remember order of operations. | 1730 | Order of operations (PEMDAS): first 64*27=1728, then 2+1728=1730. | basic_operations |
7,464 | statistics | easy | What is the mean (average) of 25, 88, 90, 22? | 56.25 | Mean = sum/count. Sum = 25+88+90+22=225. Count=4. Mean=225/4=56.25. | mean |
7,465 | arithmetic | easy | What is 5814 / 51? | 114 | Divide: 5814 ÷ 51 = 114 because 51*114=5814. | division |
7,466 | 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 |
7,467 | percentages | easy | What is 10% of 482? | 48.2 | Calculate 10/100 * 482 = 0.1*482 = 48.2. | percentages |
7,468 | roots | easy | What is the square root of 324? | 18 | Find number that when squared gives 324. 18*18=324, so sqrt(324)=18. | square_roots |
7,469 | arithmetic | easy | What is 869 - 773? | 96 | Subtract: 869 - 773 = 96. | basic_operations |
7,470 | arithmetic | easy | What is 249 + 488? | 737 | Add the two numbers: 249 + 488 = 737. | basic_operations |
7,471 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
7,472 | percentages | easy | What is 44% of 712? | 313.28 | Calculate 44/100 * 712 = 0.44*712 = 313.28. | percentages |
7,473 | 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 |
7,474 | percentages | easy | What is 88% of 613? | 539.44 | Calculate 88/100 * 613 = 0.88*613 = 539.44. | percentages |
7,475 | arithmetic | easy | What is 5187 / 21? | 247 | Divide: 5187 ÷ 21 = 247 because 21*247=5187. | division |
7,476 | algebra | easy | Solve for x: 5x - 9 = -4 | 1 | Add 9 to both sides: 5x = -4+9=5. Then x = 5/5 = 1. | linear_equation |
7,477 | arithmetic | easy | What is 24070 / 58? | 415 | Divide: 24070 ÷ 58 = 415 because 58*415=24070. | division |
7,478 | algebra | medium | Solve for x: x^2 - 7x = 0 | x = 0, 7 | Factor: (x - 0)(x - 7) = x^2 -(7)x + 0 = 0. So x = 0 or 7. Check sum = 7, product = 0. | quadratic |
7,479 | arithmetic | easy | What is 757 - 645? | 112 | Subtract: 757 - 645 = 112. | basic_operations |
7,480 | algebra | medium | Solve for x: x^2 + 12x + 35 = 0 | x = -7, -5 | Factor: (x - -7)(x - -5) = x^2 -(-12)x + 35 = 0. So x = -7 or -5. Check sum = -12, product = 35. | quadratic |
7,481 | fractions | medium | What is 13/3 - 4/19? Give as simplified fraction. | 235/57 | Common denominator 57. Numerator 247-12=235. So 235/57 simplifies to 235/57. | fraction_operations |
7,482 | percentages | easy | What is 74% of 613? | 453.62 | Calculate 74/100 * 613 = 0.74*613 = 453.62. | percentages |
7,483 | geometry | easy | Find the area of a circle with radius 17. Use pi=3.14159, round to 2 decimals. | 907.92 | Area = pi*r^2 = 3.14159*17^2 = 3.14159*289 = 907.92. | circle_area |
7,484 | arithmetic | easy | What is 10388 / 28? | 371 | Divide: 10388 ÷ 28 = 371 because 28*371=10388. | division |
7,485 | roots | easy | What is the square root of 225? | 15 | Find number that when squared gives 225. 15*15=225, so sqrt(225)=15. | square_roots |
7,486 | arithmetic | easy | What is 8400 / 42? | 200 | Divide: 8400 ÷ 42 = 200 because 42*200=8400. | division |
7,487 | percentages | easy | What is 2% of 917? | 18.34 | Calculate 2/100 * 917 = 0.02*917 = 18.34. | percentages |
7,488 | statistics | easy | What is the mean (average) of 52, 67, 85, 95, 44? | 68.6 | Mean = sum/count. Sum = 52+67+85+95+44=343. Count=5. Mean=343/5=68.6. | mean |
7,489 | arithmetic | easy | What is 85 * 40? | 3400 | Multiply: 85 * 40 = 3400. | basic_operations |
7,490 | word_problems | easy | If you have 22 dollars and you buy 41 more dollars, how many dollars do you have in total? | 63 | Add initial 22 plus bought 41: 22+41=63. | addition_word |
7,491 | arithmetic | easy | What is 23 + 90 * 79? Remember order of operations. | 7133 | Order of operations (PEMDAS): first 90*79=7110, then 23+7110=7133. | basic_operations |
7,492 | statistics | easy | What is the mean (average) of 100, 25, 43, 84, 98? | 70 | Mean = sum/count. Sum = 100+25+43+84+98=350. Count=5. Mean=350/5=70.0. | mean |
7,493 | arithmetic | easy | What is 429 + 411 * 66? Remember order of operations. | 27555 | Order of operations (PEMDAS): first 411*66=27126, then 429+27126=27555. | basic_operations |
7,494 | fractions | medium | What is 7/17 - 7/15? Give as simplified fraction. | -14/255 | Common denominator 255. Numerator 105-119=-14. So -14/255 simplifies to -14/255. | fraction_operations |
7,495 | arithmetic | easy | What is 490 + 710? | 1200 | Add the two numbers: 490 + 710 = 1200. | basic_operations |
7,496 | percentages | easy | What is 91% of 301? | 273.91 | Calculate 91/100 * 301 = 0.91*301 = 273.91. | percentages |
7,497 | arithmetic | easy | What is 942 + 724 * 24? Remember order of operations. | 18318 | Order of operations (PEMDAS): first 724*24=17376, then 942+17376=18318. | basic_operations |
7,498 | algebra | medium | Solve for x: x^2 - 5x - 50 = 0 | x = 10, -5 | Factor: (x - 10)(x - -5) = x^2 -(5)x + -50 = 0. So x = 10 or -5. Check sum = 5, product = -50. | quadratic |
7,499 | geometry | easy | Find the area of a rectangle with length 89 and width 79. | 7031 | Area = length * width = 89*79 = 7031. | rectangle_area |
7,500 | percentages | easy | What is 8% of 422? | 33.76 | Calculate 8/100 * 422 = 0.08*422 = 33.76. | percentages |
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