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 |
|---|---|---|---|---|---|---|
3,401 | geometry | easy | Find the area of a circle with radius 40. Use pi=3.14159, round to 2 decimals. | 5026.55 | Area = pi*r^2 = 3.14159*40^2 = 3.14159*1600 = 5026.55. | circle_area |
3,402 | percentages | easy | What is 89% of 819? | 728.91 | Calculate 89/100 * 819 = 0.89*819 = 728.91. | percentages |
3,403 | arithmetic | easy | What is 384 + 588? | 972 | Add the two numbers: 384 + 588 = 972. | basic_operations |
3,404 | 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 |
3,405 | 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 |
3,406 | arithmetic | easy | What is 37 + 35 * 24? Remember order of operations. | 877 | Order of operations (PEMDAS): first 35*24=840, then 37+840=877. | basic_operations |
3,407 | fractions | medium | What is 1/15 - 5/10? Give as simplified fraction. | -13/30 | Common denominator 150. Numerator 10-75=-65. So -65/150 simplifies to -13/30. | fraction_operations |
3,408 | word_problems | easy | If you have 81 dollars and you buy 41 more dollars, how many dollars do you have in total? | 122 | Add initial 81 plus bought 41: 81+41=122. | addition_word |
3,409 | arithmetic | easy | What is 3480 / 30? | 116 | Divide: 3480 ÷ 30 = 116 because 30*116=3480. | division |
3,410 | percentages | easy | What is 9% of 627? | 56.43 | Calculate 9/100 * 627 = 0.09*627 = 56.43. | percentages |
3,411 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
3,412 | 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 |
3,413 | roots | easy | What is the square root of 1225? | 35 | Find number that when squared gives 1225. 35*35=1225, so sqrt(1225)=35. | square_roots |
3,414 | calculus | medium | What is the derivative of 9x^5 with respect to x? | 45x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^5] = 9*5*x^4 = 45x^4. | derivative |
3,415 | arithmetic | easy | What is 352 - 349? | 3 | Subtract: 352 - 349 = 3. | basic_operations |
3,416 | algebra | easy | Solve for x: 15x + 45 = 210 | 11 | Subtract 45 from both sides: 15x = 210-45=165. Then divide by 15: x = 165/15 = 11. | linear_equation |
3,417 | fractions | medium | What is 18/7 - 13/10? Give as simplified fraction. | 89/70 | Common denominator 70. Numerator 180-91=89. So 89/70 simplifies to 89/70. | fraction_operations |
3,418 | arithmetic | easy | What is 677 + 873? | 1550 | Add the two numbers: 677 + 873 = 1550. | basic_operations |
3,419 | number_theory | medium | What is the LCM (least common multiple) of 11 and 27? | 297 | LCM = |11*27| / GCD(11,27). GCD=1, so LCM=297/1=297. | lcm |
3,420 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
3,421 | word_problems | easy | If you have 91 apples and you buy 30 more apples, how many apples do you have in total? | 121 | Add initial 91 plus bought 30: 91+30=121. | addition_word |
3,422 | algebra | easy | Solve for x: 20x + 24 = -176 | -10 | Subtract 24 from both sides: 20x = -176-24=-200. Then divide by 20: x = -200/20 = -10. | linear_equation |
3,423 | number_theory | medium | What is the LCM (least common multiple) of 73 and 56? | 4088 | LCM = |73*56| / GCD(73,56). GCD=1, so LCM=4088/1=4088. | lcm |
3,424 | arithmetic | easy | What is 96 * 63? | 6048 | Multiply: 96 * 63 = 6048. | basic_operations |
3,425 | 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 |
3,426 | calculus | medium | What is the derivative of 2x^6 with respect to x? | 12x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^6] = 2*6*x^5 = 12x^5. | derivative |
3,427 | arithmetic | easy | What is 5824 / 52? | 112 | Divide: 5824 ÷ 52 = 112 because 52*112=5824. | division |
3,428 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
3,429 | calculus | medium | What is the derivative of 7x^6 with respect to x? | 42x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^6] = 7*6*x^5 = 42x^5. | derivative |
3,430 | number_theory | medium | What is the LCM (least common multiple) of 97 and 28? | 2716 | LCM = |97*28| / GCD(97,28). GCD=1, so LCM=2716/1=2716. | lcm |
3,431 | geometry | easy | Find the area of a circle with radius 50. Use pi=3.14159, round to 2 decimals. | 7853.98 | Area = pi*r^2 = 3.14159*50^2 = 3.14159*2500 = 7853.98. | circle_area |
3,432 | number_theory | medium | What is the LCM (least common multiple) of 81 and 14? | 1134 | LCM = |81*14| / GCD(81,14). GCD=1, so LCM=1134/1=1134. | lcm |
3,433 | calculus | medium | What is the derivative of 7x^3 with respect to x? | 21x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^3] = 7*3*x^2 = 21x^2. | derivative |
3,434 | statistics | easy | What is the mean (average) of 37, 58, 21, 23? | 34.75 | Mean = sum/count. Sum = 37+58+21+23=139. Count=4. Mean=139/4=34.75. | mean |
3,435 | calculus | medium | What is the derivative of 1x^4 with respect to x? | 4x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^4] = 1*4*x^3 = 4x^3. | derivative |
3,436 | roots | easy | What is the square root of 2401? | 49 | Find number that when squared gives 2401. 49*49=2401, so sqrt(2401)=49. | square_roots |
3,437 | word_problems | easy | If you have 88 apples and you buy 12 more apples, how many apples do you have in total? | 100 | Add initial 88 plus bought 12: 88+12=100. | addition_word |
3,438 | calculus | medium | What is the derivative of 7x^6 with respect to x? | 42x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^6] = 7*6*x^5 = 42x^5. | derivative |
3,439 | 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 |
3,440 | fractions | medium | What is 1/9 + 5/18? Give as simplified fraction. | 7/18 | Common denominator 9*18=162. 1/9=18/162, 5/18=45/162. Sum = 63/162 = 7/18 simplified. | fraction_operations |
3,441 | 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 |
3,442 | roots | easy | What is the square root of 1600? | 40 | Find number that when squared gives 1600. 40*40=1600, so sqrt(1600)=40. | square_roots |
3,443 | percentages | easy | What is 22% of 583? | 128.26 | Calculate 22/100 * 583 = 0.22*583 = 128.26. | percentages |
3,444 | statistics | easy | What is the mean (average) of 12, 48, 3, 96, 77? | 47.2 | Mean = sum/count. Sum = 12+48+3+96+77=236. Count=5. Mean=236/5=47.2. | mean |
3,445 | 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 |
3,446 | fractions | medium | What is 6/16 + 12/9? Give as simplified fraction. | 41/24 | Common denominator 16*9=144. 6/16=54/144, 12/9=192/144. Sum = 246/144 = 41/24 simplified. | fraction_operations |
3,447 | statistics | easy | What is the mean (average) of 26, 42, 17, 38, 9? | 26.4 | Mean = sum/count. Sum = 26+42+17+38+9=132. Count=5. Mean=132/5=26.4. | mean |
3,448 | arithmetic | easy | What is 592 + 212 * 60? Remember order of operations. | 13312 | Order of operations (PEMDAS): first 212*60=12720, then 592+12720=13312. | basic_operations |
3,449 | word_problems | easy | If you have 35 candies and you buy 12 more candies, how many candies do you have in total? | 47 | Add initial 35 plus bought 12: 35+12=47. | addition_word |
3,450 | arithmetic | easy | What is 33891 / 79? | 429 | Divide: 33891 ÷ 79 = 429 because 79*429=33891. | division |
3,451 | percentages | easy | What is 60% of 740? | 444 | Calculate 60/100 * 740 = 0.6*740 = 444. | percentages |
3,452 | arithmetic | easy | What is 87 * 53? | 4611 | Multiply: 87 * 53 = 4611. | basic_operations |
3,453 | statistics | easy | What is the mean (average) of 10, 54, 34, 92? | 47.5 | Mean = sum/count. Sum = 10+54+34+92=190. Count=4. Mean=190/4=47.5. | mean |
3,454 | arithmetic | easy | What is 37014 / 93? | 398 | Divide: 37014 ÷ 93 = 398 because 93*398=37014. | division |
3,455 | word_problems | easy | If you have 66 apples and you buy 47 more apples, how many apples do you have in total? | 113 | Add initial 66 plus bought 47: 66+47=113. | addition_word |
3,456 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
3,457 | number_theory | medium | What is the LCM (least common multiple) of 52 and 92? | 1196 | LCM = |52*92| / GCD(52,92). GCD=4, so LCM=4784/4=1196. | lcm |
3,458 | 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 |
3,459 | arithmetic | easy | What is 1125 / 15? | 75 | Divide: 1125 ÷ 15 = 75 because 15*75=1125. | division |
3,460 | arithmetic | easy | What is 8225 divided by 94? Give answer to 2 decimal places. | 87.5 | Calculate 8225/ 94 = 87.5000, rounded to 2 decimals is 87.5. | division |
3,461 | 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 |
3,462 | percentages | easy | What is 62% of 216? | 133.92 | Calculate 62/100 * 216 = 0.62*216 = 133.92. | percentages |
3,463 | geometry | easy | Find the area of a rectangle with length 43 and width 83. | 3569 | Area = length * width = 43*83 = 3569. | rectangle_area |
3,464 | arithmetic | easy | What is 921 - 470? | 451 | Subtract: 921 - 470 = 451. | basic_operations |
3,465 | geometry | easy | Find the area of a circle with radius 19. Use pi=3.14159, round to 2 decimals. | 1134.11 | Area = pi*r^2 = 3.14159*19^2 = 3.14159*361 = 1134.11. | circle_area |
3,466 | word_problems | easy | If you have 47 dollars and you buy 29 more dollars, how many dollars do you have in total? | 76 | Add initial 47 plus bought 29: 47+29=76. | addition_word |
3,467 | geometry | easy | Find the area of a triangle with base 5 and height 98. | 245 | Area = 0.5*base*height = 0.5*5*98 = 245. | triangle_area |
3,468 | algebra | easy | Solve for x: 5x + 16 = 6 | -2 | Subtract 16 from both sides: 5x = 6-16=-10. Then divide by 5: x = -10/5 = -2. | linear_equation |
3,469 | arithmetic | easy | What is 47 + 92 * 48? Remember order of operations. | 4463 | Order of operations (PEMDAS): first 92*48=4416, then 47+4416=4463. | basic_operations |
3,470 | algebra | medium | Solve for x: x^2 - 18x + 80 = 0 | x = 8, 10 | Factor: (x - 8)(x - 10) = x^2 -(18)x + 80 = 0. So x = 8 or 10. Check sum = 18, product = 80. | quadratic |
3,471 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
3,472 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
3,473 | algebra | easy | Solve for x: 20x - 13 = 67 | 4 | Add 13 to both sides: 20x = 67+13=80. Then x = 80/20 = 4. | linear_equation |
3,474 | geometry | easy | Find the perimeter of a rectangle with length 4 and width 28. | 64 | Perimeter = 2*(length+width) = 2*(4+28) = 2*32 = 64. | rectangle_perim |
3,475 | exponents | easy | What is 4^2? | 16 | 4^2 means multiply 4 by itself 2 times: 4*4 = 16. | exponents |
3,476 | geometry | easy | Find the area of a circle with radius 47. Use pi=3.14159, round to 2 decimals. | 6939.78 | Area = pi*r^2 = 3.14159*47^2 = 3.14159*2209 = 6939.78. | circle_area |
3,477 | calculus | medium | What is the derivative of 10x^5 with respect to x? | 50x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^5] = 10*5*x^4 = 50x^4. | derivative |
3,478 | algebra | medium | Solve for x: x^2 - 11x + 10 = 0 | x = 1, 10 | Factor: (x - 1)(x - 10) = x^2 -(11)x + 10 = 0. So x = 1 or 10. Check sum = 11, product = 10. | quadratic |
3,479 | algebra | easy | Solve for x: 19x + 14 = 14 | 0 | Subtract 14 from both sides: 19x = 14-14=0. Then divide by 19: x = 0/19 = 0. | linear_equation |
3,480 | number_theory | medium | What is the GCD (greatest common divisor) of 49 and 63? | 7 | Find greatest number dividing both 49 and 63. Divisors common, greatest is 7. | gcd |
3,481 | statistics | easy | What is the mean (average) of 62, 49, 2? | 37.67 | Mean = sum/count. Sum = 62+49+2=113. Count=3. Mean=113/3=37.67. | mean |
3,482 | arithmetic | easy | What is 351 + 231 * 40? Remember order of operations. | 9591 | Order of operations (PEMDAS): first 231*40=9240, then 351+9240=9591. | basic_operations |
3,483 | geometry | easy | Find the area of a triangle with base 100 and height 94. | 4700 | Area = 0.5*base*height = 0.5*100*94 = 4700. | triangle_area |
3,484 | arithmetic | easy | What is 8631 divided by 85? Give answer to 2 decimal places. | 101.54 | Calculate 8631/ 85 = 101.5412, rounded to 2 decimals is 101.54. | division |
3,485 | word_problems | easy | If you have 77 apples and you buy 41 more apples, how many apples do you have in total? | 118 | Add initial 77 plus bought 41: 77+41=118. | addition_word |
3,486 | percentages | easy | What is 95% of 208? | 197.6 | Calculate 95/100 * 208 = 0.95*208 = 197.6. | percentages |
3,487 | number_theory | medium | What is the LCM (least common multiple) of 86 and 5? | 430 | LCM = |86*5| / GCD(86,5). GCD=1, so LCM=430/1=430. | lcm |
3,488 | arithmetic | easy | What is 11440 / 44? | 260 | Divide: 11440 ÷ 44 = 260 because 44*260=11440. | division |
3,489 | arithmetic | easy | What is 994 - 818? | 176 | Subtract: 994 - 818 = 176. | basic_operations |
3,490 | percentages | easy | What is 32% of 263? | 84.16 | Calculate 32/100 * 263 = 0.32*263 = 84.16. | percentages |
3,491 | algebra | medium | Solve for x: x^2 - 7x - 30 = 0 | x = 10, -3 | Factor: (x - 10)(x - -3) = x^2 -(7)x + -30 = 0. So x = 10 or -3. Check sum = 7, product = -30. | quadratic |
3,492 | percentages | easy | What is 89% of 735? | 654.15 | Calculate 89/100 * 735 = 0.89*735 = 654.15. | percentages |
3,493 | word_problems | easy | If you have 27 pencils and you buy 3 more pencils, how many pencils do you have in total? | 30 | Add initial 27 plus bought 3: 27+3=30. | addition_word |
3,494 | geometry | easy | Find the area of a triangle with base 36 and height 12. | 216 | Area = 0.5*base*height = 0.5*36*12 = 216. | triangle_area |
3,495 | fractions | medium | What is 3/6 + 17/11? Give as simplified fraction. | 45/22 | Common denominator 6*11=66. 3/6=33/66, 17/11=102/66. Sum = 135/66 = 45/22 simplified. | fraction_operations |
3,496 | fractions | medium | What is 8/9 - 19/20? Give as simplified fraction. | -11/180 | Common denominator 180. Numerator 160-171=-11. So -11/180 simplifies to -11/180. | fraction_operations |
3,497 | word_problems | easy | If you have 17 apples and you buy 35 more apples, how many apples do you have in total? | 52 | Add initial 17 plus bought 35: 17+35=52. | addition_word |
3,498 | roots | easy | What is the square root of 1681? | 41 | Find number that when squared gives 1681. 41*41=1681, so sqrt(1681)=41. | square_roots |
3,499 | arithmetic | easy | What is 490 + 202 * 15? Remember order of operations. | 3520 | Order of operations (PEMDAS): first 202*15=3030, then 490+3030=3520. | basic_operations |
3,500 | fractions | medium | What is 4/19 * 19/8? Give as simplified fraction. | 1/2 | Multiply numerators: 4*19=76. Denominators: 19*8=152. Simplify by gcd 76 to get 1/2. | fraction_operations |
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