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 |
|---|---|---|---|---|---|---|
733,401 | arithmetic | easy | What is 794 - 294? | 500 | Subtract: 794 - 294 = 500. | basic_operations |
733,402 | geometry | easy | Find the area of a circle with radius 33. Use pi=3.14159, round to 2 decimals. | 3421.19 | Area = pi*r^2 = 3.14159*33^2 = 3.14159*1089 = 3421.19. | circle_area |
733,403 | percentages | easy | What is 93% of 986? | 916.98 | Calculate 93/100 * 986 = 0.93*986 = 916.98. | percentages |
733,404 | algebra | easy | Solve for x: 11x + 13 = 68 | 5 | Subtract 13 from both sides: 11x = 68-13=55. Then divide by 11: x = 55/11 = 5. | linear_equation |
733,405 | algebra | easy | Solve for x: 13x - 10 = 250 | 20 | Add 10 to both sides: 13x = 250+10=260. Then x = 260/13 = 20. | linear_equation |
733,406 | calculus | medium | What is the derivative of 3x^7 with respect to x? | 21x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^7] = 3*7*x^6 = 21x^6. | derivative |
733,407 | arithmetic | easy | What is 11 + 53 * 59? Remember order of operations. | 3138 | Order of operations (PEMDAS): first 53*59=3127, then 11+3127=3138. | basic_operations |
733,408 | algebra | medium | Solve for x: x^2 + 7x + 6 = 0 | x = -6, -1 | Factor: (x - -6)(x - -1) = x^2 -(-7)x + 6 = 0. So x = -6 or -1. Check sum = -7, product = 6. | quadratic |
733,409 | arithmetic | easy | What is 4 * 88? | 352 | Multiply: 4 * 88 = 352. | basic_operations |
733,410 | 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 |
733,411 | algebra | medium | Solve for x: x^2 - 15x + 50 = 0 | x = 10, 5 | Factor: (x - 10)(x - 5) = x^2 -(15)x + 50 = 0. So x = 10 or 5. Check sum = 15, product = 50. | quadratic |
733,412 | 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 |
733,413 | 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 |
733,414 | word_problems | easy | If you have 37 apples and you buy 43 more apples, how many apples do you have in total? | 80 | Add initial 37 plus bought 43: 37+43=80. | addition_word |
733,415 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
733,416 | number_theory | medium | What is the LCM (least common multiple) of 93 and 12? | 372 | LCM = |93*12| / GCD(93,12). GCD=3, so LCM=1116/3=372. | lcm |
733,417 | roots | easy | What is the square root of 484? | 22 | Find number that when squared gives 484. 22*22=484, so sqrt(484)=22. | square_roots |
733,418 | number_theory | medium | What is the GCD (greatest common divisor) of 4 and 28? | 4 | Find greatest number dividing both 4 and 28. Divisors common, greatest is 4. | gcd |
733,419 | algebra | medium | Solve for x: x^2 + 9x + 14 = 0 | x = -7, -2 | Factor: (x - -7)(x - -2) = x^2 -(-9)x + 14 = 0. So x = -7 or -2. Check sum = -9, product = 14. | quadratic |
733,420 | arithmetic | easy | What is 1078 / 14? | 77 | Divide: 1078 ÷ 14 = 77 because 14*77=1078. | division |
733,421 | word_problems | easy | If you have 49 candies and you buy 18 more candies, how many candies do you have in total? | 67 | Add initial 49 plus bought 18: 49+18=67. | addition_word |
733,422 | number_theory | medium | What is the LCM (least common multiple) of 2 and 41? | 82 | LCM = |2*41| / GCD(2,41). GCD=1, so LCM=82/1=82. | lcm |
733,423 | arithmetic | easy | What is 734 + 612? | 1346 | Add the two numbers: 734 + 612 = 1346. | basic_operations |
733,424 | word_problems | easy | If you have 83 candies and you buy 34 more candies, how many candies do you have in total? | 117 | Add initial 83 plus bought 34: 83+34=117. | addition_word |
733,425 | geometry | easy | Find the area of a circle with radius 22. Use pi=3.14159, round to 2 decimals. | 1520.53 | Area = pi*r^2 = 3.14159*22^2 = 3.14159*484 = 1520.53. | circle_area |
733,426 | 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 |
733,427 | arithmetic | easy | What is 611 + 288 * 49? Remember order of operations. | 14723 | Order of operations (PEMDAS): first 288*49=14112, then 611+14112=14723. | basic_operations |
733,428 | roots | easy | What is the square root of 441? | 21 | Find number that when squared gives 441. 21*21=441, so sqrt(441)=21. | square_roots |
733,429 | geometry | easy | Find the area of a circle with radius 26. Use pi=3.14159, round to 2 decimals. | 2123.72 | Area = pi*r^2 = 3.14159*26^2 = 3.14159*676 = 2123.72. | circle_area |
733,430 | arithmetic | easy | What is 996 - 484? | 512 | Subtract: 996 - 484 = 512. | basic_operations |
733,431 | algebra | medium | Solve for x: x^2 - 4x - 60 = 0 | x = -6, 10 | Factor: (x - -6)(x - 10) = x^2 -(4)x + -60 = 0. So x = -6 or 10. Check sum = 4, product = -60. | quadratic |
733,432 | arithmetic | easy | What is 997 + 597 * 28? Remember order of operations. | 17713 | Order of operations (PEMDAS): first 597*28=16716, then 997+16716=17713. | basic_operations |
733,433 | geometry | easy | Find the area of a circle with radius 1. Use pi=3.14159, round to 2 decimals. | 3.14 | Area = pi*r^2 = 3.14159*1^2 = 3.14159*1 = 3.14. | circle_area |
733,434 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
733,435 | arithmetic | easy | What is 903 + 668 * 23? Remember order of operations. | 16267 | Order of operations (PEMDAS): first 668*23=15364, then 903+15364=16267. | basic_operations |
733,436 | 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 |
733,437 | 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 |
733,438 | exponents | easy | What is 10^3? | 1000 | 10^3 means multiply 10 by itself 3 times: 10*10*10 = 1000. | exponents |
733,439 | number_theory | medium | What is the GCD (greatest common divisor) of 19 and 18? | 1 | Find greatest number dividing both 19 and 18. Divisors common, greatest is 1. | gcd |
733,440 | arithmetic | easy | What is 913 + 46 * 85? Remember order of operations. | 4823 | Order of operations (PEMDAS): first 46*85=3910, then 913+3910=4823. | basic_operations |
733,441 | arithmetic | easy | What is 8967 / 21? | 427 | Divide: 8967 ÷ 21 = 427 because 21*427=8967. | division |
733,442 | arithmetic | easy | What is 59 * 74? | 4366 | Multiply: 59 * 74 = 4366. | basic_operations |
733,443 | roots | easy | What is the square root of 484? | 22 | Find number that when squared gives 484. 22*22=484, so sqrt(484)=22. | square_roots |
733,444 | algebra | easy | Solve for x: 7x - 7 = -21 | -2 | Add 7 to both sides: 7x = -21+7=-14. Then x = -14/7 = -2. | linear_equation |
733,445 | arithmetic | easy | What is 435 - 434? | 1 | Subtract: 435 - 434 = 1. | basic_operations |
733,446 | fractions | medium | What is 16/10 - 20/5? Give as simplified fraction. | -12/5 | Common denominator 50. Numerator 80-200=-120. So -120/50 simplifies to -12/5. | fraction_operations |
733,447 | number_theory | medium | What is the LCM (least common multiple) of 92 and 89? | 8188 | LCM = |92*89| / GCD(92,89). GCD=1, so LCM=8188/1=8188. | lcm |
733,448 | percentages | easy | What is 48% of 541? | 259.68 | Calculate 48/100 * 541 = 0.48*541 = 259.68. | percentages |
733,449 | statistics | easy | What is the mean (average) of 88, 69, 78? | 78.33 | Mean = sum/count. Sum = 88+69+78=235. Count=3. Mean=235/3=78.33. | mean |
733,450 | percentages | easy | What is 76% of 138? | 104.88 | Calculate 76/100 * 138 = 0.76*138 = 104.88. | percentages |
733,451 | algebra | medium | Solve for x: x^2 - 14x + 45 = 0 | x = 9, 5 | Factor: (x - 9)(x - 5) = x^2 -(14)x + 45 = 0. So x = 9 or 5. Check sum = 14, product = 45. | quadratic |
733,452 | calculus | medium | What is the derivative of 3x^7 with respect to x? | 21x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^7] = 3*7*x^6 = 21x^6. | derivative |
733,453 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
733,454 | 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 |
733,455 | arithmetic | easy | What is 710 + 984? | 1694 | Add the two numbers: 710 + 984 = 1694. | basic_operations |
733,456 | 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 |
733,457 | algebra | medium | Solve for x: x^2 + 6x - 7 = 0 | x = 1, -7 | Factor: (x - 1)(x - -7) = x^2 -(-6)x + -7 = 0. So x = 1 or -7. Check sum = -6, product = -7. | quadratic |
733,458 | calculus | medium | What is the derivative of 1x^8 with respect to x? | 8x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^8] = 1*8*x^7 = 8x^7. | derivative |
733,459 | algebra | easy | Solve for x: 5x + 3 = -87 | -18 | Subtract 3 from both sides: 5x = -87-3=-90. Then divide by 5: x = -90/5 = -18. | linear_equation |
733,460 | 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 |
733,461 | arithmetic | easy | What is 374 + 334? | 708 | Add the two numbers: 374 + 334 = 708. | basic_operations |
733,462 | exponents | easy | What is 4^2? | 16 | 4^2 means multiply 4 by itself 2 times: 4*4 = 16. | exponents |
733,463 | arithmetic | easy | What is 731 - 74? | 657 | Subtract: 731 - 74 = 657. | basic_operations |
733,464 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
733,465 | algebra | easy | Solve for x: 20x + 10 = -210 | -11 | Subtract 10 from both sides: 20x = -210-10=-220. Then divide by 20: x = -220/20 = -11. | linear_equation |
733,466 | calculus | medium | What is the derivative of 8x^5 with respect to x? | 40x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^5] = 8*5*x^4 = 40x^4. | derivative |
733,467 | 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 |
733,468 | algebra | easy | Solve for x: 20x + 50 = 450 | 20 | Subtract 50 from both sides: 20x = 450-50=400. Then divide by 20: x = 400/20 = 20. | linear_equation |
733,469 | arithmetic | easy | What is 696 - 336? | 360 | Subtract: 696 - 336 = 360. | basic_operations |
733,470 | algebra | easy | Solve for x: 15x - 33 = -93 | -4 | Add 33 to both sides: 15x = -93+33=-60. Then x = -60/15 = -4. | linear_equation |
733,471 | algebra | medium | Solve for x: x^2 - 4x - 12 = 0 | x = 6, -2 | Factor: (x - 6)(x - -2) = x^2 -(4)x + -12 = 0. So x = 6 or -2. Check sum = 4, product = -12. | quadratic |
733,472 | roots | easy | What is the square root of 1444? | 38 | Find number that when squared gives 1444. 38*38=1444, so sqrt(1444)=38. | square_roots |
733,473 | word_problems | easy | If you have 38 books and you buy 8 more books, how many books do you have in total? | 46 | Add initial 38 plus bought 8: 38+8=46. | addition_word |
733,474 | arithmetic | easy | What is 948 - 538? | 410 | Subtract: 948 - 538 = 410. | basic_operations |
733,475 | algebra | medium | Solve for x: x^2 + 6x = 0 | x = -6, 0 | Factor: (x - -6)(x - 0) = x^2 -(-6)x + 0 = 0. So x = -6 or 0. Check sum = -6, product = 0. | quadratic |
733,476 | arithmetic | easy | What is 29382 / 83? | 354 | Divide: 29382 ÷ 83 = 354 because 83*354=29382. | division |
733,477 | arithmetic | easy | What is 6552 / 42? | 156 | Divide: 6552 ÷ 42 = 156 because 42*156=6552. | division |
733,478 | word_problems | easy | If you have 97 apples and you buy 49 more apples, how many apples do you have in total? | 146 | Add initial 97 plus bought 49: 97+49=146. | addition_word |
733,479 | arithmetic | easy | What is 6 * 53? | 318 | Multiply: 6 * 53 = 318. | basic_operations |
733,480 | arithmetic | easy | What is 401 + 994? | 1395 | Add the two numbers: 401 + 994 = 1395. | basic_operations |
733,481 | word_problems | easy | If you have 87 pencils and you buy 50 more pencils, how many pencils do you have in total? | 137 | Add initial 87 plus bought 50: 87+50=137. | addition_word |
733,482 | calculus | medium | What is the derivative of 5x^6 with respect to x? | 30x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^6] = 5*6*x^5 = 30x^5. | derivative |
733,483 | arithmetic | easy | What is 25 * 29? | 725 | Multiply: 25 * 29 = 725. | basic_operations |
733,484 | arithmetic | easy | What is 58 + 51 * 27? Remember order of operations. | 1435 | Order of operations (PEMDAS): first 51*27=1377, then 58+1377=1435. | basic_operations |
733,485 | statistics | easy | What is the mean (average) of 36, 94, 88, 62, 31? | 62.2 | Mean = sum/count. Sum = 36+94+88+62+31=311. Count=5. Mean=311/5=62.2. | mean |
733,486 | arithmetic | easy | What is 35182 / 98? | 359 | Divide: 35182 ÷ 98 = 359 because 98*359=35182. | division |
733,487 | 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 |
733,488 | number_theory | medium | What is the GCD (greatest common divisor) of 96 and 99? | 3 | Find greatest number dividing both 96 and 99. Divisors common, greatest is 3. | gcd |
733,489 | algebra | easy | Solve for x: 2x - 8 = -20 | -6 | Add 8 to both sides: 2x = -20+8=-12. Then x = -12/2 = -6. | linear_equation |
733,490 | roots | easy | What is the square root of 1444? | 38 | Find number that when squared gives 1444. 38*38=1444, so sqrt(1444)=38. | square_roots |
733,491 | 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 |
733,492 | percentages | easy | What is 46% of 149? | 68.54 | Calculate 46/100 * 149 = 0.46*149 = 68.54. | percentages |
733,493 | algebra | easy | Solve for x: 5x - 33 = -78 | -9 | Add 33 to both sides: 5x = -78+33=-45. Then x = -45/5 = -9. | linear_equation |
733,494 | statistics | easy | What is the mean (average) of 28, 40, 49, 10? | 31.75 | Mean = sum/count. Sum = 28+40+49+10=127. Count=4. Mean=127/4=31.75. | mean |
733,495 | geometry | easy | Find the circumference of a circle with radius 18. Use pi=3.14159, round to 2 decimals. | 113.1 | Circumference = 2*pi*r = 2*3.14159*18 = 113.1. | circle_circum |
733,496 | roots | easy | What is the square root of 1764? | 42 | Find number that when squared gives 1764. 42*42=1764, so sqrt(1764)=42. | square_roots |
733,497 | calculus | medium | What is the derivative of 5x^4 with respect to x? | 20x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^4] = 5*4*x^3 = 20x^3. | derivative |
733,498 | arithmetic | easy | What is 149 + 259? | 408 | Add the two numbers: 149 + 259 = 408. | basic_operations |
733,499 | number_theory | medium | What is the LCM (least common multiple) of 68 and 87? | 5916 | LCM = |68*87| / GCD(68,87). GCD=1, so LCM=5916/1=5916. | lcm |
733,500 | arithmetic | easy | What is 97 + 68? | 165 | Add the two numbers: 97 + 68 = 165. | basic_operations |
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