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 |
|---|---|---|---|---|---|---|
5,401 | arithmetic | easy | What is 75 * 82? | 6150 | Multiply: 75 * 82 = 6150. | basic_operations |
5,402 | percentages | easy | What is 16% of 149? | 23.84 | Calculate 16/100 * 149 = 0.16*149 = 23.84. | percentages |
5,403 | arithmetic | easy | What is 163 + 124? | 287 | Add the two numbers: 163 + 124 = 287. | basic_operations |
5,404 | arithmetic | easy | What is 794 + 358 * 63? Remember order of operations. | 23348 | Order of operations (PEMDAS): first 358*63=22554, then 794+22554=23348. | basic_operations |
5,405 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
5,406 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
5,407 | arithmetic | easy | What is 60 * 51? | 3060 | Multiply: 60 * 51 = 3060. | basic_operations |
5,408 | 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 |
5,409 | calculus | medium | What is the derivative of 10x^4 with respect to x? | 40x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^4] = 10*4*x^3 = 40x^3. | derivative |
5,410 | word_problems | easy | If you have 80 dollars and you buy 29 more dollars, how many dollars do you have in total? | 109 | Add initial 80 plus bought 29: 80+29=109. | addition_word |
5,411 | arithmetic | easy | What is 836 - 430? | 406 | Subtract: 836 - 430 = 406. | basic_operations |
5,412 | 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 |
5,413 | arithmetic | easy | What is 264 + 879 * 43? Remember order of operations. | 38061 | Order of operations (PEMDAS): first 879*43=37797, then 264+37797=38061. | basic_operations |
5,414 | percentages | easy | What is 46% of 323? | 148.58 | Calculate 46/100 * 323 = 0.46*323 = 148.58. | percentages |
5,415 | percentages | easy | What is 61% of 204? | 124.44 | Calculate 61/100 * 204 = 0.61*204 = 124.44. | percentages |
5,416 | arithmetic | easy | What is 757 - 603? | 154 | Subtract: 757 - 603 = 154. | basic_operations |
5,417 | algebra | medium | Solve for x: x^2 - 8x + 16 = 0 | x = 4 | Factor as (x - 4)^2 = 0, so root is 4 (double root). Sum of roots = 8, product = 16. | quadratic |
5,418 | arithmetic | easy | What is 84 + 46 * 82? Remember order of operations. | 3856 | Order of operations (PEMDAS): first 46*82=3772, then 84+3772=3856. | basic_operations |
5,419 | calculus | medium | What is the derivative of 6x^3 with respect to x? | 18x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^3] = 6*3*x^2 = 18x^2. | derivative |
5,420 | fractions | medium | What is 2/13 * 19/16? Give as simplified fraction. | 19/104 | Multiply numerators: 2*19=38. Denominators: 13*16=208. Simplify by gcd 2 to get 19/104. | fraction_operations |
5,421 | arithmetic | easy | What is 184 + 377 * 45? Remember order of operations. | 17149 | Order of operations (PEMDAS): first 377*45=16965, then 184+16965=17149. | basic_operations |
5,422 | algebra | medium | Solve for x: x^2 - 7x + 12 = 0 | x = 4, 3 | Factor: (x - 4)(x - 3) = x^2 -(7)x + 12 = 0. So x = 4 or 3. Check sum = 7, product = 12. | quadratic |
5,423 | fractions | medium | What is 14/11 - 8/4? Give as simplified fraction. | -8/11 | Common denominator 44. Numerator 56-88=-32. So -32/44 simplifies to -8/11. | fraction_operations |
5,424 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
5,425 | 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 |
5,426 | 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 |
5,427 | 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 |
5,428 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
5,429 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
5,430 | geometry | easy | Find the area of a rectangle with length 40 and width 79. | 3160 | Area = length * width = 40*79 = 3160. | rectangle_area |
5,431 | arithmetic | easy | What is 15184 / 52? | 292 | Divide: 15184 ÷ 52 = 292 because 52*292=15184. | division |
5,432 | percentages | easy | What is 91% of 968? | 880.88 | Calculate 91/100 * 968 = 0.91*968 = 880.88. | percentages |
5,433 | geometry | easy | Find the area of a circle with radius 38. Use pi=3.14159, round to 2 decimals. | 4536.46 | Area = pi*r^2 = 3.14159*38^2 = 3.14159*1444 = 4536.46. | circle_area |
5,434 | word_problems | easy | If you have 41 pencils and you buy 15 more pencils, how many pencils do you have in total? | 56 | Add initial 41 plus bought 15: 41+15=56. | addition_word |
5,435 | geometry | easy | Find the circumference of a circle with radius 17. Use pi=3.14159, round to 2 decimals. | 106.81 | Circumference = 2*pi*r = 2*3.14159*17 = 106.81. | circle_circum |
5,436 | arithmetic | easy | What is 90 + 72 * 87? Remember order of operations. | 6354 | Order of operations (PEMDAS): first 72*87=6264, then 90+6264=6354. | basic_operations |
5,437 | percentages | easy | What is 7% of 608? | 42.56 | Calculate 7/100 * 608 = 0.07*608 = 42.56. | percentages |
5,438 | roots | easy | What is the square root of 1089? | 33 | Find number that when squared gives 1089. 33*33=1089, so sqrt(1089)=33. | square_roots |
5,439 | 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 |
5,440 | statistics | easy | What is the mean (average) of 28, 74, 86, 69, 83? | 68 | Mean = sum/count. Sum = 28+74+86+69+83=340. Count=5. Mean=340/5=68.0. | mean |
5,441 | geometry | easy | Find the area of a rectangle with length 32 and width 21. | 672 | Area = length * width = 32*21 = 672. | rectangle_area |
5,442 | arithmetic | easy | What is 1374 / 3? | 458 | Divide: 1374 ÷ 3 = 458 because 3*458=1374. | division |
5,443 | arithmetic | easy | What is 708 - 178? | 530 | Subtract: 708 - 178 = 530. | basic_operations |
5,444 | statistics | easy | What is the mean (average) of 39, 67, 45, 25? | 44 | Mean = sum/count. Sum = 39+67+45+25=176. Count=4. Mean=176/4=44.0. | mean |
5,445 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
5,446 | number_theory | medium | What is the GCD (greatest common divisor) of 44 and 61? | 1 | Find greatest number dividing both 44 and 61. Divisors common, greatest is 1. | gcd |
5,447 | algebra | easy | Solve for x: 2x - 19 = -59 | -20 | Add 19 to both sides: 2x = -59+19=-40. Then x = -40/2 = -20. | linear_equation |
5,448 | arithmetic | easy | What is 310 - 285? | 25 | Subtract: 310 - 285 = 25. | basic_operations |
5,449 | calculus | medium | What is the derivative of 3x^2 with respect to x? | 6x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^2] = 3*2*x^1 = 6x. | derivative |
5,450 | percentages | easy | What is 73% of 56? | 40.88 | Calculate 73/100 * 56 = 0.73*56 = 40.88. | percentages |
5,451 | arithmetic | easy | What is 919 + 145 * 95? Remember order of operations. | 14694 | Order of operations (PEMDAS): first 145*95=13775, then 919+13775=14694. | basic_operations |
5,452 | arithmetic | easy | What is 10528 / 28? | 376 | Divide: 10528 ÷ 28 = 376 because 28*376=10528. | division |
5,453 | calculus | medium | What is the derivative of 6x^8 with respect to x? | 48x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^8] = 6*8*x^7 = 48x^7. | derivative |
5,454 | calculus | medium | What is the derivative of 6x^3 with respect to x? | 18x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^3] = 6*3*x^2 = 18x^2. | derivative |
5,455 | 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 |
5,456 | statistics | easy | What is the mean (average) of 72, 56, 11? | 46.33 | Mean = sum/count. Sum = 72+56+11=139. Count=3. Mean=139/3=46.33. | mean |
5,457 | fractions | medium | What is 3/10 - 12/19? Give as simplified fraction. | -63/190 | Common denominator 190. Numerator 57-120=-63. So -63/190 simplifies to -63/190. | fraction_operations |
5,458 | fractions | medium | What is 9/12 + 13/14? Give as simplified fraction. | 47/28 | Common denominator 12*14=168. 9/12=126/168, 13/14=156/168. Sum = 282/168 = 47/28 simplified. | fraction_operations |
5,459 | arithmetic | easy | What is 48 * 7? | 336 | Multiply: 48 * 7 = 336. | basic_operations |
5,460 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
5,461 | 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 |
5,462 | algebra | easy | Solve for x: 2x - 19 = -35 | -8 | Add 19 to both sides: 2x = -35+19=-16. Then x = -16/2 = -8. | linear_equation |
5,463 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
5,464 | algebra | medium | Solve for x: x^2 - 1x - 6 = 0 | x = -2, 3 | Factor: (x - -2)(x - 3) = x^2 -(1)x + -6 = 0. So x = -2 or 3. Check sum = 1, product = -6. | quadratic |
5,465 | fractions | medium | What is 4/2 * 10/9? Give as simplified fraction. | 20/9 | Multiply numerators: 4*10=40. Denominators: 2*9=18. Simplify by gcd 2 to get 20/9. | fraction_operations |
5,466 | word_problems | easy | If you have 96 candies and you buy 38 more candies, how many candies do you have in total? | 134 | Add initial 96 plus bought 38: 96+38=134. | addition_word |
5,467 | calculus | medium | What is the derivative of 9x^8 with respect to x? | 72x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^8] = 9*8*x^7 = 72x^7. | derivative |
5,468 | arithmetic | easy | What is 566 - 34? | 532 | Subtract: 566 - 34 = 532. | basic_operations |
5,469 | algebra | easy | Solve for x: 19x - 15 = 61 | 4 | Add 15 to both sides: 19x = 61+15=76. Then x = 76/19 = 4. | linear_equation |
5,470 | arithmetic | easy | What is 157 + 908? | 1065 | Add the two numbers: 157 + 908 = 1065. | basic_operations |
5,471 | statistics | easy | What is the mean (average) of 37, 9, 60, 34? | 35 | Mean = sum/count. Sum = 37+9+60+34=140. Count=4. Mean=140/4=35.0. | mean |
5,472 | fractions | medium | What is 2/11 + 7/12? Give as simplified fraction. | 101/132 | Common denominator 11*12=132. 2/11=24/132, 7/12=77/132. Sum = 101/132 = 101/132 simplified. | fraction_operations |
5,473 | algebra | easy | Solve for x: 8x + 18 = 42 | 3 | Subtract 18 from both sides: 8x = 42-18=24. Then divide by 8: x = 24/8 = 3. | linear_equation |
5,474 | arithmetic | easy | What is 36 * 55? | 1980 | Multiply: 36 * 55 = 1980. | basic_operations |
5,475 | algebra | medium | Solve for x: x^2 - 4x = 0 | x = 4, 0 | Factor: (x - 4)(x - 0) = x^2 -(4)x + 0 = 0. So x = 4 or 0. Check sum = 4, product = 0. | quadratic |
5,476 | algebra | medium | Solve for x: x^2 + 8x + 16 = 0 | x = -4 | Factor as (x - -4)^2 = 0, so root is -4 (double root). Sum of roots = -8, product = 16. | quadratic |
5,477 | algebra | easy | Solve for x: 17x - 31 = 292 | 19 | Add 31 to both sides: 17x = 292+31=323. Then x = 323/17 = 19. | linear_equation |
5,478 | percentages | easy | What is 2% of 140? | 2.8 | Calculate 2/100 * 140 = 0.02*140 = 2.8. | percentages |
5,479 | arithmetic | easy | What is 14 + 28 * 52? Remember order of operations. | 1470 | Order of operations (PEMDAS): first 28*52=1456, then 14+1456=1470. | basic_operations |
5,480 | arithmetic | easy | What is 236 + 23 * 29? Remember order of operations. | 903 | Order of operations (PEMDAS): first 23*29=667, then 236+667=903. | basic_operations |
5,481 | word_problems | easy | If you have 61 apples and you buy 5 more apples, how many apples do you have in total? | 66 | Add initial 61 plus bought 5: 61+5=66. | addition_word |
5,482 | 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 |
5,483 | word_problems | easy | If you have 51 candies and you buy 1 more candies, how many candies do you have in total? | 52 | Add initial 51 plus bought 1: 51+1=52. | addition_word |
5,484 | 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 |
5,485 | statistics | easy | What is the mean (average) of 79, 45, 97, 41, 32? | 58.8 | Mean = sum/count. Sum = 79+45+97+41+32=294. Count=5. Mean=294/5=58.8. | mean |
5,486 | arithmetic | easy | What is 285 + 178 * 83? Remember order of operations. | 15059 | Order of operations (PEMDAS): first 178*83=14774, then 285+14774=15059. | basic_operations |
5,487 | arithmetic | easy | What is 965 + 926? | 1891 | Add the two numbers: 965 + 926 = 1891. | basic_operations |
5,488 | geometry | easy | Find the circumference of a circle with radius 11. Use pi=3.14159, round to 2 decimals. | 69.12 | Circumference = 2*pi*r = 2*3.14159*11 = 69.12. | circle_circum |
5,489 | percentages | easy | What is 4% of 222? | 8.88 | Calculate 4/100 * 222 = 0.04*222 = 8.88. | percentages |
5,490 | geometry | easy | Find the perimeter of a rectangle with length 6 and width 17. | 46 | Perimeter = 2*(length+width) = 2*(6+17) = 2*23 = 46. | rectangle_perim |
5,491 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
5,492 | arithmetic | easy | What is 94 + 466? | 560 | Add the two numbers: 94 + 466 = 560. | basic_operations |
5,493 | algebra | easy | Solve for x: 10x - 44 = -14 | 3 | Add 44 to both sides: 10x = -14+44=30. Then x = 30/10 = 3. | linear_equation |
5,494 | arithmetic | easy | What is 834 - 450? | 384 | Subtract: 834 - 450 = 384. | basic_operations |
5,495 | geometry | easy | Find the area of a triangle with base 60 and height 94. | 2820 | Area = 0.5*base*height = 0.5*60*94 = 2820. | triangle_area |
5,496 | arithmetic | easy | What is 20439 divided by 62? Give answer to 2 decimal places. | 329.66 | Calculate 20439/ 62 = 329.6613, rounded to 2 decimals is 329.66. | division |
5,497 | 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 |
5,498 | 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 |
5,499 | algebra | medium | Solve for x: x^2 + 11x + 18 = 0 | x = -2, -9 | Factor: (x - -2)(x - -9) = x^2 -(-11)x + 18 = 0. So x = -2 or -9. Check sum = -11, product = 18. | quadratic |
5,500 | 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 |
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