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 |
|---|---|---|---|---|---|---|
9,401 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
9,402 | statistics | easy | What is the mean (average) of 35, 48, 74, 24? | 45.25 | Mean = sum/count. Sum = 35+48+74+24=181. Count=4. Mean=181/4=45.25. | mean |
9,403 | number_theory | medium | What is the GCD (greatest common divisor) of 37 and 91? | 1 | Find greatest number dividing both 37 and 91. Divisors common, greatest is 1. | gcd |
9,404 | algebra | easy | Solve for x: 7x + 15 = 71 | 8 | Subtract 15 from both sides: 7x = 71-15=56. Then divide by 7: x = 56/7 = 8. | linear_equation |
9,405 | algebra | easy | Solve for x: 10x + 44 = 214 | 17 | Subtract 44 from both sides: 10x = 214-44=170. Then divide by 10: x = 170/10 = 17. | linear_equation |
9,406 | percentages | easy | What is 62% of 611? | 378.82 | Calculate 62/100 * 611 = 0.62*611 = 378.82. | percentages |
9,407 | statistics | easy | What is the mean (average) of 5, 3, 64, 8, 91? | 34.2 | Mean = sum/count. Sum = 5+3+64+8+91=171. Count=5. Mean=171/5=34.2. | mean |
9,408 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
9,409 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
9,410 | 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 |
9,411 | geometry | easy | Find the area of a rectangle with length 56 and width 55. | 3080 | Area = length * width = 56*55 = 3080. | rectangle_area |
9,412 | algebra | easy | Solve for x: 7x + 36 = 148 | 16 | Subtract 36 from both sides: 7x = 148-36=112. Then divide by 7: x = 112/7 = 16. | linear_equation |
9,413 | 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 |
9,414 | statistics | easy | What is the mean (average) of 20, 43, 47? | 36.67 | Mean = sum/count. Sum = 20+43+47=110. Count=3. Mean=110/3=36.67. | mean |
9,415 | percentages | easy | What is 44% of 924? | 406.56 | Calculate 44/100 * 924 = 0.44*924 = 406.56. | percentages |
9,416 | arithmetic | easy | What is 953 - 173? | 780 | Subtract: 953 - 173 = 780. | basic_operations |
9,417 | geometry | easy | Find the area of a triangle with base 94 and height 3. | 141 | Area = 0.5*base*height = 0.5*94*3 = 141. | triangle_area |
9,418 | calculus | medium | What is the derivative of 2x^4 with respect to x? | 8x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^4] = 2*4*x^3 = 8x^3. | derivative |
9,419 | algebra | easy | Solve for x: 5x + 12 = -43 | -11 | Subtract 12 from both sides: 5x = -43-12=-55. Then divide by 5: x = -55/5 = -11. | linear_equation |
9,420 | statistics | easy | What is the mean (average) of 47, 26, 9, 37? | 29.75 | Mean = sum/count. Sum = 47+26+9+37=119. Count=4. Mean=119/4=29.75. | mean |
9,421 | number_theory | medium | What is the GCD (greatest common divisor) of 15 and 89? | 1 | Find greatest number dividing both 15 and 89. Divisors common, greatest is 1. | gcd |
9,422 | geometry | easy | Find the area of a rectangle with length 64 and width 82. | 5248 | Area = length * width = 64*82 = 5248. | rectangle_area |
9,423 | arithmetic | easy | What is 348 - 58? | 290 | Subtract: 348 - 58 = 290. | basic_operations |
9,424 | percentages | easy | What is 38% of 362? | 137.56 | Calculate 38/100 * 362 = 0.38*362 = 137.56. | percentages |
9,425 | number_theory | medium | What is the LCM (least common multiple) of 80 and 44? | 880 | LCM = |80*44| / GCD(80,44). GCD=4, so LCM=3520/4=880. | lcm |
9,426 | 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 |
9,427 | algebra | medium | Solve for x: x^2 + 4x - 21 = 0 | x = -7, 3 | Factor: (x - -7)(x - 3) = x^2 -(-4)x + -21 = 0. So x = -7 or 3. Check sum = -4, product = -21. | quadratic |
9,428 | fractions | medium | What is 7/13 - 16/15? Give as simplified fraction. | -103/195 | Common denominator 195. Numerator 105-208=-103. So -103/195 simplifies to -103/195. | fraction_operations |
9,429 | arithmetic | easy | What is 841 - 574? | 267 | Subtract: 841 - 574 = 267. | basic_operations |
9,430 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
9,431 | arithmetic | easy | What is 7 + 38 * 98? Remember order of operations. | 3731 | Order of operations (PEMDAS): first 38*98=3724, then 7+3724=3731. | basic_operations |
9,432 | statistics | easy | What is the mean (average) of 48, 43, 88? | 59.67 | Mean = sum/count. Sum = 48+43+88=179. Count=3. Mean=179/3=59.67. | mean |
9,433 | statistics | easy | What is the mean (average) of 42, 99, 21, 12, 81? | 51 | Mean = sum/count. Sum = 42+99+21+12+81=255. Count=5. Mean=255/5=51.0. | mean |
9,434 | word_problems | easy | If you have 79 books and you buy 15 more books, how many books do you have in total? | 94 | Add initial 79 plus bought 15: 79+15=94. | addition_word |
9,435 | 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 |
9,436 | arithmetic | easy | What is 32 * 9? | 288 | Multiply: 32 * 9 = 288. | basic_operations |
9,437 | 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 |
9,438 | number_theory | medium | What is the GCD (greatest common divisor) of 83 and 87? | 1 | Find greatest number dividing both 83 and 87. Divisors common, greatest is 1. | gcd |
9,439 | arithmetic | easy | What is 26 + 77 * 48? Remember order of operations. | 3722 | Order of operations (PEMDAS): first 77*48=3696, then 26+3696=3722. | basic_operations |
9,440 | arithmetic | easy | What is 21119 / 49? | 431 | Divide: 21119 ÷ 49 = 431 because 49*431=21119. | division |
9,441 | arithmetic | easy | What is 166 + 416 * 37? Remember order of operations. | 15558 | Order of operations (PEMDAS): first 416*37=15392, then 166+15392=15558. | basic_operations |
9,442 | fractions | medium | What is 8/8 + 19/15? Give as simplified fraction. | 34/15 | Common denominator 8*15=120. 8/8=120/120, 19/15=152/120. Sum = 272/120 = 34/15 simplified. | fraction_operations |
9,443 | statistics | easy | What is the mean (average) of 6, 24, 1, 86, 86? | 40.6 | Mean = sum/count. Sum = 6+24+1+86+86=203. Count=5. Mean=203/5=40.6. | mean |
9,444 | percentages | easy | What is 70% of 574? | 401.8 | Calculate 70/100 * 574 = 0.7*574 = 401.8. | percentages |
9,445 | word_problems | easy | If you have 71 apples and you buy 11 more apples, how many apples do you have in total? | 82 | Add initial 71 plus bought 11: 71+11=82. | addition_word |
9,446 | fractions | medium | What is 17/11 * 10/16? Give as simplified fraction. | 85/88 | Multiply numerators: 17*10=170. Denominators: 11*16=176. Simplify by gcd 2 to get 85/88. | fraction_operations |
9,447 | arithmetic | easy | What is 38077 divided by 98? Give answer to 2 decimal places. | 388.54 | Calculate 38077/ 98 = 388.5408, rounded to 2 decimals is 388.54. | division |
9,448 | 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 |
9,449 | percentages | easy | What is 96% of 904? | 867.84 | Calculate 96/100 * 904 = 0.96*904 = 867.84. | percentages |
9,450 | geometry | easy | Find the perimeter of a rectangle with length 95 and width 2. | 194 | Perimeter = 2*(length+width) = 2*(95+2) = 2*97 = 194. | rectangle_perim |
9,451 | percentages | easy | What is 39% of 525? | 204.75 | Calculate 39/100 * 525 = 0.39*525 = 204.75. | percentages |
9,452 | arithmetic | easy | What is 99 * 52? | 5148 | Multiply: 99 * 52 = 5148. | basic_operations |
9,453 | statistics | easy | What is the mean (average) of 20, 94, 53, 40? | 51.75 | Mean = sum/count. Sum = 20+94+53+40=207. Count=4. Mean=207/4=51.75. | mean |
9,454 | geometry | easy | Find the area of a rectangle with length 33 and width 60. | 1980 | Area = length * width = 33*60 = 1980. | rectangle_area |
9,455 | fractions | medium | What is 6/17 - 20/15? Give as simplified fraction. | -50/51 | Common denominator 255. Numerator 90-340=-250. So -250/255 simplifies to -50/51. | fraction_operations |
9,456 | percentages | easy | What is 57% of 609? | 347.13 | Calculate 57/100 * 609 = 0.57*609 = 347.13. | percentages |
9,457 | roots | easy | What is the square root of 1156? | 34 | Find number that when squared gives 1156. 34*34=1156, so sqrt(1156)=34. | square_roots |
9,458 | arithmetic | easy | What is 710 - 700? | 10 | Subtract: 710 - 700 = 10. | basic_operations |
9,459 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
9,460 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
9,461 | arithmetic | easy | What is 955 - 314? | 641 | Subtract: 955 - 314 = 641. | basic_operations |
9,462 | fractions | medium | What is 19/12 - 8/4? Give as simplified fraction. | -5/12 | Common denominator 48. Numerator 76-96=-20. So -20/48 simplifies to -5/12. | fraction_operations |
9,463 | roots | easy | What is the square root of 784? | 28 | Find number that when squared gives 784. 28*28=784, so sqrt(784)=28. | square_roots |
9,464 | calculus | medium | What is the derivative of 3x^4 with respect to x? | 12x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^4] = 3*4*x^3 = 12x^3. | derivative |
9,465 | fractions | medium | What is 20/10 * 1/6? Give as simplified fraction. | 1/3 | Multiply numerators: 20*1=20. Denominators: 10*6=60. Simplify by gcd 20 to get 1/3. | fraction_operations |
9,466 | calculus | medium | What is the derivative of 10x^8 with respect to x? | 80x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^8] = 10*8*x^7 = 80x^7. | derivative |
9,467 | arithmetic | easy | What is 868 + 569 * 73? Remember order of operations. | 42405 | Order of operations (PEMDAS): first 569*73=41537, then 868+41537=42405. | basic_operations |
9,468 | calculus | medium | What is the derivative of 7x^5 with respect to x? | 35x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^5] = 7*5*x^4 = 35x^4. | derivative |
9,469 | arithmetic | easy | What is 69 * 24? | 1656 | Multiply: 69 * 24 = 1656. | basic_operations |
9,470 | algebra | easy | Solve for x: 8x + 35 = 195 | 20 | Subtract 35 from both sides: 8x = 195-35=160. Then divide by 8: x = 160/8 = 20. | linear_equation |
9,471 | algebra | easy | Solve for x: 9x - 1 = 134 | 15 | Add 1 to both sides: 9x = 134+1=135. Then x = 135/9 = 15. | linear_equation |
9,472 | statistics | easy | What is the mean (average) of 24, 7, 29? | 20 | Mean = sum/count. Sum = 24+7+29=60. Count=3. Mean=60/3=20.0. | mean |
9,473 | word_problems | easy | If you have 31 candies and you buy 15 more candies, how many candies do you have in total? | 46 | Add initial 31 plus bought 15: 31+15=46. | addition_word |
9,474 | geometry | easy | Find the area of a rectangle with length 50 and width 87. | 4350 | Area = length * width = 50*87 = 4350. | rectangle_area |
9,475 | arithmetic | easy | What is 528 - 209? | 319 | Subtract: 528 - 209 = 319. | basic_operations |
9,476 | roots | easy | What is the square root of 1024? | 32 | Find number that when squared gives 1024. 32*32=1024, so sqrt(1024)=32. | square_roots |
9,477 | percentages | easy | What is 7% of 951? | 66.57 | Calculate 7/100 * 951 = 0.07*951 = 66.57. | percentages |
9,478 | geometry | easy | Find the area of a circle with radius 21. Use pi=3.14159, round to 2 decimals. | 1385.44 | Area = pi*r^2 = 3.14159*21^2 = 3.14159*441 = 1385.44. | circle_area |
9,479 | calculus | medium | What is the derivative of 6x^7 with respect to x? | 42x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^7] = 6*7*x^6 = 42x^6. | derivative |
9,480 | word_problems | easy | If you have 89 dollars and you buy 26 more dollars, how many dollars do you have in total? | 115 | Add initial 89 plus bought 26: 89+26=115. | addition_word |
9,481 | word_problems | easy | If you have 69 pencils and you buy 25 more pencils, how many pencils do you have in total? | 94 | Add initial 69 plus bought 25: 69+25=94. | addition_word |
9,482 | arithmetic | easy | What is 908 + 56 * 46? Remember order of operations. | 3484 | Order of operations (PEMDAS): first 56*46=2576, then 908+2576=3484. | basic_operations |
9,483 | algebra | easy | Solve for x: 13x + 31 = 161 | 10 | Subtract 31 from both sides: 13x = 161-31=130. Then divide by 13: x = 130/13 = 10. | linear_equation |
9,484 | 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 |
9,485 | geometry | easy | Find the area of a triangle with base 34 and height 28. | 476 | Area = 0.5*base*height = 0.5*34*28 = 476. | triangle_area |
9,486 | 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 |
9,487 | 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 |
9,488 | number_theory | medium | What is the LCM (least common multiple) of 53 and 14? | 742 | LCM = |53*14| / GCD(53,14). GCD=1, so LCM=742/1=742. | lcm |
9,489 | 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 |
9,490 | fractions | medium | What is 9/10 + 6/3? Give as simplified fraction. | 29/10 | Common denominator 10*3=30. 9/10=27/30, 6/3=60/30. Sum = 87/30 = 29/10 simplified. | fraction_operations |
9,491 | exponents | easy | What is 4^2? | 16 | 4^2 means multiply 4 by itself 2 times: 4*4 = 16. | exponents |
9,492 | 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 |
9,493 | geometry | easy | Find the circumference of a circle with radius 46. Use pi=3.14159, round to 2 decimals. | 289.03 | Circumference = 2*pi*r = 2*3.14159*46 = 289.03. | circle_circum |
9,494 | arithmetic | easy | What is 3479 / 49? | 71 | Divide: 3479 ÷ 49 = 71 because 49*71=3479. | division |
9,495 | roots | easy | What is the square root of 36? | 6 | Find number that when squared gives 36. 6*6=36, so sqrt(36)=6. | square_roots |
9,496 | arithmetic | easy | What is 995 - 586? | 409 | Subtract: 995 - 586 = 409. | basic_operations |
9,497 | arithmetic | easy | What is 824 - 349? | 475 | Subtract: 824 - 349 = 475. | basic_operations |
9,498 | percentages | easy | What is 29% of 325? | 94.25 | Calculate 29/100 * 325 = 0.29*325 = 94.25. | percentages |
9,499 | roots | easy | What is the square root of 16? | 4 | Find number that when squared gives 16. 4*4=16, so sqrt(16)=4. | square_roots |
9,500 | arithmetic | easy | What is 641 + 270? | 911 | Add the two numbers: 641 + 270 = 911. | basic_operations |
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