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 |
|---|---|---|---|---|---|---|
1,401 | 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 |
1,402 | 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 |
1,403 | roots | easy | What is the square root of 1521? | 39 | Find number that when squared gives 1521. 39*39=1521, so sqrt(1521)=39. | square_roots |
1,404 | percentages | easy | What is 73% of 559? | 408.07 | Calculate 73/100 * 559 = 0.73*559 = 408.07. | percentages |
1,405 | fractions | medium | What is 13/19 - 9/13? Give as simplified fraction. | -2/247 | Common denominator 247. Numerator 169-171=-2. So -2/247 simplifies to -2/247. | fraction_operations |
1,406 | word_problems | easy | If you have 55 apples and you buy 1 more apples, how many apples do you have in total? | 56 | Add initial 55 plus bought 1: 55+1=56. | addition_word |
1,407 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
1,408 | algebra | easy | Solve for x: 10x - 50 = -60 | -1 | Add 50 to both sides: 10x = -60+50=-10. Then x = -10/10 = -1. | linear_equation |
1,409 | percentages | easy | What is 28% of 877? | 245.56 | Calculate 28/100 * 877 = 0.28*877 = 245.56. | percentages |
1,410 | roots | easy | What is the square root of 4? | 2 | Find number that when squared gives 4. 2*2=4, so sqrt(4)=2. | square_roots |
1,411 | geometry | easy | Find the area of a triangle with base 66 and height 72. | 2376 | Area = 0.5*base*height = 0.5*66*72 = 2376. | triangle_area |
1,412 | algebra | easy | Solve for x: 4x - 46 = -10 | 9 | Add 46 to both sides: 4x = -10+46=36. Then x = 36/4 = 9. | linear_equation |
1,413 | number_theory | medium | What is the LCM (least common multiple) of 20 and 18? | 180 | LCM = |20*18| / GCD(20,18). GCD=2, so LCM=360/2=180. | lcm |
1,414 | number_theory | medium | What is the GCD (greatest common divisor) of 75 and 32? | 1 | Find greatest number dividing both 75 and 32. Divisors common, greatest is 1. | gcd |
1,415 | geometry | easy | Find the area of a circle with radius 6. Use pi=3.14159, round to 2 decimals. | 113.1 | Area = pi*r^2 = 3.14159*6^2 = 3.14159*36 = 113.1. | circle_area |
1,416 | calculus | medium | What is the derivative of 4x^6 with respect to x? | 24x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^6] = 4*6*x^5 = 24x^5. | derivative |
1,417 | arithmetic | easy | What is 741 + 333? | 1074 | Add the two numbers: 741 + 333 = 1074. | basic_operations |
1,418 | arithmetic | easy | What is 25662 / 78? | 329 | Divide: 25662 ÷ 78 = 329 because 78*329=25662. | division |
1,419 | calculus | medium | What is the derivative of 1x^2 with respect to x? | 2x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^2] = 1*2*x^1 = 2x. | derivative |
1,420 | roots | easy | What is the square root of 529? | 23 | Find number that when squared gives 529. 23*23=529, so sqrt(529)=23. | square_roots |
1,421 | 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 |
1,422 | arithmetic | easy | What is 11700 / 100? | 117 | Divide: 11700 ÷ 100 = 117 because 100*117=11700. | division |
1,423 | calculus | medium | What is the derivative of 5x^2 with respect to x? | 10x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^2] = 5*2*x^1 = 10x. | derivative |
1,424 | arithmetic | easy | What is 327 + 553? | 880 | Add the two numbers: 327 + 553 = 880. | basic_operations |
1,425 | percentages | easy | What is 20% of 52? | 10.4 | Calculate 20/100 * 52 = 0.2*52 = 10.4. | percentages |
1,426 | 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 |
1,427 | arithmetic | easy | What is 443 + 228 * 38? Remember order of operations. | 9107 | Order of operations (PEMDAS): first 228*38=8664, then 443+8664=9107. | basic_operations |
1,428 | 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 |
1,429 | statistics | easy | What is the mean (average) of 96, 7, 71, 52, 34? | 52 | Mean = sum/count. Sum = 96+7+71+52+34=260. Count=5. Mean=260/5=52.0. | mean |
1,430 | arithmetic | easy | What is 17 + 98 * 56? Remember order of operations. | 5505 | Order of operations (PEMDAS): first 98*56=5488, then 17+5488=5505. | basic_operations |
1,431 | fractions | medium | What is 16/14 * 19/8? Give as simplified fraction. | 19/7 | Multiply numerators: 16*19=304. Denominators: 14*8=112. Simplify by gcd 16 to get 19/7. | fraction_operations |
1,432 | percentages | easy | What is 32% of 74? | 23.68 | Calculate 32/100 * 74 = 0.32*74 = 23.68. | percentages |
1,433 | geometry | easy | Find the circumference of a circle with radius 21. Use pi=3.14159, round to 2 decimals. | 131.95 | Circumference = 2*pi*r = 2*3.14159*21 = 131.95. | circle_circum |
1,434 | arithmetic | easy | What is 688 - 116? | 572 | Subtract: 688 - 116 = 572. | basic_operations |
1,435 | fractions | medium | What is 11/13 - 20/2? Give as simplified fraction. | -119/13 | Common denominator 26. Numerator 22-260=-238. So -238/26 simplifies to -119/13. | fraction_operations |
1,436 | algebra | medium | Solve for x: x^2 - 10x + 9 = 0 | x = 1, 9 | Factor: (x - 1)(x - 9) = x^2 -(10)x + 9 = 0. So x = 1 or 9. Check sum = 10, product = 9. | quadratic |
1,437 | word_problems | easy | If you have 84 candies and you buy 10 more candies, how many candies do you have in total? | 94 | Add initial 84 plus bought 10: 84+10=94. | addition_word |
1,438 | arithmetic | easy | What is 947 + 838? | 1785 | Add the two numbers: 947 + 838 = 1785. | basic_operations |
1,439 | algebra | easy | Solve for x: 3x - 36 = -87 | -17 | Add 36 to both sides: 3x = -87+36=-51. Then x = -51/3 = -17. | linear_equation |
1,440 | percentages | easy | What is 80% of 949? | 759.2 | Calculate 80/100 * 949 = 0.8*949 = 759.2. | percentages |
1,441 | algebra | easy | Solve for x: 10x - 49 = -39 | 1 | Add 49 to both sides: 10x = -39+49=10. Then x = 10/10 = 1. | linear_equation |
1,442 | arithmetic | easy | What is 9471 / 41? | 231 | Divide: 9471 ÷ 41 = 231 because 41*231=9471. | division |
1,443 | roots | easy | What is the square root of 196? | 14 | Find number that when squared gives 196. 14*14=196, so sqrt(196)=14. | square_roots |
1,444 | fractions | medium | What is 7/19 * 17/10? Give as simplified fraction. | 119/190 | Multiply numerators: 7*17=119. Denominators: 19*10=190. Simplify by gcd 1 to get 119/190. | fraction_operations |
1,445 | statistics | easy | What is the mean (average) of 94, 19, 89, 90, 86? | 75.6 | Mean = sum/count. Sum = 94+19+89+90+86=378. Count=5. Mean=378/5=75.6. | mean |
1,446 | arithmetic | easy | What is 6 + 33 * 85? Remember order of operations. | 2811 | Order of operations (PEMDAS): first 33*85=2805, then 6+2805=2811. | basic_operations |
1,447 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
1,448 | arithmetic | easy | What is 477 + 671? | 1148 | Add the two numbers: 477 + 671 = 1148. | basic_operations |
1,449 | geometry | easy | Find the area of a circle with radius 7. Use pi=3.14159, round to 2 decimals. | 153.94 | Area = pi*r^2 = 3.14159*7^2 = 3.14159*49 = 153.94. | circle_area |
1,450 | arithmetic | easy | What is 889 + 300 * 84? Remember order of operations. | 26089 | Order of operations (PEMDAS): first 300*84=25200, then 889+25200=26089. | basic_operations |
1,451 | 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 |
1,452 | 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 |
1,453 | arithmetic | easy | What is 204 - 191? | 13 | Subtract: 204 - 191 = 13. | basic_operations |
1,454 | arithmetic | easy | What is 254 - 41? | 213 | Subtract: 254 - 41 = 213. | basic_operations |
1,455 | 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 |
1,456 | arithmetic | easy | What is 701 - 356? | 345 | Subtract: 701 - 356 = 345. | basic_operations |
1,457 | percentages | easy | What is 65% of 283? | 183.95 | Calculate 65/100 * 283 = 0.65*283 = 183.95. | percentages |
1,458 | arithmetic | easy | What is 641 + 264? | 905 | Add the two numbers: 641 + 264 = 905. | basic_operations |
1,459 | geometry | easy | Find the perimeter of a rectangle with length 20 and width 44. | 128 | Perimeter = 2*(length+width) = 2*(20+44) = 2*64 = 128. | rectangle_perim |
1,460 | 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 |
1,461 | arithmetic | easy | What is 79 * 81? | 6399 | Multiply: 79 * 81 = 6399. | basic_operations |
1,462 | 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 |
1,463 | algebra | easy | Solve for x: 14x - 11 = 241 | 18 | Add 11 to both sides: 14x = 241+11=252. Then x = 252/14 = 18. | linear_equation |
1,464 | roots | easy | What is the square root of 841? | 29 | Find number that when squared gives 841. 29*29=841, so sqrt(841)=29. | square_roots |
1,465 | algebra | easy | Solve for x: 7x + 33 = -51 | -12 | Subtract 33 from both sides: 7x = -51-33=-84. Then divide by 7: x = -84/7 = -12. | linear_equation |
1,466 | fractions | medium | What is 5/11 - 17/6? Give as simplified fraction. | -157/66 | Common denominator 66. Numerator 30-187=-157. So -157/66 simplifies to -157/66. | fraction_operations |
1,467 | algebra | easy | Solve for x: 19x - 30 = -30 | 0 | Add 30 to both sides: 19x = -30+30=0. Then x = 0/19 = 0. | linear_equation |
1,468 | arithmetic | easy | What is 571 + 546 * 93? Remember order of operations. | 51349 | Order of operations (PEMDAS): first 546*93=50778, then 571+50778=51349. | basic_operations |
1,469 | algebra | easy | Solve for x: 1x + 47 = 47 | 0 | Subtract 47 from both sides: 1x = 47-47=0. Then divide by 1: x = 0/1 = 0. | linear_equation |
1,470 | 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 |
1,471 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
1,472 | algebra | easy | Solve for x: 7x - 37 = -121 | -12 | Add 37 to both sides: 7x = -121+37=-84. Then x = -84/7 = -12. | linear_equation |
1,473 | algebra | medium | Solve for x: x^2 + 1x - 90 = 0 | x = -10, 9 | Factor: (x - -10)(x - 9) = x^2 -(-1)x + -90 = 0. So x = -10 or 9. Check sum = -1, product = -90. | quadratic |
1,474 | geometry | easy | Find the area of a triangle with base 73 and height 79. | 2883.5 | Area = 0.5*base*height = 0.5*73*79 = 2883.5. | triangle_area |
1,475 | percentages | easy | What is 77% of 238? | 183.26 | Calculate 77/100 * 238 = 0.77*238 = 183.26. | percentages |
1,476 | percentages | easy | What is 88% of 27? | 23.76 | Calculate 88/100 * 27 = 0.88*27 = 23.76. | percentages |
1,477 | number_theory | medium | What is the LCM (least common multiple) of 11 and 89? | 979 | LCM = |11*89| / GCD(11,89). GCD=1, so LCM=979/1=979. | lcm |
1,478 | algebra | easy | Solve for x: 17x + 27 = 197 | 10 | Subtract 27 from both sides: 17x = 197-27=170. Then divide by 17: x = 170/17 = 10. | linear_equation |
1,479 | number_theory | medium | What is the LCM (least common multiple) of 24 and 50? | 600 | LCM = |24*50| / GCD(24,50). GCD=2, so LCM=1200/2=600. | lcm |
1,480 | statistics | easy | What is the mean (average) of 21, 25, 29? | 25 | Mean = sum/count. Sum = 21+25+29=75. Count=3. Mean=75/3=25.0. | mean |
1,481 | arithmetic | easy | What is 783 - 419? | 364 | Subtract: 783 - 419 = 364. | basic_operations |
1,482 | percentages | easy | What is 96% of 688? | 660.48 | Calculate 96/100 * 688 = 0.96*688 = 660.48. | percentages |
1,483 | fractions | medium | What is 7/4 * 6/16? Give as simplified fraction. | 21/32 | Multiply numerators: 7*6=42. Denominators: 4*16=64. Simplify by gcd 2 to get 21/32. | fraction_operations |
1,484 | statistics | easy | What is the mean (average) of 42, 59, 32, 55, 52? | 48 | Mean = sum/count. Sum = 42+59+32+55+52=240. Count=5. Mean=240/5=48.0. | mean |
1,485 | arithmetic | easy | What is 41 * 51? | 2091 | Multiply: 41 * 51 = 2091. | basic_operations |
1,486 | arithmetic | easy | What is 534 - 112? | 422 | Subtract: 534 - 112 = 422. | basic_operations |
1,487 | arithmetic | easy | What is 51 + 95 * 67? Remember order of operations. | 6416 | Order of operations (PEMDAS): first 95*67=6365, then 51+6365=6416. | basic_operations |
1,488 | calculus | medium | What is the derivative of 1x^6 with respect to x? | 6x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^6] = 1*6*x^5 = 6x^5. | derivative |
1,489 | fractions | medium | What is 10/16 - 13/11? Give as simplified fraction. | -49/88 | Common denominator 176. Numerator 110-208=-98. So -98/176 simplifies to -49/88. | fraction_operations |
1,490 | word_problems | easy | If you have 26 dollars and you buy 28 more dollars, how many dollars do you have in total? | 54 | Add initial 26 plus bought 28: 26+28=54. | addition_word |
1,491 | arithmetic | easy | What is 707 - 530? | 177 | Subtract: 707 - 530 = 177. | basic_operations |
1,492 | word_problems | easy | If you have 16 pencils and you buy 47 more pencils, how many pencils do you have in total? | 63 | Add initial 16 plus bought 47: 16+47=63. | addition_word |
1,493 | arithmetic | easy | What is 9975 / 25? | 399 | Divide: 9975 ÷ 25 = 399 because 25*399=9975. | division |
1,494 | calculus | medium | What is the derivative of 6x^5 with respect to x? | 30x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^5] = 6*5*x^4 = 30x^4. | derivative |
1,495 | word_problems | easy | If you have 8 candies and you buy 12 more candies, how many candies do you have in total? | 20 | Add initial 8 plus bought 12: 8+12=20. | addition_word |
1,496 | fractions | medium | What is 15/4 * 9/12? Give as simplified fraction. | 45/16 | Multiply numerators: 15*9=135. Denominators: 4*12=48. Simplify by gcd 3 to get 45/16. | fraction_operations |
1,497 | algebra | medium | Solve for x: x^2 + 15x + 56 = 0 | x = -7, -8 | Factor: (x - -7)(x - -8) = x^2 -(-15)x + 56 = 0. So x = -7 or -8. Check sum = -15, product = 56. | quadratic |
1,498 | arithmetic | easy | What is 21252 / 92? | 231 | Divide: 21252 ÷ 92 = 231 because 92*231=21252. | division |
1,499 | arithmetic | easy | What is 66 * 79? | 5214 | Multiply: 66 * 79 = 5214. | basic_operations |
1,500 | 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 |
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