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 |
|---|---|---|---|---|---|---|
4,401 | geometry | easy | Find the area of a triangle with base 26 and height 81. | 1053 | Area = 0.5*base*height = 0.5*26*81 = 1053. | triangle_area |
4,402 | calculus | medium | What is the derivative of 10x^7 with respect to x? | 70x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^7] = 10*7*x^6 = 70x^6. | derivative |
4,403 | number_theory | medium | What is the LCM (least common multiple) of 13 and 49? | 637 | LCM = |13*49| / GCD(13,49). GCD=1, so LCM=637/1=637. | lcm |
4,404 | fractions | medium | What is 8/12 - 2/12? Give as simplified fraction. | 1/2 | Common denominator 144. Numerator 96-24=72. So 72/144 simplifies to 1/2. | fraction_operations |
4,405 | statistics | easy | What is the mean (average) of 69, 43, 64? | 58.67 | Mean = sum/count. Sum = 69+43+64=176. Count=3. Mean=176/3=58.67. | mean |
4,406 | percentages | easy | What is 56% of 981? | 549.36 | Calculate 56/100 * 981 = 0.56*981 = 549.36. | percentages |
4,407 | arithmetic | easy | What is 18 * 30? | 540 | Multiply: 18 * 30 = 540. | basic_operations |
4,408 | arithmetic | easy | What is 95 + 10 * 53? Remember order of operations. | 625 | Order of operations (PEMDAS): first 10*53=530, then 95+530=625. | basic_operations |
4,409 | word_problems | easy | If you have 96 books and you buy 9 more books, how many books do you have in total? | 105 | Add initial 96 plus bought 9: 96+9=105. | addition_word |
4,410 | fractions | medium | What is 7/13 - 4/3? Give as simplified fraction. | -31/39 | Common denominator 39. Numerator 21-52=-31. So -31/39 simplifies to -31/39. | fraction_operations |
4,411 | arithmetic | easy | What is 941 + 602? | 1543 | Add the two numbers: 941 + 602 = 1543. | basic_operations |
4,412 | word_problems | easy | If you have 31 dollars and you buy 6 more dollars, how many dollars do you have in total? | 37 | Add initial 31 plus bought 6: 31+6=37. | addition_word |
4,413 | percentages | easy | What is 79% of 122? | 96.38 | Calculate 79/100 * 122 = 0.79*122 = 96.38. | percentages |
4,414 | arithmetic | easy | What is 96 * 81? | 7776 | Multiply: 96 * 81 = 7776. | basic_operations |
4,415 | percentages | easy | What is 6% of 488? | 29.28 | Calculate 6/100 * 488 = 0.06*488 = 29.28. | percentages |
4,416 | geometry | easy | Find the area of a triangle with base 22 and height 85. | 935 | Area = 0.5*base*height = 0.5*22*85 = 935. | triangle_area |
4,417 | arithmetic | easy | What is 949 + 863? | 1812 | Add the two numbers: 949 + 863 = 1812. | basic_operations |
4,418 | roots | easy | What is the square root of 49? | 7 | Find number that when squared gives 49. 7*7=49, so sqrt(49)=7. | square_roots |
4,419 | arithmetic | easy | What is 36 * 1? | 36 | Multiply: 36 * 1 = 36. | basic_operations |
4,420 | number_theory | medium | What is the LCM (least common multiple) of 46 and 97? | 4462 | LCM = |46*97| / GCD(46,97). GCD=1, so LCM=4462/1=4462. | lcm |
4,421 | algebra | medium | Solve for x: x^2 + 17x + 70 = 0 | x = -10, -7 | Factor: (x - -10)(x - -7) = x^2 -(-17)x + 70 = 0. So x = -10 or -7. Check sum = -17, product = 70. | quadratic |
4,422 | arithmetic | easy | What is 684 + 282? | 966 | Add the two numbers: 684 + 282 = 966. | basic_operations |
4,423 | percentages | easy | What is 95% of 47? | 44.65 | Calculate 95/100 * 47 = 0.95*47 = 44.65. | percentages |
4,424 | 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 |
4,425 | fractions | medium | What is 5/11 * 15/3? Give as simplified fraction. | 25/11 | Multiply numerators: 5*15=75. Denominators: 11*3=33. Simplify by gcd 3 to get 25/11. | fraction_operations |
4,426 | word_problems | easy | If you have 33 books and you buy 40 more books, how many books do you have in total? | 73 | Add initial 33 plus bought 40: 33+40=73. | addition_word |
4,427 | arithmetic | easy | What is 121 + 744? | 865 | Add the two numbers: 121 + 744 = 865. | basic_operations |
4,428 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
4,429 | algebra | easy | Solve for x: 3x - 30 = 0 | 10 | Add 30 to both sides: 3x = 0+30=30. Then x = 30/3 = 10. | linear_equation |
4,430 | 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 |
4,431 | number_theory | medium | What is the GCD (greatest common divisor) of 5 and 69? | 1 | Find greatest number dividing both 5 and 69. Divisors common, greatest is 1. | gcd |
4,432 | 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 |
4,433 | arithmetic | easy | What is 783 + 162 * 28? Remember order of operations. | 5319 | Order of operations (PEMDAS): first 162*28=4536, then 783+4536=5319. | basic_operations |
4,434 | arithmetic | easy | What is 6726 / 57? | 118 | Divide: 6726 ÷ 57 = 118 because 57*118=6726. | division |
4,435 | geometry | easy | Find the area of a triangle with base 92 and height 72. | 3312 | Area = 0.5*base*height = 0.5*92*72 = 3312. | triangle_area |
4,436 | 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 |
4,437 | algebra | medium | Solve for x: x^2 - 16x + 63 = 0 | x = 9, 7 | Factor: (x - 9)(x - 7) = x^2 -(16)x + 63 = 0. So x = 9 or 7. Check sum = 16, product = 63. | quadratic |
4,438 | fractions | medium | What is 15/15 - 6/16? Give as simplified fraction. | 5/8 | Common denominator 240. Numerator 240-90=150. So 150/240 simplifies to 5/8. | fraction_operations |
4,439 | 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 |
4,440 | fractions | medium | What is 1/8 - 13/11? Give as simplified fraction. | -93/88 | Common denominator 88. Numerator 11-104=-93. So -93/88 simplifies to -93/88. | fraction_operations |
4,441 | word_problems | easy | If you have 16 apples and you buy 38 more apples, how many apples do you have in total? | 54 | Add initial 16 plus bought 38: 16+38=54. | addition_word |
4,442 | algebra | easy | Solve for x: 2x - 21 = 7 | 14 | Add 21 to both sides: 2x = 7+21=28. Then x = 28/2 = 14. | linear_equation |
4,443 | arithmetic | easy | What is 17958 / 73? | 246 | Divide: 17958 ÷ 73 = 246 because 73*246=17958. | division |
4,444 | arithmetic | easy | What is 531 + 185? | 716 | Add the two numbers: 531 + 185 = 716. | basic_operations |
4,445 | percentages | easy | What is 7% of 521? | 36.47 | Calculate 7/100 * 521 = 0.07*521 = 36.47. | percentages |
4,446 | arithmetic | easy | What is 248 + 552? | 800 | Add the two numbers: 248 + 552 = 800. | basic_operations |
4,447 | arithmetic | easy | What is 18 + 23 * 43? Remember order of operations. | 1007 | Order of operations (PEMDAS): first 23*43=989, then 18+989=1007. | basic_operations |
4,448 | statistics | easy | What is the mean (average) of 18, 29, 90? | 45.67 | Mean = sum/count. Sum = 18+29+90=137. Count=3. Mean=137/3=45.67. | mean |
4,449 | arithmetic | easy | What is 531 + 152 * 80? Remember order of operations. | 12691 | Order of operations (PEMDAS): first 152*80=12160, then 531+12160=12691. | basic_operations |
4,450 | arithmetic | easy | What is 779 + 756 * 42? Remember order of operations. | 32531 | Order of operations (PEMDAS): first 756*42=31752, then 779+31752=32531. | basic_operations |
4,451 | geometry | easy | Find the area of a circle with radius 2. Use pi=3.14159, round to 2 decimals. | 12.57 | Area = pi*r^2 = 3.14159*2^2 = 3.14159*4 = 12.57. | circle_area |
4,452 | arithmetic | easy | What is 784 + 12? | 796 | Add the two numbers: 784 + 12 = 796. | basic_operations |
4,453 | arithmetic | easy | What is 884 + 830 * 93? Remember order of operations. | 78074 | Order of operations (PEMDAS): first 830*93=77190, then 884+77190=78074. | basic_operations |
4,454 | algebra | medium | Solve for x: x^2 - 18x + 80 = 0 | x = 10, 8 | Factor: (x - 10)(x - 8) = x^2 -(18)x + 80 = 0. So x = 10 or 8. Check sum = 18, product = 80. | quadratic |
4,455 | arithmetic | easy | What is 705 - 85? | 620 | Subtract: 705 - 85 = 620. | basic_operations |
4,456 | arithmetic | easy | What is 23316 / 58? | 402 | Divide: 23316 ÷ 58 = 402 because 58*402=23316. | division |
4,457 | arithmetic | easy | What is 4 + 93 * 96? Remember order of operations. | 8932 | Order of operations (PEMDAS): first 93*96=8928, then 4+8928=8932. | basic_operations |
4,458 | number_theory | medium | What is the GCD (greatest common divisor) of 41 and 49? | 1 | Find greatest number dividing both 41 and 49. Divisors common, greatest is 1. | gcd |
4,459 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
4,460 | algebra | medium | Solve for x: x^2 + 1x - 56 = 0 | x = -8, 7 | Factor: (x - -8)(x - 7) = x^2 -(-1)x + -56 = 0. So x = -8 or 7. Check sum = -1, product = -56. | quadratic |
4,461 | algebra | easy | Solve for x: 20x + 35 = 355 | 16 | Subtract 35 from both sides: 20x = 355-35=320. Then divide by 20: x = 320/20 = 16. | linear_equation |
4,462 | statistics | easy | What is the mean (average) of 63, 67, 99, 10? | 59.75 | Mean = sum/count. Sum = 63+67+99+10=239. Count=4. Mean=239/4=59.75. | mean |
4,463 | algebra | easy | Solve for x: 6x + 47 = 35 | -2 | Subtract 47 from both sides: 6x = 35-47=-12. Then divide by 6: x = -12/6 = -2. | linear_equation |
4,464 | arithmetic | easy | What is 322 + 389? | 711 | Add the two numbers: 322 + 389 = 711. | basic_operations |
4,465 | word_problems | easy | If you have 8 pencils and you buy 3 more pencils, how many pencils do you have in total? | 11 | Add initial 8 plus bought 3: 8+3=11. | addition_word |
4,466 | arithmetic | easy | What is 3 + 678? | 681 | Add the two numbers: 3 + 678 = 681. | basic_operations |
4,467 | 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 |
4,468 | number_theory | medium | What is the LCM (least common multiple) of 93 and 67? | 6231 | LCM = |93*67| / GCD(93,67). GCD=1, so LCM=6231/1=6231. | lcm |
4,469 | algebra | easy | Solve for x: 13x - 2 = 206 | 16 | Add 2 to both sides: 13x = 206+2=208. Then x = 208/13 = 16. | linear_equation |
4,470 | arithmetic | easy | What is 6784 / 32? | 212 | Divide: 6784 ÷ 32 = 212 because 32*212=6784. | division |
4,471 | percentages | easy | What is 42% of 379? | 159.18 | Calculate 42/100 * 379 = 0.42*379 = 159.18. | percentages |
4,472 | arithmetic | easy | What is 49 + 94 * 22? Remember order of operations. | 2117 | Order of operations (PEMDAS): first 94*22=2068, then 49+2068=2117. | basic_operations |
4,473 | arithmetic | easy | What is 641 + 482 * 7? Remember order of operations. | 4015 | Order of operations (PEMDAS): first 482*7=3374, then 641+3374=4015. | basic_operations |
4,474 | 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 |
4,475 | word_problems | easy | If you have 84 apples and you buy 23 more apples, how many apples do you have in total? | 107 | Add initial 84 plus bought 23: 84+23=107. | addition_word |
4,476 | algebra | medium | Solve for x: x^2 + 14x + 48 = 0 | x = -6, -8 | Factor: (x - -6)(x - -8) = x^2 -(-14)x + 48 = 0. So x = -6 or -8. Check sum = -14, product = 48. | quadratic |
4,477 | arithmetic | easy | What is 275 + 822? | 1097 | Add the two numbers: 275 + 822 = 1097. | basic_operations |
4,478 | geometry | easy | Find the area of a triangle with base 16 and height 72. | 576 | Area = 0.5*base*height = 0.5*16*72 = 576. | triangle_area |
4,479 | arithmetic | easy | What is 641 - 268? | 373 | Subtract: 641 - 268 = 373. | basic_operations |
4,480 | algebra | medium | Solve for x: x^2 - 12x + 35 = 0 | x = 7, 5 | Factor: (x - 7)(x - 5) = x^2 -(12)x + 35 = 0. So x = 7 or 5. Check sum = 12, product = 35. | quadratic |
4,481 | statistics | easy | What is the mean (average) of 67, 25, 49? | 47 | Mean = sum/count. Sum = 67+25+49=141. Count=3. Mean=141/3=47.0. | mean |
4,482 | fractions | medium | What is 17/4 + 13/10? Give as simplified fraction. | 111/20 | Common denominator 4*10=40. 17/4=170/40, 13/10=52/40. Sum = 222/40 = 111/20 simplified. | fraction_operations |
4,483 | algebra | easy | Solve for x: 3x - 32 = -17 | 5 | Add 32 to both sides: 3x = -17+32=15. Then x = 15/3 = 5. | linear_equation |
4,484 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
4,485 | 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 |
4,486 | algebra | medium | Solve for x: x^2 + 13x + 30 = 0 | x = -10, -3 | Factor: (x - -10)(x - -3) = x^2 -(-13)x + 30 = 0. So x = -10 or -3. Check sum = -13, product = 30. | quadratic |
4,487 | 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 |
4,488 | algebra | easy | Solve for x: 12x + 42 = 198 | 13 | Subtract 42 from both sides: 12x = 198-42=156. Then divide by 12: x = 156/12 = 13. | linear_equation |
4,489 | 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 |
4,490 | arithmetic | easy | What is 20172 / 41? | 492 | Divide: 20172 ÷ 41 = 492 because 41*492=20172. | division |
4,491 | word_problems | easy | If you have 10 dollars and you buy 25 more dollars, how many dollars do you have in total? | 35 | Add initial 10 plus bought 25: 10+25=35. | addition_word |
4,492 | 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 |
4,493 | number_theory | medium | What is the GCD (greatest common divisor) of 97 and 38? | 1 | Find greatest number dividing both 97 and 38. Divisors common, greatest is 1. | gcd |
4,494 | 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 |
4,495 | number_theory | medium | What is the GCD (greatest common divisor) of 44 and 70? | 2 | Find greatest number dividing both 44 and 70. Divisors common, greatest is 2. | gcd |
4,496 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
4,497 | arithmetic | easy | What is 482 - 387? | 95 | Subtract: 482 - 387 = 95. | basic_operations |
4,498 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
4,499 | percentages | easy | What is 94% of 112? | 105.28 | Calculate 94/100 * 112 = 0.94*112 = 105.28. | percentages |
4,500 | number_theory | medium | What is the GCD (greatest common divisor) of 31 and 72? | 1 | Find greatest number dividing both 31 and 72. Divisors common, greatest is 1. | gcd |
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