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 |
|---|---|---|---|---|---|---|
10,401 | 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 |
10,402 | word_problems | easy | If you have 44 apples and you buy 39 more apples, how many apples do you have in total? | 83 | Add initial 44 plus bought 39: 44+39=83. | addition_word |
10,403 | algebra | easy | Solve for x: 3x + 16 = 49 | 11 | Subtract 16 from both sides: 3x = 49-16=33. Then divide by 3: x = 33/3 = 11. | linear_equation |
10,404 | arithmetic | easy | What is 396 + 347 * 2? Remember order of operations. | 1090 | Order of operations (PEMDAS): first 347*2=694, then 396+694=1090. | basic_operations |
10,405 | geometry | easy | Find the circumference of a circle with radius 6. Use pi=3.14159, round to 2 decimals. | 37.7 | Circumference = 2*pi*r = 2*3.14159*6 = 37.7. | circle_circum |
10,406 | number_theory | medium | What is the GCD (greatest common divisor) of 75 and 2? | 1 | Find greatest number dividing both 75 and 2. Divisors common, greatest is 1. | gcd |
10,407 | arithmetic | easy | What is 3772 / 23? | 164 | Divide: 3772 ÷ 23 = 164 because 23*164=3772. | division |
10,408 | fractions | medium | What is 3/15 - 2/2? Give as simplified fraction. | -4/5 | Common denominator 30. Numerator 6-30=-24. So -24/30 simplifies to -4/5. | fraction_operations |
10,409 | arithmetic | easy | What is 192 + 933? | 1125 | Add the two numbers: 192 + 933 = 1125. | basic_operations |
10,410 | 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 |
10,411 | percentages | easy | What is 82% of 137? | 112.34 | Calculate 82/100 * 137 = 0.82*137 = 112.34. | percentages |
10,412 | arithmetic | easy | What is 762 divided by 24? Give answer to 2 decimal places. | 31.75 | Calculate 762/ 24 = 31.7500, rounded to 2 decimals is 31.75. | division |
10,413 | arithmetic | easy | What is 71 + 38 * 90? Remember order of operations. | 3491 | Order of operations (PEMDAS): first 38*90=3420, then 71+3420=3491. | basic_operations |
10,414 | arithmetic | easy | What is 871 - 474? | 397 | Subtract: 871 - 474 = 397. | basic_operations |
10,415 | word_problems | easy | If you have 69 books and you buy 17 more books, how many books do you have in total? | 86 | Add initial 69 plus bought 17: 69+17=86. | addition_word |
10,416 | arithmetic | easy | What is 954 + 64 * 83? Remember order of operations. | 6266 | Order of operations (PEMDAS): first 64*83=5312, then 954+5312=6266. | basic_operations |
10,417 | geometry | easy | Find the area of a circle with radius 9. Use pi=3.14159, round to 2 decimals. | 254.47 | Area = pi*r^2 = 3.14159*9^2 = 3.14159*81 = 254.47. | circle_area |
10,418 | geometry | easy | Find the circumference of a circle with radius 1. Use pi=3.14159, round to 2 decimals. | 6.28 | Circumference = 2*pi*r = 2*3.14159*1 = 6.28. | circle_circum |
10,419 | statistics | easy | What is the mean (average) of 63, 22, 32? | 39 | Mean = sum/count. Sum = 63+22+32=117. Count=3. Mean=117/3=39.0. | mean |
10,420 | 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 |
10,421 | number_theory | medium | What is the GCD (greatest common divisor) of 75 and 48? | 3 | Find greatest number dividing both 75 and 48. Divisors common, greatest is 3. | gcd |
10,422 | roots | easy | What is the square root of 2304? | 48 | Find number that when squared gives 2304. 48*48=2304, so sqrt(2304)=48. | square_roots |
10,423 | 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 |
10,424 | statistics | easy | What is the mean (average) of 56, 28, 97, 63, 90? | 66.8 | Mean = sum/count. Sum = 56+28+97+63+90=334. Count=5. Mean=334/5=66.8. | mean |
10,425 | algebra | medium | Solve for x: x^2 - 5x - 24 = 0 | x = 8, -3 | Factor: (x - 8)(x - -3) = x^2 -(5)x + -24 = 0. So x = 8 or -3. Check sum = 5, product = -24. | quadratic |
10,426 | arithmetic | easy | What is 349 - 322? | 27 | Subtract: 349 - 322 = 27. | basic_operations |
10,427 | fractions | medium | What is 13/16 - 14/2? Give as simplified fraction. | -99/16 | Common denominator 32. Numerator 26-224=-198. So -198/32 simplifies to -99/16. | fraction_operations |
10,428 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
10,429 | arithmetic | easy | What is 35 * 94? | 3290 | Multiply: 35 * 94 = 3290. | basic_operations |
10,430 | arithmetic | easy | What is 126 / 42? | 3 | Divide: 126 ÷ 42 = 3 because 42*3=126. | division |
10,431 | arithmetic | easy | What is 999 - 243? | 756 | Subtract: 999 - 243 = 756. | basic_operations |
10,432 | algebra | easy | Solve for x: 17x - 5 = 250 | 15 | Add 5 to both sides: 17x = 250+5=255. Then x = 255/17 = 15. | linear_equation |
10,433 | 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 |
10,434 | calculus | medium | What is the derivative of 1x^5 with respect to x? | 5x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^5] = 1*5*x^4 = 5x^4. | derivative |
10,435 | 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 |
10,436 | number_theory | medium | What is the LCM (least common multiple) of 40 and 87? | 3480 | LCM = |40*87| / GCD(40,87). GCD=1, so LCM=3480/1=3480. | lcm |
10,437 | calculus | medium | What is the derivative of 8x^2 with respect to x? | 16x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^2] = 8*2*x^1 = 16x. | derivative |
10,438 | 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 |
10,439 | algebra | medium | Solve for x: x^2 + 17x + 72 = 0 | x = -8, -9 | Factor: (x - -8)(x - -9) = x^2 -(-17)x + 72 = 0. So x = -8 or -9. Check sum = -17, product = 72. | quadratic |
10,440 | arithmetic | easy | What is 513 + 298 * 17? Remember order of operations. | 5579 | Order of operations (PEMDAS): first 298*17=5066, then 513+5066=5579. | basic_operations |
10,441 | algebra | easy | Solve for x: 13x - 11 = -37 | -2 | Add 11 to both sides: 13x = -37+11=-26. Then x = -26/13 = -2. | linear_equation |
10,442 | arithmetic | easy | What is 828 / 69? | 12 | Divide: 828 ÷ 69 = 12 because 69*12=828. | division |
10,443 | number_theory | medium | What is the GCD (greatest common divisor) of 75 and 38? | 1 | Find greatest number dividing both 75 and 38. Divisors common, greatest is 1. | gcd |
10,444 | number_theory | medium | What is the GCD (greatest common divisor) of 78 and 82? | 2 | Find greatest number dividing both 78 and 82. Divisors common, greatest is 2. | gcd |
10,445 | roots | easy | What is the square root of 676? | 26 | Find number that when squared gives 676. 26*26=676, so sqrt(676)=26. | square_roots |
10,446 | number_theory | medium | What is the GCD (greatest common divisor) of 31 and 44? | 1 | Find greatest number dividing both 31 and 44. Divisors common, greatest is 1. | gcd |
10,447 | geometry | easy | Find the perimeter of a rectangle with length 61 and width 99. | 320 | Perimeter = 2*(length+width) = 2*(61+99) = 2*160 = 320. | rectangle_perim |
10,448 | word_problems | easy | If you have 98 dollars and you buy 38 more dollars, how many dollars do you have in total? | 136 | Add initial 98 plus bought 38: 98+38=136. | addition_word |
10,449 | arithmetic | easy | What is 843 - 458? | 385 | Subtract: 843 - 458 = 385. | basic_operations |
10,450 | number_theory | medium | What is the LCM (least common multiple) of 100 and 100? | 100 | LCM = |100*100| / GCD(100,100). GCD=100, so LCM=10000/100=100. | lcm |
10,451 | word_problems | easy | If you have 33 dollars and you buy 32 more dollars, how many dollars do you have in total? | 65 | Add initial 33 plus bought 32: 33+32=65. | addition_word |
10,452 | number_theory | medium | What is the GCD (greatest common divisor) of 94 and 96? | 2 | Find greatest number dividing both 94 and 96. Divisors common, greatest is 2. | gcd |
10,453 | roots | easy | What is the square root of 25? | 5 | Find number that when squared gives 25. 5*5=25, so sqrt(25)=5. | square_roots |
10,454 | algebra | medium | Solve for x: x^2 + 5x = 0 | x = -5, 0 | Factor: (x - -5)(x - 0) = x^2 -(-5)x + 0 = 0. So x = -5 or 0. Check sum = -5, product = 0. | quadratic |
10,455 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
10,456 | arithmetic | easy | What is 676 - 85? | 591 | Subtract: 676 - 85 = 591. | basic_operations |
10,457 | algebra | medium | Solve for x: x^2 - 13x + 40 = 0 | x = 5, 8 | Factor: (x - 5)(x - 8) = x^2 -(13)x + 40 = 0. So x = 5 or 8. Check sum = 13, product = 40. | quadratic |
10,458 | algebra | medium | Solve for x: x^2 - 7x - 18 = 0 | x = 9, -2 | Factor: (x - 9)(x - -2) = x^2 -(7)x + -18 = 0. So x = 9 or -2. Check sum = 7, product = -18. | quadratic |
10,459 | 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 |
10,460 | 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 |
10,461 | calculus | medium | What is the derivative of 5x^5 with respect to x? | 25x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^5] = 5*5*x^4 = 25x^4. | derivative |
10,462 | arithmetic | easy | What is 67 + 44 * 29? Remember order of operations. | 1343 | Order of operations (PEMDAS): first 44*29=1276, then 67+1276=1343. | basic_operations |
10,463 | word_problems | easy | If you have 5 pencils and you buy 4 more pencils, how many pencils do you have in total? | 9 | Add initial 5 plus bought 4: 5+4=9. | addition_word |
10,464 | geometry | easy | Find the area of a rectangle with length 44 and width 74. | 3256 | Area = length * width = 44*74 = 3256. | rectangle_area |
10,465 | arithmetic | easy | What is 964 + 132? | 1096 | Add the two numbers: 964 + 132 = 1096. | basic_operations |
10,466 | roots | easy | What is the square root of 961? | 31 | Find number that when squared gives 961. 31*31=961, so sqrt(961)=31. | square_roots |
10,467 | roots | easy | What is the square root of 225? | 15 | Find number that when squared gives 225. 15*15=225, so sqrt(225)=15. | square_roots |
10,468 | roots | easy | What is the square root of 25? | 5 | Find number that when squared gives 25. 5*5=25, so sqrt(25)=5. | square_roots |
10,469 | fractions | medium | What is 20/17 - 13/9? Give as simplified fraction. | -41/153 | Common denominator 153. Numerator 180-221=-41. So -41/153 simplifies to -41/153. | fraction_operations |
10,470 | algebra | medium | Solve for x: x^2 - 8x - 9 = 0 | x = 9, -1 | Factor: (x - 9)(x - -1) = x^2 -(8)x + -9 = 0. So x = 9 or -1. Check sum = 8, product = -9. | quadratic |
10,471 | 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 |
10,472 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
10,473 | algebra | medium | Solve for x: x^2 + 12x + 20 = 0 | x = -10, -2 | Factor: (x - -10)(x - -2) = x^2 -(-12)x + 20 = 0. So x = -10 or -2. Check sum = -12, product = 20. | quadratic |
10,474 | arithmetic | easy | What is 524 + 363? | 887 | Add the two numbers: 524 + 363 = 887. | basic_operations |
10,475 | percentages | easy | What is 27% of 270? | 72.9 | Calculate 27/100 * 270 = 0.27*270 = 72.9. | percentages |
10,476 | 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 |
10,477 | arithmetic | easy | What is 64 * 25? | 1600 | Multiply: 64 * 25 = 1600. | basic_operations |
10,478 | algebra | medium | Solve for x: x^2 - 12x + 20 = 0 | x = 10, 2 | Factor: (x - 10)(x - 2) = x^2 -(12)x + 20 = 0. So x = 10 or 2. Check sum = 12, product = 20. | quadratic |
10,479 | number_theory | medium | What is the GCD (greatest common divisor) of 78 and 25? | 1 | Find greatest number dividing both 78 and 25. Divisors common, greatest is 1. | gcd |
10,480 | arithmetic | easy | What is 9 + 62 * 92? Remember order of operations. | 5713 | Order of operations (PEMDAS): first 62*92=5704, then 9+5704=5713. | basic_operations |
10,481 | calculus | medium | What is the derivative of 4x^2 with respect to x? | 8x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^2] = 4*2*x^1 = 8x. | derivative |
10,482 | fractions | medium | What is 8/3 - 17/13? Give as simplified fraction. | 53/39 | Common denominator 39. Numerator 104-51=53. So 53/39 simplifies to 53/39. | fraction_operations |
10,483 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
10,484 | percentages | easy | What is 54% of 669? | 361.26 | Calculate 54/100 * 669 = 0.54*669 = 361.26. | percentages |
10,485 | 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 |
10,486 | algebra | medium | Solve for x: x^2 - 100 = 0 | x = -10, 10 | Factor: (x - -10)(x - 10) = x^2 -(0)x + -100 = 0. So x = -10 or 10. Check sum = 0, product = -100. | quadratic |
10,487 | fractions | medium | What is 3/9 * 16/19? Give as simplified fraction. | 16/57 | Multiply numerators: 3*16=48. Denominators: 9*19=171. Simplify by gcd 3 to get 16/57. | fraction_operations |
10,488 | arithmetic | easy | What is 749 + 163 * 88? Remember order of operations. | 15093 | Order of operations (PEMDAS): first 163*88=14344, then 749+14344=15093. | basic_operations |
10,489 | percentages | easy | What is 54% of 498? | 268.92 | Calculate 54/100 * 498 = 0.54*498 = 268.92. | percentages |
10,490 | 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 |
10,491 | word_problems | easy | If you have 64 books and you buy 30 more books, how many books do you have in total? | 94 | Add initial 64 plus bought 30: 64+30=94. | addition_word |
10,492 | 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 |
10,493 | word_problems | easy | If you have 53 dollars and you buy 20 more dollars, how many dollars do you have in total? | 73 | Add initial 53 plus bought 20: 53+20=73. | addition_word |
10,494 | number_theory | medium | What is the GCD (greatest common divisor) of 39 and 43? | 1 | Find greatest number dividing both 39 and 43. Divisors common, greatest is 1. | gcd |
10,495 | fractions | medium | What is 9/18 * 4/12? Give as simplified fraction. | 1/6 | Multiply numerators: 9*4=36. Denominators: 18*12=216. Simplify by gcd 36 to get 1/6. | fraction_operations |
10,496 | geometry | easy | Find the perimeter of a rectangle with length 46 and width 99. | 290 | Perimeter = 2*(length+width) = 2*(46+99) = 2*145 = 290. | rectangle_perim |
10,497 | arithmetic | easy | What is 6930 / 15? | 462 | Divide: 6930 ÷ 15 = 462 because 15*462=6930. | division |
10,498 | 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 |
10,499 | roots | easy | What is the square root of 576? | 24 | Find number that when squared gives 576. 24*24=576, so sqrt(576)=24. | square_roots |
10,500 | fractions | medium | What is 8/3 + 18/6? Give as simplified fraction. | 17/3 | Common denominator 3*6=18. 8/3=48/18, 18/6=54/18. Sum = 102/18 = 17/3 simplified. | fraction_operations |
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