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 |
|---|---|---|---|---|---|---|
730,401 | fractions | medium | What is 10/4 + 16/5? Give as simplified fraction. | 57/10 | Common denominator 4*5=20. 10/4=50/20, 16/5=64/20. Sum = 114/20 = 57/10 simplified. | fraction_operations |
730,402 | roots | easy | What is the square root of 144? | 12 | Find number that when squared gives 144. 12*12=144, so sqrt(144)=12. | square_roots |
730,403 | statistics | easy | What is the mean (average) of 87, 46, 1, 60? | 48.5 | Mean = sum/count. Sum = 87+46+1+60=194. Count=4. Mean=194/4=48.5. | mean |
730,404 | number_theory | medium | What is the LCM (least common multiple) of 91 and 5? | 455 | LCM = |91*5| / GCD(91,5). GCD=1, so LCM=455/1=455. | lcm |
730,405 | word_problems | easy | If you have 23 pencils and you buy 26 more pencils, how many pencils do you have in total? | 49 | Add initial 23 plus bought 26: 23+26=49. | addition_word |
730,406 | fractions | medium | What is 2/7 - 20/13? Give as simplified fraction. | -114/91 | Common denominator 91. Numerator 26-140=-114. So -114/91 simplifies to -114/91. | fraction_operations |
730,407 | number_theory | medium | What is the LCM (least common multiple) of 57 and 95? | 285 | LCM = |57*95| / GCD(57,95). GCD=19, so LCM=5415/19=285. | lcm |
730,408 | arithmetic | easy | What is 942 - 113? | 829 | Subtract: 942 - 113 = 829. | basic_operations |
730,409 | arithmetic | easy | What is 78 * 90? | 7020 | Multiply: 78 * 90 = 7020. | basic_operations |
730,410 | fractions | medium | What is 15/18 * 19/9? Give as simplified fraction. | 95/54 | Multiply numerators: 15*19=285. Denominators: 18*9=162. Simplify by gcd 3 to get 95/54. | fraction_operations |
730,411 | percentages | easy | What is 76% of 267? | 202.92 | Calculate 76/100 * 267 = 0.76*267 = 202.92. | percentages |
730,412 | geometry | easy | Find the area of a circle with radius 42. Use pi=3.14159, round to 2 decimals. | 5541.77 | Area = pi*r^2 = 3.14159*42^2 = 3.14159*1764 = 5541.77. | circle_area |
730,413 | 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 |
730,414 | 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 |
730,415 | 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 |
730,416 | fractions | medium | What is 8/12 * 3/19? Give as simplified fraction. | 2/19 | Multiply numerators: 8*3=24. Denominators: 12*19=228. Simplify by gcd 12 to get 2/19. | fraction_operations |
730,417 | algebra | medium | Solve for x: x^2 + 15x + 50 = 0 | x = -5, -10 | Factor: (x - -5)(x - -10) = x^2 -(-15)x + 50 = 0. So x = -5 or -10. Check sum = -15, product = 50. | quadratic |
730,418 | 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 |
730,419 | arithmetic | easy | What is 293 + 919 * 95? Remember order of operations. | 87598 | Order of operations (PEMDAS): first 919*95=87305, then 293+87305=87598. | basic_operations |
730,420 | geometry | easy | Find the perimeter of a rectangle with length 94 and width 43. | 274 | Perimeter = 2*(length+width) = 2*(94+43) = 2*137 = 274. | rectangle_perim |
730,421 | algebra | easy | Solve for x: 1x - 5 = 9 | 14 | Add 5 to both sides: 1x = 9+5=14. Then x = 14/1 = 14. | linear_equation |
730,422 | number_theory | medium | What is the GCD (greatest common divisor) of 93 and 7? | 1 | Find greatest number dividing both 93 and 7. Divisors common, greatest is 1. | gcd |
730,423 | percentages | easy | What is 77% of 929? | 715.33 | Calculate 77/100 * 929 = 0.77*929 = 715.33. | percentages |
730,424 | algebra | easy | Solve for x: 16x + 10 = 234 | 14 | Subtract 10 from both sides: 16x = 234-10=224. Then divide by 16: x = 224/16 = 14. | linear_equation |
730,425 | arithmetic | easy | What is 81 + 67 * 48? Remember order of operations. | 3297 | Order of operations (PEMDAS): first 67*48=3216, then 81+3216=3297. | basic_operations |
730,426 | percentages | easy | What is 23% of 70? | 16.1 | Calculate 23/100 * 70 = 0.23*70 = 16.1. | percentages |
730,427 | arithmetic | easy | What is 906 - 855? | 51 | Subtract: 906 - 855 = 51. | basic_operations |
730,428 | calculus | medium | What is the derivative of 4x^4 with respect to x? | 16x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^4] = 4*4*x^3 = 16x^3. | derivative |
730,429 | 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 |
730,430 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
730,431 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
730,432 | arithmetic | easy | What is 69 * 46? | 3174 | Multiply: 69 * 46 = 3174. | basic_operations |
730,433 | 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 |
730,434 | arithmetic | easy | What is 237 divided by 24? Give answer to 2 decimal places. | 9.88 | Calculate 237/ 24 = 9.8750, rounded to 2 decimals is 9.88. | division |
730,435 | 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 |
730,436 | word_problems | easy | If you have 74 dollars and you buy 16 more dollars, how many dollars do you have in total? | 90 | Add initial 74 plus bought 16: 74+16=90. | addition_word |
730,437 | number_theory | medium | What is the GCD (greatest common divisor) of 64 and 3? | 1 | Find greatest number dividing both 64 and 3. Divisors common, greatest is 1. | gcd |
730,438 | algebra | medium | Solve for x: x^2 + 16x + 60 = 0 | x = -6, -10 | Factor: (x - -6)(x - -10) = x^2 -(-16)x + 60 = 0. So x = -6 or -10. Check sum = -16, product = 60. | quadratic |
730,439 | 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 |
730,440 | arithmetic | easy | What is 22850 / 50? | 457 | Divide: 22850 ÷ 50 = 457 because 50*457=22850. | division |
730,441 | geometry | easy | Find the area of a triangle with base 32 and height 61. | 976 | Area = 0.5*base*height = 0.5*32*61 = 976. | triangle_area |
730,442 | arithmetic | easy | What is 400 + 582? | 982 | Add the two numbers: 400 + 582 = 982. | basic_operations |
730,443 | 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 |
730,444 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
730,445 | algebra | easy | Solve for x: 12x - 16 = -4 | 1 | Add 16 to both sides: 12x = -4+16=12. Then x = 12/12 = 1. | linear_equation |
730,446 | 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 |
730,447 | statistics | easy | What is the mean (average) of 94, 51, 8, 76? | 57.25 | Mean = sum/count. Sum = 94+51+8+76=229. Count=4. Mean=229/4=57.25. | mean |
730,448 | fractions | medium | What is 17/3 - 19/18? Give as simplified fraction. | 83/18 | Common denominator 54. Numerator 306-57=249. So 249/54 simplifies to 83/18. | fraction_operations |
730,449 | 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 |
730,450 | geometry | easy | Find the circumference of a circle with radius 49. Use pi=3.14159, round to 2 decimals. | 307.88 | Circumference = 2*pi*r = 2*3.14159*49 = 307.88. | circle_circum |
730,451 | arithmetic | easy | What is 146 + 498 * 10? Remember order of operations. | 5126 | Order of operations (PEMDAS): first 498*10=4980, then 146+4980=5126. | basic_operations |
730,452 | arithmetic | easy | What is 89 * 25? | 2225 | Multiply: 89 * 25 = 2225. | basic_operations |
730,453 | algebra | medium | Solve for x: x^2 + 2x - 48 = 0 | x = 6, -8 | Factor: (x - 6)(x - -8) = x^2 -(-2)x + -48 = 0. So x = 6 or -8. Check sum = -2, product = -48. | quadratic |
730,454 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
730,455 | roots | easy | What is the square root of 2401? | 49 | Find number that when squared gives 2401. 49*49=2401, so sqrt(2401)=49. | square_roots |
730,456 | exponents | easy | What is 2^2? | 4 | 2^2 means multiply 2 by itself 2 times: 2*2 = 4. | exponents |
730,457 | 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 |
730,458 | number_theory | medium | What is the LCM (least common multiple) of 12 and 74? | 444 | LCM = |12*74| / GCD(12,74). GCD=2, so LCM=888/2=444. | lcm |
730,459 | roots | easy | What is the square root of 64? | 8 | Find number that when squared gives 64. 8*8=64, so sqrt(64)=8. | square_roots |
730,460 | arithmetic | easy | What is 36026 divided by 89? Give answer to 2 decimal places. | 404.79 | Calculate 36026/ 89 = 404.7865, rounded to 2 decimals is 404.79. | division |
730,461 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
730,462 | calculus | medium | What is the derivative of 5x^7 with respect to x? | 35x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^7] = 5*7*x^6 = 35x^6. | derivative |
730,463 | geometry | easy | Find the circumference of a circle with radius 22. Use pi=3.14159, round to 2 decimals. | 138.23 | Circumference = 2*pi*r = 2*3.14159*22 = 138.23. | circle_circum |
730,464 | number_theory | medium | What is the GCD (greatest common divisor) of 66 and 83? | 1 | Find greatest number dividing both 66 and 83. Divisors common, greatest is 1. | gcd |
730,465 | arithmetic | easy | What is 210 + 215? | 425 | Add the two numbers: 210 + 215 = 425. | basic_operations |
730,466 | word_problems | easy | If you have 48 apples and you buy 21 more apples, how many apples do you have in total? | 69 | Add initial 48 plus bought 21: 48+21=69. | addition_word |
730,467 | arithmetic | easy | What is 7527 / 39? | 193 | Divide: 7527 ÷ 39 = 193 because 39*193=7527. | division |
730,468 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
730,469 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
730,470 | 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 |
730,471 | calculus | medium | What is the derivative of 1x^4 with respect to x? | 4x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^4] = 1*4*x^3 = 4x^3. | derivative |
730,472 | algebra | easy | Solve for x: 12x + 35 = 191 | 13 | Subtract 35 from both sides: 12x = 191-35=156. Then divide by 12: x = 156/12 = 13. | linear_equation |
730,473 | arithmetic | easy | What is 220 + 992? | 1212 | Add the two numbers: 220 + 992 = 1212. | basic_operations |
730,474 | algebra | medium | Solve for x: x^2 + 1x - 30 = 0 | x = 5, -6 | Factor: (x - 5)(x - -6) = x^2 -(-1)x + -30 = 0. So x = 5 or -6. Check sum = -1, product = -30. | quadratic |
730,475 | percentages | easy | What is 17% of 164? | 27.88 | Calculate 17/100 * 164 = 0.17*164 = 27.88. | percentages |
730,476 | word_problems | easy | If you have 80 candies and you buy 11 more candies, how many candies do you have in total? | 91 | Add initial 80 plus bought 11: 80+11=91. | addition_word |
730,477 | arithmetic | easy | What is 627 - 79? | 548 | Subtract: 627 - 79 = 548. | basic_operations |
730,478 | 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 |
730,479 | algebra | easy | Solve for x: 3x - 20 = -8 | 4 | Add 20 to both sides: 3x = -8+20=12. Then x = 12/3 = 4. | linear_equation |
730,480 | arithmetic | easy | What is 31 + 159? | 190 | Add the two numbers: 31 + 159 = 190. | basic_operations |
730,481 | statistics | easy | What is the mean (average) of 36, 85, 92, 48, 30? | 58.2 | Mean = sum/count. Sum = 36+85+92+48+30=291. Count=5. Mean=291/5=58.2. | mean |
730,482 | word_problems | easy | If you have 73 books and you buy 13 more books, how many books do you have in total? | 86 | Add initial 73 plus bought 13: 73+13=86. | addition_word |
730,483 | statistics | easy | What is the mean (average) of 64, 92, 88, 91, 22? | 71.4 | Mean = sum/count. Sum = 64+92+88+91+22=357. Count=5. Mean=357/5=71.4. | mean |
730,484 | 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 |
730,485 | algebra | medium | Solve for x: x^2 - 1x - 12 = 0 | x = 4, -3 | Factor: (x - 4)(x - -3) = x^2 -(1)x + -12 = 0. So x = 4 or -3. Check sum = 1, product = -12. | quadratic |
730,486 | algebra | medium | Solve for x: x^2 - 7x + 12 = 0 | x = 3, 4 | Factor: (x - 3)(x - 4) = x^2 -(7)x + 12 = 0. So x = 3 or 4. Check sum = 7, product = 12. | quadratic |
730,487 | 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 |
730,488 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
730,489 | arithmetic | easy | What is 851 + 317 * 11? Remember order of operations. | 4338 | Order of operations (PEMDAS): first 317*11=3487, then 851+3487=4338. | basic_operations |
730,490 | arithmetic | easy | What is 636 + 352 * 69? Remember order of operations. | 24924 | Order of operations (PEMDAS): first 352*69=24288, then 636+24288=24924. | basic_operations |
730,491 | arithmetic | easy | What is 1464 / 6? | 244 | Divide: 1464 ÷ 6 = 244 because 6*244=1464. | division |
730,492 | percentages | easy | What is 80% of 732? | 585.6 | Calculate 80/100 * 732 = 0.8*732 = 585.6. | percentages |
730,493 | number_theory | medium | What is the LCM (least common multiple) of 51 and 29? | 1479 | LCM = |51*29| / GCD(51,29). GCD=1, so LCM=1479/1=1479. | lcm |
730,494 | roots | easy | What is the square root of 900? | 30 | Find number that when squared gives 900. 30*30=900, so sqrt(900)=30. | square_roots |
730,495 | fractions | medium | What is 4/20 + 17/3? Give as simplified fraction. | 88/15 | Common denominator 20*3=60. 4/20=12/60, 17/3=340/60. Sum = 352/60 = 88/15 simplified. | fraction_operations |
730,496 | geometry | easy | Find the area of a triangle with base 51 and height 73. | 1861.5 | Area = 0.5*base*height = 0.5*51*73 = 1861.5. | triangle_area |
730,497 | number_theory | medium | What is the LCM (least common multiple) of 31 and 1? | 31 | LCM = |31*1| / GCD(31,1). GCD=1, so LCM=31/1=31. | lcm |
730,498 | word_problems | easy | If you have 85 apples and you buy 13 more apples, how many apples do you have in total? | 98 | Add initial 85 plus bought 13: 85+13=98. | addition_word |
730,499 | calculus | medium | What is the derivative of 8x^6 with respect to x? | 48x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^6] = 8*6*x^5 = 48x^5. | derivative |
730,500 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
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