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 |
|---|---|---|---|---|---|---|
733,501 | arithmetic | easy | What is 20148 / 69? | 292 | Divide: 20148 ÷ 69 = 292 because 69*292=20148. | division |
733,502 | word_problems | easy | If you have 64 candies and you buy 36 more candies, how many candies do you have in total? | 100 | Add initial 64 plus bought 36: 64+36=100. | addition_word |
733,503 | arithmetic | easy | What is 74 * 47? | 3478 | Multiply: 74 * 47 = 3478. | basic_operations |
733,504 | calculus | medium | What is the derivative of 7x^7 with respect to x? | 49x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^7] = 7*7*x^6 = 49x^6. | derivative |
733,505 | 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 |
733,506 | algebra | easy | Solve for x: 7x - 44 = -72 | -4 | Add 44 to both sides: 7x = -72+44=-28. Then x = -28/7 = -4. | linear_equation |
733,507 | algebra | medium | Solve for x: x^2 - 5x - 6 = 0 | x = 6, -1 | Factor: (x - 6)(x - -1) = x^2 -(5)x + -6 = 0. So x = 6 or -1. Check sum = 5, product = -6. | quadratic |
733,508 | algebra | easy | Solve for x: 16x - 41 = 87 | 8 | Add 41 to both sides: 16x = 87+41=128. Then x = 128/16 = 8. | linear_equation |
733,509 | fractions | medium | What is 20/11 + 5/18? Give as simplified fraction. | 415/198 | Common denominator 11*18=198. 20/11=360/198, 5/18=55/198. Sum = 415/198 = 415/198 simplified. | fraction_operations |
733,510 | arithmetic | easy | What is 839 + 743? | 1582 | Add the two numbers: 839 + 743 = 1582. | basic_operations |
733,511 | geometry | easy | Find the area of a circle with radius 43. Use pi=3.14159, round to 2 decimals. | 5808.8 | Area = pi*r^2 = 3.14159*43^2 = 3.14159*1849 = 5808.8. | circle_area |
733,512 | number_theory | medium | What is the LCM (least common multiple) of 92 and 48? | 1104 | LCM = |92*48| / GCD(92,48). GCD=4, so LCM=4416/4=1104. | lcm |
733,513 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
733,514 | number_theory | medium | What is the LCM (least common multiple) of 73 and 6? | 438 | LCM = |73*6| / GCD(73,6). GCD=1, so LCM=438/1=438. | lcm |
733,515 | fractions | medium | What is 10/5 * 1/8? Give as simplified fraction. | 1/4 | Multiply numerators: 10*1=10. Denominators: 5*8=40. Simplify by gcd 10 to get 1/4. | fraction_operations |
733,516 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
733,517 | statistics | easy | What is the mean (average) of 79, 37, 71, 66, 68? | 64.2 | Mean = sum/count. Sum = 79+37+71+66+68=321. Count=5. Mean=321/5=64.2. | mean |
733,518 | algebra | easy | Solve for x: 11x + 6 = 204 | 18 | Subtract 6 from both sides: 11x = 204-6=198. Then divide by 11: x = 198/11 = 18. | linear_equation |
733,519 | 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 |
733,520 | arithmetic | easy | What is 39818 / 86? | 463 | Divide: 39818 ÷ 86 = 463 because 86*463=39818. | division |
733,521 | statistics | easy | What is the mean (average) of 29, 72, 46? | 49 | Mean = sum/count. Sum = 29+72+46=147. Count=3. Mean=147/3=49.0. | mean |
733,522 | arithmetic | easy | What is 844 - 748? | 96 | Subtract: 844 - 748 = 96. | basic_operations |
733,523 | roots | easy | What is the square root of 1? | 1 | Find number that when squared gives 1. 1*1=1, so sqrt(1)=1. | square_roots |
733,524 | arithmetic | easy | What is 633 - 209? | 424 | Subtract: 633 - 209 = 424. | basic_operations |
733,525 | 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 |
733,526 | arithmetic | easy | What is 296 + 888? | 1184 | Add the two numbers: 296 + 888 = 1184. | basic_operations |
733,527 | percentages | easy | What is 67% of 322? | 215.74 | Calculate 67/100 * 322 = 0.67*322 = 215.74. | percentages |
733,528 | arithmetic | easy | What is 465 + 340 * 73? Remember order of operations. | 25285 | Order of operations (PEMDAS): first 340*73=24820, then 465+24820=25285. | basic_operations |
733,529 | percentages | easy | What is 66% of 523? | 345.18 | Calculate 66/100 * 523 = 0.66*523 = 345.18. | percentages |
733,530 | arithmetic | easy | What is 85 * 9? | 765 | Multiply: 85 * 9 = 765. | basic_operations |
733,531 | algebra | medium | Solve for x: x^2 + 6x - 27 = 0 | x = 3, -9 | Factor: (x - 3)(x - -9) = x^2 -(-6)x + -27 = 0. So x = 3 or -9. Check sum = -6, product = -27. | quadratic |
733,532 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
733,533 | arithmetic | easy | What is 8733 divided by 39? Give answer to 2 decimal places. | 223.92 | Calculate 8733/ 39 = 223.9231, rounded to 2 decimals is 223.92. | division |
733,534 | 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 |
733,535 | geometry | easy | Find the perimeter of a rectangle with length 19 and width 43. | 124 | Perimeter = 2*(length+width) = 2*(19+43) = 2*62 = 124. | rectangle_perim |
733,536 | statistics | easy | What is the mean (average) of 62, 41, 89, 89, 29? | 62 | Mean = sum/count. Sum = 62+41+89+89+29=310. Count=5. Mean=310/5=62.0. | mean |
733,537 | percentages | easy | What is 63% of 776? | 488.88 | Calculate 63/100 * 776 = 0.63*776 = 488.88. | percentages |
733,538 | arithmetic | easy | What is 60 * 3? | 180 | Multiply: 60 * 3 = 180. | basic_operations |
733,539 | percentages | easy | What is 64% of 399? | 255.36 | Calculate 64/100 * 399 = 0.64*399 = 255.36. | percentages |
733,540 | fractions | medium | What is 12/16 + 12/5? Give as simplified fraction. | 63/20 | Common denominator 16*5=80. 12/16=60/80, 12/5=192/80. Sum = 252/80 = 63/20 simplified. | fraction_operations |
733,541 | word_problems | easy | If you have 50 candies and you buy 25 more candies, how many candies do you have in total? | 75 | Add initial 50 plus bought 25: 50+25=75. | addition_word |
733,542 | algebra | easy | Solve for x: 11x - 8 = -30 | -2 | Add 8 to both sides: 11x = -30+8=-22. Then x = -22/11 = -2. | linear_equation |
733,543 | percentages | easy | What is 41% of 608? | 249.28 | Calculate 41/100 * 608 = 0.41*608 = 249.28. | percentages |
733,544 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
733,545 | algebra | easy | Solve for x: 3x - 1 = -43 | -14 | Add 1 to both sides: 3x = -43+1=-42. Then x = -42/3 = -14. | linear_equation |
733,546 | algebra | easy | Solve for x: 1x - 15 = -4 | 11 | Add 15 to both sides: 1x = -4+15=11. Then x = 11/1 = 11. | linear_equation |
733,547 | number_theory | medium | What is the GCD (greatest common divisor) of 46 and 86? | 2 | Find greatest number dividing both 46 and 86. Divisors common, greatest is 2. | gcd |
733,548 | algebra | easy | Solve for x: 3x - 19 = -16 | 1 | Add 19 to both sides: 3x = -16+19=3. Then x = 3/3 = 1. | linear_equation |
733,549 | number_theory | medium | What is the LCM (least common multiple) of 50 and 65? | 650 | LCM = |50*65| / GCD(50,65). GCD=5, so LCM=3250/5=650. | lcm |
733,550 | arithmetic | easy | What is 611 - 312? | 299 | Subtract: 611 - 312 = 299. | basic_operations |
733,551 | algebra | easy | Solve for x: 4x + 23 = -53 | -19 | Subtract 23 from both sides: 4x = -53-23=-76. Then divide by 4: x = -76/4 = -19. | linear_equation |
733,552 | arithmetic | easy | What is 430 / 43? | 10 | Divide: 430 ÷ 43 = 10 because 43*10=430. | division |
733,553 | algebra | medium | Solve for x: x^2 + 19x + 90 = 0 | x = -10, -9 | Factor: (x - -10)(x - -9) = x^2 -(-19)x + 90 = 0. So x = -10 or -9. Check sum = -19, product = 90. | quadratic |
733,554 | arithmetic | easy | What is 733 + 266? | 999 | Add the two numbers: 733 + 266 = 999. | basic_operations |
733,555 | arithmetic | easy | What is 30685 / 85? | 361 | Divide: 30685 ÷ 85 = 361 because 85*361=30685. | division |
733,556 | number_theory | medium | What is the GCD (greatest common divisor) of 8 and 18? | 2 | Find greatest number dividing both 8 and 18. Divisors common, greatest is 2. | gcd |
733,557 | word_problems | easy | If you have 90 dollars and you buy 43 more dollars, how many dollars do you have in total? | 133 | Add initial 90 plus bought 43: 90+43=133. | addition_word |
733,558 | calculus | medium | What is the derivative of 3x^5 with respect to x? | 15x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^5] = 3*5*x^4 = 15x^4. | derivative |
733,559 | word_problems | easy | If you have 13 pencils and you buy 17 more pencils, how many pencils do you have in total? | 30 | Add initial 13 plus bought 17: 13+17=30. | addition_word |
733,560 | algebra | easy | Solve for x: 9x + 19 = 109 | 10 | Subtract 19 from both sides: 9x = 109-19=90. Then divide by 9: x = 90/9 = 10. | linear_equation |
733,561 | number_theory | medium | What is the LCM (least common multiple) of 55 and 11? | 55 | LCM = |55*11| / GCD(55,11). GCD=11, so LCM=605/11=55. | lcm |
733,562 | statistics | easy | What is the mean (average) of 49, 53, 50, 36? | 47 | Mean = sum/count. Sum = 49+53+50+36=188. Count=4. Mean=188/4=47.0. | mean |
733,563 | fractions | medium | What is 10/12 - 4/16? Give as simplified fraction. | 7/12 | Common denominator 192. Numerator 160-48=112. So 112/192 simplifies to 7/12. | fraction_operations |
733,564 | geometry | easy | Find the area of a circle with radius 50. Use pi=3.14159, round to 2 decimals. | 7853.98 | Area = pi*r^2 = 3.14159*50^2 = 3.14159*2500 = 7853.98. | circle_area |
733,565 | 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 |
733,566 | calculus | medium | What is the derivative of 9x^5 with respect to x? | 45x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^5] = 9*5*x^4 = 45x^4. | derivative |
733,567 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
733,568 | number_theory | medium | What is the LCM (least common multiple) of 55 and 34? | 1870 | LCM = |55*34| / GCD(55,34). GCD=1, so LCM=1870/1=1870. | lcm |
733,569 | algebra | easy | Solve for x: 11x - 25 = 195 | 20 | Add 25 to both sides: 11x = 195+25=220. Then x = 220/11 = 20. | linear_equation |
733,570 | algebra | easy | Solve for x: 20x - 49 = -149 | -5 | Add 49 to both sides: 20x = -149+49=-100. Then x = -100/20 = -5. | linear_equation |
733,571 | arithmetic | easy | What is 70 + 377? | 447 | Add the two numbers: 70 + 377 = 447. | basic_operations |
733,572 | 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 |
733,573 | 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 |
733,574 | 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 |
733,575 | word_problems | easy | If you have 38 books and you buy 40 more books, how many books do you have in total? | 78 | Add initial 38 plus bought 40: 38+40=78. | addition_word |
733,576 | fractions | medium | What is 1/5 * 9/8? Give as simplified fraction. | 9/40 | Multiply numerators: 1*9=9. Denominators: 5*8=40. Simplify by gcd 1 to get 9/40. | fraction_operations |
733,577 | percentages | easy | What is 100% of 14? | 14 | Calculate 100/100 * 14 = 1.0*14 = 14. | percentages |
733,578 | algebra | easy | Solve for x: 15x - 30 = -285 | -17 | Add 30 to both sides: 15x = -285+30=-255. Then x = -255/15 = -17. | linear_equation |
733,579 | number_theory | medium | What is the LCM (least common multiple) of 13 and 74? | 962 | LCM = |13*74| / GCD(13,74). GCD=1, so LCM=962/1=962. | lcm |
733,580 | fractions | medium | What is 16/7 - 12/3? Give as simplified fraction. | -12/7 | Common denominator 21. Numerator 48-84=-36. So -36/21 simplifies to -12/7. | fraction_operations |
733,581 | number_theory | medium | What is the GCD (greatest common divisor) of 97 and 51? | 1 | Find greatest number dividing both 97 and 51. Divisors common, greatest is 1. | gcd |
733,582 | geometry | easy | Find the area of a rectangle with length 18 and width 42. | 756 | Area = length * width = 18*42 = 756. | rectangle_area |
733,583 | calculus | medium | What is the derivative of 10x^2 with respect to x? | 20x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^2] = 10*2*x^1 = 20x. | derivative |
733,584 | fractions | medium | What is 20/10 + 3/13? Give as simplified fraction. | 29/13 | Common denominator 10*13=130. 20/10=260/130, 3/13=30/130. Sum = 290/130 = 29/13 simplified. | fraction_operations |
733,585 | word_problems | easy | If you have 64 apples and you buy 24 more apples, how many apples do you have in total? | 88 | Add initial 64 plus bought 24: 64+24=88. | addition_word |
733,586 | calculus | medium | What is the derivative of 9x^7 with respect to x? | 63x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^7] = 9*7*x^6 = 63x^6. | derivative |
733,587 | number_theory | medium | What is the GCD (greatest common divisor) of 95 and 85? | 5 | Find greatest number dividing both 95 and 85. Divisors common, greatest is 5. | gcd |
733,588 | geometry | easy | Find the perimeter of a rectangle with length 77 and width 71. | 296 | Perimeter = 2*(length+width) = 2*(77+71) = 2*148 = 296. | rectangle_perim |
733,589 | fractions | medium | What is 11/10 * 11/20? Give as simplified fraction. | 121/200 | Multiply numerators: 11*11=121. Denominators: 10*20=200. Simplify by gcd 1 to get 121/200. | fraction_operations |
733,590 | algebra | easy | Solve for x: 2x - 50 = -40 | 5 | Add 50 to both sides: 2x = -40+50=10. Then x = 10/2 = 5. | linear_equation |
733,591 | arithmetic | easy | What is 733 - 17? | 716 | Subtract: 733 - 17 = 716. | basic_operations |
733,592 | 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 |
733,593 | fractions | medium | What is 3/12 * 4/3? Give as simplified fraction. | 1/3 | Multiply numerators: 3*4=12. Denominators: 12*3=36. Simplify by gcd 12 to get 1/3. | fraction_operations |
733,594 | percentages | easy | What is 37% of 132? | 48.84 | Calculate 37/100 * 132 = 0.37*132 = 48.84. | percentages |
733,595 | word_problems | easy | If you have 51 candies and you buy 49 more candies, how many candies do you have in total? | 100 | Add initial 51 plus bought 49: 51+49=100. | addition_word |
733,596 | arithmetic | easy | What is 10458 / 63? | 166 | Divide: 10458 ÷ 63 = 166 because 63*166=10458. | division |
733,597 | percentages | easy | What is 100% of 293? | 293 | Calculate 100/100 * 293 = 1.0*293 = 293. | percentages |
733,598 | word_problems | easy | If you have 72 dollars and you buy 25 more dollars, how many dollars do you have in total? | 97 | Add initial 72 plus bought 25: 72+25=97. | addition_word |
733,599 | algebra | medium | Solve for x: x^2 - 1x - 2 = 0 | x = -1, 2 | Factor: (x - -1)(x - 2) = x^2 -(1)x + -2 = 0. So x = -1 or 2. Check sum = 1, product = -2. | quadratic |
733,600 | geometry | easy | Find the area of a triangle with base 70 and height 53. | 1855 | Area = 0.5*base*height = 0.5*70*53 = 1855. | triangle_area |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.