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 |
|---|---|---|---|---|---|---|
730,601 | 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 |
730,602 | calculus | medium | What is the derivative of 3x^8 with respect to x? | 24x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^8] = 3*8*x^7 = 24x^7. | derivative |
730,603 | geometry | easy | Find the perimeter of a rectangle with length 4 and width 22. | 52 | Perimeter = 2*(length+width) = 2*(4+22) = 2*26 = 52. | rectangle_perim |
730,604 | calculus | medium | What is the derivative of 5x^6 with respect to x? | 30x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^6] = 5*6*x^5 = 30x^5. | derivative |
730,605 | percentages | easy | What is 96% of 165? | 158.4 | Calculate 96/100 * 165 = 0.96*165 = 158.4. | percentages |
730,606 | algebra | easy | Solve for x: 14x - 14 = 196 | 15 | Add 14 to both sides: 14x = 196+14=210. Then x = 210/14 = 15. | linear_equation |
730,607 | algebra | medium | Solve for x: x^2 - 2x - 80 = 0 | x = 10, -8 | Factor: (x - 10)(x - -8) = x^2 -(2)x + -80 = 0. So x = 10 or -8. Check sum = 2, product = -80. | quadratic |
730,608 | calculus | medium | What is the derivative of 6x^7 with respect to x? | 42x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^7] = 6*7*x^6 = 42x^6. | derivative |
730,609 | exponents | easy | What is 8^4? | 4096 | 8^4 means multiply 8 by itself 4 times: 8*8*8*8 = 4096. | exponents |
730,610 | arithmetic | easy | What is 1057 / 7? | 151 | Divide: 1057 ÷ 7 = 151 because 7*151=1057. | division |
730,611 | number_theory | medium | What is the GCD (greatest common divisor) of 41 and 92? | 1 | Find greatest number dividing both 41 and 92. Divisors common, greatest is 1. | gcd |
730,612 | 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 |
730,613 | roots | easy | What is the square root of 169? | 13 | Find number that when squared gives 169. 13*13=169, so sqrt(169)=13. | square_roots |
730,614 | 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 |
730,615 | arithmetic | easy | What is 1372 / 28? | 49 | Divide: 1372 ÷ 28 = 49 because 28*49=1372. | division |
730,616 | 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 |
730,617 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
730,618 | algebra | easy | Solve for x: 7x - 27 = 85 | 16 | Add 27 to both sides: 7x = 85+27=112. Then x = 112/7 = 16. | linear_equation |
730,619 | arithmetic | easy | What is 12740 / 70? | 182 | Divide: 12740 ÷ 70 = 182 because 70*182=12740. | division |
730,620 | 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 |
730,621 | statistics | easy | What is the mean (average) of 45, 47, 95? | 62.33 | Mean = sum/count. Sum = 45+47+95=187. Count=3. Mean=187/3=62.33. | mean |
730,622 | percentages | easy | What is 79% of 221? | 174.59 | Calculate 79/100 * 221 = 0.79*221 = 174.59. | percentages |
730,623 | arithmetic | easy | What is 71 * 100? | 7100 | Multiply: 71 * 100 = 7100. | basic_operations |
730,624 | arithmetic | easy | What is 64 * 88? | 5632 | Multiply: 64 * 88 = 5632. | basic_operations |
730,625 | algebra | medium | Solve for x: x^2 - 12x + 32 = 0 | x = 4, 8 | Factor: (x - 4)(x - 8) = x^2 -(12)x + 32 = 0. So x = 4 or 8. Check sum = 12, product = 32. | quadratic |
730,626 | 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 |
730,627 | arithmetic | easy | What is 91 * 100? | 9100 | Multiply: 91 * 100 = 9100. | basic_operations |
730,628 | arithmetic | easy | What is 14695 divided by 99? Give answer to 2 decimal places. | 148.43 | Calculate 14695/ 99 = 148.4343, rounded to 2 decimals is 148.43. | division |
730,629 | arithmetic | easy | What is 908 - 456? | 452 | Subtract: 908 - 456 = 452. | basic_operations |
730,630 | number_theory | medium | What is the GCD (greatest common divisor) of 66 and 68? | 2 | Find greatest number dividing both 66 and 68. Divisors common, greatest is 2. | gcd |
730,631 | arithmetic | easy | What is 12 * 72? | 864 | Multiply: 12 * 72 = 864. | basic_operations |
730,632 | geometry | easy | Find the perimeter of a rectangle with length 33 and width 93. | 252 | Perimeter = 2*(length+width) = 2*(33+93) = 2*126 = 252. | rectangle_perim |
730,633 | algebra | easy | Solve for x: 15x - 31 = -136 | -7 | Add 31 to both sides: 15x = -136+31=-105. Then x = -105/15 = -7. | linear_equation |
730,634 | statistics | easy | What is the mean (average) of 17, 91, 76, 42, 27? | 50.6 | Mean = sum/count. Sum = 17+91+76+42+27=253. Count=5. Mean=253/5=50.6. | mean |
730,635 | 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 |
730,636 | geometry | easy | Find the circumference of a circle with radius 30. Use pi=3.14159, round to 2 decimals. | 188.5 | Circumference = 2*pi*r = 2*3.14159*30 = 188.5. | circle_circum |
730,637 | calculus | medium | What is the derivative of 3x^8 with respect to x? | 24x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^8] = 3*8*x^7 = 24x^7. | derivative |
730,638 | fractions | medium | What is 18/13 + 15/15? Give as simplified fraction. | 31/13 | Common denominator 13*15=195. 18/13=270/195, 15/15=195/195. Sum = 465/195 = 31/13 simplified. | fraction_operations |
730,639 | arithmetic | easy | What is 74 * 61? | 4514 | Multiply: 74 * 61 = 4514. | basic_operations |
730,640 | algebra | easy | Solve for x: 6x + 13 = -83 | -16 | Subtract 13 from both sides: 6x = -83-13=-96. Then divide by 6: x = -96/6 = -16. | linear_equation |
730,641 | algebra | medium | Solve for x: x^2 + 3x - 70 = 0 | x = 7, -10 | Factor: (x - 7)(x - -10) = x^2 -(-3)x + -70 = 0. So x = 7 or -10. Check sum = -3, product = -70. | quadratic |
730,642 | algebra | medium | Solve for x: x^2 - 4x = 0 | x = 0, 4 | Factor: (x - 0)(x - 4) = x^2 -(4)x + 0 = 0. So x = 0 or 4. Check sum = 4, product = 0. | quadratic |
730,643 | algebra | easy | Solve for x: 12x + 19 = 67 | 4 | Subtract 19 from both sides: 12x = 67-19=48. Then divide by 12: x = 48/12 = 4. | linear_equation |
730,644 | geometry | easy | Find the area of a triangle with base 14 and height 44. | 308 | Area = 0.5*base*height = 0.5*14*44 = 308. | triangle_area |
730,645 | word_problems | easy | If you have 26 apples and you buy 14 more apples, how many apples do you have in total? | 40 | Add initial 26 plus bought 14: 26+14=40. | addition_word |
730,646 | geometry | easy | Find the area of a circle with radius 17. Use pi=3.14159, round to 2 decimals. | 907.92 | Area = pi*r^2 = 3.14159*17^2 = 3.14159*289 = 907.92. | circle_area |
730,647 | word_problems | easy | If you have 30 dollars and you buy 15 more dollars, how many dollars do you have in total? | 45 | Add initial 30 plus bought 15: 30+15=45. | addition_word |
730,648 | algebra | medium | Solve for x: x^2 + 4x + 4 = 0 | x = -2 | Factor as (x - -2)^2 = 0, so root is -2 (double root). Sum of roots = -4, product = 4. | quadratic |
730,649 | arithmetic | easy | What is 368 + 629? | 997 | Add the two numbers: 368 + 629 = 997. | basic_operations |
730,650 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
730,651 | algebra | medium | Solve for x: x^2 - 3x - 18 = 0 | x = 6, -3 | Factor: (x - 6)(x - -3) = x^2 -(3)x + -18 = 0. So x = 6 or -3. Check sum = 3, product = -18. | quadratic |
730,652 | roots | easy | What is the square root of 784? | 28 | Find number that when squared gives 784. 28*28=784, so sqrt(784)=28. | square_roots |
730,653 | fractions | medium | What is 15/10 - 10/4? Give as simplified fraction. | -1 | Common denominator 40. Numerator 60-100=-40. So -40/40 simplifies to -1. | fraction_operations |
730,654 | algebra | medium | Solve for x: x^2 - 49 = 0 | x = -7, 7 | Factor: (x - -7)(x - 7) = x^2 -(0)x + -49 = 0. So x = -7 or 7. Check sum = 0, product = -49. | quadratic |
730,655 | arithmetic | easy | What is 28 * 49? | 1372 | Multiply: 28 * 49 = 1372. | basic_operations |
730,656 | percentages | easy | What is 39% of 752? | 293.28 | Calculate 39/100 * 752 = 0.39*752 = 293.28. | percentages |
730,657 | 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 |
730,658 | arithmetic | easy | What is 84 * 51? | 4284 | Multiply: 84 * 51 = 4284. | basic_operations |
730,659 | algebra | easy | Solve for x: 8x + 50 = 122 | 9 | Subtract 50 from both sides: 8x = 122-50=72. Then divide by 8: x = 72/8 = 9. | linear_equation |
730,660 | percentages | easy | What is 59% of 749? | 441.91 | Calculate 59/100 * 749 = 0.59*749 = 441.91. | percentages |
730,661 | word_problems | easy | If you have 87 apples and you buy 22 more apples, how many apples do you have in total? | 109 | Add initial 87 plus bought 22: 87+22=109. | addition_word |
730,662 | 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 |
730,663 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
730,664 | arithmetic | easy | What is 3190 / 22? | 145 | Divide: 3190 ÷ 22 = 145 because 22*145=3190. | division |
730,665 | arithmetic | easy | What is 13656 divided by 75? Give answer to 2 decimal places. | 182.08 | Calculate 13656/ 75 = 182.0800, rounded to 2 decimals is 182.08. | division |
730,666 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
730,667 | algebra | medium | Solve for x: x^2 + 7x + 6 = 0 | x = -1, -6 | Factor: (x - -1)(x - -6) = x^2 -(-7)x + 6 = 0. So x = -1 or -6. Check sum = -7, product = 6. | quadratic |
730,668 | 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 |
730,669 | roots | easy | What is the square root of 100? | 10 | Find number that when squared gives 100. 10*10=100, so sqrt(100)=10. | square_roots |
730,670 | number_theory | medium | What is the LCM (least common multiple) of 5 and 41? | 205 | LCM = |5*41| / GCD(5,41). GCD=1, so LCM=205/1=205. | lcm |
730,671 | arithmetic | easy | What is 317 + 65 * 92? Remember order of operations. | 6297 | Order of operations (PEMDAS): first 65*92=5980, then 317+5980=6297. | basic_operations |
730,672 | arithmetic | easy | What is 2408 / 7? | 344 | Divide: 2408 ÷ 7 = 344 because 7*344=2408. | division |
730,673 | statistics | easy | What is the mean (average) of 77, 65, 44, 91? | 69.25 | Mean = sum/count. Sum = 77+65+44+91=277. Count=4. Mean=277/4=69.25. | mean |
730,674 | word_problems | easy | If you have 64 apples and you buy 47 more apples, how many apples do you have in total? | 111 | Add initial 64 plus bought 47: 64+47=111. | addition_word |
730,675 | algebra | easy | Solve for x: 13x - 11 = 67 | 6 | Add 11 to both sides: 13x = 67+11=78. Then x = 78/13 = 6. | linear_equation |
730,676 | number_theory | medium | What is the GCD (greatest common divisor) of 70 and 78? | 2 | Find greatest number dividing both 70 and 78. Divisors common, greatest is 2. | gcd |
730,677 | 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 |
730,678 | geometry | easy | Find the area of a triangle with base 20 and height 40. | 400 | Area = 0.5*base*height = 0.5*20*40 = 400. | triangle_area |
730,679 | geometry | easy | Find the perimeter of a rectangle with length 7 and width 17. | 48 | Perimeter = 2*(length+width) = 2*(7+17) = 2*24 = 48. | rectangle_perim |
730,680 | algebra | easy | Solve for x: 4x + 4 = 80 | 19 | Subtract 4 from both sides: 4x = 80-4=76. Then divide by 4: x = 76/4 = 19. | linear_equation |
730,681 | statistics | easy | What is the mean (average) of 32, 71, 49, 56? | 52 | Mean = sum/count. Sum = 32+71+49+56=208. Count=4. Mean=208/4=52.0. | mean |
730,682 | percentages | easy | What is 66% of 455? | 300.3 | Calculate 66/100 * 455 = 0.66*455 = 300.3. | percentages |
730,683 | fractions | medium | What is 19/6 + 20/3? Give as simplified fraction. | 59/6 | Common denominator 6*3=18. 19/6=57/18, 20/3=120/18. Sum = 177/18 = 59/6 simplified. | fraction_operations |
730,684 | number_theory | medium | What is the GCD (greatest common divisor) of 46 and 20? | 2 | Find greatest number dividing both 46 and 20. Divisors common, greatest is 2. | gcd |
730,685 | statistics | easy | What is the mean (average) of 15, 39, 83, 66, 60? | 52.6 | Mean = sum/count. Sum = 15+39+83+66+60=263. Count=5. Mean=263/5=52.6. | mean |
730,686 | number_theory | medium | What is the LCM (least common multiple) of 73 and 66? | 4818 | LCM = |73*66| / GCD(73,66). GCD=1, so LCM=4818/1=4818. | lcm |
730,687 | 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 |
730,688 | 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 |
730,689 | statistics | easy | What is the mean (average) of 13, 55, 25? | 31 | Mean = sum/count. Sum = 13+55+25=93. Count=3. Mean=93/3=31.0. | mean |
730,690 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
730,691 | statistics | easy | What is the mean (average) of 51, 78, 20, 30? | 44.75 | Mean = sum/count. Sum = 51+78+20+30=179. Count=4. Mean=179/4=44.75. | mean |
730,692 | algebra | medium | Solve for x: x^2 + 11x + 10 = 0 | x = -10, -1 | Factor: (x - -10)(x - -1) = x^2 -(-11)x + 10 = 0. So x = -10 or -1. Check sum = -11, product = 10. | quadratic |
730,693 | roots | easy | What is the square root of 484? | 22 | Find number that when squared gives 484. 22*22=484, so sqrt(484)=22. | square_roots |
730,694 | arithmetic | easy | What is 15050 / 50? | 301 | Divide: 15050 ÷ 50 = 301 because 50*301=15050. | division |
730,695 | arithmetic | easy | What is 16863 / 77? | 219 | Divide: 16863 ÷ 77 = 219 because 77*219=16863. | division |
730,696 | 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 |
730,697 | word_problems | easy | If you have 54 dollars and you buy 38 more dollars, how many dollars do you have in total? | 92 | Add initial 54 plus bought 38: 54+38=92. | addition_word |
730,698 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
730,699 | statistics | easy | What is the mean (average) of 43, 13, 5, 80? | 35.25 | Mean = sum/count. Sum = 43+13+5+80=141. Count=4. Mean=141/4=35.25. | mean |
730,700 | geometry | easy | Find the area of a rectangle with length 30 and width 31. | 930 | Area = length * width = 30*31 = 930. | rectangle_area |
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