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 |
|---|---|---|---|---|---|---|
4,601 | geometry | easy | Find the area of a rectangle with length 64 and width 57. | 3648 | Area = length * width = 64*57 = 3648. | rectangle_area |
4,602 | word_problems | easy | If you have 81 candies and you buy 19 more candies, how many candies do you have in total? | 100 | Add initial 81 plus bought 19: 81+19=100. | addition_word |
4,603 | algebra | medium | Solve for x: x^2 + 5x - 36 = 0 | x = -9, 4 | Factor: (x - -9)(x - 4) = x^2 -(-5)x + -36 = 0. So x = -9 or 4. Check sum = -5, product = -36. | quadratic |
4,604 | algebra | easy | Solve for x: 13x + 47 = 125 | 6 | Subtract 47 from both sides: 13x = 125-47=78. Then divide by 13: x = 78/13 = 6. | linear_equation |
4,605 | algebra | easy | Solve for x: 20x - 33 = 7 | 2 | Add 33 to both sides: 20x = 7+33=40. Then x = 40/20 = 2. | linear_equation |
4,606 | arithmetic | easy | What is 63 * 93? | 5859 | Multiply: 63 * 93 = 5859. | basic_operations |
4,607 | statistics | easy | What is the mean (average) of 7, 21, 73, 90? | 47.75 | Mean = sum/count. Sum = 7+21+73+90=191. Count=4. Mean=191/4=47.75. | mean |
4,608 | arithmetic | easy | What is 788 + 797? | 1585 | Add the two numbers: 788 + 797 = 1585. | basic_operations |
4,609 | geometry | easy | Find the area of a rectangle with length 25 and width 26. | 650 | Area = length * width = 25*26 = 650. | rectangle_area |
4,610 | fractions | medium | What is 15/9 - 3/6? Give as simplified fraction. | 7/6 | Common denominator 54. Numerator 90-27=63. So 63/54 simplifies to 7/6. | fraction_operations |
4,611 | number_theory | medium | What is the GCD (greatest common divisor) of 92 and 22? | 2 | Find greatest number dividing both 92 and 22. Divisors common, greatest is 2. | gcd |
4,612 | number_theory | medium | What is the LCM (least common multiple) of 52 and 14? | 364 | LCM = |52*14| / GCD(52,14). GCD=2, so LCM=728/2=364. | lcm |
4,613 | arithmetic | easy | What is 476 + 11? | 487 | Add the two numbers: 476 + 11 = 487. | basic_operations |
4,614 | arithmetic | easy | What is 618 + 168 * 1? Remember order of operations. | 786 | Order of operations (PEMDAS): first 168*1=168, then 618+168=786. | basic_operations |
4,615 | 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 |
4,616 | roots | easy | What is the square root of 81? | 9 | Find number that when squared gives 81. 9*9=81, so sqrt(81)=9. | square_roots |
4,617 | word_problems | easy | If you have 68 pencils and you buy 35 more pencils, how many pencils do you have in total? | 103 | Add initial 68 plus bought 35: 68+35=103. | addition_word |
4,618 | number_theory | medium | What is the GCD (greatest common divisor) of 49 and 16? | 1 | Find greatest number dividing both 49 and 16. Divisors common, greatest is 1. | gcd |
4,619 | fractions | medium | What is 15/4 - 18/11? Give as simplified fraction. | 93/44 | Common denominator 44. Numerator 165-72=93. So 93/44 simplifies to 93/44. | fraction_operations |
4,620 | geometry | easy | Find the area of a triangle with base 7 and height 93. | 325.5 | Area = 0.5*base*height = 0.5*7*93 = 325.5. | triangle_area |
4,621 | algebra | medium | Solve for x: x^2 - 8x = 0 | x = 8, 0 | Factor: (x - 8)(x - 0) = x^2 -(8)x + 0 = 0. So x = 8 or 0. Check sum = 8, product = 0. | quadratic |
4,622 | arithmetic | easy | What is 885 - 145? | 740 | Subtract: 885 - 145 = 740. | basic_operations |
4,623 | arithmetic | easy | What is 8094 / 57? | 142 | Divide: 8094 ÷ 57 = 142 because 57*142=8094. | division |
4,624 | percentages | easy | What is 58% of 210? | 121.8 | Calculate 58/100 * 210 = 0.58*210 = 121.8. | percentages |
4,625 | geometry | easy | Find the area of a rectangle with length 51 and width 61. | 3111 | Area = length * width = 51*61 = 3111. | rectangle_area |
4,626 | arithmetic | easy | What is 9295 divided by 20? Give answer to 2 decimal places. | 464.75 | Calculate 9295/ 20 = 464.7500, rounded to 2 decimals is 464.75. | division |
4,627 | 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 |
4,628 | arithmetic | easy | What is 854 + 166? | 1020 | Add the two numbers: 854 + 166 = 1020. | basic_operations |
4,629 | 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 |
4,630 | fractions | medium | What is 9/18 * 14/7? Give as simplified fraction. | 1 | Multiply numerators: 9*14=126. Denominators: 18*7=126. Simplify by gcd 126 to get 1. | fraction_operations |
4,631 | 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 |
4,632 | statistics | easy | What is the mean (average) of 88, 78, 57, 30, 98? | 70.2 | Mean = sum/count. Sum = 88+78+57+30+98=351. Count=5. Mean=351/5=70.2. | mean |
4,633 | 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 |
4,634 | percentages | easy | What is 70% of 249? | 174.3 | Calculate 70/100 * 249 = 0.7*249 = 174.3. | percentages |
4,635 | arithmetic | easy | What is 6138 divided by 67? Give answer to 2 decimal places. | 91.61 | Calculate 6138/ 67 = 91.6119, rounded to 2 decimals is 91.61. | division |
4,636 | arithmetic | easy | What is 347 - 235? | 112 | Subtract: 347 - 235 = 112. | basic_operations |
4,637 | arithmetic | easy | What is 70 * 93? | 6510 | Multiply: 70 * 93 = 6510. | basic_operations |
4,638 | calculus | medium | What is the derivative of 2x^7 with respect to x? | 14x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^7] = 2*7*x^6 = 14x^6. | derivative |
4,639 | word_problems | easy | If you have 66 apples and you buy 45 more apples, how many apples do you have in total? | 111 | Add initial 66 plus bought 45: 66+45=111. | addition_word |
4,640 | calculus | medium | What is the derivative of 8x^8 with respect to x? | 64x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^8] = 8*8*x^7 = 64x^7. | derivative |
4,641 | percentages | easy | What is 52% of 531? | 276.12 | Calculate 52/100 * 531 = 0.52*531 = 276.12. | percentages |
4,642 | algebra | easy | Solve for x: 1x - 4 = -24 | -20 | Add 4 to both sides: 1x = -24+4=-20. Then x = -20/1 = -20. | linear_equation |
4,643 | calculus | medium | What is the derivative of 3x^6 with respect to x? | 18x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^6] = 3*6*x^5 = 18x^5. | derivative |
4,644 | arithmetic | easy | What is 675 + 861 * 22? Remember order of operations. | 19617 | Order of operations (PEMDAS): first 861*22=18942, then 675+18942=19617. | basic_operations |
4,645 | number_theory | medium | What is the GCD (greatest common divisor) of 42 and 87? | 3 | Find greatest number dividing both 42 and 87. Divisors common, greatest is 3. | gcd |
4,646 | arithmetic | easy | What is 696 + 403 * 85? Remember order of operations. | 34951 | Order of operations (PEMDAS): first 403*85=34255, then 696+34255=34951. | basic_operations |
4,647 | roots | easy | What is the square root of 1225? | 35 | Find number that when squared gives 1225. 35*35=1225, so sqrt(1225)=35. | square_roots |
4,648 | word_problems | easy | If you have 18 dollars and you buy 44 more dollars, how many dollars do you have in total? | 62 | Add initial 18 plus bought 44: 18+44=62. | addition_word |
4,649 | calculus | medium | What is the derivative of 3x^6 with respect to x? | 18x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^6] = 3*6*x^5 = 18x^5. | derivative |
4,650 | arithmetic | easy | What is 536 + 667 * 99? Remember order of operations. | 66569 | Order of operations (PEMDAS): first 667*99=66033, then 536+66033=66569. | basic_operations |
4,651 | algebra | easy | Solve for x: 11x + 22 = 77 | 5 | Subtract 22 from both sides: 11x = 77-22=55. Then divide by 11: x = 55/11 = 5. | linear_equation |
4,652 | word_problems | easy | If you have 81 pencils and you buy 3 more pencils, how many pencils do you have in total? | 84 | Add initial 81 plus bought 3: 81+3=84. | addition_word |
4,653 | geometry | easy | Find the perimeter of a rectangle with length 56 and width 80. | 272 | Perimeter = 2*(length+width) = 2*(56+80) = 2*136 = 272. | rectangle_perim |
4,654 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
4,655 | algebra | medium | Solve for x: x^2 + 15x + 54 = 0 | x = -6, -9 | Factor: (x - -6)(x - -9) = x^2 -(-15)x + 54 = 0. So x = -6 or -9. Check sum = -15, product = 54. | quadratic |
4,656 | roots | easy | What is the square root of 9? | 3 | Find number that when squared gives 9. 3*3=9, so sqrt(9)=3. | square_roots |
4,657 | percentages | easy | What is 85% of 862? | 732.7 | Calculate 85/100 * 862 = 0.85*862 = 732.7. | percentages |
4,658 | calculus | medium | What is the indefinite integral of x^6 dx? | x^7/7 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^6 = x^7/7 + C. | integral |
4,659 | geometry | easy | Find the area of a triangle with base 38 and height 83. | 1577 | Area = 0.5*base*height = 0.5*38*83 = 1577. | triangle_area |
4,660 | algebra | easy | Solve for x: 10x + 27 = 37 | 1 | Subtract 27 from both sides: 10x = 37-27=10. Then divide by 10: x = 10/10 = 1. | linear_equation |
4,661 | arithmetic | easy | What is 663 - 87? | 576 | Subtract: 663 - 87 = 576. | basic_operations |
4,662 | word_problems | easy | If you have 9 candies and you buy 45 more candies, how many candies do you have in total? | 54 | Add initial 9 plus bought 45: 9+45=54. | addition_word |
4,663 | arithmetic | easy | What is 366 + 946? | 1312 | Add the two numbers: 366 + 946 = 1312. | basic_operations |
4,664 | calculus | medium | What is the derivative of 7x^5 with respect to x? | 35x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^5] = 7*5*x^4 = 35x^4. | derivative |
4,665 | statistics | easy | What is the mean (average) of 70, 99, 85? | 84.67 | Mean = sum/count. Sum = 70+99+85=254. Count=3. Mean=254/3=84.67. | mean |
4,666 | algebra | medium | Solve for x: x^2 + 1x - 90 = 0 | x = -10, 9 | Factor: (x - -10)(x - 9) = x^2 -(-1)x + -90 = 0. So x = -10 or 9. Check sum = -1, product = -90. | quadratic |
4,667 | word_problems | easy | If you have 40 apples and you buy 25 more apples, how many apples do you have in total? | 65 | Add initial 40 plus bought 25: 40+25=65. | addition_word |
4,668 | arithmetic | easy | What is 737 - 643? | 94 | Subtract: 737 - 643 = 94. | basic_operations |
4,669 | statistics | easy | What is the mean (average) of 70, 20, 80, 74? | 61 | Mean = sum/count. Sum = 70+20+80+74=244. Count=4. Mean=244/4=61.0. | mean |
4,670 | 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 |
4,671 | statistics | easy | What is the mean (average) of 20, 17, 41, 67, 74? | 43.8 | Mean = sum/count. Sum = 20+17+41+67+74=219. Count=5. Mean=219/5=43.8. | mean |
4,672 | fractions | medium | What is 16/3 * 18/12? Give as simplified fraction. | 8 | Multiply numerators: 16*18=288. Denominators: 3*12=36. Simplify by gcd 36 to get 8. | fraction_operations |
4,673 | arithmetic | easy | What is 81 * 31? | 2511 | Multiply: 81 * 31 = 2511. | basic_operations |
4,674 | geometry | easy | Find the area of a rectangle with length 85 and width 47. | 3995 | Area = length * width = 85*47 = 3995. | rectangle_area |
4,675 | calculus | medium | What is the derivative of 10x^5 with respect to x? | 50x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^5] = 10*5*x^4 = 50x^4. | derivative |
4,676 | roots | easy | What is the square root of 1936? | 44 | Find number that when squared gives 1936. 44*44=1936, so sqrt(1936)=44. | square_roots |
4,677 | word_problems | easy | If you have 77 apples and you buy 3 more apples, how many apples do you have in total? | 80 | Add initial 77 plus bought 3: 77+3=80. | addition_word |
4,678 | arithmetic | easy | What is 3312 / 23? | 144 | Divide: 3312 ÷ 23 = 144 because 23*144=3312. | division |
4,679 | 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 |
4,680 | geometry | easy | Find the area of a circle with radius 12. Use pi=3.14159, round to 2 decimals. | 452.39 | Area = pi*r^2 = 3.14159*12^2 = 3.14159*144 = 452.39. | circle_area |
4,681 | calculus | medium | What is the derivative of 10x^5 with respect to x? | 50x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^5] = 10*5*x^4 = 50x^4. | derivative |
4,682 | calculus | medium | What is the derivative of 3x^3 with respect to x? | 9x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^3] = 3*3*x^2 = 9x^2. | derivative |
4,683 | number_theory | medium | What is the GCD (greatest common divisor) of 79 and 38? | 1 | Find greatest number dividing both 79 and 38. Divisors common, greatest is 1. | gcd |
4,684 | percentages | easy | What is 82% of 975? | 799.5 | Calculate 82/100 * 975 = 0.82*975 = 799.5. | percentages |
4,685 | algebra | easy | Solve for x: 18x + 44 = 332 | 16 | Subtract 44 from both sides: 18x = 332-44=288. Then divide by 18: x = 288/18 = 16. | linear_equation |
4,686 | geometry | easy | Find the circumference of a circle with radius 15. Use pi=3.14159, round to 2 decimals. | 94.25 | Circumference = 2*pi*r = 2*3.14159*15 = 94.25. | circle_circum |
4,687 | fractions | medium | What is 18/20 - 4/12? Give as simplified fraction. | 17/30 | Common denominator 240. Numerator 216-80=136. So 136/240 simplifies to 17/30. | fraction_operations |
4,688 | algebra | medium | Solve for x: x^2 + 10x + 16 = 0 | x = -2, -8 | Factor: (x - -2)(x - -8) = x^2 -(-10)x + 16 = 0. So x = -2 or -8. Check sum = -10, product = 16. | quadratic |
4,689 | 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 |
4,690 | roots | easy | What is the square root of 2209? | 47 | Find number that when squared gives 2209. 47*47=2209, so sqrt(2209)=47. | square_roots |
4,691 | statistics | easy | What is the mean (average) of 44, 50, 22? | 38.67 | Mean = sum/count. Sum = 44+50+22=116. Count=3. Mean=116/3=38.67. | mean |
4,692 | algebra | medium | Solve for x: x^2 - 10x + 16 = 0 | x = 2, 8 | Factor: (x - 2)(x - 8) = x^2 -(10)x + 16 = 0. So x = 2 or 8. Check sum = 10, product = 16. | quadratic |
4,693 | percentages | easy | What is 89% of 228? | 202.92 | Calculate 89/100 * 228 = 0.89*228 = 202.92. | percentages |
4,694 | roots | easy | What is the square root of 1156? | 34 | Find number that when squared gives 1156. 34*34=1156, so sqrt(1156)=34. | square_roots |
4,695 | number_theory | medium | What is the GCD (greatest common divisor) of 14 and 29? | 1 | Find greatest number dividing both 14 and 29. Divisors common, greatest is 1. | gcd |
4,696 | calculus | medium | What is the derivative of 6x^4 with respect to x? | 24x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^4] = 6*4*x^3 = 24x^3. | derivative |
4,697 | arithmetic | easy | What is 34 * 50? | 1700 | Multiply: 34 * 50 = 1700. | basic_operations |
4,698 | roots | easy | What is the square root of 4? | 2 | Find number that when squared gives 4. 2*2=4, so sqrt(4)=2. | square_roots |
4,699 | 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 |
4,700 | statistics | easy | What is the mean (average) of 37, 34, 29, 1, 25? | 25.2 | Mean = sum/count. Sum = 37+34+29+1+25=126. Count=5. Mean=126/5=25.2. | mean |
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