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 |
|---|---|---|---|---|---|---|
12,701 | arithmetic | easy | What is 13734 / 42? | 327 | Divide: 13734 ÷ 42 = 327 because 42*327=13734. | division |
12,702 | geometry | easy | Find the perimeter of a rectangle with length 60 and width 55. | 230 | Perimeter = 2*(length+width) = 2*(60+55) = 2*115 = 230. | rectangle_perim |
12,703 | 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 |
12,704 | arithmetic | easy | What is 831 - 668? | 163 | Subtract: 831 - 668 = 163. | basic_operations |
12,705 | fractions | medium | What is 8/9 - 8/12? Give as simplified fraction. | 2/9 | Common denominator 108. Numerator 96-72=24. So 24/108 simplifies to 2/9. | fraction_operations |
12,706 | exponents | easy | What is 4^2? | 16 | 4^2 means multiply 4 by itself 2 times: 4*4 = 16. | exponents |
12,707 | arithmetic | easy | What is 565 - 275? | 290 | Subtract: 565 - 275 = 290. | basic_operations |
12,708 | calculus | medium | What is the derivative of 7x^2 with respect to x? | 14x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^2] = 7*2*x^1 = 14x. | derivative |
12,709 | algebra | medium | Solve for x: x^2 - 9x + 8 = 0 | x = 8, 1 | Factor: (x - 8)(x - 1) = x^2 -(9)x + 8 = 0. So x = 8 or 1. Check sum = 9, product = 8. | quadratic |
12,710 | arithmetic | easy | What is 749 + 425 * 37? Remember order of operations. | 16474 | Order of operations (PEMDAS): first 425*37=15725, then 749+15725=16474. | basic_operations |
12,711 | arithmetic | easy | What is 84 * 63? | 5292 | Multiply: 84 * 63 = 5292. | basic_operations |
12,712 | algebra | medium | Solve for x: x^2 - 13x + 30 = 0 | x = 10, 3 | Factor: (x - 10)(x - 3) = x^2 -(13)x + 30 = 0. So x = 10 or 3. Check sum = 13, product = 30. | quadratic |
12,713 | number_theory | medium | What is the LCM (least common multiple) of 18 and 28? | 252 | LCM = |18*28| / GCD(18,28). GCD=2, so LCM=504/2=252. | lcm |
12,714 | 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 |
12,715 | number_theory | medium | What is the GCD (greatest common divisor) of 37 and 55? | 1 | Find greatest number dividing both 37 and 55. Divisors common, greatest is 1. | gcd |
12,716 | algebra | easy | Solve for x: 2x - 22 = 6 | 14 | Add 22 to both sides: 2x = 6+22=28. Then x = 28/2 = 14. | linear_equation |
12,717 | 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 |
12,718 | algebra | medium | Solve for x: x^2 - 1x - 6 = 0 | x = 3, -2 | Factor: (x - 3)(x - -2) = x^2 -(1)x + -6 = 0. So x = 3 or -2. Check sum = 1, product = -6. | quadratic |
12,719 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
12,720 | arithmetic | easy | What is 80 * 23? | 1840 | Multiply: 80 * 23 = 1840. | basic_operations |
12,721 | arithmetic | easy | What is 13920 / 40? | 348 | Divide: 13920 ÷ 40 = 348 because 40*348=13920. | division |
12,722 | fractions | medium | What is 11/10 * 6/12? Give as simplified fraction. | 11/20 | Multiply numerators: 11*6=66. Denominators: 10*12=120. Simplify by gcd 6 to get 11/20. | fraction_operations |
12,723 | 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 |
12,724 | 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 |
12,725 | arithmetic | easy | What is 509 + 711? | 1220 | Add the two numbers: 509 + 711 = 1220. | basic_operations |
12,726 | percentages | easy | What is 65% of 291? | 189.15 | Calculate 65/100 * 291 = 0.65*291 = 189.15. | percentages |
12,727 | word_problems | easy | If you have 47 books and you buy 5 more books, how many books do you have in total? | 52 | Add initial 47 plus bought 5: 47+5=52. | addition_word |
12,728 | geometry | easy | Find the area of a rectangle with length 60 and width 87. | 5220 | Area = length * width = 60*87 = 5220. | rectangle_area |
12,729 | geometry | easy | Find the area of a triangle with base 12 and height 65. | 390 | Area = 0.5*base*height = 0.5*12*65 = 390. | triangle_area |
12,730 | 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 |
12,731 | number_theory | medium | What is the GCD (greatest common divisor) of 90 and 69? | 3 | Find greatest number dividing both 90 and 69. Divisors common, greatest is 3. | gcd |
12,732 | geometry | easy | Find the area of a rectangle with length 98 and width 45. | 4410 | Area = length * width = 98*45 = 4410. | rectangle_area |
12,733 | roots | easy | What is the square root of 2500? | 50 | Find number that when squared gives 2500. 50*50=2500, so sqrt(2500)=50. | square_roots |
12,734 | 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 |
12,735 | number_theory | medium | What is the GCD (greatest common divisor) of 10 and 17? | 1 | Find greatest number dividing both 10 and 17. Divisors common, greatest is 1. | gcd |
12,736 | calculus | medium | What is the derivative of 1x^6 with respect to x? | 6x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^6] = 1*6*x^5 = 6x^5. | derivative |
12,737 | 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 |
12,738 | arithmetic | easy | What is 39330 divided by 81? Give answer to 2 decimal places. | 485.56 | Calculate 39330/ 81 = 485.5556, rounded to 2 decimals is 485.56. | division |
12,739 | fractions | medium | What is 15/6 + 11/9? Give as simplified fraction. | 67/18 | Common denominator 6*9=54. 15/6=135/54, 11/9=66/54. Sum = 201/54 = 67/18 simplified. | fraction_operations |
12,740 | percentages | easy | What is 16% of 324? | 51.84 | Calculate 16/100 * 324 = 0.16*324 = 51.84. | percentages |
12,741 | geometry | easy | Find the circumference of a circle with radius 20. Use pi=3.14159, round to 2 decimals. | 125.66 | Circumference = 2*pi*r = 2*3.14159*20 = 125.66. | circle_circum |
12,742 | percentages | easy | What is 98% of 611? | 598.78 | Calculate 98/100 * 611 = 0.98*611 = 598.78. | percentages |
12,743 | geometry | easy | Find the area of a circle with radius 49. Use pi=3.14159, round to 2 decimals. | 7542.96 | Area = pi*r^2 = 3.14159*49^2 = 3.14159*2401 = 7542.96. | circle_area |
12,744 | algebra | easy | Solve for x: 18x - 48 = -48 | 0 | Add 48 to both sides: 18x = -48+48=0. Then x = 0/18 = 0. | linear_equation |
12,745 | geometry | easy | Find the area of a rectangle with length 8 and width 75. | 600 | Area = length * width = 8*75 = 600. | rectangle_area |
12,746 | algebra | medium | Solve for x: x^2 + 11x + 28 = 0 | x = -4, -7 | Factor: (x - -4)(x - -7) = x^2 -(-11)x + 28 = 0. So x = -4 or -7. Check sum = -11, product = 28. | quadratic |
12,747 | number_theory | medium | What is the LCM (least common multiple) of 7 and 61? | 427 | LCM = |7*61| / GCD(7,61). GCD=1, so LCM=427/1=427. | lcm |
12,748 | percentages | easy | What is 2% of 902? | 18.04 | Calculate 2/100 * 902 = 0.02*902 = 18.04. | percentages |
12,749 | 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 |
12,750 | fractions | medium | What is 19/2 - 2/9? Give as simplified fraction. | 167/18 | Common denominator 18. Numerator 171-4=167. So 167/18 simplifies to 167/18. | fraction_operations |
12,751 | fractions | medium | What is 6/7 + 13/6? Give as simplified fraction. | 127/42 | Common denominator 7*6=42. 6/7=36/42, 13/6=91/42. Sum = 127/42 = 127/42 simplified. | fraction_operations |
12,752 | 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 |
12,753 | number_theory | medium | What is the LCM (least common multiple) of 99 and 91? | 9009 | LCM = |99*91| / GCD(99,91). GCD=1, so LCM=9009/1=9009. | lcm |
12,754 | number_theory | medium | What is the GCD (greatest common divisor) of 93 and 49? | 1 | Find greatest number dividing both 93 and 49. Divisors common, greatest is 1. | gcd |
12,755 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
12,756 | number_theory | medium | What is the LCM (least common multiple) of 50 and 45? | 450 | LCM = |50*45| / GCD(50,45). GCD=5, so LCM=2250/5=450. | lcm |
12,757 | percentages | easy | What is 30% of 609? | 182.7 | Calculate 30/100 * 609 = 0.3*609 = 182.7. | percentages |
12,758 | percentages | easy | What is 78% of 595? | 464.1 | Calculate 78/100 * 595 = 0.78*595 = 464.1. | percentages |
12,759 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
12,760 | arithmetic | easy | What is 593 + 699? | 1292 | Add the two numbers: 593 + 699 = 1292. | basic_operations |
12,761 | number_theory | medium | What is the LCM (least common multiple) of 98 and 57? | 5586 | LCM = |98*57| / GCD(98,57). GCD=1, so LCM=5586/1=5586. | lcm |
12,762 | algebra | medium | Solve for x: x^2 + 4x - 60 = 0 | x = 6, -10 | Factor: (x - 6)(x - -10) = x^2 -(-4)x + -60 = 0. So x = 6 or -10. Check sum = -4, product = -60. | quadratic |
12,763 | 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 |
12,764 | 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 |
12,765 | word_problems | easy | If you have 71 apples and you buy 13 more apples, how many apples do you have in total? | 84 | Add initial 71 plus bought 13: 71+13=84. | addition_word |
12,766 | arithmetic | easy | What is 617 - 575? | 42 | Subtract: 617 - 575 = 42. | basic_operations |
12,767 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
12,768 | word_problems | easy | If you have 42 candies and you buy 22 more candies, how many candies do you have in total? | 64 | Add initial 42 plus bought 22: 42+22=64. | addition_word |
12,769 | algebra | medium | Solve for x: x^2 - 2x = 0 | x = 0, 2 | Factor: (x - 0)(x - 2) = x^2 -(2)x + 0 = 0. So x = 0 or 2. Check sum = 2, product = 0. | quadratic |
12,770 | word_problems | easy | If you have 5 books and you buy 14 more books, how many books do you have in total? | 19 | Add initial 5 plus bought 14: 5+14=19. | addition_word |
12,771 | word_problems | easy | If you have 17 pencils and you buy 35 more pencils, how many pencils do you have in total? | 52 | Add initial 17 plus bought 35: 17+35=52. | addition_word |
12,772 | word_problems | easy | If you have 50 candies and you buy 34 more candies, how many candies do you have in total? | 84 | Add initial 50 plus bought 34: 50+34=84. | addition_word |
12,773 | 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 |
12,774 | arithmetic | easy | What is 681 - 136? | 545 | Subtract: 681 - 136 = 545. | basic_operations |
12,775 | algebra | easy | Solve for x: 2x - 18 = -8 | 5 | Add 18 to both sides: 2x = -8+18=10. Then x = 10/2 = 5. | linear_equation |
12,776 | arithmetic | easy | What is 908 + 474? | 1382 | Add the two numbers: 908 + 474 = 1382. | basic_operations |
12,777 | calculus | medium | What is the derivative of 5x^8 with respect to x? | 40x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^8] = 5*8*x^7 = 40x^7. | derivative |
12,778 | geometry | easy | Find the circumference of a circle with radius 32. Use pi=3.14159, round to 2 decimals. | 201.06 | Circumference = 2*pi*r = 2*3.14159*32 = 201.06. | circle_circum |
12,779 | fractions | medium | What is 20/7 - 2/6? Give as simplified fraction. | 53/21 | Common denominator 42. Numerator 120-14=106. So 106/42 simplifies to 53/21. | fraction_operations |
12,780 | geometry | easy | Find the area of a circle with radius 1. Use pi=3.14159, round to 2 decimals. | 3.14 | Area = pi*r^2 = 3.14159*1^2 = 3.14159*1 = 3.14. | circle_area |
12,781 | statistics | easy | What is the mean (average) of 82, 13, 74? | 56.33 | Mean = sum/count. Sum = 82+13+74=169. Count=3. Mean=169/3=56.33. | mean |
12,782 | statistics | easy | What is the mean (average) of 70, 84, 80? | 78 | Mean = sum/count. Sum = 70+84+80=234. Count=3. Mean=234/3=78.0. | mean |
12,783 | arithmetic | easy | What is 124 + 70? | 194 | Add the two numbers: 124 + 70 = 194. | basic_operations |
12,784 | 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 |
12,785 | arithmetic | easy | What is 33 * 17? | 561 | Multiply: 33 * 17 = 561. | basic_operations |
12,786 | arithmetic | easy | What is 796 - 654? | 142 | Subtract: 796 - 654 = 142. | basic_operations |
12,787 | geometry | easy | Find the circumference of a circle with radius 5. Use pi=3.14159, round to 2 decimals. | 31.42 | Circumference = 2*pi*r = 2*3.14159*5 = 31.42. | circle_circum |
12,788 | arithmetic | easy | What is 501 + 712? | 1213 | Add the two numbers: 501 + 712 = 1213. | basic_operations |
12,789 | word_problems | easy | If you have 48 dollars and you buy 27 more dollars, how many dollars do you have in total? | 75 | Add initial 48 plus bought 27: 48+27=75. | addition_word |
12,790 | algebra | easy | Solve for x: 1x + 19 = 14 | -5 | Subtract 19 from both sides: 1x = 14-19=-5. Then divide by 1: x = -5/1 = -5. | linear_equation |
12,791 | arithmetic | easy | What is 41118 / 89? | 462 | Divide: 41118 ÷ 89 = 462 because 89*462=41118. | division |
12,792 | arithmetic | easy | What is 78 + 755? | 833 | Add the two numbers: 78 + 755 = 833. | basic_operations |
12,793 | percentages | easy | What is 23% of 93? | 21.39 | Calculate 23/100 * 93 = 0.23*93 = 21.39. | percentages |
12,794 | roots | easy | What is the square root of 121? | 11 | Find number that when squared gives 121. 11*11=121, so sqrt(121)=11. | square_roots |
12,795 | arithmetic | easy | What is 860 + 61 * 64? Remember order of operations. | 4764 | Order of operations (PEMDAS): first 61*64=3904, then 860+3904=4764. | basic_operations |
12,796 | 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 |
12,797 | fractions | medium | What is 2/19 - 13/2? Give as simplified fraction. | -243/38 | Common denominator 38. Numerator 4-247=-243. So -243/38 simplifies to -243/38. | fraction_operations |
12,798 | algebra | easy | Solve for x: 18x + 34 = -56 | -5 | Subtract 34 from both sides: 18x = -56-34=-90. Then divide by 18: x = -90/18 = -5. | linear_equation |
12,799 | arithmetic | easy | What is 13104 / 52? | 252 | Divide: 13104 ÷ 52 = 252 because 52*252=13104. | division |
12,800 | algebra | easy | Solve for x: 10x - 2 = -42 | -4 | Add 2 to both sides: 10x = -42+2=-40. Then x = -40/10 = -4. | linear_equation |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.