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 |
|---|---|---|---|---|---|---|
11,701 | geometry | easy | Find the area of a circle with radius 6. Use pi=3.14159, round to 2 decimals. | 113.1 | Area = pi*r^2 = 3.14159*6^2 = 3.14159*36 = 113.1. | circle_area |
11,702 | percentages | easy | What is 24% of 521? | 125.04 | Calculate 24/100 * 521 = 0.24*521 = 125.04. | percentages |
11,703 | arithmetic | easy | What is 888 - 91? | 797 | Subtract: 888 - 91 = 797. | basic_operations |
11,704 | 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 |
11,705 | statistics | easy | What is the mean (average) of 77, 91, 21, 100, 75? | 72.8 | Mean = sum/count. Sum = 77+91+21+100+75=364. Count=5. Mean=364/5=72.8. | mean |
11,706 | word_problems | easy | If you have 100 dollars and you buy 46 more dollars, how many dollars do you have in total? | 146 | Add initial 100 plus bought 46: 100+46=146. | addition_word |
11,707 | arithmetic | easy | What is 880 - 735? | 145 | Subtract: 880 - 735 = 145. | basic_operations |
11,708 | exponents | easy | What is 2^2? | 4 | 2^2 means multiply 2 by itself 2 times: 2*2 = 4. | exponents |
11,709 | exponents | easy | What is 8^4? | 4096 | 8^4 means multiply 8 by itself 4 times: 8*8*8*8 = 4096. | exponents |
11,710 | geometry | easy | Find the circumference of a circle with radius 16. Use pi=3.14159, round to 2 decimals. | 100.53 | Circumference = 2*pi*r = 2*3.14159*16 = 100.53. | circle_circum |
11,711 | algebra | easy | Solve for x: 10x + 21 = 141 | 12 | Subtract 21 from both sides: 10x = 141-21=120. Then divide by 10: x = 120/10 = 12. | linear_equation |
11,712 | statistics | easy | What is the mean (average) of 3, 83, 62, 97, 32? | 55.4 | Mean = sum/count. Sum = 3+83+62+97+32=277. Count=5. Mean=277/5=55.4. | mean |
11,713 | statistics | easy | What is the mean (average) of 86, 82, 87, 62? | 79.25 | Mean = sum/count. Sum = 86+82+87+62=317. Count=4. Mean=317/4=79.25. | mean |
11,714 | 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 |
11,715 | geometry | easy | Find the area of a triangle with base 61 and height 27. | 823.5 | Area = 0.5*base*height = 0.5*61*27 = 823.5. | triangle_area |
11,716 | word_problems | easy | If you have 72 dollars and you buy 3 more dollars, how many dollars do you have in total? | 75 | Add initial 72 plus bought 3: 72+3=75. | addition_word |
11,717 | percentages | easy | What is 36% of 878? | 316.08 | Calculate 36/100 * 878 = 0.36*878 = 316.08. | percentages |
11,718 | algebra | easy | Solve for x: 12x - 36 = 156 | 16 | Add 36 to both sides: 12x = 156+36=192. Then x = 192/12 = 16. | linear_equation |
11,719 | arithmetic | easy | What is 16326 divided by 70? Give answer to 2 decimal places. | 233.23 | Calculate 16326/ 70 = 233.2286, rounded to 2 decimals is 233.23. | division |
11,720 | algebra | easy | Solve for x: 18x + 23 = 167 | 8 | Subtract 23 from both sides: 18x = 167-23=144. Then divide by 18: x = 144/18 = 8. | linear_equation |
11,721 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
11,722 | word_problems | easy | If you have 60 candies and you buy 28 more candies, how many candies do you have in total? | 88 | Add initial 60 plus bought 28: 60+28=88. | addition_word |
11,723 | arithmetic | easy | What is 16 + 77 * 11? Remember order of operations. | 863 | Order of operations (PEMDAS): first 77*11=847, then 16+847=863. | basic_operations |
11,724 | number_theory | medium | What is the LCM (least common multiple) of 21 and 49? | 147 | LCM = |21*49| / GCD(21,49). GCD=7, so LCM=1029/7=147. | lcm |
11,725 | algebra | easy | Solve for x: 11x + 23 = 232 | 19 | Subtract 23 from both sides: 11x = 232-23=209. Then divide by 11: x = 209/11 = 19. | linear_equation |
11,726 | fractions | medium | What is 4/16 - 14/20? Give as simplified fraction. | -9/20 | Common denominator 320. Numerator 80-224=-144. So -144/320 simplifies to -9/20. | fraction_operations |
11,727 | arithmetic | easy | What is 813 - 544? | 269 | Subtract: 813 - 544 = 269. | basic_operations |
11,728 | word_problems | easy | If you have 45 apples and you buy 37 more apples, how many apples do you have in total? | 82 | Add initial 45 plus bought 37: 45+37=82. | addition_word |
11,729 | arithmetic | easy | What is 644 - 384? | 260 | Subtract: 644 - 384 = 260. | basic_operations |
11,730 | fractions | medium | What is 19/15 * 16/3? Give as simplified fraction. | 304/45 | Multiply numerators: 19*16=304. Denominators: 15*3=45. Simplify by gcd 1 to get 304/45. | fraction_operations |
11,731 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
11,732 | statistics | easy | What is the mean (average) of 15, 35, 5, 46? | 25.25 | Mean = sum/count. Sum = 15+35+5+46=101. Count=4. Mean=101/4=25.25. | mean |
11,733 | word_problems | easy | If you have 64 books and you buy 4 more books, how many books do you have in total? | 68 | Add initial 64 plus bought 4: 64+4=68. | addition_word |
11,734 | number_theory | medium | What is the GCD (greatest common divisor) of 96 and 3? | 3 | Find greatest number dividing both 96 and 3. Divisors common, greatest is 3. | gcd |
11,735 | number_theory | medium | What is the LCM (least common multiple) of 48 and 37? | 1776 | LCM = |48*37| / GCD(48,37). GCD=1, so LCM=1776/1=1776. | lcm |
11,736 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
11,737 | word_problems | easy | If you have 46 dollars and you buy 9 more dollars, how many dollars do you have in total? | 55 | Add initial 46 plus bought 9: 46+9=55. | addition_word |
11,738 | calculus | medium | What is the derivative of 4x^7 with respect to x? | 28x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^7] = 4*7*x^6 = 28x^6. | derivative |
11,739 | statistics | easy | What is the mean (average) of 35, 96, 71, 35? | 59.25 | Mean = sum/count. Sum = 35+96+71+35=237. Count=4. Mean=237/4=59.25. | mean |
11,740 | number_theory | medium | What is the LCM (least common multiple) of 44 and 94? | 2068 | LCM = |44*94| / GCD(44,94). GCD=2, so LCM=4136/2=2068. | lcm |
11,741 | statistics | easy | What is the mean (average) of 97, 87, 53, 27? | 66 | Mean = sum/count. Sum = 97+87+53+27=264. Count=4. Mean=264/4=66.0. | mean |
11,742 | percentages | easy | What is 44% of 707? | 311.08 | Calculate 44/100 * 707 = 0.44*707 = 311.08. | percentages |
11,743 | geometry | easy | Find the perimeter of a rectangle with length 1 and width 91. | 184 | Perimeter = 2*(length+width) = 2*(1+91) = 2*92 = 184. | rectangle_perim |
11,744 | 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 |
11,745 | roots | easy | What is the square root of 196? | 14 | Find number that when squared gives 196. 14*14=196, so sqrt(196)=14. | square_roots |
11,746 | arithmetic | easy | What is 703 - 461? | 242 | Subtract: 703 - 461 = 242. | basic_operations |
11,747 | statistics | easy | What is the mean (average) of 68, 81, 91? | 80 | Mean = sum/count. Sum = 68+81+91=240. Count=3. Mean=240/3=80.0. | mean |
11,748 | algebra | easy | Solve for x: 16x - 1 = 255 | 16 | Add 1 to both sides: 16x = 255+1=256. Then x = 256/16 = 16. | linear_equation |
11,749 | 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 |
11,750 | statistics | easy | What is the mean (average) of 92, 72, 75? | 79.67 | Mean = sum/count. Sum = 92+72+75=239. Count=3. Mean=239/3=79.67. | mean |
11,751 | geometry | easy | Find the perimeter of a rectangle with length 95 and width 83. | 356 | Perimeter = 2*(length+width) = 2*(95+83) = 2*178 = 356. | rectangle_perim |
11,752 | 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 |
11,753 | 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 |
11,754 | 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 |
11,755 | arithmetic | easy | What is 807 - 652? | 155 | Subtract: 807 - 652 = 155. | basic_operations |
11,756 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
11,757 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
11,758 | arithmetic | easy | What is 51 * 14? | 714 | Multiply: 51 * 14 = 714. | basic_operations |
11,759 | percentages | easy | What is 62% of 508? | 314.96 | Calculate 62/100 * 508 = 0.62*508 = 314.96. | percentages |
11,760 | word_problems | easy | If you have 92 dollars and you buy 34 more dollars, how many dollars do you have in total? | 126 | Add initial 92 plus bought 34: 92+34=126. | addition_word |
11,761 | algebra | easy | Solve for x: 9x + 12 = -114 | -14 | Subtract 12 from both sides: 9x = -114-12=-126. Then divide by 9: x = -126/9 = -14. | linear_equation |
11,762 | 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 |
11,763 | arithmetic | easy | What is 601 + 115? | 716 | Add the two numbers: 601 + 115 = 716. | basic_operations |
11,764 | 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 |
11,765 | 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 |
11,766 | statistics | easy | What is the mean (average) of 44, 78, 23? | 48.33 | Mean = sum/count. Sum = 44+78+23=145. Count=3. Mean=145/3=48.33. | mean |
11,767 | number_theory | medium | What is the LCM (least common multiple) of 5 and 13? | 65 | LCM = |5*13| / GCD(5,13). GCD=1, so LCM=65/1=65. | lcm |
11,768 | arithmetic | easy | What is 438 - 358? | 80 | Subtract: 438 - 358 = 80. | basic_operations |
11,769 | statistics | easy | What is the mean (average) of 66, 19, 27, 7, 62? | 36.2 | Mean = sum/count. Sum = 66+19+27+7+62=181. Count=5. Mean=181/5=36.2. | mean |
11,770 | arithmetic | easy | What is 22 + 537 * 9? Remember order of operations. | 4855 | Order of operations (PEMDAS): first 537*9=4833, then 22+4833=4855. | basic_operations |
11,771 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
11,772 | algebra | easy | Solve for x: 7x + 48 = 118 | 10 | Subtract 48 from both sides: 7x = 118-48=70. Then divide by 7: x = 70/7 = 10. | linear_equation |
11,773 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
11,774 | 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 |
11,775 | algebra | medium | Solve for x: x^2 - 7x - 18 = 0 | x = -2, 9 | Factor: (x - -2)(x - 9) = x^2 -(7)x + -18 = 0. So x = -2 or 9. Check sum = 7, product = -18. | quadratic |
11,776 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
11,777 | arithmetic | easy | What is 82 * 46? | 3772 | Multiply: 82 * 46 = 3772. | basic_operations |
11,778 | arithmetic | easy | What is 5627 / 17? | 331 | Divide: 5627 ÷ 17 = 331 because 17*331=5627. | division |
11,779 | 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 |
11,780 | arithmetic | easy | What is 20 * 71? | 1420 | Multiply: 20 * 71 = 1420. | basic_operations |
11,781 | arithmetic | easy | What is 7805 / 35? | 223 | Divide: 7805 ÷ 35 = 223 because 35*223=7805. | division |
11,782 | arithmetic | easy | What is 4020 / 12? | 335 | Divide: 4020 ÷ 12 = 335 because 12*335=4020. | division |
11,783 | fractions | medium | What is 8/20 * 2/13? Give as simplified fraction. | 4/65 | Multiply numerators: 8*2=16. Denominators: 20*13=260. Simplify by gcd 4 to get 4/65. | fraction_operations |
11,784 | 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 |
11,785 | geometry | easy | Find the perimeter of a rectangle with length 28 and width 74. | 204 | Perimeter = 2*(length+width) = 2*(28+74) = 2*102 = 204. | rectangle_perim |
11,786 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
11,787 | statistics | easy | What is the mean (average) of 87, 96, 37, 21? | 60.25 | Mean = sum/count. Sum = 87+96+37+21=241. Count=4. Mean=241/4=60.25. | mean |
11,788 | exponents | easy | What is 8^3? | 512 | 8^3 means multiply 8 by itself 3 times: 8*8*8 = 512. | exponents |
11,789 | statistics | easy | What is the mean (average) of 62, 31, 40, 81, 71? | 57 | Mean = sum/count. Sum = 62+31+40+81+71=285. Count=5. Mean=285/5=57.0. | mean |
11,790 | 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 |
11,791 | percentages | easy | What is 2% of 836? | 16.72 | Calculate 2/100 * 836 = 0.02*836 = 16.72. | percentages |
11,792 | algebra | medium | Solve for x: x^2 - 9x + 20 = 0 | x = 4, 5 | Factor: (x - 4)(x - 5) = x^2 -(9)x + 20 = 0. So x = 4 or 5. Check sum = 9, product = 20. | quadratic |
11,793 | algebra | easy | Solve for x: 3x + 8 = 56 | 16 | Subtract 8 from both sides: 3x = 56-8=48. Then divide by 3: x = 48/3 = 16. | linear_equation |
11,794 | fractions | medium | What is 3/14 + 6/13? Give as simplified fraction. | 123/182 | Common denominator 14*13=182. 3/14=39/182, 6/13=84/182. Sum = 123/182 = 123/182 simplified. | fraction_operations |
11,795 | roots | easy | What is the square root of 529? | 23 | Find number that when squared gives 529. 23*23=529, so sqrt(529)=23. | square_roots |
11,796 | fractions | medium | What is 6/15 - 15/6? Give as simplified fraction. | -21/10 | Common denominator 90. Numerator 36-225=-189. So -189/90 simplifies to -21/10. | fraction_operations |
11,797 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
11,798 | 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 |
11,799 | word_problems | easy | If you have 95 pencils and you buy 32 more pencils, how many pencils do you have in total? | 127 | Add initial 95 plus bought 32: 95+32=127. | addition_word |
11,800 | percentages | easy | What is 94% of 523? | 491.62 | Calculate 94/100 * 523 = 0.94*523 = 491.62. | percentages |
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