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 |
|---|---|---|---|---|---|---|
6,701 | arithmetic | easy | What is 1760 / 11? | 160 | Divide: 1760 ÷ 11 = 160 because 11*160=1760. | division |
6,702 | statistics | easy | What is the mean (average) of 84, 90, 14? | 62.67 | Mean = sum/count. Sum = 84+90+14=188. Count=3. Mean=188/3=62.67. | mean |
6,703 | algebra | easy | Solve for x: 8x + 32 = 32 | 0 | Subtract 32 from both sides: 8x = 32-32=0. Then divide by 8: x = 0/8 = 0. | linear_equation |
6,704 | arithmetic | easy | What is 411 + 204 * 69? Remember order of operations. | 14487 | Order of operations (PEMDAS): first 204*69=14076, then 411+14076=14487. | basic_operations |
6,705 | calculus | medium | What is the derivative of 9x^8 with respect to x? | 72x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^8] = 9*8*x^7 = 72x^7. | derivative |
6,706 | arithmetic | easy | What is 57 * 58? | 3306 | Multiply: 57 * 58 = 3306. | basic_operations |
6,707 | arithmetic | easy | What is 895 + 904? | 1799 | Add the two numbers: 895 + 904 = 1799. | basic_operations |
6,708 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
6,709 | number_theory | medium | What is the LCM (least common multiple) of 55 and 66? | 330 | LCM = |55*66| / GCD(55,66). GCD=11, so LCM=3630/11=330. | lcm |
6,710 | geometry | easy | Find the circumference of a circle with radius 31. Use pi=3.14159, round to 2 decimals. | 194.78 | Circumference = 2*pi*r = 2*3.14159*31 = 194.78. | circle_circum |
6,711 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
6,712 | 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 |
6,713 | 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 |
6,714 | arithmetic | easy | What is 68 + 443? | 511 | Add the two numbers: 68 + 443 = 511. | basic_operations |
6,715 | statistics | easy | What is the mean (average) of 98, 64, 65? | 75.67 | Mean = sum/count. Sum = 98+64+65=227. Count=3. Mean=227/3=75.67. | mean |
6,716 | fractions | medium | What is 4/13 - 19/17? Give as simplified fraction. | -179/221 | Common denominator 221. Numerator 68-247=-179. So -179/221 simplifies to -179/221. | fraction_operations |
6,717 | word_problems | easy | If you have 95 pencils and you buy 11 more pencils, how many pencils do you have in total? | 106 | Add initial 95 plus bought 11: 95+11=106. | addition_word |
6,718 | algebra | easy | Solve for x: 15x - 21 = -231 | -14 | Add 21 to both sides: 15x = -231+21=-210. Then x = -210/15 = -14. | linear_equation |
6,719 | calculus | medium | What is the derivative of 4x^6 with respect to x? | 24x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^6] = 4*6*x^5 = 24x^5. | derivative |
6,720 | arithmetic | easy | What is 579 - 140? | 439 | Subtract: 579 - 140 = 439. | basic_operations |
6,721 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
6,722 | percentages | easy | What is 30% of 180? | 54 | Calculate 30/100 * 180 = 0.3*180 = 54. | percentages |
6,723 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
6,724 | number_theory | medium | What is the LCM (least common multiple) of 9 and 71? | 639 | LCM = |9*71| / GCD(9,71). GCD=1, so LCM=639/1=639. | lcm |
6,725 | geometry | easy | Find the area of a triangle with base 32 and height 75. | 1200 | Area = 0.5*base*height = 0.5*32*75 = 1200. | triangle_area |
6,726 | 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 |
6,727 | calculus | medium | What is the derivative of 8x^2 with respect to x? | 16x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^2] = 8*2*x^1 = 16x. | derivative |
6,728 | fractions | medium | What is 10/11 * 13/17? Give as simplified fraction. | 130/187 | Multiply numerators: 10*13=130. Denominators: 11*17=187. Simplify by gcd 1 to get 130/187. | fraction_operations |
6,729 | geometry | easy | Find the circumference of a circle with radius 12. Use pi=3.14159, round to 2 decimals. | 75.4 | Circumference = 2*pi*r = 2*3.14159*12 = 75.4. | circle_circum |
6,730 | arithmetic | easy | What is 17526 / 46? | 381 | Divide: 17526 ÷ 46 = 381 because 46*381=17526. | division |
6,731 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
6,732 | statistics | easy | What is the mean (average) of 95, 79, 15, 55? | 61 | Mean = sum/count. Sum = 95+79+15+55=244. Count=4. Mean=244/4=61.0. | mean |
6,733 | arithmetic | easy | What is 453 + 4? | 457 | Add the two numbers: 453 + 4 = 457. | basic_operations |
6,734 | algebra | medium | Solve for x: x^2 + 2x - 48 = 0 | x = -8, 6 | Factor: (x - -8)(x - 6) = x^2 -(-2)x + -48 = 0. So x = -8 or 6. Check sum = -2, product = -48. | quadratic |
6,735 | arithmetic | easy | What is 15370 / 53? | 290 | Divide: 15370 ÷ 53 = 290 because 53*290=15370. | division |
6,736 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
6,737 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
6,738 | calculus | medium | What is the derivative of 1x^7 with respect to x? | 7x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^7] = 1*7*x^6 = 7x^6. | derivative |
6,739 | geometry | easy | Find the area of a triangle with base 27 and height 89. | 1201.5 | Area = 0.5*base*height = 0.5*27*89 = 1201.5. | triangle_area |
6,740 | statistics | easy | What is the mean (average) of 37, 4, 95, 17? | 38.25 | Mean = sum/count. Sum = 37+4+95+17=153. Count=4. Mean=153/4=38.25. | mean |
6,741 | algebra | easy | Solve for x: 18x + 1 = -35 | -2 | Subtract 1 from both sides: 18x = -35-1=-36. Then divide by 18: x = -36/18 = -2. | linear_equation |
6,742 | percentages | easy | What is 26% of 790? | 205.4 | Calculate 26/100 * 790 = 0.26*790 = 205.4. | percentages |
6,743 | arithmetic | easy | What is 45 + 96 * 55? Remember order of operations. | 5325 | Order of operations (PEMDAS): first 96*55=5280, then 45+5280=5325. | basic_operations |
6,744 | calculus | medium | What is the derivative of 3x^7 with respect to x? | 21x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^7] = 3*7*x^6 = 21x^6. | derivative |
6,745 | arithmetic | easy | What is 33386 divided by 73? Give answer to 2 decimal places. | 457.34 | Calculate 33386/ 73 = 457.3425, rounded to 2 decimals is 457.34. | division |
6,746 | calculus | medium | What is the derivative of 8x^5 with respect to x? | 40x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^5] = 8*5*x^4 = 40x^4. | derivative |
6,747 | arithmetic | easy | What is 29923 divided by 78? Give answer to 2 decimal places. | 383.63 | Calculate 29923/ 78 = 383.6282, rounded to 2 decimals is 383.63. | division |
6,748 | 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 |
6,749 | arithmetic | easy | What is 51 + 31 * 41? Remember order of operations. | 1322 | Order of operations (PEMDAS): first 31*41=1271, then 51+1271=1322. | basic_operations |
6,750 | arithmetic | easy | What is 138 + 813? | 951 | Add the two numbers: 138 + 813 = 951. | basic_operations |
6,751 | percentages | easy | What is 35% of 629? | 220.15 | Calculate 35/100 * 629 = 0.35*629 = 220.15. | percentages |
6,752 | arithmetic | easy | What is 57 * 55? | 3135 | Multiply: 57 * 55 = 3135. | basic_operations |
6,753 | 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 |
6,754 | number_theory | medium | What is the GCD (greatest common divisor) of 80 and 95? | 5 | Find greatest number dividing both 80 and 95. Divisors common, greatest is 5. | gcd |
6,755 | arithmetic | easy | What is 27466 / 62? | 443 | Divide: 27466 ÷ 62 = 443 because 62*443=27466. | division |
6,756 | 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 |
6,757 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
6,758 | arithmetic | easy | What is 5587 / 37? | 151 | Divide: 5587 ÷ 37 = 151 because 37*151=5587. | division |
6,759 | fractions | medium | What is 8/13 - 3/16? Give as simplified fraction. | 89/208 | Common denominator 208. Numerator 128-39=89. So 89/208 simplifies to 89/208. | fraction_operations |
6,760 | calculus | medium | What is the derivative of 7x^4 with respect to x? | 28x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^4] = 7*4*x^3 = 28x^3. | derivative |
6,761 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
6,762 | arithmetic | easy | What is 113 + 563? | 676 | Add the two numbers: 113 + 563 = 676. | basic_operations |
6,763 | algebra | easy | Solve for x: 13x - 23 = -231 | -16 | Add 23 to both sides: 13x = -231+23=-208. Then x = -208/13 = -16. | linear_equation |
6,764 | number_theory | medium | What is the LCM (least common multiple) of 95 and 83? | 7885 | LCM = |95*83| / GCD(95,83). GCD=1, so LCM=7885/1=7885. | lcm |
6,765 | 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 |
6,766 | algebra | medium | Solve for x: x^2 - 5x - 50 = 0 | x = 10, -5 | Factor: (x - 10)(x - -5) = x^2 -(5)x + -50 = 0. So x = 10 or -5. Check sum = 5, product = -50. | quadratic |
6,767 | statistics | easy | What is the mean (average) of 57, 49, 34, 12, 39? | 38.2 | Mean = sum/count. Sum = 57+49+34+12+39=191. Count=5. Mean=191/5=38.2. | mean |
6,768 | arithmetic | easy | What is 222 + 27 * 71? Remember order of operations. | 2139 | Order of operations (PEMDAS): first 27*71=1917, then 222+1917=2139. | basic_operations |
6,769 | algebra | medium | Solve for x: x^2 = 0 | x = 0 | Factor as (x - 0)^2 = 0, so root is 0 (double root). Sum of roots = 0, product = 0. | quadratic |
6,770 | arithmetic | easy | What is 747 - 740? | 7 | Subtract: 747 - 740 = 7. | basic_operations |
6,771 | geometry | easy | Find the area of a triangle with base 52 and height 62. | 1612 | Area = 0.5*base*height = 0.5*52*62 = 1612. | triangle_area |
6,772 | algebra | easy | Solve for x: 6x + 18 = 102 | 14 | Subtract 18 from both sides: 6x = 102-18=84. Then divide by 6: x = 84/6 = 14. | linear_equation |
6,773 | percentages | easy | What is 74% of 1? | 0.74 | Calculate 74/100 * 1 = 0.74*1 = 0.74. | percentages |
6,774 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
6,775 | percentages | easy | What is 9% of 259? | 23.31 | Calculate 9/100 * 259 = 0.09*259 = 23.31. | percentages |
6,776 | number_theory | medium | What is the GCD (greatest common divisor) of 36 and 49? | 1 | Find greatest number dividing both 36 and 49. Divisors common, greatest is 1. | gcd |
6,777 | number_theory | medium | What is the LCM (least common multiple) of 88 and 62? | 2728 | LCM = |88*62| / GCD(88,62). GCD=2, so LCM=5456/2=2728. | lcm |
6,778 | fractions | medium | What is 5/13 - 3/5? Give as simplified fraction. | -14/65 | Common denominator 65. Numerator 25-39=-14. So -14/65 simplifies to -14/65. | fraction_operations |
6,779 | word_problems | easy | If you have 72 candies and you buy 34 more candies, how many candies do you have in total? | 106 | Add initial 72 plus bought 34: 72+34=106. | addition_word |
6,780 | 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 |
6,781 | arithmetic | easy | What is 138 + 896 * 89? Remember order of operations. | 79882 | Order of operations (PEMDAS): first 896*89=79744, then 138+79744=79882. | basic_operations |
6,782 | roots | easy | What is the square root of 361? | 19 | Find number that when squared gives 361. 19*19=361, so sqrt(361)=19. | square_roots |
6,783 | percentages | easy | What is 57% of 508? | 289.56 | Calculate 57/100 * 508 = 0.57*508 = 289.56. | percentages |
6,784 | 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 |
6,785 | arithmetic | easy | What is 6700 / 67? | 100 | Divide: 6700 ÷ 67 = 100 because 67*100=6700. | division |
6,786 | arithmetic | easy | What is 69 * 62? | 4278 | Multiply: 69 * 62 = 4278. | basic_operations |
6,787 | arithmetic | easy | What is 320 + 212? | 532 | Add the two numbers: 320 + 212 = 532. | basic_operations |
6,788 | arithmetic | easy | What is 257 - 235? | 22 | Subtract: 257 - 235 = 22. | basic_operations |
6,789 | algebra | medium | Solve for x: x^2 - 3x - 70 = 0 | x = 10, -7 | Factor: (x - 10)(x - -7) = x^2 -(3)x + -70 = 0. So x = 10 or -7. Check sum = 3, product = -70. | quadratic |
6,790 | arithmetic | easy | What is 498 + 818? | 1316 | Add the two numbers: 498 + 818 = 1316. | basic_operations |
6,791 | arithmetic | easy | What is 2211 divided by 7? Give answer to 2 decimal places. | 315.86 | Calculate 2211/ 7 = 315.8571, rounded to 2 decimals is 315.86. | division |
6,792 | 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 |
6,793 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
6,794 | word_problems | easy | If you have 11 pencils and you buy 27 more pencils, how many pencils do you have in total? | 38 | Add initial 11 plus bought 27: 11+27=38. | addition_word |
6,795 | arithmetic | easy | What is 85 + 26 * 55? Remember order of operations. | 1515 | Order of operations (PEMDAS): first 26*55=1430, then 85+1430=1515. | basic_operations |
6,796 | arithmetic | easy | What is 382 + 965? | 1347 | Add the two numbers: 382 + 965 = 1347. | basic_operations |
6,797 | fractions | medium | What is 1/14 + 2/3? Give as simplified fraction. | 31/42 | Common denominator 14*3=42. 1/14=3/42, 2/3=28/42. Sum = 31/42 = 31/42 simplified. | fraction_operations |
6,798 | fractions | medium | What is 2/7 - 17/15? Give as simplified fraction. | -89/105 | Common denominator 105. Numerator 30-119=-89. So -89/105 simplifies to -89/105. | fraction_operations |
6,799 | roots | easy | What is the square root of 2025? | 45 | Find number that when squared gives 2025. 45*45=2025, so sqrt(2025)=45. | square_roots |
6,800 | arithmetic | easy | What is 692 + 335 * 18? Remember order of operations. | 6722 | Order of operations (PEMDAS): first 335*18=6030, then 692+6030=6722. | basic_operations |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.