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 |
|---|---|---|---|---|---|---|
5,701 | statistics | easy | What is the mean (average) of 2, 37, 72? | 37 | Mean = sum/count. Sum = 2+37+72=111. Count=3. Mean=111/3=37.0. | mean |
5,702 | 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 |
5,703 | 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 |
5,704 | arithmetic | easy | What is 321 - 186? | 135 | Subtract: 321 - 186 = 135. | basic_operations |
5,705 | 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 |
5,706 | fractions | medium | What is 11/9 + 16/18? Give as simplified fraction. | 19/9 | Common denominator 9*18=162. 11/9=198/162, 16/18=144/162. Sum = 342/162 = 19/9 simplified. | fraction_operations |
5,707 | arithmetic | easy | What is 19430 / 67? | 290 | Divide: 19430 ÷ 67 = 290 because 67*290=19430. | division |
5,708 | 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 |
5,709 | statistics | easy | What is the mean (average) of 38, 36, 49? | 41 | Mean = sum/count. Sum = 38+36+49=123. Count=3. Mean=123/3=41.0. | mean |
5,710 | statistics | easy | What is the mean (average) of 95, 62, 57? | 71.33 | Mean = sum/count. Sum = 95+62+57=214. Count=3. Mean=214/3=71.33. | mean |
5,711 | calculus | medium | What is the derivative of 10x^3 with respect to x? | 30x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^3] = 10*3*x^2 = 30x^2. | derivative |
5,712 | calculus | medium | What is the derivative of 2x^6 with respect to x? | 12x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^6] = 2*6*x^5 = 12x^5. | derivative |
5,713 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
5,714 | calculus | medium | What is the derivative of 10x^3 with respect to x? | 30x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^3] = 10*3*x^2 = 30x^2. | derivative |
5,715 | geometry | easy | Find the circumference of a circle with radius 41. Use pi=3.14159, round to 2 decimals. | 257.61 | Circumference = 2*pi*r = 2*3.14159*41 = 257.61. | circle_circum |
5,716 | 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 |
5,717 | 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 |
5,718 | arithmetic | easy | What is 707 + 38? | 745 | Add the two numbers: 707 + 38 = 745. | basic_operations |
5,719 | 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 |
5,720 | percentages | easy | What is 74% of 18? | 13.32 | Calculate 74/100 * 18 = 0.74*18 = 13.32. | percentages |
5,721 | percentages | easy | What is 88% of 726? | 638.88 | Calculate 88/100 * 726 = 0.88*726 = 638.88. | percentages |
5,722 | 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 |
5,723 | arithmetic | easy | What is 4118 divided by 92? Give answer to 2 decimal places. | 44.76 | Calculate 4118/ 92 = 44.7609, rounded to 2 decimals is 44.76. | division |
5,724 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
5,725 | exponents | easy | What is 8^4? | 4096 | 8^4 means multiply 8 by itself 4 times: 8*8*8*8 = 4096. | exponents |
5,726 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
5,727 | number_theory | medium | What is the LCM (least common multiple) of 57 and 22? | 1254 | LCM = |57*22| / GCD(57,22). GCD=1, so LCM=1254/1=1254. | lcm |
5,728 | statistics | easy | What is the mean (average) of 82, 91, 74, 45? | 73 | Mean = sum/count. Sum = 82+91+74+45=292. Count=4. Mean=292/4=73.0. | mean |
5,729 | algebra | easy | Solve for x: 17x + 44 = -177 | -13 | Subtract 44 from both sides: 17x = -177-44=-221. Then divide by 17: x = -221/17 = -13. | linear_equation |
5,730 | arithmetic | easy | What is 184 - 147? | 37 | Subtract: 184 - 147 = 37. | basic_operations |
5,731 | word_problems | easy | If you have 98 pencils and you buy 35 more pencils, how many pencils do you have in total? | 133 | Add initial 98 plus bought 35: 98+35=133. | addition_word |
5,732 | arithmetic | easy | What is 70 * 25? | 1750 | Multiply: 70 * 25 = 1750. | basic_operations |
5,733 | word_problems | easy | If you have 15 apples and you buy 30 more apples, how many apples do you have in total? | 45 | Add initial 15 plus bought 30: 15+30=45. | addition_word |
5,734 | 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 |
5,735 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
5,736 | arithmetic | easy | What is 14666 divided by 36? Give answer to 2 decimal places. | 407.39 | Calculate 14666/ 36 = 407.3889, rounded to 2 decimals is 407.39. | division |
5,737 | statistics | easy | What is the mean (average) of 67, 51, 67? | 61.67 | Mean = sum/count. Sum = 67+51+67=185. Count=3. Mean=185/3=61.67. | mean |
5,738 | arithmetic | easy | What is 1128 / 12? | 94 | Divide: 1128 ÷ 12 = 94 because 12*94=1128. | division |
5,739 | fractions | medium | What is 17/18 * 11/15? Give as simplified fraction. | 187/270 | Multiply numerators: 17*11=187. Denominators: 18*15=270. Simplify by gcd 1 to get 187/270. | fraction_operations |
5,740 | arithmetic | easy | What is 3556 divided by 12? Give answer to 2 decimal places. | 296.33 | Calculate 3556/ 12 = 296.3333, rounded to 2 decimals is 296.33. | division |
5,741 | arithmetic | easy | What is 2 * 3? | 6 | Multiply: 2 * 3 = 6. | basic_operations |
5,742 | algebra | medium | Solve for x: x^2 + 3x - 28 = 0 | x = -7, 4 | Factor: (x - -7)(x - 4) = x^2 -(-3)x + -28 = 0. So x = -7 or 4. Check sum = -3, product = -28. | quadratic |
5,743 | word_problems | easy | If you have 78 dollars and you buy 4 more dollars, how many dollars do you have in total? | 82 | Add initial 78 plus bought 4: 78+4=82. | addition_word |
5,744 | 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 |
5,745 | 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 |
5,746 | fractions | medium | What is 8/13 * 3/12? Give as simplified fraction. | 2/13 | Multiply numerators: 8*3=24. Denominators: 13*12=156. Simplify by gcd 12 to get 2/13. | fraction_operations |
5,747 | arithmetic | easy | What is 2 * 99? | 198 | Multiply: 2 * 99 = 198. | basic_operations |
5,748 | 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 |
5,749 | algebra | easy | Solve for x: 13x - 48 = -217 | -13 | Add 48 to both sides: 13x = -217+48=-169. Then x = -169/13 = -13. | linear_equation |
5,750 | arithmetic | easy | What is 9300 / 75? | 124 | Divide: 9300 ÷ 75 = 124 because 75*124=9300. | division |
5,751 | percentages | easy | What is 69% of 129? | 89.01 | Calculate 69/100 * 129 = 0.69*129 = 89.01. | percentages |
5,752 | statistics | easy | What is the mean (average) of 18, 83, 41, 45? | 46.75 | Mean = sum/count. Sum = 18+83+41+45=187. Count=4. Mean=187/4=46.75. | mean |
5,753 | arithmetic | easy | What is 12243 / 33? | 371 | Divide: 12243 ÷ 33 = 371 because 33*371=12243. | division |
5,754 | arithmetic | easy | What is 13 * 65? | 845 | Multiply: 13 * 65 = 845. | basic_operations |
5,755 | arithmetic | easy | What is 291 + 336 * 8? Remember order of operations. | 2979 | Order of operations (PEMDAS): first 336*8=2688, then 291+2688=2979. | basic_operations |
5,756 | word_problems | easy | If you have 31 apples and you buy 26 more apples, how many apples do you have in total? | 57 | Add initial 31 plus bought 26: 31+26=57. | addition_word |
5,757 | 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 |
5,758 | statistics | easy | What is the mean (average) of 49, 97, 52? | 66 | Mean = sum/count. Sum = 49+97+52=198. Count=3. Mean=198/3=66.0. | mean |
5,759 | algebra | easy | Solve for x: 15x - 40 = -145 | -7 | Add 40 to both sides: 15x = -145+40=-105. Then x = -105/15 = -7. | linear_equation |
5,760 | number_theory | medium | What is the LCM (least common multiple) of 66 and 93? | 2046 | LCM = |66*93| / GCD(66,93). GCD=3, so LCM=6138/3=2046. | lcm |
5,761 | percentages | easy | What is 27% of 362? | 97.74 | Calculate 27/100 * 362 = 0.27*362 = 97.74. | percentages |
5,762 | percentages | easy | What is 80% of 62? | 49.6 | Calculate 80/100 * 62 = 0.8*62 = 49.6. | percentages |
5,763 | arithmetic | easy | What is 642 - 342? | 300 | Subtract: 642 - 342 = 300. | basic_operations |
5,764 | 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 |
5,765 | number_theory | medium | What is the LCM (least common multiple) of 82 and 38? | 1558 | LCM = |82*38| / GCD(82,38). GCD=2, so LCM=3116/2=1558. | lcm |
5,766 | percentages | easy | What is 12% of 667? | 80.04 | Calculate 12/100 * 667 = 0.12*667 = 80.04. | percentages |
5,767 | roots | easy | What is the square root of 625? | 25 | Find number that when squared gives 625. 25*25=625, so sqrt(625)=25. | square_roots |
5,768 | calculus | medium | What is the derivative of 10x^3 with respect to x? | 30x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^3] = 10*3*x^2 = 30x^2. | derivative |
5,769 | statistics | easy | What is the mean (average) of 24, 46, 45, 15, 13? | 28.6 | Mean = sum/count. Sum = 24+46+45+15+13=143. Count=5. Mean=143/5=28.6. | mean |
5,770 | calculus | medium | What is the derivative of 4x^4 with respect to x? | 16x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^4] = 4*4*x^3 = 16x^3. | derivative |
5,771 | calculus | medium | What is the derivative of 10x^7 with respect to x? | 70x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^7] = 10*7*x^6 = 70x^6. | derivative |
5,772 | arithmetic | easy | What is 676 + 138? | 814 | Add the two numbers: 676 + 138 = 814. | basic_operations |
5,773 | algebra | medium | Solve for x: x^2 + 6x - 40 = 0 | x = 4, -10 | Factor: (x - 4)(x - -10) = x^2 -(-6)x + -40 = 0. So x = 4 or -10. Check sum = -6, product = -40. | quadratic |
5,774 | algebra | medium | Solve for x: x^2 - 16x + 63 = 0 | x = 7, 9 | Factor: (x - 7)(x - 9) = x^2 -(16)x + 63 = 0. So x = 7 or 9. Check sum = 16, product = 63. | quadratic |
5,775 | 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 |
5,776 | calculus | medium | What is the derivative of 1x^5 with respect to x? | 5x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^5] = 1*5*x^4 = 5x^4. | derivative |
5,777 | roots | easy | What is the square root of 256? | 16 | Find number that when squared gives 256. 16*16=256, so sqrt(256)=16. | square_roots |
5,778 | exponents | easy | What is 4^2? | 16 | 4^2 means multiply 4 by itself 2 times: 4*4 = 16. | exponents |
5,779 | 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 |
5,780 | geometry | easy | Find the area of a rectangle with length 91 and width 88. | 8008 | Area = length * width = 91*88 = 8008. | rectangle_area |
5,781 | 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 |
5,782 | arithmetic | easy | What is 60 * 42? | 2520 | Multiply: 60 * 42 = 2520. | basic_operations |
5,783 | fractions | medium | What is 11/19 - 10/15? Give as simplified fraction. | -5/57 | Common denominator 285. Numerator 165-190=-25. So -25/285 simplifies to -5/57. | fraction_operations |
5,784 | arithmetic | easy | What is 999 + 383 * 16? Remember order of operations. | 7127 | Order of operations (PEMDAS): first 383*16=6128, then 999+6128=7127. | basic_operations |
5,785 | arithmetic | easy | What is 139 + 503 * 28? Remember order of operations. | 14223 | Order of operations (PEMDAS): first 503*28=14084, then 139+14084=14223. | basic_operations |
5,786 | statistics | easy | What is the mean (average) of 27, 55, 18, 66? | 41.5 | Mean = sum/count. Sum = 27+55+18+66=166. Count=4. Mean=166/4=41.5. | mean |
5,787 | arithmetic | easy | What is 11375 / 35? | 325 | Divide: 11375 ÷ 35 = 325 because 35*325=11375. | division |
5,788 | word_problems | easy | If you have 19 pencils and you buy 34 more pencils, how many pencils do you have in total? | 53 | Add initial 19 plus bought 34: 19+34=53. | addition_word |
5,789 | percentages | easy | What is 76% of 325? | 247 | Calculate 76/100 * 325 = 0.76*325 = 247. | percentages |
5,790 | fractions | medium | What is 1/20 + 14/20? Give as simplified fraction. | 3/4 | Common denominator 20*20=400. 1/20=20/400, 14/20=280/400. Sum = 300/400 = 3/4 simplified. | fraction_operations |
5,791 | 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 |
5,792 | 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 |
5,793 | arithmetic | easy | What is 69 * 98? | 6762 | Multiply: 69 * 98 = 6762. | basic_operations |
5,794 | word_problems | easy | If you have 39 dollars and you buy 21 more dollars, how many dollars do you have in total? | 60 | Add initial 39 plus bought 21: 39+21=60. | addition_word |
5,795 | arithmetic | easy | What is 11267 divided by 92? Give answer to 2 decimal places. | 122.47 | Calculate 11267/ 92 = 122.4674, rounded to 2 decimals is 122.47. | division |
5,796 | algebra | easy | Solve for x: 16x - 35 = 109 | 9 | Add 35 to both sides: 16x = 109+35=144. Then x = 144/16 = 9. | linear_equation |
5,797 | geometry | easy | Find the perimeter of a rectangle with length 3 and width 83. | 172 | Perimeter = 2*(length+width) = 2*(3+83) = 2*86 = 172. | rectangle_perim |
5,798 | 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 |
5,799 | arithmetic | easy | What is 5820 / 15? | 388 | Divide: 5820 ÷ 15 = 388 because 15*388=5820. | division |
5,800 | arithmetic | easy | What is 65 * 98? | 6370 | Multiply: 65 * 98 = 6370. | basic_operations |
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