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 |
|---|---|---|---|---|---|---|
8,201 | arithmetic | easy | What is 7141 divided by 49? Give answer to 2 decimal places. | 145.73 | Calculate 7141/ 49 = 145.7347, rounded to 2 decimals is 145.73. | division |
8,202 | algebra | easy | Solve for x: 1x - 37 = -48 | -11 | Add 37 to both sides: 1x = -48+37=-11. Then x = -11/1 = -11. | linear_equation |
8,203 | geometry | easy | Find the area of a rectangle with length 18 and width 48. | 864 | Area = length * width = 18*48 = 864. | rectangle_area |
8,204 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
8,205 | arithmetic | easy | What is 674 - 60? | 614 | Subtract: 674 - 60 = 614. | basic_operations |
8,206 | arithmetic | easy | What is 520 + 763? | 1283 | Add the two numbers: 520 + 763 = 1283. | basic_operations |
8,207 | fractions | medium | What is 19/17 + 13/16? Give as simplified fraction. | 525/272 | Common denominator 17*16=272. 19/17=304/272, 13/16=221/272. Sum = 525/272 = 525/272 simplified. | fraction_operations |
8,208 | statistics | easy | What is the mean (average) of 40, 49, 13? | 34 | Mean = sum/count. Sum = 40+49+13=102. Count=3. Mean=102/3=34.0. | mean |
8,209 | calculus | medium | What is the derivative of 1x^3 with respect to x? | 3x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^3] = 1*3*x^2 = 3x^2. | derivative |
8,210 | fractions | medium | What is 10/9 * 17/9? Give as simplified fraction. | 170/81 | Multiply numerators: 10*17=170. Denominators: 9*9=81. Simplify by gcd 1 to get 170/81. | fraction_operations |
8,211 | arithmetic | easy | What is 29 + 31 * 75? Remember order of operations. | 2354 | Order of operations (PEMDAS): first 31*75=2325, then 29+2325=2354. | basic_operations |
8,212 | 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 |
8,213 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
8,214 | arithmetic | easy | What is 709 + 504 * 92? Remember order of operations. | 47077 | Order of operations (PEMDAS): first 504*92=46368, then 709+46368=47077. | basic_operations |
8,215 | 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 |
8,216 | geometry | easy | Find the circumference of a circle with radius 49. Use pi=3.14159, round to 2 decimals. | 307.88 | Circumference = 2*pi*r = 2*3.14159*49 = 307.88. | circle_circum |
8,217 | calculus | medium | What is the derivative of 9x^3 with respect to x? | 27x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^3] = 9*3*x^2 = 27x^2. | derivative |
8,218 | statistics | easy | What is the mean (average) of 25, 46, 13, 67, 78? | 45.8 | Mean = sum/count. Sum = 25+46+13+67+78=229. Count=5. Mean=229/5=45.8. | mean |
8,219 | 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 |
8,220 | 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 |
8,221 | word_problems | easy | If you have 46 candies and you buy 41 more candies, how many candies do you have in total? | 87 | Add initial 46 plus bought 41: 46+41=87. | addition_word |
8,222 | arithmetic | easy | What is 5 + 170 * 17? Remember order of operations. | 2895 | Order of operations (PEMDAS): first 170*17=2890, then 5+2890=2895. | basic_operations |
8,223 | percentages | easy | What is 37% of 40? | 14.8 | Calculate 37/100 * 40 = 0.37*40 = 14.8. | percentages |
8,224 | number_theory | medium | What is the LCM (least common multiple) of 49 and 96? | 4704 | LCM = |49*96| / GCD(49,96). GCD=1, so LCM=4704/1=4704. | lcm |
8,225 | word_problems | easy | If you have 18 dollars and you buy 12 more dollars, how many dollars do you have in total? | 30 | Add initial 18 plus bought 12: 18+12=30. | addition_word |
8,226 | arithmetic | easy | What is 95 * 6? | 570 | Multiply: 95 * 6 = 570. | basic_operations |
8,227 | arithmetic | easy | What is 29648 / 68? | 436 | Divide: 29648 ÷ 68 = 436 because 68*436=29648. | division |
8,228 | roots | easy | What is the square root of 25? | 5 | Find number that when squared gives 25. 5*5=25, so sqrt(25)=5. | square_roots |
8,229 | 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 |
8,230 | 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 |
8,231 | arithmetic | easy | What is 2800 / 25? | 112 | Divide: 2800 ÷ 25 = 112 because 25*112=2800. | division |
8,232 | statistics | easy | What is the mean (average) of 71, 38, 99, 36, 63? | 61.4 | Mean = sum/count. Sum = 71+38+99+36+63=307. Count=5. Mean=307/5=61.4. | mean |
8,233 | arithmetic | easy | What is 598 + 571? | 1169 | Add the two numbers: 598 + 571 = 1169. | basic_operations |
8,234 | 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 |
8,235 | statistics | easy | What is the mean (average) of 79, 42, 71, 37? | 57.25 | Mean = sum/count. Sum = 79+42+71+37=229. Count=4. Mean=229/4=57.25. | mean |
8,236 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
8,237 | arithmetic | easy | What is 72 + 20 * 34? Remember order of operations. | 752 | Order of operations (PEMDAS): first 20*34=680, then 72+680=752. | basic_operations |
8,238 | calculus | medium | What is the derivative of 2x^3 with respect to x? | 6x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^3] = 2*3*x^2 = 6x^2. | derivative |
8,239 | percentages | easy | What is 60% of 241? | 144.6 | Calculate 60/100 * 241 = 0.6*241 = 144.6. | percentages |
8,240 | word_problems | easy | If you have 14 dollars and you buy 20 more dollars, how many dollars do you have in total? | 34 | Add initial 14 plus bought 20: 14+20=34. | addition_word |
8,241 | arithmetic | easy | What is 232 + 966? | 1198 | Add the two numbers: 232 + 966 = 1198. | basic_operations |
8,242 | arithmetic | easy | What is 49 * 81? | 3969 | Multiply: 49 * 81 = 3969. | basic_operations |
8,243 | arithmetic | easy | What is 14140 / 35? | 404 | Divide: 14140 ÷ 35 = 404 because 35*404=14140. | division |
8,244 | 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 |
8,245 | calculus | medium | What is the derivative of 1x^2 with respect to x? | 2x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^2] = 1*2*x^1 = 2x. | derivative |
8,246 | geometry | easy | Find the circumference of a circle with radius 6. Use pi=3.14159, round to 2 decimals. | 37.7 | Circumference = 2*pi*r = 2*3.14159*6 = 37.7. | circle_circum |
8,247 | arithmetic | easy | What is 6270 / 15? | 418 | Divide: 6270 ÷ 15 = 418 because 15*418=6270. | division |
8,248 | 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 |
8,249 | algebra | easy | Solve for x: 10x + 42 = 152 | 11 | Subtract 42 from both sides: 10x = 152-42=110. Then divide by 10: x = 110/10 = 11. | linear_equation |
8,250 | 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 |
8,251 | fractions | medium | What is 10/4 - 2/9? Give as simplified fraction. | 41/18 | Common denominator 36. Numerator 90-8=82. So 82/36 simplifies to 41/18. | fraction_operations |
8,252 | arithmetic | easy | What is 288 + 96? | 384 | Add the two numbers: 288 + 96 = 384. | basic_operations |
8,253 | arithmetic | easy | What is 23725 / 73? | 325 | Divide: 23725 ÷ 73 = 325 because 73*325=23725. | division |
8,254 | arithmetic | easy | What is 91 + 30 * 11? Remember order of operations. | 421 | Order of operations (PEMDAS): first 30*11=330, then 91+330=421. | basic_operations |
8,255 | arithmetic | easy | What is 25984 / 58? | 448 | Divide: 25984 ÷ 58 = 448 because 58*448=25984. | division |
8,256 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
8,257 | arithmetic | easy | What is 515 + 370? | 885 | Add the two numbers: 515 + 370 = 885. | basic_operations |
8,258 | geometry | easy | Find the area of a rectangle with length 50 and width 59. | 2950 | Area = length * width = 50*59 = 2950. | rectangle_area |
8,259 | arithmetic | easy | What is 13254 divided by 39? Give answer to 2 decimal places. | 339.85 | Calculate 13254/ 39 = 339.8462, rounded to 2 decimals is 339.85. | division |
8,260 | fractions | medium | What is 3/2 - 7/5? Give as simplified fraction. | 1/10 | Common denominator 10. Numerator 15-14=1. So 1/10 simplifies to 1/10. | fraction_operations |
8,261 | number_theory | medium | What is the LCM (least common multiple) of 98 and 50? | 2450 | LCM = |98*50| / GCD(98,50). GCD=2, so LCM=4900/2=2450. | lcm |
8,262 | 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 |
8,263 | algebra | easy | Solve for x: 5x + 8 = 8 | 0 | Subtract 8 from both sides: 5x = 8-8=0. Then divide by 5: x = 0/5 = 0. | linear_equation |
8,264 | statistics | easy | What is the mean (average) of 35, 7, 59, 93, 35? | 45.8 | Mean = sum/count. Sum = 35+7+59+93+35=229. Count=5. Mean=229/5=45.8. | mean |
8,265 | arithmetic | easy | What is 228 + 220 * 58? Remember order of operations. | 12988 | Order of operations (PEMDAS): first 220*58=12760, then 228+12760=12988. | basic_operations |
8,266 | word_problems | easy | If you have 5 books and you buy 39 more books, how many books do you have in total? | 44 | Add initial 5 plus bought 39: 5+39=44. | addition_word |
8,267 | percentages | easy | What is 78% of 110? | 85.8 | Calculate 78/100 * 110 = 0.78*110 = 85.8. | percentages |
8,268 | percentages | easy | What is 51% of 766? | 390.66 | Calculate 51/100 * 766 = 0.51*766 = 390.66. | percentages |
8,269 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
8,270 | calculus | medium | What is the derivative of 2x^4 with respect to x? | 8x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^4] = 2*4*x^3 = 8x^3. | derivative |
8,271 | arithmetic | easy | What is 854 + 395 * 3? Remember order of operations. | 2039 | Order of operations (PEMDAS): first 395*3=1185, then 854+1185=2039. | basic_operations |
8,272 | word_problems | easy | If you have 49 apples and you buy 15 more apples, how many apples do you have in total? | 64 | Add initial 49 plus bought 15: 49+15=64. | addition_word |
8,273 | arithmetic | easy | What is 357 + 501 * 51? Remember order of operations. | 25908 | Order of operations (PEMDAS): first 501*51=25551, then 357+25551=25908. | basic_operations |
8,274 | arithmetic | easy | What is 52 * 83? | 4316 | Multiply: 52 * 83 = 4316. | basic_operations |
8,275 | 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 |
8,276 | arithmetic | easy | What is 3803 divided by 23? Give answer to 2 decimal places. | 165.35 | Calculate 3803/ 23 = 165.3478, rounded to 2 decimals is 165.35. | division |
8,277 | arithmetic | easy | What is 398 + 954 * 37? Remember order of operations. | 35696 | Order of operations (PEMDAS): first 954*37=35298, then 398+35298=35696. | basic_operations |
8,278 | word_problems | easy | If you have 42 candies and you buy 34 more candies, how many candies do you have in total? | 76 | Add initial 42 plus bought 34: 42+34=76. | addition_word |
8,279 | word_problems | easy | If you have 81 pencils and you buy 20 more pencils, how many pencils do you have in total? | 101 | Add initial 81 plus bought 20: 81+20=101. | addition_word |
8,280 | calculus | medium | What is the derivative of 10x^8 with respect to x? | 80x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^8] = 10*8*x^7 = 80x^7. | derivative |
8,281 | geometry | easy | Find the area of a triangle with base 33 and height 67. | 1105.5 | Area = 0.5*base*height = 0.5*33*67 = 1105.5. | triangle_area |
8,282 | arithmetic | easy | What is 479 + 13? | 492 | Add the two numbers: 479 + 13 = 492. | basic_operations |
8,283 | arithmetic | easy | What is 144 divided by 5? Give answer to 2 decimal places. | 28.8 | Calculate 144/ 5 = 28.8000, rounded to 2 decimals is 28.8. | division |
8,284 | arithmetic | easy | What is 772 - 74? | 698 | Subtract: 772 - 74 = 698. | basic_operations |
8,285 | percentages | easy | What is 84% of 493? | 414.12 | Calculate 84/100 * 493 = 0.84*493 = 414.12. | percentages |
8,286 | roots | easy | What is the square root of 1369? | 37 | Find number that when squared gives 1369. 37*37=1369, so sqrt(1369)=37. | square_roots |
8,287 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
8,288 | fractions | medium | What is 2/16 + 17/5? Give as simplified fraction. | 141/40 | Common denominator 16*5=80. 2/16=10/80, 17/5=272/80. Sum = 282/80 = 141/40 simplified. | fraction_operations |
8,289 | arithmetic | easy | What is 98 * 55? | 5390 | Multiply: 98 * 55 = 5390. | basic_operations |
8,290 | arithmetic | easy | What is 285 + 631? | 916 | Add the two numbers: 285 + 631 = 916. | basic_operations |
8,291 | geometry | easy | Find the area of a circle with radius 19. Use pi=3.14159, round to 2 decimals. | 1134.11 | Area = pi*r^2 = 3.14159*19^2 = 3.14159*361 = 1134.11. | circle_area |
8,292 | arithmetic | easy | What is 996 - 968? | 28 | Subtract: 996 - 968 = 28. | basic_operations |
8,293 | 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 |
8,294 | geometry | easy | Find the perimeter of a rectangle with length 30 and width 30. | 120 | Perimeter = 2*(length+width) = 2*(30+30) = 2*60 = 120. | rectangle_perim |
8,295 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
8,296 | 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 |
8,297 | algebra | medium | Solve for x: x^2 - 5x - 24 = 0 | x = -3, 8 | Factor: (x - -3)(x - 8) = x^2 -(5)x + -24 = 0. So x = -3 or 8. Check sum = 5, product = -24. | quadratic |
8,298 | arithmetic | easy | What is 25074 / 63? | 398 | Divide: 25074 ÷ 63 = 398 because 63*398=25074. | division |
8,299 | fractions | medium | What is 8/13 + 8/2? Give as simplified fraction. | 60/13 | Common denominator 13*2=26. 8/13=16/26, 8/2=104/26. Sum = 120/26 = 60/13 simplified. | fraction_operations |
8,300 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
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