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 |
|---|---|---|---|---|---|---|
731,201 | 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 |
731,202 | calculus | medium | What is the derivative of 8x^6 with respect to x? | 48x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^6] = 8*6*x^5 = 48x^5. | derivative |
731,203 | percentages | easy | What is 25% of 12? | 3 | Calculate 25/100 * 12 = 0.25*12 = 3. | percentages |
731,204 | number_theory | medium | What is the LCM (least common multiple) of 81 and 12? | 324 | LCM = |81*12| / GCD(81,12). GCD=3, so LCM=972/3=324. | lcm |
731,205 | algebra | medium | Solve for x: x^2 - 13x + 42 = 0 | x = 6, 7 | Factor: (x - 6)(x - 7) = x^2 -(13)x + 42 = 0. So x = 6 or 7. Check sum = 13, product = 42. | quadratic |
731,206 | algebra | medium | Solve for x: x^2 + 7x - 18 = 0 | x = -9, 2 | Factor: (x - -9)(x - 2) = x^2 -(-7)x + -18 = 0. So x = -9 or 2. Check sum = -7, product = -18. | quadratic |
731,207 | 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 |
731,208 | roots | easy | What is the square root of 1444? | 38 | Find number that when squared gives 1444. 38*38=1444, so sqrt(1444)=38. | square_roots |
731,209 | percentages | easy | What is 66% of 779? | 514.14 | Calculate 66/100 * 779 = 0.66*779 = 514.14. | percentages |
731,210 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
731,211 | exponents | easy | What is 4^2? | 16 | 4^2 means multiply 4 by itself 2 times: 4*4 = 16. | exponents |
731,212 | statistics | easy | What is the mean (average) of 31, 68, 87, 7? | 48.25 | Mean = sum/count. Sum = 31+68+87+7=193. Count=4. Mean=193/4=48.25. | mean |
731,213 | arithmetic | easy | What is 13689 / 81? | 169 | Divide: 13689 ÷ 81 = 169 because 81*169=13689. | division |
731,214 | arithmetic | easy | What is 49 * 84? | 4116 | Multiply: 49 * 84 = 4116. | basic_operations |
731,215 | arithmetic | easy | What is 443 + 283 * 75? Remember order of operations. | 21668 | Order of operations (PEMDAS): first 283*75=21225, then 443+21225=21668. | basic_operations |
731,216 | fractions | medium | What is 14/15 - 3/7? Give as simplified fraction. | 53/105 | Common denominator 105. Numerator 98-45=53. So 53/105 simplifies to 53/105. | fraction_operations |
731,217 | 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 |
731,218 | arithmetic | easy | What is 100 + 968? | 1068 | Add the two numbers: 100 + 968 = 1068. | basic_operations |
731,219 | algebra | medium | Solve for x: x^2 - 6x - 40 = 0 | x = 10, -4 | Factor: (x - 10)(x - -4) = x^2 -(6)x + -40 = 0. So x = 10 or -4. Check sum = 6, product = -40. | quadratic |
731,220 | calculus | medium | What is the derivative of 7x^7 with respect to x? | 49x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^7] = 7*7*x^6 = 49x^6. | derivative |
731,221 | number_theory | medium | What is the LCM (least common multiple) of 68 and 68? | 68 | LCM = |68*68| / GCD(68,68). GCD=68, so LCM=4624/68=68. | lcm |
731,222 | geometry | easy | Find the area of a rectangle with length 48 and width 27. | 1296 | Area = length * width = 48*27 = 1296. | rectangle_area |
731,223 | geometry | easy | Find the area of a circle with radius 20. Use pi=3.14159, round to 2 decimals. | 1256.64 | Area = pi*r^2 = 3.14159*20^2 = 3.14159*400 = 1256.64. | circle_area |
731,224 | arithmetic | easy | What is 857 + 208 * 79? Remember order of operations. | 17289 | Order of operations (PEMDAS): first 208*79=16432, then 857+16432=17289. | basic_operations |
731,225 | arithmetic | easy | What is 22 * 14? | 308 | Multiply: 22 * 14 = 308. | basic_operations |
731,226 | arithmetic | easy | What is 304 + 811? | 1115 | Add the two numbers: 304 + 811 = 1115. | basic_operations |
731,227 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
731,228 | statistics | easy | What is the mean (average) of 39, 25, 36, 34? | 33.5 | Mean = sum/count. Sum = 39+25+36+34=134. Count=4. Mean=134/4=33.5. | mean |
731,229 | 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 |
731,230 | arithmetic | easy | What is 1786 / 19? | 94 | Divide: 1786 ÷ 19 = 94 because 19*94=1786. | division |
731,231 | word_problems | easy | If you have 12 candies and you buy 5 more candies, how many candies do you have in total? | 17 | Add initial 12 plus bought 5: 12+5=17. | addition_word |
731,232 | calculus | medium | What is the derivative of 1x^4 with respect to x? | 4x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^4] = 1*4*x^3 = 4x^3. | derivative |
731,233 | statistics | easy | What is the mean (average) of 43, 2, 71? | 38.67 | Mean = sum/count. Sum = 43+2+71=116. Count=3. Mean=116/3=38.67. | mean |
731,234 | roots | easy | What is the square root of 400? | 20 | Find number that when squared gives 400. 20*20=400, so sqrt(400)=20. | square_roots |
731,235 | calculus | medium | What is the derivative of 8x^7 with respect to x? | 56x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^7] = 8*7*x^6 = 56x^6. | derivative |
731,236 | algebra | easy | Solve for x: 11x + 5 = 115 | 10 | Subtract 5 from both sides: 11x = 115-5=110. Then divide by 11: x = 110/11 = 10. | linear_equation |
731,237 | percentages | easy | What is 56% of 276? | 154.56 | Calculate 56/100 * 276 = 0.56*276 = 154.56. | percentages |
731,238 | 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 |
731,239 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
731,240 | percentages | easy | What is 85% of 884? | 751.4 | Calculate 85/100 * 884 = 0.85*884 = 751.4. | percentages |
731,241 | algebra | medium | Solve for x: x^2 - 2x - 63 = 0 | x = -7, 9 | Factor: (x - -7)(x - 9) = x^2 -(2)x + -63 = 0. So x = -7 or 9. Check sum = 2, product = -63. | quadratic |
731,242 | 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 |
731,243 | roots | easy | What is the square root of 2209? | 47 | Find number that when squared gives 2209. 47*47=2209, so sqrt(2209)=47. | square_roots |
731,244 | algebra | medium | Solve for x: x^2 + 9x = 0 | x = 0, -9 | Factor: (x - 0)(x - -9) = x^2 -(-9)x + 0 = 0. So x = 0 or -9. Check sum = -9, product = 0. | quadratic |
731,245 | calculus | medium | What is the derivative of 1x^4 with respect to x? | 4x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^4] = 1*4*x^3 = 4x^3. | derivative |
731,246 | algebra | medium | Solve for x: x^2 + 7x + 12 = 0 | x = -3, -4 | Factor: (x - -3)(x - -4) = x^2 -(-7)x + 12 = 0. So x = -3 or -4. Check sum = -7, product = 12. | quadratic |
731,247 | word_problems | easy | If you have 67 dollars and you buy 30 more dollars, how many dollars do you have in total? | 97 | Add initial 67 plus bought 30: 67+30=97. | addition_word |
731,248 | arithmetic | easy | What is 52 * 38? | 1976 | Multiply: 52 * 38 = 1976. | basic_operations |
731,249 | calculus | medium | What is the derivative of 6x^6 with respect to x? | 36x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^6] = 6*6*x^5 = 36x^5. | derivative |
731,250 | arithmetic | easy | What is 7968 / 48? | 166 | Divide: 7968 ÷ 48 = 166 because 48*166=7968. | division |
731,251 | percentages | easy | What is 18% of 757? | 136.26 | Calculate 18/100 * 757 = 0.18*757 = 136.26. | percentages |
731,252 | algebra | medium | Solve for x: x^2 + 11x + 18 = 0 | x = -2, -9 | Factor: (x - -2)(x - -9) = x^2 -(-11)x + 18 = 0. So x = -2 or -9. Check sum = -11, product = 18. | quadratic |
731,253 | arithmetic | easy | What is 96 + 614 * 43? Remember order of operations. | 26498 | Order of operations (PEMDAS): first 614*43=26402, then 96+26402=26498. | basic_operations |
731,254 | calculus | medium | What is the derivative of 9x^6 with respect to x? | 54x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^6] = 9*6*x^5 = 54x^5. | derivative |
731,255 | algebra | easy | Solve for x: 17x - 5 = -192 | -11 | Add 5 to both sides: 17x = -192+5=-187. Then x = -187/17 = -11. | linear_equation |
731,256 | arithmetic | easy | What is 37 + 446? | 483 | Add the two numbers: 37 + 446 = 483. | basic_operations |
731,257 | algebra | easy | Solve for x: 19x - 5 = 337 | 18 | Add 5 to both sides: 19x = 337+5=342. Then x = 342/19 = 18. | linear_equation |
731,258 | arithmetic | easy | What is 497 + 738 * 100? Remember order of operations. | 74297 | Order of operations (PEMDAS): first 738*100=73800, then 497+73800=74297. | basic_operations |
731,259 | arithmetic | easy | What is 3341 / 13? | 257 | Divide: 3341 ÷ 13 = 257 because 13*257=3341. | division |
731,260 | fractions | medium | What is 1/14 - 16/17? Give as simplified fraction. | -207/238 | Common denominator 238. Numerator 17-224=-207. So -207/238 simplifies to -207/238. | fraction_operations |
731,261 | arithmetic | easy | What is 545 - 535? | 10 | Subtract: 545 - 535 = 10. | basic_operations |
731,262 | algebra | easy | Solve for x: 1x - 24 = -23 | 1 | Add 24 to both sides: 1x = -23+24=1. Then x = 1/1 = 1. | linear_equation |
731,263 | arithmetic | easy | What is 89 + 44 * 17? Remember order of operations. | 837 | Order of operations (PEMDAS): first 44*17=748, then 89+748=837. | basic_operations |
731,264 | 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 |
731,265 | algebra | easy | Solve for x: 6x - 50 = -146 | -16 | Add 50 to both sides: 6x = -146+50=-96. Then x = -96/6 = -16. | linear_equation |
731,266 | arithmetic | easy | What is 1360 / 34? | 40 | Divide: 1360 ÷ 34 = 40 because 34*40=1360. | division |
731,267 | 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 |
731,268 | arithmetic | easy | What is 64 + 33 * 64? Remember order of operations. | 2176 | Order of operations (PEMDAS): first 33*64=2112, then 64+2112=2176. | basic_operations |
731,269 | fractions | medium | What is 4/20 * 8/3? Give as simplified fraction. | 8/15 | Multiply numerators: 4*8=32. Denominators: 20*3=60. Simplify by gcd 4 to get 8/15. | fraction_operations |
731,270 | roots | easy | What is the square root of 36? | 6 | Find number that when squared gives 36. 6*6=36, so sqrt(36)=6. | square_roots |
731,271 | statistics | easy | What is the mean (average) of 13, 93, 45, 27? | 44.5 | Mean = sum/count. Sum = 13+93+45+27=178. Count=4. Mean=178/4=44.5. | mean |
731,272 | arithmetic | easy | What is 501 + 455 * 19? Remember order of operations. | 9146 | Order of operations (PEMDAS): first 455*19=8645, then 501+8645=9146. | basic_operations |
731,273 | roots | easy | What is the square root of 2304? | 48 | Find number that when squared gives 2304. 48*48=2304, so sqrt(2304)=48. | square_roots |
731,274 | arithmetic | easy | What is 852 - 297? | 555 | Subtract: 852 - 297 = 555. | basic_operations |
731,275 | algebra | easy | Solve for x: 3x - 25 = -52 | -9 | Add 25 to both sides: 3x = -52+25=-27. Then x = -27/3 = -9. | linear_equation |
731,276 | 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 |
731,277 | arithmetic | easy | What is 14682 divided by 63? Give answer to 2 decimal places. | 233.05 | Calculate 14682/ 63 = 233.0476, rounded to 2 decimals is 233.05. | division |
731,278 | percentages | easy | What is 5% of 796? | 39.8 | Calculate 5/100 * 796 = 0.05*796 = 39.8. | percentages |
731,279 | geometry | easy | Find the circumference of a circle with radius 27. Use pi=3.14159, round to 2 decimals. | 169.65 | Circumference = 2*pi*r = 2*3.14159*27 = 169.65. | circle_circum |
731,280 | statistics | easy | What is the mean (average) of 59, 13, 93, 90? | 63.75 | Mean = sum/count. Sum = 59+13+93+90=255. Count=4. Mean=255/4=63.75. | mean |
731,281 | 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 |
731,282 | arithmetic | easy | What is 373 + 214 * 32? Remember order of operations. | 7221 | Order of operations (PEMDAS): first 214*32=6848, then 373+6848=7221. | basic_operations |
731,283 | percentages | easy | What is 99% of 572? | 566.28 | Calculate 99/100 * 572 = 0.99*572 = 566.28. | percentages |
731,284 | roots | easy | What is the square root of 1849? | 43 | Find number that when squared gives 1849. 43*43=1849, so sqrt(1849)=43. | square_roots |
731,285 | word_problems | easy | If you have 39 candies and you buy 27 more candies, how many candies do you have in total? | 66 | Add initial 39 plus bought 27: 39+27=66. | addition_word |
731,286 | algebra | medium | Solve for x: x^2 - 2x - 15 = 0 | x = 5, -3 | Factor: (x - 5)(x - -3) = x^2 -(2)x + -15 = 0. So x = 5 or -3. Check sum = 2, product = -15. | quadratic |
731,287 | 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 |
731,288 | number_theory | medium | What is the LCM (least common multiple) of 10 and 13? | 130 | LCM = |10*13| / GCD(10,13). GCD=1, so LCM=130/1=130. | lcm |
731,289 | arithmetic | easy | What is 509 - 495? | 14 | Subtract: 509 - 495 = 14. | basic_operations |
731,290 | arithmetic | easy | What is 27594 divided by 76? Give answer to 2 decimal places. | 363.08 | Calculate 27594/ 76 = 363.0789, rounded to 2 decimals is 363.08. | division |
731,291 | 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 |
731,292 | arithmetic | easy | What is 3948 divided by 41? Give answer to 2 decimal places. | 96.29 | Calculate 3948/ 41 = 96.2927, rounded to 2 decimals is 96.29. | division |
731,293 | 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 |
731,294 | 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 |
731,295 | geometry | easy | Find the area of a rectangle with length 47 and width 60. | 2820 | Area = length * width = 47*60 = 2820. | rectangle_area |
731,296 | arithmetic | easy | What is 877 + 564 * 15? Remember order of operations. | 9337 | Order of operations (PEMDAS): first 564*15=8460, then 877+8460=9337. | basic_operations |
731,297 | arithmetic | easy | What is 10 + 55 * 38? Remember order of operations. | 2100 | Order of operations (PEMDAS): first 55*38=2090, then 10+2090=2100. | basic_operations |
731,298 | number_theory | medium | What is the GCD (greatest common divisor) of 2 and 35? | 1 | Find greatest number dividing both 2 and 35. Divisors common, greatest is 1. | gcd |
731,299 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
731,300 | calculus | medium | What is the derivative of 2x^8 with respect to x? | 16x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^8] = 2*8*x^7 = 16x^7. | derivative |
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