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 |
|---|---|---|---|---|---|---|
10,201 | geometry | easy | Find the area of a triangle with base 33 and height 82. | 1353 | Area = 0.5*base*height = 0.5*33*82 = 1353. | triangle_area |
10,202 | algebra | easy | Solve for x: 3x - 49 = -1 | 16 | Add 49 to both sides: 3x = -1+49=48. Then x = 48/3 = 16. | linear_equation |
10,203 | algebra | medium | Solve for x: x^2 + 11x + 30 = 0 | x = -5, -6 | Factor: (x - -5)(x - -6) = x^2 -(-11)x + 30 = 0. So x = -5 or -6. Check sum = -11, product = 30. | quadratic |
10,204 | 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 |
10,205 | geometry | easy | Find the area of a circle with radius 23. Use pi=3.14159, round to 2 decimals. | 1661.9 | Area = pi*r^2 = 3.14159*23^2 = 3.14159*529 = 1661.9. | circle_area |
10,206 | statistics | easy | What is the mean (average) of 82, 48, 93, 26, 59? | 61.6 | Mean = sum/count. Sum = 82+48+93+26+59=308. Count=5. Mean=308/5=61.6. | mean |
10,207 | algebra | easy | Solve for x: 8x + 12 = 52 | 5 | Subtract 12 from both sides: 8x = 52-12=40. Then divide by 8: x = 40/8 = 5. | linear_equation |
10,208 | 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 |
10,209 | geometry | easy | Find the area of a rectangle with length 37 and width 19. | 703 | Area = length * width = 37*19 = 703. | rectangle_area |
10,210 | 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 |
10,211 | fractions | medium | What is 2/7 + 20/17? Give as simplified fraction. | 174/119 | Common denominator 7*17=119. 2/7=34/119, 20/17=140/119. Sum = 174/119 = 174/119 simplified. | fraction_operations |
10,212 | arithmetic | easy | What is 226 + 810 * 63? Remember order of operations. | 51256 | Order of operations (PEMDAS): first 810*63=51030, then 226+51030=51256. | basic_operations |
10,213 | algebra | easy | Solve for x: 4x - 48 = 28 | 19 | Add 48 to both sides: 4x = 28+48=76. Then x = 76/4 = 19. | linear_equation |
10,214 | fractions | medium | What is 12/6 * 10/8? Give as simplified fraction. | 5/2 | Multiply numerators: 12*10=120. Denominators: 6*8=48. Simplify by gcd 24 to get 5/2. | fraction_operations |
10,215 | algebra | easy | Solve for x: 6x + 27 = 147 | 20 | Subtract 27 from both sides: 6x = 147-27=120. Then divide by 6: x = 120/6 = 20. | linear_equation |
10,216 | number_theory | medium | What is the LCM (least common multiple) of 5 and 12? | 60 | LCM = |5*12| / GCD(5,12). GCD=1, so LCM=60/1=60. | lcm |
10,217 | 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 |
10,218 | geometry | easy | Find the area of a rectangle with length 59 and width 56. | 3304 | Area = length * width = 59*56 = 3304. | rectangle_area |
10,219 | 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 |
10,220 | arithmetic | easy | What is 28 * 85? | 2380 | Multiply: 28 * 85 = 2380. | basic_operations |
10,221 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
10,222 | word_problems | easy | If you have 92 apples and you buy 40 more apples, how many apples do you have in total? | 132 | Add initial 92 plus bought 40: 92+40=132. | addition_word |
10,223 | arithmetic | easy | What is 974 + 449? | 1423 | Add the two numbers: 974 + 449 = 1423. | basic_operations |
10,224 | 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 |
10,225 | calculus | medium | What is the derivative of 5x^6 with respect to x? | 30x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^6] = 5*6*x^5 = 30x^5. | derivative |
10,226 | percentages | easy | What is 56% of 952? | 533.12 | Calculate 56/100 * 952 = 0.56*952 = 533.12. | percentages |
10,227 | arithmetic | easy | What is 40 * 27? | 1080 | Multiply: 40 * 27 = 1080. | basic_operations |
10,228 | algebra | medium | Solve for x: x^2 + 9x - 10 = 0 | x = 1, -10 | Factor: (x - 1)(x - -10) = x^2 -(-9)x + -10 = 0. So x = 1 or -10. Check sum = -9, product = -10. | quadratic |
10,229 | roots | easy | What is the square root of 484? | 22 | Find number that when squared gives 484. 22*22=484, so sqrt(484)=22. | square_roots |
10,230 | algebra | medium | Solve for x: x^2 - 10x = 0 | x = 0, 10 | Factor: (x - 0)(x - 10) = x^2 -(10)x + 0 = 0. So x = 0 or 10. Check sum = 10, product = 0. | quadratic |
10,231 | 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 |
10,232 | statistics | easy | What is the mean (average) of 49, 49, 73? | 57 | Mean = sum/count. Sum = 49+49+73=171. Count=3. Mean=171/3=57.0. | mean |
10,233 | algebra | easy | Solve for x: 7x + 49 = -28 | -11 | Subtract 49 from both sides: 7x = -28-49=-77. Then divide by 7: x = -77/7 = -11. | linear_equation |
10,234 | roots | easy | What is the square root of 841? | 29 | Find number that when squared gives 841. 29*29=841, so sqrt(841)=29. | square_roots |
10,235 | 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 |
10,236 | exponents | easy | What is 8^3? | 512 | 8^3 means multiply 8 by itself 3 times: 8*8*8 = 512. | exponents |
10,237 | statistics | easy | What is the mean (average) of 94, 88, 35? | 72.33 | Mean = sum/count. Sum = 94+88+35=217. Count=3. Mean=217/3=72.33. | mean |
10,238 | word_problems | easy | If you have 27 books and you buy 13 more books, how many books do you have in total? | 40 | Add initial 27 plus bought 13: 27+13=40. | addition_word |
10,239 | geometry | easy | Find the area of a circle with radius 28. Use pi=3.14159, round to 2 decimals. | 2463.01 | Area = pi*r^2 = 3.14159*28^2 = 3.14159*784 = 2463.01. | circle_area |
10,240 | 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 |
10,241 | arithmetic | easy | What is 1267 / 7? | 181 | Divide: 1267 ÷ 7 = 181 because 7*181=1267. | division |
10,242 | calculus | medium | What is the derivative of 9x^2 with respect to x? | 18x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^2] = 9*2*x^1 = 18x. | derivative |
10,243 | arithmetic | easy | What is 891 + 388 * 66? Remember order of operations. | 26499 | Order of operations (PEMDAS): first 388*66=25608, then 891+25608=26499. | basic_operations |
10,244 | 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 |
10,245 | statistics | easy | What is the mean (average) of 22, 35, 33, 78, 33? | 40.2 | Mean = sum/count. Sum = 22+35+33+78+33=201. Count=5. Mean=201/5=40.2. | mean |
10,246 | arithmetic | easy | What is 87 * 80? | 6960 | Multiply: 87 * 80 = 6960. | basic_operations |
10,247 | 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 |
10,248 | roots | easy | What is the square root of 729? | 27 | Find number that when squared gives 729. 27*27=729, so sqrt(729)=27. | square_roots |
10,249 | arithmetic | easy | What is 684 + 236 * 39? Remember order of operations. | 9888 | Order of operations (PEMDAS): first 236*39=9204, then 684+9204=9888. | basic_operations |
10,250 | percentages | easy | What is 90% of 672? | 604.8 | Calculate 90/100 * 672 = 0.9*672 = 604.8. | percentages |
10,251 | percentages | easy | What is 13% of 558? | 72.54 | Calculate 13/100 * 558 = 0.13*558 = 72.54. | percentages |
10,252 | percentages | easy | What is 70% of 29? | 20.3 | Calculate 70/100 * 29 = 0.7*29 = 20.3. | percentages |
10,253 | arithmetic | easy | What is 15444 / 52? | 297 | Divide: 15444 ÷ 52 = 297 because 52*297=15444. | division |
10,254 | 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 |
10,255 | arithmetic | easy | What is 824 + 139? | 963 | Add the two numbers: 824 + 139 = 963. | basic_operations |
10,256 | statistics | easy | What is the mean (average) of 32, 81, 79, 71, 1? | 52.8 | Mean = sum/count. Sum = 32+81+79+71+1=264. Count=5. Mean=264/5=52.8. | mean |
10,257 | arithmetic | easy | What is 795 + 690? | 1485 | Add the two numbers: 795 + 690 = 1485. | basic_operations |
10,258 | arithmetic | easy | What is 79 + 395? | 474 | Add the two numbers: 79 + 395 = 474. | basic_operations |
10,259 | number_theory | medium | What is the GCD (greatest common divisor) of 24 and 4? | 4 | Find greatest number dividing both 24 and 4. Divisors common, greatest is 4. | gcd |
10,260 | algebra | easy | Solve for x: 8x + 24 = -88 | -14 | Subtract 24 from both sides: 8x = -88-24=-112. Then divide by 8: x = -112/8 = -14. | linear_equation |
10,261 | number_theory | medium | What is the GCD (greatest common divisor) of 20 and 28? | 4 | Find greatest number dividing both 20 and 28. Divisors common, greatest is 4. | gcd |
10,262 | fractions | medium | What is 8/14 - 7/4? Give as simplified fraction. | -33/28 | Common denominator 56. Numerator 32-98=-66. So -66/56 simplifies to -33/28. | fraction_operations |
10,263 | arithmetic | easy | What is 608 + 567 * 23? Remember order of operations. | 13649 | Order of operations (PEMDAS): first 567*23=13041, then 608+13041=13649. | basic_operations |
10,264 | arithmetic | easy | What is 77 * 55? | 4235 | Multiply: 77 * 55 = 4235. | basic_operations |
10,265 | arithmetic | easy | What is 45 + 78 * 24? Remember order of operations. | 1917 | Order of operations (PEMDAS): first 78*24=1872, then 45+1872=1917. | basic_operations |
10,266 | percentages | easy | What is 13% of 680? | 88.4 | Calculate 13/100 * 680 = 0.13*680 = 88.4. | percentages |
10,267 | word_problems | easy | If you have 67 dollars and you buy 41 more dollars, how many dollars do you have in total? | 108 | Add initial 67 plus bought 41: 67+41=108. | addition_word |
10,268 | calculus | medium | What is the derivative of 1x^6 with respect to x? | 6x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^6] = 1*6*x^5 = 6x^5. | derivative |
10,269 | arithmetic | easy | What is 716 + 6? | 722 | Add the two numbers: 716 + 6 = 722. | basic_operations |
10,270 | arithmetic | easy | What is 975 - 475? | 500 | Subtract: 975 - 475 = 500. | basic_operations |
10,271 | fractions | medium | What is 6/11 + 10/18? Give as simplified fraction. | 109/99 | Common denominator 11*18=198. 6/11=108/198, 10/18=110/198. Sum = 218/198 = 109/99 simplified. | fraction_operations |
10,272 | geometry | easy | Find the perimeter of a rectangle with length 66 and width 100. | 332 | Perimeter = 2*(length+width) = 2*(66+100) = 2*166 = 332. | rectangle_perim |
10,273 | statistics | easy | What is the mean (average) of 48, 10, 41? | 33 | Mean = sum/count. Sum = 48+10+41=99. Count=3. Mean=99/3=33.0. | mean |
10,274 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
10,275 | 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 |
10,276 | arithmetic | easy | What is 3824 / 16? | 239 | Divide: 3824 ÷ 16 = 239 because 16*239=3824. | division |
10,277 | word_problems | easy | If you have 6 candies and you buy 9 more candies, how many candies do you have in total? | 15 | Add initial 6 plus bought 9: 6+9=15. | addition_word |
10,278 | algebra | easy | Solve for x: 18x - 27 = -351 | -18 | Add 27 to both sides: 18x = -351+27=-324. Then x = -324/18 = -18. | linear_equation |
10,279 | geometry | easy | Find the area of a rectangle with length 6 and width 80. | 480 | Area = length * width = 6*80 = 480. | rectangle_area |
10,280 | percentages | easy | What is 85% of 751? | 638.35 | Calculate 85/100 * 751 = 0.85*751 = 638.35. | percentages |
10,281 | arithmetic | easy | What is 26 * 37? | 962 | Multiply: 26 * 37 = 962. | basic_operations |
10,282 | arithmetic | easy | What is 10296 / 24? | 429 | Divide: 10296 ÷ 24 = 429 because 24*429=10296. | division |
10,283 | arithmetic | easy | What is 17100 / 50? | 342 | Divide: 17100 ÷ 50 = 342 because 50*342=17100. | division |
10,284 | arithmetic | easy | What is 28 + 23 * 77? Remember order of operations. | 1799 | Order of operations (PEMDAS): first 23*77=1771, then 28+1771=1799. | basic_operations |
10,285 | arithmetic | easy | What is 95 * 97? | 9215 | Multiply: 95 * 97 = 9215. | basic_operations |
10,286 | word_problems | easy | If you have 54 dollars and you buy 11 more dollars, how many dollars do you have in total? | 65 | Add initial 54 plus bought 11: 54+11=65. | addition_word |
10,287 | algebra | easy | Solve for x: 2x - 30 = -60 | -15 | Add 30 to both sides: 2x = -60+30=-30. Then x = -30/2 = -15. | linear_equation |
10,288 | percentages | easy | What is 15% of 102? | 15.3 | Calculate 15/100 * 102 = 0.15*102 = 15.3. | percentages |
10,289 | 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 |
10,290 | number_theory | medium | What is the GCD (greatest common divisor) of 93 and 38? | 1 | Find greatest number dividing both 93 and 38. Divisors common, greatest is 1. | gcd |
10,291 | fractions | medium | What is 6/14 + 16/2? Give as simplified fraction. | 59/7 | Common denominator 14*2=28. 6/14=12/28, 16/2=224/28. Sum = 236/28 = 59/7 simplified. | fraction_operations |
10,292 | arithmetic | easy | What is 411 + 457 * 65? Remember order of operations. | 30116 | Order of operations (PEMDAS): first 457*65=29705, then 411+29705=30116. | basic_operations |
10,293 | 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 |
10,294 | 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 |
10,295 | algebra | easy | Solve for x: 20x - 50 = -230 | -9 | Add 50 to both sides: 20x = -230+50=-180. Then x = -180/20 = -9. | linear_equation |
10,296 | roots | easy | What is the square root of 49? | 7 | Find number that when squared gives 49. 7*7=49, so sqrt(49)=7. | square_roots |
10,297 | 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 |
10,298 | 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 |
10,299 | 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 |
10,300 | percentages | easy | What is 100% of 17? | 17 | Calculate 100/100 * 17 = 1.0*17 = 17. | percentages |
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