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 |
|---|---|---|---|---|---|---|
6,301 | arithmetic | easy | What is 13310 / 55? | 242 | Divide: 13310 ÷ 55 = 242 because 55*242=13310. | division |
6,302 | 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 |
6,303 | geometry | easy | Find the perimeter of a rectangle with length 87 and width 15. | 204 | Perimeter = 2*(length+width) = 2*(87+15) = 2*102 = 204. | rectangle_perim |
6,304 | roots | easy | What is the square root of 1764? | 42 | Find number that when squared gives 1764. 42*42=1764, so sqrt(1764)=42. | square_roots |
6,305 | arithmetic | easy | What is 389 - 106? | 283 | Subtract: 389 - 106 = 283. | basic_operations |
6,306 | algebra | easy | Solve for x: 17x - 39 = -22 | 1 | Add 39 to both sides: 17x = -22+39=17. Then x = 17/17 = 1. | linear_equation |
6,307 | arithmetic | easy | What is 205 + 963 * 58? Remember order of operations. | 56059 | Order of operations (PEMDAS): first 963*58=55854, then 205+55854=56059. | basic_operations |
6,308 | arithmetic | easy | What is 960 - 614? | 346 | Subtract: 960 - 614 = 346. | basic_operations |
6,309 | arithmetic | easy | What is 457 + 901 * 7? Remember order of operations. | 6764 | Order of operations (PEMDAS): first 901*7=6307, then 457+6307=6764. | basic_operations |
6,310 | arithmetic | easy | What is 656 + 531 * 9? Remember order of operations. | 5435 | Order of operations (PEMDAS): first 531*9=4779, then 656+4779=5435. | basic_operations |
6,311 | algebra | easy | Solve for x: 17x - 29 = 277 | 18 | Add 29 to both sides: 17x = 277+29=306. Then x = 306/17 = 18. | linear_equation |
6,312 | 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 |
6,313 | algebra | medium | Solve for x: x^2 - 9x - 10 = 0 | x = 10, -1 | Factor: (x - 10)(x - -1) = x^2 -(9)x + -10 = 0. So x = 10 or -1. Check sum = 9, product = -10. | quadratic |
6,314 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
6,315 | arithmetic | easy | What is 872 + 677 * 3? Remember order of operations. | 2903 | Order of operations (PEMDAS): first 677*3=2031, then 872+2031=2903. | basic_operations |
6,316 | 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 |
6,317 | algebra | medium | Solve for x: x^2 - 20x + 100 = 0 | x = 10 | Factor as (x - 10)^2 = 0, so root is 10 (double root). Sum of roots = 20, product = 100. | quadratic |
6,318 | word_problems | easy | If you have 85 apples and you buy 18 more apples, how many apples do you have in total? | 103 | Add initial 85 plus bought 18: 85+18=103. | addition_word |
6,319 | arithmetic | easy | What is 553 - 430? | 123 | Subtract: 553 - 430 = 123. | basic_operations |
6,320 | arithmetic | easy | What is 28952 / 94? | 308 | Divide: 28952 ÷ 94 = 308 because 94*308=28952. | division |
6,321 | algebra | medium | Solve for x: x^2 - 7x + 10 = 0 | x = 5, 2 | Factor: (x - 5)(x - 2) = x^2 -(7)x + 10 = 0. So x = 5 or 2. Check sum = 7, product = 10. | quadratic |
6,322 | 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 |
6,323 | arithmetic | easy | What is 544 + 137? | 681 | Add the two numbers: 544 + 137 = 681. | basic_operations |
6,324 | word_problems | easy | If you have 12 books and you buy 41 more books, how many books do you have in total? | 53 | Add initial 12 plus bought 41: 12+41=53. | addition_word |
6,325 | 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 |
6,326 | geometry | easy | Find the area of a circle with radius 18. Use pi=3.14159, round to 2 decimals. | 1017.88 | Area = pi*r^2 = 3.14159*18^2 = 3.14159*324 = 1017.88. | circle_area |
6,327 | fractions | medium | What is 11/14 - 6/10? Give as simplified fraction. | 13/70 | Common denominator 140. Numerator 110-84=26. So 26/140 simplifies to 13/70. | fraction_operations |
6,328 | statistics | easy | What is the mean (average) of 11, 23, 2? | 12 | Mean = sum/count. Sum = 11+23+2=36. Count=3. Mean=36/3=12.0. | mean |
6,329 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
6,330 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
6,331 | fractions | medium | What is 14/2 + 19/4? Give as simplified fraction. | 47/4 | Common denominator 2*4=8. 14/2=56/8, 19/4=38/8. Sum = 94/8 = 47/4 simplified. | fraction_operations |
6,332 | percentages | easy | What is 59% of 373? | 220.07 | Calculate 59/100 * 373 = 0.59*373 = 220.07. | percentages |
6,333 | percentages | easy | What is 2% of 188? | 3.76 | Calculate 2/100 * 188 = 0.02*188 = 3.76. | percentages |
6,334 | geometry | easy | Find the area of a triangle with base 58 and height 52. | 1508 | Area = 0.5*base*height = 0.5*58*52 = 1508. | triangle_area |
6,335 | arithmetic | easy | What is 98 + 58 * 49? Remember order of operations. | 2940 | Order of operations (PEMDAS): first 58*49=2842, then 98+2842=2940. | basic_operations |
6,336 | exponents | easy | What is 5^5? | 3125 | 5^5 means multiply 5 by itself 5 times: 5*5*5*5*5 = 3125. | exponents |
6,337 | 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 |
6,338 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
6,339 | number_theory | medium | What is the LCM (least common multiple) of 29 and 90? | 2610 | LCM = |29*90| / GCD(29,90). GCD=1, so LCM=2610/1=2610. | lcm |
6,340 | geometry | easy | Find the area of a triangle with base 97 and height 11. | 533.5 | Area = 0.5*base*height = 0.5*97*11 = 533.5. | triangle_area |
6,341 | word_problems | easy | If you have 52 dollars and you buy 50 more dollars, how many dollars do you have in total? | 102 | Add initial 52 plus bought 50: 52+50=102. | addition_word |
6,342 | arithmetic | easy | What is 35 * 66? | 2310 | Multiply: 35 * 66 = 2310. | basic_operations |
6,343 | arithmetic | easy | What is 21102 divided by 47? Give answer to 2 decimal places. | 448.98 | Calculate 21102/ 47 = 448.9787, rounded to 2 decimals is 448.98. | division |
6,344 | statistics | easy | What is the mean (average) of 67, 48, 36? | 50.33 | Mean = sum/count. Sum = 67+48+36=151. Count=3. Mean=151/3=50.33. | mean |
6,345 | calculus | medium | What is the derivative of 3x^5 with respect to x? | 15x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^5] = 3*5*x^4 = 15x^4. | derivative |
6,346 | fractions | medium | What is 5/9 - 14/3? Give as simplified fraction. | -37/9 | Common denominator 27. Numerator 15-126=-111. So -111/27 simplifies to -37/9. | fraction_operations |
6,347 | calculus | medium | What is the derivative of 8x^8 with respect to x? | 64x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^8] = 8*8*x^7 = 64x^7. | derivative |
6,348 | 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 |
6,349 | arithmetic | easy | What is 382 - 133? | 249 | Subtract: 382 - 133 = 249. | basic_operations |
6,350 | statistics | easy | What is the mean (average) of 23, 18, 96, 7, 33? | 35.4 | Mean = sum/count. Sum = 23+18+96+7+33=177. Count=5. Mean=177/5=35.4. | mean |
6,351 | algebra | medium | Solve for x: x^2 - 15x + 54 = 0 | x = 9, 6 | Factor: (x - 9)(x - 6) = x^2 -(15)x + 54 = 0. So x = 9 or 6. Check sum = 15, product = 54. | quadratic |
6,352 | 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 |
6,353 | 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 |
6,354 | algebra | easy | Solve for x: 1x - 1 = 5 | 6 | Add 1 to both sides: 1x = 5+1=6. Then x = 6/1 = 6. | linear_equation |
6,355 | 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 |
6,356 | 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 |
6,357 | fractions | medium | What is 12/14 * 20/20? Give as simplified fraction. | 6/7 | Multiply numerators: 12*20=240. Denominators: 14*20=280. Simplify by gcd 40 to get 6/7. | fraction_operations |
6,358 | algebra | easy | Solve for x: 19x + 44 = 386 | 18 | Subtract 44 from both sides: 19x = 386-44=342. Then divide by 19: x = 342/19 = 18. | linear_equation |
6,359 | percentages | easy | What is 28% of 329? | 92.12 | Calculate 28/100 * 329 = 0.28*329 = 92.12. | percentages |
6,360 | statistics | easy | What is the mean (average) of 72, 66, 60, 91? | 72.25 | Mean = sum/count. Sum = 72+66+60+91=289. Count=4. Mean=289/4=72.25. | mean |
6,361 | statistics | easy | What is the mean (average) of 79, 24, 48, 100? | 62.75 | Mean = sum/count. Sum = 79+24+48+100=251. Count=4. Mean=251/4=62.75. | mean |
6,362 | 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 |
6,363 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
6,364 | geometry | easy | Find the area of a triangle with base 23 and height 7. | 80.5 | Area = 0.5*base*height = 0.5*23*7 = 80.5. | triangle_area |
6,365 | geometry | easy | Find the area of a triangle with base 32 and height 13. | 208 | Area = 0.5*base*height = 0.5*32*13 = 208. | triangle_area |
6,366 | 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 |
6,367 | fractions | medium | What is 20/4 - 5/6? Give as simplified fraction. | 25/6 | Common denominator 24. Numerator 120-20=100. So 100/24 simplifies to 25/6. | fraction_operations |
6,368 | arithmetic | easy | What is 31 + 5 * 9? Remember order of operations. | 76 | Order of operations (PEMDAS): first 5*9=45, then 31+45=76. | basic_operations |
6,369 | word_problems | easy | If you have 56 pencils and you buy 10 more pencils, how many pencils do you have in total? | 66 | Add initial 56 plus bought 10: 56+10=66. | addition_word |
6,370 | arithmetic | easy | What is 84 + 85 * 40? Remember order of operations. | 3484 | Order of operations (PEMDAS): first 85*40=3400, then 84+3400=3484. | basic_operations |
6,371 | arithmetic | easy | What is 10 * 28? | 280 | Multiply: 10 * 28 = 280. | basic_operations |
6,372 | arithmetic | easy | What is 529 - 210? | 319 | Subtract: 529 - 210 = 319. | basic_operations |
6,373 | statistics | easy | What is the mean (average) of 5, 76, 79? | 53.33 | Mean = sum/count. Sum = 5+76+79=160. Count=3. Mean=160/3=53.33. | mean |
6,374 | 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 |
6,375 | 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 |
6,376 | calculus | medium | What is the derivative of 3x^4 with respect to x? | 12x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^4] = 3*4*x^3 = 12x^3. | derivative |
6,377 | algebra | easy | Solve for x: 10x - 49 = -39 | 1 | Add 49 to both sides: 10x = -39+49=10. Then x = 10/10 = 1. | linear_equation |
6,378 | algebra | easy | Solve for x: 2x + 16 = -2 | -9 | Subtract 16 from both sides: 2x = -2-16=-18. Then divide by 2: x = -18/2 = -9. | linear_equation |
6,379 | percentages | easy | What is 44% of 852? | 374.88 | Calculate 44/100 * 852 = 0.44*852 = 374.88. | percentages |
6,380 | percentages | easy | What is 4% of 584? | 23.36 | Calculate 4/100 * 584 = 0.04*584 = 23.36. | percentages |
6,381 | statistics | easy | What is the mean (average) of 55, 78, 14, 80? | 56.75 | Mean = sum/count. Sum = 55+78+14+80=227. Count=4. Mean=227/4=56.75. | mean |
6,382 | geometry | easy | Find the area of a triangle with base 80 and height 52. | 2080 | Area = 0.5*base*height = 0.5*80*52 = 2080. | triangle_area |
6,383 | algebra | easy | Solve for x: 19x + 49 = 315 | 14 | Subtract 49 from both sides: 19x = 315-49=266. Then divide by 19: x = 266/19 = 14. | linear_equation |
6,384 | arithmetic | easy | What is 878 - 665? | 213 | Subtract: 878 - 665 = 213. | basic_operations |
6,385 | arithmetic | easy | What is 486 + 88 * 85? Remember order of operations. | 7966 | Order of operations (PEMDAS): first 88*85=7480, then 486+7480=7966. | basic_operations |
6,386 | arithmetic | easy | What is 631 + 460 * 53? Remember order of operations. | 25011 | Order of operations (PEMDAS): first 460*53=24380, then 631+24380=25011. | basic_operations |
6,387 | 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 |
6,388 | 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 |
6,389 | algebra | easy | Solve for x: 10x - 50 = -60 | -1 | Add 50 to both sides: 10x = -60+50=-10. Then x = -10/10 = -1. | linear_equation |
6,390 | percentages | easy | What is 40% of 503? | 201.2 | Calculate 40/100 * 503 = 0.4*503 = 201.2. | percentages |
6,391 | geometry | easy | Find the area of a rectangle with length 91 and width 21. | 1911 | Area = length * width = 91*21 = 1911. | rectangle_area |
6,392 | roots | easy | What is the square root of 225? | 15 | Find number that when squared gives 225. 15*15=225, so sqrt(225)=15. | square_roots |
6,393 | arithmetic | easy | What is 80 * 41? | 3280 | Multiply: 80 * 41 = 3280. | basic_operations |
6,394 | arithmetic | easy | What is 83 divided by 3? Give answer to 2 decimal places. | 27.67 | Calculate 83/ 3 = 27.6667, rounded to 2 decimals is 27.67. | division |
6,395 | statistics | easy | What is the mean (average) of 83, 22, 10? | 38.33 | Mean = sum/count. Sum = 83+22+10=115. Count=3. Mean=115/3=38.33. | mean |
6,396 | statistics | easy | What is the mean (average) of 8, 29, 54, 12? | 25.75 | Mean = sum/count. Sum = 8+29+54+12=103. Count=4. Mean=103/4=25.75. | mean |
6,397 | algebra | medium | Solve for x: x^2 + 15x + 54 = 0 | x = -9, -6 | Factor: (x - -9)(x - -6) = x^2 -(-15)x + 54 = 0. So x = -9 or -6. Check sum = -15, product = 54. | quadratic |
6,398 | roots | easy | What is the square root of 1600? | 40 | Find number that when squared gives 1600. 40*40=1600, so sqrt(1600)=40. | square_roots |
6,399 | arithmetic | easy | What is 605 + 204 * 67? Remember order of operations. | 14273 | Order of operations (PEMDAS): first 204*67=13668, then 605+13668=14273. | basic_operations |
6,400 | word_problems | easy | If you have 10 dollars and you buy 13 more dollars, how many dollars do you have in total? | 23 | Add initial 10 plus bought 13: 10+13=23. | addition_word |
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