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 |
|---|---|---|---|---|---|---|
733,301 | algebra | easy | Solve for x: 13x - 2 = -249 | -19 | Add 2 to both sides: 13x = -249+2=-247. Then x = -247/13 = -19. | linear_equation |
733,302 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
733,303 | arithmetic | easy | What is 821 + 491? | 1312 | Add the two numbers: 821 + 491 = 1312. | basic_operations |
733,304 | statistics | easy | What is the mean (average) of 90, 65, 66, 20, 63? | 60.8 | Mean = sum/count. Sum = 90+65+66+20+63=304. Count=5. Mean=304/5=60.8. | mean |
733,305 | number_theory | medium | What is the GCD (greatest common divisor) of 96 and 30? | 6 | Find greatest number dividing both 96 and 30. Divisors common, greatest is 6. | gcd |
733,306 | arithmetic | easy | What is 43 * 31? | 1333 | Multiply: 43 * 31 = 1333. | basic_operations |
733,307 | algebra | easy | Solve for x: 3x - 33 = -60 | -9 | Add 33 to both sides: 3x = -60+33=-27. Then x = -27/3 = -9. | linear_equation |
733,308 | statistics | easy | What is the mean (average) of 76, 97, 4, 100, 80? | 71.4 | Mean = sum/count. Sum = 76+97+4+100+80=357. Count=5. Mean=357/5=71.4. | mean |
733,309 | percentages | easy | What is 21% of 544? | 114.24 | Calculate 21/100 * 544 = 0.21*544 = 114.24. | percentages |
733,310 | arithmetic | easy | What is 44 + 396? | 440 | Add the two numbers: 44 + 396 = 440. | basic_operations |
733,311 | calculus | medium | What is the derivative of 10x^6 with respect to x? | 60x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^6] = 10*6*x^5 = 60x^5. | derivative |
733,312 | arithmetic | easy | What is 762 - 128? | 634 | Subtract: 762 - 128 = 634. | basic_operations |
733,313 | algebra | easy | Solve for x: 13x + 6 = 188 | 14 | Subtract 6 from both sides: 13x = 188-6=182. Then divide by 13: x = 182/13 = 14. | linear_equation |
733,314 | word_problems | easy | If you have 37 dollars and you buy 41 more dollars, how many dollars do you have in total? | 78 | Add initial 37 plus bought 41: 37+41=78. | addition_word |
733,315 | roots | easy | What is the square root of 2116? | 46 | Find number that when squared gives 2116. 46*46=2116, so sqrt(2116)=46. | square_roots |
733,316 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
733,317 | word_problems | easy | If you have 82 apples and you buy 26 more apples, how many apples do you have in total? | 108 | Add initial 82 plus bought 26: 82+26=108. | addition_word |
733,318 | arithmetic | easy | What is 399 - 395? | 4 | Subtract: 399 - 395 = 4. | basic_operations |
733,319 | geometry | easy | Find the perimeter of a rectangle with length 37 and width 2. | 78 | Perimeter = 2*(length+width) = 2*(37+2) = 2*39 = 78. | rectangle_perim |
733,320 | algebra | easy | Solve for x: 18x + 48 = -24 | -4 | Subtract 48 from both sides: 18x = -24-48=-72. Then divide by 18: x = -72/18 = -4. | linear_equation |
733,321 | 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 |
733,322 | arithmetic | easy | What is 42 * 64? | 2688 | Multiply: 42 * 64 = 2688. | basic_operations |
733,323 | percentages | easy | What is 89% of 631? | 561.59 | Calculate 89/100 * 631 = 0.89*631 = 561.59. | percentages |
733,324 | 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 |
733,325 | arithmetic | easy | What is 52 * 72? | 3744 | Multiply: 52 * 72 = 3744. | basic_operations |
733,326 | algebra | medium | Solve for x: x^2 + 16x + 63 = 0 | x = -9, -7 | Factor: (x - -9)(x - -7) = x^2 -(-16)x + 63 = 0. So x = -9 or -7. Check sum = -16, product = 63. | quadratic |
733,327 | algebra | medium | Solve for x: x^2 - 13x + 40 = 0 | x = 8, 5 | Factor: (x - 8)(x - 5) = x^2 -(13)x + 40 = 0. So x = 8 or 5. Check sum = 13, product = 40. | quadratic |
733,328 | 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 |
733,329 | arithmetic | easy | What is 68 * 52? | 3536 | Multiply: 68 * 52 = 3536. | basic_operations |
733,330 | number_theory | medium | What is the GCD (greatest common divisor) of 51 and 70? | 1 | Find greatest number dividing both 51 and 70. Divisors common, greatest is 1. | gcd |
733,331 | percentages | easy | What is 36% of 902? | 324.72 | Calculate 36/100 * 902 = 0.36*902 = 324.72. | percentages |
733,332 | algebra | medium | Solve for x: x^2 - 13x + 42 = 0 | x = 7, 6 | Factor: (x - 7)(x - 6) = x^2 -(13)x + 42 = 0. So x = 7 or 6. Check sum = 13, product = 42. | quadratic |
733,333 | 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 |
733,334 | 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 |
733,335 | arithmetic | easy | What is 17700 / 100? | 177 | Divide: 17700 ÷ 100 = 177 because 100*177=17700. | division |
733,336 | number_theory | medium | What is the LCM (least common multiple) of 59 and 5? | 295 | LCM = |59*5| / GCD(59,5). GCD=1, so LCM=295/1=295. | lcm |
733,337 | arithmetic | easy | What is 4 * 51? | 204 | Multiply: 4 * 51 = 204. | basic_operations |
733,338 | percentages | easy | What is 57% of 892? | 508.44 | Calculate 57/100 * 892 = 0.57*892 = 508.44. | percentages |
733,339 | word_problems | easy | If you have 79 dollars and you buy 48 more dollars, how many dollars do you have in total? | 127 | Add initial 79 plus bought 48: 79+48=127. | addition_word |
733,340 | arithmetic | easy | What is 436 + 914 * 56? Remember order of operations. | 51620 | Order of operations (PEMDAS): first 914*56=51184, then 436+51184=51620. | basic_operations |
733,341 | algebra | easy | Solve for x: 9x + 12 = 75 | 7 | Subtract 12 from both sides: 9x = 75-12=63. Then divide by 9: x = 63/9 = 7. | linear_equation |
733,342 | arithmetic | easy | What is 44 * 31? | 1364 | Multiply: 44 * 31 = 1364. | basic_operations |
733,343 | number_theory | medium | What is the GCD (greatest common divisor) of 72 and 5? | 1 | Find greatest number dividing both 72 and 5. Divisors common, greatest is 1. | gcd |
733,344 | arithmetic | easy | What is 77 + 69 * 6? Remember order of operations. | 491 | Order of operations (PEMDAS): first 69*6=414, then 77+414=491. | basic_operations |
733,345 | arithmetic | easy | What is 837 - 591? | 246 | Subtract: 837 - 591 = 246. | basic_operations |
733,346 | arithmetic | easy | What is 29347 divided by 82? Give answer to 2 decimal places. | 357.89 | Calculate 29347/ 82 = 357.8902, rounded to 2 decimals is 357.89. | division |
733,347 | percentages | easy | What is 20% of 371? | 74.2 | Calculate 20/100 * 371 = 0.2*371 = 74.2. | percentages |
733,348 | arithmetic | easy | What is 732 + 89 * 21? Remember order of operations. | 2601 | Order of operations (PEMDAS): first 89*21=1869, then 732+1869=2601. | basic_operations |
733,349 | statistics | easy | What is the mean (average) of 99, 99, 66, 34, 24? | 64.4 | Mean = sum/count. Sum = 99+99+66+34+24=322. Count=5. Mean=322/5=64.4. | mean |
733,350 | 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 |
733,351 | statistics | easy | What is the mean (average) of 25, 5, 21? | 17 | Mean = sum/count. Sum = 25+5+21=51. Count=3. Mean=51/3=17.0. | mean |
733,352 | arithmetic | easy | What is 40 * 71? | 2840 | Multiply: 40 * 71 = 2840. | basic_operations |
733,353 | number_theory | medium | What is the GCD (greatest common divisor) of 60 and 7? | 1 | Find greatest number dividing both 60 and 7. Divisors common, greatest is 1. | gcd |
733,354 | arithmetic | easy | What is 772 - 120? | 652 | Subtract: 772 - 120 = 652. | basic_operations |
733,355 | arithmetic | easy | What is 44 + 38 * 60? Remember order of operations. | 2324 | Order of operations (PEMDAS): first 38*60=2280, then 44+2280=2324. | basic_operations |
733,356 | geometry | easy | Find the area of a triangle with base 37 and height 55. | 1017.5 | Area = 0.5*base*height = 0.5*37*55 = 1017.5. | triangle_area |
733,357 | arithmetic | easy | What is 347 + 668? | 1015 | Add the two numbers: 347 + 668 = 1015. | basic_operations |
733,358 | geometry | easy | Find the area of a triangle with base 85 and height 37. | 1572.5 | Area = 0.5*base*height = 0.5*85*37 = 1572.5. | triangle_area |
733,359 | 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 |
733,360 | arithmetic | easy | What is 637 + 444 * 87? Remember order of operations. | 39265 | Order of operations (PEMDAS): first 444*87=38628, then 637+38628=39265. | basic_operations |
733,361 | word_problems | easy | If you have 91 pencils and you buy 22 more pencils, how many pencils do you have in total? | 113 | Add initial 91 plus bought 22: 91+22=113. | addition_word |
733,362 | fractions | medium | What is 18/8 - 8/18? Give as simplified fraction. | 65/36 | Common denominator 144. Numerator 324-64=260. So 260/144 simplifies to 65/36. | fraction_operations |
733,363 | arithmetic | easy | What is 538 + 225 * 56? Remember order of operations. | 13138 | Order of operations (PEMDAS): first 225*56=12600, then 538+12600=13138. | basic_operations |
733,364 | number_theory | medium | What is the GCD (greatest common divisor) of 75 and 33? | 3 | Find greatest number dividing both 75 and 33. Divisors common, greatest is 3. | gcd |
733,365 | algebra | medium | Solve for x: x^2 + 2x - 48 = 0 | x = 6, -8 | Factor: (x - 6)(x - -8) = x^2 -(-2)x + -48 = 0. So x = 6 or -8. Check sum = -2, product = -48. | quadratic |
733,366 | arithmetic | easy | What is 90 * 49? | 4410 | Multiply: 90 * 49 = 4410. | basic_operations |
733,367 | arithmetic | easy | What is 88 * 36? | 3168 | Multiply: 88 * 36 = 3168. | basic_operations |
733,368 | percentages | easy | What is 17% of 157? | 26.69 | Calculate 17/100 * 157 = 0.17*157 = 26.69. | percentages |
733,369 | arithmetic | easy | What is 248 + 226 * 15? Remember order of operations. | 3638 | Order of operations (PEMDAS): first 226*15=3390, then 248+3390=3638. | basic_operations |
733,370 | number_theory | medium | What is the GCD (greatest common divisor) of 47 and 2? | 1 | Find greatest number dividing both 47 and 2. Divisors common, greatest is 1. | gcd |
733,371 | algebra | medium | Solve for x: x^2 + 7x + 6 = 0 | x = -6, -1 | Factor: (x - -6)(x - -1) = x^2 -(-7)x + 6 = 0. So x = -6 or -1. Check sum = -7, product = 6. | quadratic |
733,372 | algebra | medium | Solve for x: x^2 - 13x + 36 = 0 | x = 9, 4 | Factor: (x - 9)(x - 4) = x^2 -(13)x + 36 = 0. So x = 9 or 4. Check sum = 13, product = 36. | quadratic |
733,373 | algebra | easy | Solve for x: 14x - 12 = 128 | 10 | Add 12 to both sides: 14x = 128+12=140. Then x = 140/14 = 10. | linear_equation |
733,374 | arithmetic | easy | What is 13608 / 72? | 189 | Divide: 13608 ÷ 72 = 189 because 72*189=13608. | division |
733,375 | arithmetic | easy | What is 500 / 50? | 10 | Divide: 500 ÷ 50 = 10 because 50*10=500. | division |
733,376 | number_theory | medium | What is the GCD (greatest common divisor) of 52 and 83? | 1 | Find greatest number dividing both 52 and 83. Divisors common, greatest is 1. | gcd |
733,377 | arithmetic | easy | What is 97 divided by 3? Give answer to 2 decimal places. | 32.33 | Calculate 97/ 3 = 32.3333, rounded to 2 decimals is 32.33. | division |
733,378 | percentages | easy | What is 95% of 328? | 311.6 | Calculate 95/100 * 328 = 0.95*328 = 311.6. | percentages |
733,379 | arithmetic | easy | What is 908 - 87? | 821 | Subtract: 908 - 87 = 821. | basic_operations |
733,380 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
733,381 | calculus | medium | What is the derivative of 7x^2 with respect to x? | 14x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^2] = 7*2*x^1 = 14x. | derivative |
733,382 | word_problems | easy | If you have 51 dollars and you buy 14 more dollars, how many dollars do you have in total? | 65 | Add initial 51 plus bought 14: 51+14=65. | addition_word |
733,383 | word_problems | easy | If you have 86 books and you buy 17 more books, how many books do you have in total? | 103 | Add initial 86 plus bought 17: 86+17=103. | addition_word |
733,384 | arithmetic | easy | What is 746 + 145 * 86? Remember order of operations. | 13216 | Order of operations (PEMDAS): first 145*86=12470, then 746+12470=13216. | basic_operations |
733,385 | statistics | easy | What is the mean (average) of 98, 86, 81? | 88.33 | Mean = sum/count. Sum = 98+86+81=265. Count=3. Mean=265/3=88.33. | mean |
733,386 | arithmetic | easy | What is 907 + 668? | 1575 | Add the two numbers: 907 + 668 = 1575. | basic_operations |
733,387 | statistics | easy | What is the mean (average) of 28, 28, 30, 37? | 30.75 | Mean = sum/count. Sum = 28+28+30+37=123. Count=4. Mean=123/4=30.75. | mean |
733,388 | geometry | easy | Find the perimeter of a rectangle with length 10 and width 68. | 156 | Perimeter = 2*(length+width) = 2*(10+68) = 2*78 = 156. | rectangle_perim |
733,389 | statistics | easy | What is the mean (average) of 80, 79, 31, 17, 29? | 47.2 | Mean = sum/count. Sum = 80+79+31+17+29=236. Count=5. Mean=236/5=47.2. | mean |
733,390 | statistics | easy | What is the mean (average) of 81, 17, 5, 24? | 31.75 | Mean = sum/count. Sum = 81+17+5+24=127. Count=4. Mean=127/4=31.75. | mean |
733,391 | arithmetic | easy | What is 3587 / 17? | 211 | Divide: 3587 ÷ 17 = 211 because 17*211=3587. | division |
733,392 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
733,393 | word_problems | easy | If you have 41 candies and you buy 20 more candies, how many candies do you have in total? | 61 | Add initial 41 plus bought 20: 41+20=61. | addition_word |
733,394 | 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 |
733,395 | arithmetic | easy | What is 943 - 696? | 247 | Subtract: 943 - 696 = 247. | basic_operations |
733,396 | algebra | medium | Solve for x: x^2 + 14x + 45 = 0 | x = -5, -9 | Factor: (x - -5)(x - -9) = x^2 -(-14)x + 45 = 0. So x = -5 or -9. Check sum = -14, product = 45. | quadratic |
733,397 | arithmetic | easy | What is 30 * 27? | 810 | Multiply: 30 * 27 = 810. | basic_operations |
733,398 | fractions | medium | What is 11/7 * 1/19? Give as simplified fraction. | 11/133 | Multiply numerators: 11*1=11. Denominators: 7*19=133. Simplify by gcd 1 to get 11/133. | fraction_operations |
733,399 | calculus | medium | What is the derivative of 4x^5 with respect to x? | 20x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^5] = 4*5*x^4 = 20x^4. | derivative |
733,400 | arithmetic | easy | What is 922 - 821? | 101 | Subtract: 922 - 821 = 101. | basic_operations |
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