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 |
|---|---|---|---|---|---|---|
2,301 | number_theory | medium | What is the GCD (greatest common divisor) of 30 and 75? | 15 | Find greatest number dividing both 30 and 75. Divisors common, greatest is 15. | gcd |
2,302 | word_problems | easy | If you have 70 dollars and you buy 40 more dollars, how many dollars do you have in total? | 110 | Add initial 70 plus bought 40: 70+40=110. | addition_word |
2,303 | 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 |
2,304 | word_problems | easy | If you have 60 dollars and you buy 27 more dollars, how many dollars do you have in total? | 87 | Add initial 60 plus bought 27: 60+27=87. | addition_word |
2,305 | statistics | easy | What is the mean (average) of 35, 49, 4, 23? | 27.75 | Mean = sum/count. Sum = 35+49+4+23=111. Count=4. Mean=111/4=27.75. | mean |
2,306 | word_problems | easy | If you have 34 apples and you buy 17 more apples, how many apples do you have in total? | 51 | Add initial 34 plus bought 17: 34+17=51. | addition_word |
2,307 | number_theory | medium | What is the GCD (greatest common divisor) of 11 and 38? | 1 | Find greatest number dividing both 11 and 38. Divisors common, greatest is 1. | gcd |
2,308 | geometry | easy | Find the perimeter of a rectangle with length 13 and width 16. | 58 | Perimeter = 2*(length+width) = 2*(13+16) = 2*29 = 58. | rectangle_perim |
2,309 | arithmetic | easy | What is 369 + 40? | 409 | Add the two numbers: 369 + 40 = 409. | basic_operations |
2,310 | roots | easy | What is the square root of 289? | 17 | Find number that when squared gives 289. 17*17=289, so sqrt(289)=17. | square_roots |
2,311 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
2,312 | fractions | medium | What is 20/6 + 18/10? Give as simplified fraction. | 77/15 | Common denominator 6*10=60. 20/6=200/60, 18/10=108/60. Sum = 308/60 = 77/15 simplified. | fraction_operations |
2,313 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
2,314 | calculus | medium | What is the derivative of 10x^5 with respect to x? | 50x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^5] = 10*5*x^4 = 50x^4. | derivative |
2,315 | arithmetic | easy | What is 484 + 670? | 1154 | Add the two numbers: 484 + 670 = 1154. | basic_operations |
2,316 | percentages | easy | What is 30% of 741? | 222.3 | Calculate 30/100 * 741 = 0.3*741 = 222.3. | percentages |
2,317 | fractions | medium | What is 16/9 * 17/20? Give as simplified fraction. | 68/45 | Multiply numerators: 16*17=272. Denominators: 9*20=180. Simplify by gcd 4 to get 68/45. | fraction_operations |
2,318 | word_problems | easy | If you have 97 dollars and you buy 30 more dollars, how many dollars do you have in total? | 127 | Add initial 97 plus bought 30: 97+30=127. | addition_word |
2,319 | arithmetic | easy | What is 867 - 321? | 546 | Subtract: 867 - 321 = 546. | basic_operations |
2,320 | 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 |
2,321 | word_problems | easy | If you have 62 apples and you buy 36 more apples, how many apples do you have in total? | 98 | Add initial 62 plus bought 36: 62+36=98. | addition_word |
2,322 | number_theory | medium | What is the GCD (greatest common divisor) of 18 and 74? | 2 | Find greatest number dividing both 18 and 74. Divisors common, greatest is 2. | gcd |
2,323 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
2,324 | number_theory | medium | What is the LCM (least common multiple) of 44 and 29? | 1276 | LCM = |44*29| / GCD(44,29). GCD=1, so LCM=1276/1=1276. | lcm |
2,325 | 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 |
2,326 | 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 |
2,327 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
2,328 | arithmetic | easy | What is 945 - 143? | 802 | Subtract: 945 - 143 = 802. | basic_operations |
2,329 | 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 |
2,330 | 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 |
2,331 | calculus | medium | What is the derivative of 8x^3 with respect to x? | 24x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^3] = 8*3*x^2 = 24x^2. | derivative |
2,332 | arithmetic | easy | What is 12848 / 44? | 292 | Divide: 12848 ÷ 44 = 292 because 44*292=12848. | division |
2,333 | arithmetic | easy | What is 23 * 5? | 115 | Multiply: 23 * 5 = 115. | basic_operations |
2,334 | statistics | easy | What is the mean (average) of 24, 26, 9? | 19.67 | Mean = sum/count. Sum = 24+26+9=59. Count=3. Mean=59/3=19.67. | mean |
2,335 | calculus | medium | What is the derivative of 4x^4 with respect to x? | 16x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^4] = 4*4*x^3 = 16x^3. | derivative |
2,336 | percentages | easy | What is 38% of 676? | 256.88 | Calculate 38/100 * 676 = 0.38*676 = 256.88. | percentages |
2,337 | arithmetic | easy | What is 2 * 22? | 44 | Multiply: 2 * 22 = 44. | basic_operations |
2,338 | 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 |
2,339 | 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 |
2,340 | 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 |
2,341 | arithmetic | easy | What is 399 + 979? | 1378 | Add the two numbers: 399 + 979 = 1378. | basic_operations |
2,342 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
2,343 | algebra | medium | Solve for x: x^2 - 17x + 72 = 0 | x = 9, 8 | Factor: (x - 9)(x - 8) = x^2 -(17)x + 72 = 0. So x = 9 or 8. Check sum = 17, product = 72. | quadratic |
2,344 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
2,345 | word_problems | easy | If you have 40 apples and you buy 13 more apples, how many apples do you have in total? | 53 | Add initial 40 plus bought 13: 40+13=53. | addition_word |
2,346 | algebra | easy | Solve for x: 15x - 42 = 33 | 5 | Add 42 to both sides: 15x = 33+42=75. Then x = 75/15 = 5. | linear_equation |
2,347 | percentages | easy | What is 68% of 337? | 229.16 | Calculate 68/100 * 337 = 0.68*337 = 229.16. | percentages |
2,348 | statistics | easy | What is the mean (average) of 60, 74, 6, 95? | 58.75 | Mean = sum/count. Sum = 60+74+6+95=235. Count=4. Mean=235/4=58.75. | mean |
2,349 | arithmetic | easy | What is 662 - 295? | 367 | Subtract: 662 - 295 = 367. | basic_operations |
2,350 | exponents | easy | What is 8^3? | 512 | 8^3 means multiply 8 by itself 3 times: 8*8*8 = 512. | exponents |
2,351 | 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 |
2,352 | algebra | medium | Solve for x: x^2 - 12x + 27 = 0 | x = 9, 3 | Factor: (x - 9)(x - 3) = x^2 -(12)x + 27 = 0. So x = 9 or 3. Check sum = 12, product = 27. | quadratic |
2,353 | word_problems | easy | If you have 54 books and you buy 43 more books, how many books do you have in total? | 97 | Add initial 54 plus bought 43: 54+43=97. | addition_word |
2,354 | arithmetic | easy | What is 18616 / 52? | 358 | Divide: 18616 ÷ 52 = 358 because 52*358=18616. | division |
2,355 | algebra | medium | Solve for x: x^2 - 8x - 20 = 0 | x = -2, 10 | Factor: (x - -2)(x - 10) = x^2 -(8)x + -20 = 0. So x = -2 or 10. Check sum = 8, product = -20. | quadratic |
2,356 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
2,357 | fractions | medium | What is 16/15 - 18/5? Give as simplified fraction. | -38/15 | Common denominator 75. Numerator 80-270=-190. So -190/75 simplifies to -38/15. | fraction_operations |
2,358 | arithmetic | easy | What is 774 - 108? | 666 | Subtract: 774 - 108 = 666. | basic_operations |
2,359 | algebra | medium | Solve for x: x^2 + 6x + 8 = 0 | x = -2, -4 | Factor: (x - -2)(x - -4) = x^2 -(-6)x + 8 = 0. So x = -2 or -4. Check sum = -6, product = 8. | quadratic |
2,360 | arithmetic | easy | What is 89 * 87? | 7743 | Multiply: 89 * 87 = 7743. | basic_operations |
2,361 | calculus | medium | What is the derivative of 7x^4 with respect to x? | 28x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^4] = 7*4*x^3 = 28x^3. | derivative |
2,362 | fractions | medium | What is 13/3 + 1/10? Give as simplified fraction. | 133/30 | Common denominator 3*10=30. 13/3=130/30, 1/10=3/30. Sum = 133/30 = 133/30 simplified. | fraction_operations |
2,363 | algebra | easy | Solve for x: 11x + 35 = 134 | 9 | Subtract 35 from both sides: 11x = 134-35=99. Then divide by 11: x = 99/11 = 9. | linear_equation |
2,364 | statistics | easy | What is the mean (average) of 9, 11, 71, 85? | 44 | Mean = sum/count. Sum = 9+11+71+85=176. Count=4. Mean=176/4=44.0. | mean |
2,365 | percentages | easy | What is 92% of 973? | 895.16 | Calculate 92/100 * 973 = 0.92*973 = 895.16. | percentages |
2,366 | word_problems | easy | If you have 22 dollars and you buy 31 more dollars, how many dollars do you have in total? | 53 | Add initial 22 plus bought 31: 22+31=53. | addition_word |
2,367 | algebra | medium | Solve for x: x^2 + 15x + 50 = 0 | x = -5, -10 | Factor: (x - -5)(x - -10) = x^2 -(-15)x + 50 = 0. So x = -5 or -10. Check sum = -15, product = 50. | quadratic |
2,368 | arithmetic | easy | What is 3628 divided by 24? Give answer to 2 decimal places. | 151.17 | Calculate 3628/ 24 = 151.1667, rounded to 2 decimals is 151.17. | division |
2,369 | algebra | medium | Solve for x: x^2 + 18x + 80 = 0 | x = -8, -10 | Factor: (x - -8)(x - -10) = x^2 -(-18)x + 80 = 0. So x = -8 or -10. Check sum = -18, product = 80. | quadratic |
2,370 | geometry | easy | Find the perimeter of a rectangle with length 57 and width 46. | 206 | Perimeter = 2*(length+width) = 2*(57+46) = 2*103 = 206. | rectangle_perim |
2,371 | algebra | medium | Solve for x: x^2 + 13x + 36 = 0 | x = -4, -9 | Factor: (x - -4)(x - -9) = x^2 -(-13)x + 36 = 0. So x = -4 or -9. Check sum = -13, product = 36. | quadratic |
2,372 | fractions | medium | What is 15/3 - 17/5? Give as simplified fraction. | 8/5 | Common denominator 15. Numerator 75-51=24. So 24/15 simplifies to 8/5. | fraction_operations |
2,373 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
2,374 | arithmetic | easy | What is 50 + 791? | 841 | Add the two numbers: 50 + 791 = 841. | basic_operations |
2,375 | number_theory | medium | What is the GCD (greatest common divisor) of 31 and 26? | 1 | Find greatest number dividing both 31 and 26. Divisors common, greatest is 1. | gcd |
2,376 | arithmetic | easy | What is 432 - 29? | 403 | Subtract: 432 - 29 = 403. | basic_operations |
2,377 | arithmetic | easy | What is 22 + 93 * 13? Remember order of operations. | 1231 | Order of operations (PEMDAS): first 93*13=1209, then 22+1209=1231. | basic_operations |
2,378 | 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 |
2,379 | arithmetic | easy | What is 7138 / 43? | 166 | Divide: 7138 ÷ 43 = 166 because 43*166=7138. | division |
2,380 | fractions | medium | What is 18/14 + 14/5? Give as simplified fraction. | 143/35 | Common denominator 14*5=70. 18/14=90/70, 14/5=196/70. Sum = 286/70 = 143/35 simplified. | fraction_operations |
2,381 | fractions | medium | What is 4/13 + 11/7? Give as simplified fraction. | 171/91 | Common denominator 13*7=91. 4/13=28/91, 11/7=143/91. Sum = 171/91 = 171/91 simplified. | fraction_operations |
2,382 | calculus | medium | What is the derivative of 6x^7 with respect to x? | 42x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^7] = 6*7*x^6 = 42x^6. | derivative |
2,383 | arithmetic | easy | What is 399 + 218 * 59? Remember order of operations. | 13261 | Order of operations (PEMDAS): first 218*59=12862, then 399+12862=13261. | basic_operations |
2,384 | geometry | easy | Find the area of a triangle with base 48 and height 6. | 144 | Area = 0.5*base*height = 0.5*48*6 = 144. | triangle_area |
2,385 | arithmetic | easy | What is 907 - 224? | 683 | Subtract: 907 - 224 = 683. | basic_operations |
2,386 | statistics | easy | What is the mean (average) of 92, 69, 73? | 78 | Mean = sum/count. Sum = 92+69+73=234. Count=3. Mean=234/3=78.0. | mean |
2,387 | algebra | medium | Solve for x: x^2 + 9x + 14 = 0 | x = -2, -7 | Factor: (x - -2)(x - -7) = x^2 -(-9)x + 14 = 0. So x = -2 or -7. Check sum = -9, product = 14. | quadratic |
2,388 | roots | easy | What is the square root of 1681? | 41 | Find number that when squared gives 1681. 41*41=1681, so sqrt(1681)=41. | square_roots |
2,389 | calculus | medium | What is the derivative of 3x^7 with respect to x? | 21x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^7] = 3*7*x^6 = 21x^6. | derivative |
2,390 | roots | easy | What is the square root of 144? | 12 | Find number that when squared gives 144. 12*12=144, so sqrt(144)=12. | square_roots |
2,391 | 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 |
2,392 | statistics | easy | What is the mean (average) of 43, 3, 78? | 41.33 | Mean = sum/count. Sum = 43+3+78=124. Count=3. Mean=124/3=41.33. | mean |
2,393 | word_problems | easy | If you have 53 books and you buy 33 more books, how many books do you have in total? | 86 | Add initial 53 plus bought 33: 53+33=86. | addition_word |
2,394 | arithmetic | easy | What is 239 + 22? | 261 | Add the two numbers: 239 + 22 = 261. | basic_operations |
2,395 | 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 |
2,396 | percentages | easy | What is 80% of 82? | 65.6 | Calculate 80/100 * 82 = 0.8*82 = 65.6. | percentages |
2,397 | arithmetic | easy | What is 384 + 141 * 64? Remember order of operations. | 9408 | Order of operations (PEMDAS): first 141*64=9024, then 384+9024=9408. | basic_operations |
2,398 | 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 |
2,399 | percentages | easy | What is 93% of 613? | 570.09 | Calculate 93/100 * 613 = 0.93*613 = 570.09. | percentages |
2,400 | word_problems | easy | If you have 99 books and you buy 22 more books, how many books do you have in total? | 121 | Add initial 99 plus bought 22: 99+22=121. | addition_word |
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