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 |
|---|---|---|---|---|---|---|
5,301 | 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 |
5,302 | calculus | medium | What is the derivative of 3x^6 with respect to x? | 18x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^6] = 3*6*x^5 = 18x^5. | derivative |
5,303 | 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 |
5,304 | calculus | medium | What is the derivative of 5x^5 with respect to x? | 25x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^5] = 5*5*x^4 = 25x^4. | derivative |
5,305 | word_problems | easy | If you have 28 books and you buy 8 more books, how many books do you have in total? | 36 | Add initial 28 plus bought 8: 28+8=36. | addition_word |
5,306 | arithmetic | easy | What is 465 + 891 * 36? Remember order of operations. | 32541 | Order of operations (PEMDAS): first 891*36=32076, then 465+32076=32541. | basic_operations |
5,307 | arithmetic | easy | What is 3348 / 36? | 93 | Divide: 3348 ÷ 36 = 93 because 36*93=3348. | division |
5,308 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
5,309 | fractions | medium | What is 8/7 - 14/5? Give as simplified fraction. | -58/35 | Common denominator 35. Numerator 40-98=-58. So -58/35 simplifies to -58/35. | fraction_operations |
5,310 | 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 |
5,311 | fractions | medium | What is 2/16 + 19/15? Give as simplified fraction. | 167/120 | Common denominator 16*15=240. 2/16=30/240, 19/15=304/240. Sum = 334/240 = 167/120 simplified. | fraction_operations |
5,312 | word_problems | easy | If you have 33 apples and you buy 7 more apples, how many apples do you have in total? | 40 | Add initial 33 plus bought 7: 33+7=40. | addition_word |
5,313 | arithmetic | easy | What is 16 * 64? | 1024 | Multiply: 16 * 64 = 1024. | basic_operations |
5,314 | number_theory | medium | What is the GCD (greatest common divisor) of 22 and 19? | 1 | Find greatest number dividing both 22 and 19. Divisors common, greatest is 1. | gcd |
5,315 | arithmetic | easy | What is 748 + 378 * 71? Remember order of operations. | 27586 | Order of operations (PEMDAS): first 378*71=26838, then 748+26838=27586. | basic_operations |
5,316 | geometry | easy | Find the area of a circle with radius 11. Use pi=3.14159, round to 2 decimals. | 380.13 | Area = pi*r^2 = 3.14159*11^2 = 3.14159*121 = 380.13. | circle_area |
5,317 | fractions | medium | What is 12/10 * 6/15? Give as simplified fraction. | 12/25 | Multiply numerators: 12*6=72. Denominators: 10*15=150. Simplify by gcd 6 to get 12/25. | fraction_operations |
5,318 | word_problems | easy | If you have 38 candies and you buy 18 more candies, how many candies do you have in total? | 56 | Add initial 38 plus bought 18: 38+18=56. | addition_word |
5,319 | arithmetic | easy | What is 21 * 83? | 1743 | Multiply: 21 * 83 = 1743. | basic_operations |
5,320 | arithmetic | easy | What is 709 - 542? | 167 | Subtract: 709 - 542 = 167. | basic_operations |
5,321 | algebra | easy | Solve for x: 8x + 6 = 78 | 9 | Subtract 6 from both sides: 8x = 78-6=72. Then divide by 8: x = 72/8 = 9. | linear_equation |
5,322 | word_problems | easy | If you have 21 candies and you buy 37 more candies, how many candies do you have in total? | 58 | Add initial 21 plus bought 37: 21+37=58. | addition_word |
5,323 | 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 |
5,324 | 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 |
5,325 | fractions | medium | What is 15/2 + 4/10? Give as simplified fraction. | 79/10 | Common denominator 2*10=20. 15/2=150/20, 4/10=8/20. Sum = 158/20 = 79/10 simplified. | fraction_operations |
5,326 | arithmetic | easy | What is 46 * 20? | 920 | Multiply: 46 * 20 = 920. | basic_operations |
5,327 | arithmetic | easy | What is 950 - 26? | 924 | Subtract: 950 - 26 = 924. | basic_operations |
5,328 | arithmetic | easy | What is 38 - 26? | 12 | Subtract: 38 - 26 = 12. | basic_operations |
5,329 | algebra | medium | Solve for x: x^2 + 14x + 48 = 0 | x = -6, -8 | Factor: (x - -6)(x - -8) = x^2 -(-14)x + 48 = 0. So x = -6 or -8. Check sum = -14, product = 48. | quadratic |
5,330 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
5,331 | word_problems | easy | If you have 89 apples and you buy 13 more apples, how many apples do you have in total? | 102 | Add initial 89 plus bought 13: 89+13=102. | addition_word |
5,332 | 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 |
5,333 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
5,334 | fractions | medium | What is 13/18 + 3/17? Give as simplified fraction. | 275/306 | Common denominator 18*17=306. 13/18=221/306, 3/17=54/306. Sum = 275/306 = 275/306 simplified. | fraction_operations |
5,335 | arithmetic | easy | What is 204 - 125? | 79 | Subtract: 204 - 125 = 79. | basic_operations |
5,336 | number_theory | medium | What is the LCM (least common multiple) of 91 and 20? | 1820 | LCM = |91*20| / GCD(91,20). GCD=1, so LCM=1820/1=1820. | lcm |
5,337 | algebra | medium | Solve for x: x^2 + 1x - 90 = 0 | x = -10, 9 | Factor: (x - -10)(x - 9) = x^2 -(-1)x + -90 = 0. So x = -10 or 9. Check sum = -1, product = -90. | quadratic |
5,338 | 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 |
5,339 | statistics | easy | What is the mean (average) of 45, 17, 93? | 51.67 | Mean = sum/count. Sum = 45+17+93=155. Count=3. Mean=155/3=51.67. | mean |
5,340 | number_theory | medium | What is the GCD (greatest common divisor) of 79 and 46? | 1 | Find greatest number dividing both 79 and 46. Divisors common, greatest is 1. | gcd |
5,341 | percentages | easy | What is 19% of 174? | 33.06 | Calculate 19/100 * 174 = 0.19*174 = 33.06. | percentages |
5,342 | algebra | easy | Solve for x: 15x - 21 = 264 | 19 | Add 21 to both sides: 15x = 264+21=285. Then x = 285/15 = 19. | linear_equation |
5,343 | fractions | medium | What is 17/7 - 1/11? Give as simplified fraction. | 180/77 | Common denominator 77. Numerator 187-7=180. So 180/77 simplifies to 180/77. | fraction_operations |
5,344 | statistics | easy | What is the mean (average) of 89, 29, 46, 29, 17? | 42 | Mean = sum/count. Sum = 89+29+46+29+17=210. Count=5. Mean=210/5=42.0. | mean |
5,345 | percentages | easy | What is 55% of 438? | 240.9 | Calculate 55/100 * 438 = 0.55*438 = 240.9. | percentages |
5,346 | arithmetic | easy | What is 520 - 359? | 161 | Subtract: 520 - 359 = 161. | basic_operations |
5,347 | arithmetic | easy | What is 565 + 1000? | 1565 | Add the two numbers: 565 + 1000 = 1565. | basic_operations |
5,348 | 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 |
5,349 | arithmetic | easy | What is 25641 / 99? | 259 | Divide: 25641 ÷ 99 = 259 because 99*259=25641. | division |
5,350 | calculus | medium | What is the derivative of 2x^2 with respect to x? | 4x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^2] = 2*2*x^1 = 4x. | derivative |
5,351 | arithmetic | easy | What is 504 + 128 * 20? Remember order of operations. | 3064 | Order of operations (PEMDAS): first 128*20=2560, then 504+2560=3064. | basic_operations |
5,352 | percentages | easy | What is 72% of 695? | 500.4 | Calculate 72/100 * 695 = 0.72*695 = 500.4. | percentages |
5,353 | algebra | medium | Solve for x: x^2 + 3x - 40 = 0 | x = -8, 5 | Factor: (x - -8)(x - 5) = x^2 -(-3)x + -40 = 0. So x = -8 or 5. Check sum = -3, product = -40. | quadratic |
5,354 | 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 |
5,355 | geometry | easy | Find the area of a triangle with base 34 and height 100. | 1700 | Area = 0.5*base*height = 0.5*34*100 = 1700. | triangle_area |
5,356 | 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 |
5,357 | 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 |
5,358 | geometry | easy | Find the perimeter of a rectangle with length 19 and width 27. | 92 | Perimeter = 2*(length+width) = 2*(19+27) = 2*46 = 92. | rectangle_perim |
5,359 | fractions | medium | What is 5/6 + 6/18? Give as simplified fraction. | 7/6 | Common denominator 6*18=108. 5/6=90/108, 6/18=36/108. Sum = 126/108 = 7/6 simplified. | fraction_operations |
5,360 | arithmetic | easy | What is 30576 / 98? | 312 | Divide: 30576 ÷ 98 = 312 because 98*312=30576. | division |
5,361 | algebra | easy | Solve for x: 12x + 21 = 213 | 16 | Subtract 21 from both sides: 12x = 213-21=192. Then divide by 12: x = 192/12 = 16. | linear_equation |
5,362 | algebra | easy | Solve for x: 6x - 28 = -16 | 2 | Add 28 to both sides: 6x = -16+28=12. Then x = 12/6 = 2. | linear_equation |
5,363 | 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 |
5,364 | algebra | medium | Solve for x: x^2 - 9x = 0 | x = 9, 0 | Factor: (x - 9)(x - 0) = x^2 -(9)x + 0 = 0. So x = 9 or 0. Check sum = 9, product = 0. | quadratic |
5,365 | fractions | medium | What is 12/3 * 13/9? Give as simplified fraction. | 52/9 | Multiply numerators: 12*13=156. Denominators: 3*9=27. Simplify by gcd 3 to get 52/9. | fraction_operations |
5,366 | statistics | easy | What is the mean (average) of 9, 83, 15? | 35.67 | Mean = sum/count. Sum = 9+83+15=107. Count=3. Mean=107/3=35.67. | mean |
5,367 | arithmetic | easy | What is 407 + 279 * 88? Remember order of operations. | 24959 | Order of operations (PEMDAS): first 279*88=24552, then 407+24552=24959. | basic_operations |
5,368 | percentages | easy | What is 1% of 498? | 4.98 | Calculate 1/100 * 498 = 0.01*498 = 4.98. | percentages |
5,369 | 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 |
5,370 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
5,371 | algebra | easy | Solve for x: 1x + 34 = 18 | -16 | Subtract 34 from both sides: 1x = 18-34=-16. Then divide by 1: x = -16/1 = -16. | linear_equation |
5,372 | percentages | easy | What is 100% of 395? | 395 | Calculate 100/100 * 395 = 1.0*395 = 395. | percentages |
5,373 | algebra | medium | Solve for x: x^2 + 7x - 18 = 0 | x = 2, -9 | Factor: (x - 2)(x - -9) = x^2 -(-7)x + -18 = 0. So x = 2 or -9. Check sum = -7, product = -18. | quadratic |
5,374 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
5,375 | percentages | easy | What is 74% of 849? | 628.26 | Calculate 74/100 * 849 = 0.74*849 = 628.26. | percentages |
5,376 | statistics | easy | What is the mean (average) of 47, 50, 9, 41, 94? | 48.2 | Mean = sum/count. Sum = 47+50+9+41+94=241. Count=5. Mean=241/5=48.2. | mean |
5,377 | geometry | easy | Find the circumference of a circle with radius 3. Use pi=3.14159, round to 2 decimals. | 18.85 | Circumference = 2*pi*r = 2*3.14159*3 = 18.85. | circle_circum |
5,378 | number_theory | medium | What is the GCD (greatest common divisor) of 41 and 33? | 1 | Find greatest number dividing both 41 and 33. Divisors common, greatest is 1. | gcd |
5,379 | algebra | medium | Solve for x: x^2 - 2x - 80 = 0 | x = 10, -8 | Factor: (x - 10)(x - -8) = x^2 -(2)x + -80 = 0. So x = 10 or -8. Check sum = 2, product = -80. | quadratic |
5,380 | number_theory | medium | What is the LCM (least common multiple) of 12 and 55? | 660 | LCM = |12*55| / GCD(12,55). GCD=1, so LCM=660/1=660. | lcm |
5,381 | arithmetic | easy | What is 44 * 43? | 1892 | Multiply: 44 * 43 = 1892. | basic_operations |
5,382 | arithmetic | easy | What is 584 + 956? | 1540 | Add the two numbers: 584 + 956 = 1540. | basic_operations |
5,383 | calculus | medium | What is the derivative of 4x^6 with respect to x? | 24x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^6] = 4*6*x^5 = 24x^5. | derivative |
5,384 | 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 |
5,385 | statistics | easy | What is the mean (average) of 24, 8, 62, 1? | 23.75 | Mean = sum/count. Sum = 24+8+62+1=95. Count=4. Mean=95/4=23.75. | mean |
5,386 | algebra | easy | Solve for x: 1x - 18 = -28 | -10 | Add 18 to both sides: 1x = -28+18=-10. Then x = -10/1 = -10. | linear_equation |
5,387 | 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 |
5,388 | arithmetic | easy | What is 638 + 73 * 84? Remember order of operations. | 6770 | Order of operations (PEMDAS): first 73*84=6132, then 638+6132=6770. | basic_operations |
5,389 | arithmetic | easy | What is 154 + 315? | 469 | Add the two numbers: 154 + 315 = 469. | basic_operations |
5,390 | 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 |
5,391 | calculus | medium | What is the derivative of 9x^5 with respect to x? | 45x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^5] = 9*5*x^4 = 45x^4. | derivative |
5,392 | word_problems | easy | If you have 56 pencils and you buy 3 more pencils, how many pencils do you have in total? | 59 | Add initial 56 plus bought 3: 56+3=59. | addition_word |
5,393 | statistics | easy | What is the mean (average) of 10, 22, 55? | 29 | Mean = sum/count. Sum = 10+22+55=87. Count=3. Mean=87/3=29.0. | mean |
5,394 | statistics | easy | What is the mean (average) of 30, 11, 78, 99? | 54.5 | Mean = sum/count. Sum = 30+11+78+99=218. Count=4. Mean=218/4=54.5. | mean |
5,395 | algebra | medium | Solve for x: x^2 + 2x - 24 = 0 | x = -6, 4 | Factor: (x - -6)(x - 4) = x^2 -(-2)x + -24 = 0. So x = -6 or 4. Check sum = -2, product = -24. | quadratic |
5,396 | calculus | medium | What is the derivative of 1x^7 with respect to x? | 7x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^7] = 1*7*x^6 = 7x^6. | derivative |
5,397 | word_problems | easy | If you have 48 pencils and you buy 45 more pencils, how many pencils do you have in total? | 93 | Add initial 48 plus bought 45: 48+45=93. | addition_word |
5,398 | statistics | easy | What is the mean (average) of 70, 54, 46, 31, 82? | 56.6 | Mean = sum/count. Sum = 70+54+46+31+82=283. Count=5. Mean=283/5=56.6. | mean |
5,399 | fractions | medium | What is 19/11 * 7/5? Give as simplified fraction. | 133/55 | Multiply numerators: 19*7=133. Denominators: 11*5=55. Simplify by gcd 1 to get 133/55. | fraction_operations |
5,400 | arithmetic | easy | What is 789 - 646? | 143 | Subtract: 789 - 646 = 143. | basic_operations |
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