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 |
|---|---|---|---|---|---|---|
8,801 | algebra | easy | Solve for x: 3x + 35 = 14 | -7 | Subtract 35 from both sides: 3x = 14-35=-21. Then divide by 3: x = -21/3 = -7. | linear_equation |
8,802 | fractions | medium | What is 11/14 + 18/8? Give as simplified fraction. | 85/28 | Common denominator 14*8=112. 11/14=88/112, 18/8=252/112. Sum = 340/112 = 85/28 simplified. | fraction_operations |
8,803 | word_problems | easy | If you have 24 candies and you buy 15 more candies, how many candies do you have in total? | 39 | Add initial 24 plus bought 15: 24+15=39. | addition_word |
8,804 | calculus | medium | What is the derivative of 1x^5 with respect to x? | 5x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^5] = 1*5*x^4 = 5x^4. | derivative |
8,805 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
8,806 | arithmetic | easy | What is 12 + 879? | 891 | Add the two numbers: 12 + 879 = 891. | basic_operations |
8,807 | arithmetic | easy | What is 634 + 118 * 65? Remember order of operations. | 8304 | Order of operations (PEMDAS): first 118*65=7670, then 634+7670=8304. | basic_operations |
8,808 | roots | easy | What is the square root of 4? | 2 | Find number that when squared gives 4. 2*2=4, so sqrt(4)=2. | square_roots |
8,809 | arithmetic | easy | What is 11840 / 32? | 370 | Divide: 11840 ÷ 32 = 370 because 32*370=11840. | division |
8,810 | arithmetic | easy | What is 909 - 782? | 127 | Subtract: 909 - 782 = 127. | basic_operations |
8,811 | geometry | easy | Find the area of a triangle with base 48 and height 56. | 1344 | Area = 0.5*base*height = 0.5*48*56 = 1344. | triangle_area |
8,812 | arithmetic | easy | What is 982 - 505? | 477 | Subtract: 982 - 505 = 477. | basic_operations |
8,813 | statistics | easy | What is the mean (average) of 45, 8, 92, 64? | 52.25 | Mean = sum/count. Sum = 45+8+92+64=209. Count=4. Mean=209/4=52.25. | mean |
8,814 | word_problems | easy | If you have 49 books and you buy 49 more books, how many books do you have in total? | 98 | Add initial 49 plus bought 49: 49+49=98. | addition_word |
8,815 | number_theory | medium | What is the LCM (least common multiple) of 91 and 84? | 1092 | LCM = |91*84| / GCD(91,84). GCD=7, so LCM=7644/7=1092. | lcm |
8,816 | algebra | easy | Solve for x: 8x - 41 = -9 | 4 | Add 41 to both sides: 8x = -9+41=32. Then x = 32/8 = 4. | linear_equation |
8,817 | fractions | medium | What is 4/14 * 1/8? Give as simplified fraction. | 1/28 | Multiply numerators: 4*1=4. Denominators: 14*8=112. Simplify by gcd 4 to get 1/28. | fraction_operations |
8,818 | statistics | easy | What is the mean (average) of 65, 94, 10, 12, 84? | 53 | Mean = sum/count. Sum = 65+94+10+12+84=265. Count=5. Mean=265/5=53.0. | mean |
8,819 | arithmetic | easy | What is 790 - 324? | 466 | Subtract: 790 - 324 = 466. | basic_operations |
8,820 | arithmetic | easy | What is 79 * 49? | 3871 | Multiply: 79 * 49 = 3871. | basic_operations |
8,821 | fractions | medium | What is 2/15 + 13/16? Give as simplified fraction. | 227/240 | Common denominator 15*16=240. 2/15=32/240, 13/16=195/240. Sum = 227/240 = 227/240 simplified. | fraction_operations |
8,822 | arithmetic | easy | What is 609 - 354? | 255 | Subtract: 609 - 354 = 255. | basic_operations |
8,823 | 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 |
8,824 | percentages | easy | What is 92% of 141? | 129.72 | Calculate 92/100 * 141 = 0.92*141 = 129.72. | percentages |
8,825 | percentages | easy | What is 28% of 707? | 197.96 | Calculate 28/100 * 707 = 0.28*707 = 197.96. | percentages |
8,826 | word_problems | easy | If you have 12 candies and you buy 2 more candies, how many candies do you have in total? | 14 | Add initial 12 plus bought 2: 12+2=14. | addition_word |
8,827 | arithmetic | easy | What is 33853 / 97? | 349 | Divide: 33853 ÷ 97 = 349 because 97*349=33853. | division |
8,828 | arithmetic | easy | What is 594 - 508? | 86 | Subtract: 594 - 508 = 86. | basic_operations |
8,829 | 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 |
8,830 | percentages | easy | What is 24% of 222? | 53.28 | Calculate 24/100 * 222 = 0.24*222 = 53.28. | percentages |
8,831 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
8,832 | calculus | medium | What is the derivative of 9x^4 with respect to x? | 36x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^4] = 9*4*x^3 = 36x^3. | derivative |
8,833 | statistics | easy | What is the mean (average) of 37, 90, 70, 89? | 71.5 | Mean = sum/count. Sum = 37+90+70+89=286. Count=4. Mean=286/4=71.5. | mean |
8,834 | fractions | medium | What is 20/7 - 8/16? Give as simplified fraction. | 33/14 | Common denominator 112. Numerator 320-56=264. So 264/112 simplifies to 33/14. | fraction_operations |
8,835 | arithmetic | easy | What is 861 + 592 * 64? Remember order of operations. | 38749 | Order of operations (PEMDAS): first 592*64=37888, then 861+37888=38749. | basic_operations |
8,836 | roots | easy | What is the square root of 1225? | 35 | Find number that when squared gives 1225. 35*35=1225, so sqrt(1225)=35. | square_roots |
8,837 | algebra | easy | Solve for x: 12x + 20 = 32 | 1 | Subtract 20 from both sides: 12x = 32-20=12. Then divide by 12: x = 12/12 = 1. | linear_equation |
8,838 | geometry | easy | Find the area of a circle with radius 21. Use pi=3.14159, round to 2 decimals. | 1385.44 | Area = pi*r^2 = 3.14159*21^2 = 3.14159*441 = 1385.44. | circle_area |
8,839 | arithmetic | easy | What is 9222 / 29? | 318 | Divide: 9222 ÷ 29 = 318 because 29*318=9222. | division |
8,840 | 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 |
8,841 | arithmetic | easy | What is 22 * 100? | 2200 | Multiply: 22 * 100 = 2200. | basic_operations |
8,842 | 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 |
8,843 | fractions | medium | What is 18/17 * 7/14? Give as simplified fraction. | 9/17 | Multiply numerators: 18*7=126. Denominators: 17*14=238. Simplify by gcd 14 to get 9/17. | fraction_operations |
8,844 | fractions | medium | What is 5/9 + 18/2? Give as simplified fraction. | 86/9 | Common denominator 9*2=18. 5/9=10/18, 18/2=162/18. Sum = 172/18 = 86/9 simplified. | fraction_operations |
8,845 | geometry | easy | Find the perimeter of a rectangle with length 53 and width 33. | 172 | Perimeter = 2*(length+width) = 2*(53+33) = 2*86 = 172. | rectangle_perim |
8,846 | word_problems | easy | If you have 51 dollars and you buy 34 more dollars, how many dollars do you have in total? | 85 | Add initial 51 plus bought 34: 51+34=85. | addition_word |
8,847 | 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 |
8,848 | geometry | easy | Find the area of a triangle with base 56 and height 95. | 2660 | Area = 0.5*base*height = 0.5*56*95 = 2660. | triangle_area |
8,849 | statistics | easy | What is the mean (average) of 35, 13, 51, 30, 63? | 38.4 | Mean = sum/count. Sum = 35+13+51+30+63=192. Count=5. Mean=192/5=38.4. | mean |
8,850 | arithmetic | easy | What is 134 + 40 * 52? Remember order of operations. | 2214 | Order of operations (PEMDAS): first 40*52=2080, then 134+2080=2214. | basic_operations |
8,851 | roots | easy | What is the square root of 529? | 23 | Find number that when squared gives 529. 23*23=529, so sqrt(529)=23. | square_roots |
8,852 | algebra | medium | Solve for x: x^2 - 12x + 32 = 0 | x = 8, 4 | Factor: (x - 8)(x - 4) = x^2 -(12)x + 32 = 0. So x = 8 or 4. Check sum = 12, product = 32. | quadratic |
8,853 | statistics | easy | What is the mean (average) of 5, 16, 34, 46? | 25.25 | Mean = sum/count. Sum = 5+16+34+46=101. Count=4. Mean=101/4=25.25. | mean |
8,854 | exponents | easy | What is 2^2? | 4 | 2^2 means multiply 2 by itself 2 times: 2*2 = 4. | exponents |
8,855 | arithmetic | easy | What is 38606 / 97? | 398 | Divide: 38606 ÷ 97 = 398 because 97*398=38606. | division |
8,856 | arithmetic | easy | What is 15 * 91? | 1365 | Multiply: 15 * 91 = 1365. | basic_operations |
8,857 | fractions | medium | What is 13/4 * 3/15? Give as simplified fraction. | 13/20 | Multiply numerators: 13*3=39. Denominators: 4*15=60. Simplify by gcd 3 to get 13/20. | fraction_operations |
8,858 | 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 |
8,859 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
8,860 | fractions | medium | What is 13/4 * 3/18? Give as simplified fraction. | 13/24 | Multiply numerators: 13*3=39. Denominators: 4*18=72. Simplify by gcd 3 to get 13/24. | fraction_operations |
8,861 | 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 |
8,862 | 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 |
8,863 | 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 |
8,864 | geometry | easy | Find the circumference of a circle with radius 23. Use pi=3.14159, round to 2 decimals. | 144.51 | Circumference = 2*pi*r = 2*3.14159*23 = 144.51. | circle_circum |
8,865 | geometry | easy | Find the perimeter of a rectangle with length 95 and width 51. | 292 | Perimeter = 2*(length+width) = 2*(95+51) = 2*146 = 292. | rectangle_perim |
8,866 | percentages | easy | What is 49% of 519? | 254.31 | Calculate 49/100 * 519 = 0.49*519 = 254.31. | percentages |
8,867 | geometry | easy | Find the perimeter of a rectangle with length 64 and width 58. | 244 | Perimeter = 2*(length+width) = 2*(64+58) = 2*122 = 244. | rectangle_perim |
8,868 | arithmetic | easy | What is 274 + 827 * 4? Remember order of operations. | 3582 | Order of operations (PEMDAS): first 827*4=3308, then 274+3308=3582. | basic_operations |
8,869 | 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 |
8,870 | 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 |
8,871 | number_theory | medium | What is the LCM (least common multiple) of 87 and 53? | 4611 | LCM = |87*53| / GCD(87,53). GCD=1, so LCM=4611/1=4611. | lcm |
8,872 | arithmetic | easy | What is 10 + 237 * 1? Remember order of operations. | 247 | Order of operations (PEMDAS): first 237*1=237, then 10+237=247. | basic_operations |
8,873 | 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 |
8,874 | algebra | easy | Solve for x: 5x + 13 = -42 | -11 | Subtract 13 from both sides: 5x = -42-13=-55. Then divide by 5: x = -55/5 = -11. | linear_equation |
8,875 | percentages | easy | What is 67% of 386? | 258.62 | Calculate 67/100 * 386 = 0.67*386 = 258.62. | percentages |
8,876 | statistics | easy | What is the mean (average) of 88, 17, 89, 13? | 51.75 | Mean = sum/count. Sum = 88+17+89+13=207. Count=4. Mean=207/4=51.75. | mean |
8,877 | word_problems | easy | If you have 100 candies and you buy 14 more candies, how many candies do you have in total? | 114 | Add initial 100 plus bought 14: 100+14=114. | addition_word |
8,878 | percentages | easy | What is 69% of 377? | 260.13 | Calculate 69/100 * 377 = 0.69*377 = 260.13. | percentages |
8,879 | arithmetic | easy | What is 81 + 58 * 42? Remember order of operations. | 2517 | Order of operations (PEMDAS): first 58*42=2436, then 81+2436=2517. | basic_operations |
8,880 | fractions | medium | What is 9/2 + 20/20? Give as simplified fraction. | 11/2 | Common denominator 2*20=40. 9/2=180/40, 20/20=40/40. Sum = 220/40 = 11/2 simplified. | fraction_operations |
8,881 | 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 |
8,882 | number_theory | medium | What is the GCD (greatest common divisor) of 5 and 70? | 5 | Find greatest number dividing both 5 and 70. Divisors common, greatest is 5. | gcd |
8,883 | arithmetic | easy | What is 422 - 194? | 228 | Subtract: 422 - 194 = 228. | basic_operations |
8,884 | arithmetic | easy | What is 33 + 72 * 68? Remember order of operations. | 4929 | Order of operations (PEMDAS): first 72*68=4896, then 33+4896=4929. | basic_operations |
8,885 | statistics | easy | What is the mean (average) of 5, 2, 89, 54? | 37.5 | Mean = sum/count. Sum = 5+2+89+54=150. Count=4. Mean=150/4=37.5. | mean |
8,886 | algebra | medium | Solve for x: x^2 - 13x + 40 = 0 | x = 5, 8 | Factor: (x - 5)(x - 8) = x^2 -(13)x + 40 = 0. So x = 5 or 8. Check sum = 13, product = 40. | quadratic |
8,887 | 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 |
8,888 | 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 |
8,889 | arithmetic | easy | What is 17056 / 41? | 416 | Divide: 17056 ÷ 41 = 416 because 41*416=17056. | division |
8,890 | geometry | easy | Find the area of a circle with radius 40. Use pi=3.14159, round to 2 decimals. | 5026.55 | Area = pi*r^2 = 3.14159*40^2 = 3.14159*1600 = 5026.55. | circle_area |
8,891 | 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 |
8,892 | roots | easy | What is the square root of 361? | 19 | Find number that when squared gives 361. 19*19=361, so sqrt(361)=19. | square_roots |
8,893 | algebra | easy | Solve for x: 3x + 44 = 74 | 10 | Subtract 44 from both sides: 3x = 74-44=30. Then divide by 3: x = 30/3 = 10. | linear_equation |
8,894 | number_theory | medium | What is the LCM (least common multiple) of 56 and 17? | 952 | LCM = |56*17| / GCD(56,17). GCD=1, so LCM=952/1=952. | lcm |
8,895 | roots | easy | What is the square root of 121? | 11 | Find number that when squared gives 121. 11*11=121, so sqrt(121)=11. | square_roots |
8,896 | arithmetic | easy | What is 991 - 13? | 978 | Subtract: 991 - 13 = 978. | basic_operations |
8,897 | arithmetic | easy | What is 664 - 458? | 206 | Subtract: 664 - 458 = 206. | basic_operations |
8,898 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
8,899 | percentages | easy | What is 41% of 691? | 283.31 | Calculate 41/100 * 691 = 0.41*691 = 283.31. | percentages |
8,900 | arithmetic | easy | What is 19710 / 54? | 365 | Divide: 19710 ÷ 54 = 365 because 54*365=19710. | division |
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