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 |
|---|---|---|---|---|---|---|
9,801 | statistics | easy | What is the mean (average) of 100, 10, 91, 67? | 67 | Mean = sum/count. Sum = 100+10+91+67=268. Count=4. Mean=268/4=67.0. | mean |
9,802 | statistics | easy | What is the mean (average) of 71, 59, 63, 55, 61? | 61.8 | Mean = sum/count. Sum = 71+59+63+55+61=309. Count=5. Mean=309/5=61.8. | mean |
9,803 | word_problems | easy | If you have 52 books and you buy 5 more books, how many books do you have in total? | 57 | Add initial 52 plus bought 5: 52+5=57. | addition_word |
9,804 | statistics | easy | What is the mean (average) of 85, 10, 17, 28? | 35 | Mean = sum/count. Sum = 85+10+17+28=140. Count=4. Mean=140/4=35.0. | mean |
9,805 | arithmetic | easy | What is 546 + 995? | 1541 | Add the two numbers: 546 + 995 = 1541. | basic_operations |
9,806 | algebra | medium | Solve for x: x^2 + 11x + 18 = 0 | x = -9, -2 | Factor: (x - -9)(x - -2) = x^2 -(-11)x + 18 = 0. So x = -9 or -2. Check sum = -11, product = 18. | quadratic |
9,807 | statistics | easy | What is the mean (average) of 5, 36, 47? | 29.33 | Mean = sum/count. Sum = 5+36+47=88. Count=3. Mean=88/3=29.33. | mean |
9,808 | arithmetic | easy | What is 10010 / 77? | 130 | Divide: 10010 ÷ 77 = 130 because 77*130=10010. | division |
9,809 | 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 |
9,810 | arithmetic | easy | What is 29 + 36 * 59? Remember order of operations. | 2153 | Order of operations (PEMDAS): first 36*59=2124, then 29+2124=2153. | basic_operations |
9,811 | arithmetic | easy | What is 52 * 100? | 5200 | Multiply: 52 * 100 = 5200. | basic_operations |
9,812 | arithmetic | easy | What is 254 + 642? | 896 | Add the two numbers: 254 + 642 = 896. | basic_operations |
9,813 | statistics | easy | What is the mean (average) of 66, 43, 80, 25? | 53.5 | Mean = sum/count. Sum = 66+43+80+25=214. Count=4. Mean=214/4=53.5. | mean |
9,814 | arithmetic | easy | What is 27700 / 100? | 277 | Divide: 27700 ÷ 100 = 277 because 100*277=27700. | division |
9,815 | percentages | easy | What is 85% of 401? | 340.85 | Calculate 85/100 * 401 = 0.85*401 = 340.85. | percentages |
9,816 | algebra | easy | Solve for x: 2x - 4 = -10 | -3 | Add 4 to both sides: 2x = -10+4=-6. Then x = -6/2 = -3. | linear_equation |
9,817 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
9,818 | percentages | easy | What is 75% of 188? | 141 | Calculate 75/100 * 188 = 0.75*188 = 141. | percentages |
9,819 | word_problems | easy | If you have 15 pencils and you buy 44 more pencils, how many pencils do you have in total? | 59 | Add initial 15 plus bought 44: 15+44=59. | addition_word |
9,820 | 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 |
9,821 | arithmetic | easy | What is 41 * 54? | 2214 | Multiply: 41 * 54 = 2214. | basic_operations |
9,822 | arithmetic | easy | What is 144 - 56? | 88 | Subtract: 144 - 56 = 88. | basic_operations |
9,823 | arithmetic | easy | What is 787 - 364? | 423 | Subtract: 787 - 364 = 423. | basic_operations |
9,824 | geometry | easy | Find the perimeter of a rectangle with length 8 and width 88. | 192 | Perimeter = 2*(length+width) = 2*(8+88) = 2*96 = 192. | rectangle_perim |
9,825 | number_theory | medium | What is the LCM (least common multiple) of 46 and 88? | 2024 | LCM = |46*88| / GCD(46,88). GCD=2, so LCM=4048/2=2024. | lcm |
9,826 | roots | easy | What is the square root of 2401? | 49 | Find number that when squared gives 2401. 49*49=2401, so sqrt(2401)=49. | square_roots |
9,827 | percentages | easy | What is 87% of 328? | 285.36 | Calculate 87/100 * 328 = 0.87*328 = 285.36. | percentages |
9,828 | geometry | easy | Find the area of a circle with radius 49. Use pi=3.14159, round to 2 decimals. | 7542.96 | Area = pi*r^2 = 3.14159*49^2 = 3.14159*2401 = 7542.96. | circle_area |
9,829 | arithmetic | easy | What is 76 * 87? | 6612 | Multiply: 76 * 87 = 6612. | basic_operations |
9,830 | word_problems | easy | If you have 94 pencils and you buy 33 more pencils, how many pencils do you have in total? | 127 | Add initial 94 plus bought 33: 94+33=127. | addition_word |
9,831 | algebra | medium | Solve for x: x^2 - 4x - 60 = 0 | x = 10, -6 | Factor: (x - 10)(x - -6) = x^2 -(4)x + -60 = 0. So x = 10 or -6. Check sum = 4, product = -60. | quadratic |
9,832 | arithmetic | easy | What is 46926 / 99? | 474 | Divide: 46926 ÷ 99 = 474 because 99*474=46926. | division |
9,833 | word_problems | easy | If you have 22 apples and you buy 44 more apples, how many apples do you have in total? | 66 | Add initial 22 plus bought 44: 22+44=66. | addition_word |
9,834 | geometry | easy | Find the area of a rectangle with length 99 and width 97. | 9603 | Area = length * width = 99*97 = 9603. | rectangle_area |
9,835 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
9,836 | arithmetic | easy | What is 3648 / 24? | 152 | Divide: 3648 ÷ 24 = 152 because 24*152=3648. | division |
9,837 | word_problems | easy | If you have 51 candies and you buy 43 more candies, how many candies do you have in total? | 94 | Add initial 51 plus bought 43: 51+43=94. | addition_word |
9,838 | arithmetic | easy | What is 914 + 967? | 1881 | Add the two numbers: 914 + 967 = 1881. | basic_operations |
9,839 | arithmetic | easy | What is 55 * 53? | 2915 | Multiply: 55 * 53 = 2915. | basic_operations |
9,840 | 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 |
9,841 | geometry | easy | Find the perimeter of a rectangle with length 56 and width 17. | 146 | Perimeter = 2*(length+width) = 2*(56+17) = 2*73 = 146. | rectangle_perim |
9,842 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
9,843 | arithmetic | easy | What is 54 + 61 * 73? Remember order of operations. | 4507 | Order of operations (PEMDAS): first 61*73=4453, then 54+4453=4507. | basic_operations |
9,844 | arithmetic | easy | What is 515 - 121? | 394 | Subtract: 515 - 121 = 394. | basic_operations |
9,845 | percentages | easy | What is 32% of 161? | 51.52 | Calculate 32/100 * 161 = 0.32*161 = 51.52. | percentages |
9,846 | roots | easy | What is the square root of 900? | 30 | Find number that when squared gives 900. 30*30=900, so sqrt(900)=30. | square_roots |
9,847 | arithmetic | easy | What is 710 + 293 * 85? Remember order of operations. | 25615 | Order of operations (PEMDAS): first 293*85=24905, then 710+24905=25615. | basic_operations |
9,848 | arithmetic | easy | What is 475 - 251? | 224 | Subtract: 475 - 251 = 224. | basic_operations |
9,849 | 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 |
9,850 | statistics | easy | What is the mean (average) of 33, 77, 87, 8, 97? | 60.4 | Mean = sum/count. Sum = 33+77+87+8+97=302. Count=5. Mean=302/5=60.4. | mean |
9,851 | fractions | medium | What is 2/10 + 8/18? Give as simplified fraction. | 29/45 | Common denominator 10*18=180. 2/10=36/180, 8/18=80/180. Sum = 116/180 = 29/45 simplified. | fraction_operations |
9,852 | word_problems | easy | If you have 61 pencils and you buy 40 more pencils, how many pencils do you have in total? | 101 | Add initial 61 plus bought 40: 61+40=101. | addition_word |
9,853 | algebra | easy | Solve for x: 9x + 1 = 145 | 16 | Subtract 1 from both sides: 9x = 145-1=144. Then divide by 9: x = 144/9 = 16. | linear_equation |
9,854 | algebra | medium | Solve for x: x^2 - 3x - 4 = 0 | x = -1, 4 | Factor: (x - -1)(x - 4) = x^2 -(3)x + -4 = 0. So x = -1 or 4. Check sum = 3, product = -4. | quadratic |
9,855 | arithmetic | easy | What is 290 + 876 * 68? Remember order of operations. | 59858 | Order of operations (PEMDAS): first 876*68=59568, then 290+59568=59858. | basic_operations |
9,856 | fractions | medium | What is 2/4 - 17/15? Give as simplified fraction. | -19/30 | Common denominator 60. Numerator 30-68=-38. So -38/60 simplifies to -19/30. | fraction_operations |
9,857 | percentages | easy | What is 18% of 254? | 45.72 | Calculate 18/100 * 254 = 0.18*254 = 45.72. | percentages |
9,858 | arithmetic | easy | What is 49 + 48 * 46? Remember order of operations. | 2257 | Order of operations (PEMDAS): first 48*46=2208, then 49+2208=2257. | basic_operations |
9,859 | arithmetic | easy | What is 5474 / 23? | 238 | Divide: 5474 ÷ 23 = 238 because 23*238=5474. | division |
9,860 | statistics | easy | What is the mean (average) of 3, 32, 35? | 23.33 | Mean = sum/count. Sum = 3+32+35=70. Count=3. Mean=70/3=23.33. | mean |
9,861 | percentages | easy | What is 98% of 472? | 462.56 | Calculate 98/100 * 472 = 0.98*472 = 462.56. | percentages |
9,862 | geometry | easy | Find the perimeter of a rectangle with length 94 and width 20. | 228 | Perimeter = 2*(length+width) = 2*(94+20) = 2*114 = 228. | rectangle_perim |
9,863 | number_theory | medium | What is the LCM (least common multiple) of 49 and 88? | 4312 | LCM = |49*88| / GCD(49,88). GCD=1, so LCM=4312/1=4312. | lcm |
9,864 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
9,865 | fractions | medium | What is 13/6 * 11/4? Give as simplified fraction. | 143/24 | Multiply numerators: 13*11=143. Denominators: 6*4=24. Simplify by gcd 1 to get 143/24. | fraction_operations |
9,866 | algebra | easy | Solve for x: 7x - 35 = -147 | -16 | Add 35 to both sides: 7x = -147+35=-112. Then x = -112/7 = -16. | linear_equation |
9,867 | 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 |
9,868 | arithmetic | easy | What is 2905 / 83? | 35 | Divide: 2905 ÷ 83 = 35 because 83*35=2905. | division |
9,869 | algebra | easy | Solve for x: 1x - 2 = -22 | -20 | Add 2 to both sides: 1x = -22+2=-20. Then x = -20/1 = -20. | linear_equation |
9,870 | statistics | easy | What is the mean (average) of 32, 95, 52? | 59.67 | Mean = sum/count. Sum = 32+95+52=179. Count=3. Mean=179/3=59.67. | mean |
9,871 | fractions | medium | What is 2/3 + 12/6? Give as simplified fraction. | 8/3 | Common denominator 3*6=18. 2/3=12/18, 12/6=36/18. Sum = 48/18 = 8/3 simplified. | fraction_operations |
9,872 | arithmetic | easy | What is 692 + 317? | 1009 | Add the two numbers: 692 + 317 = 1009. | basic_operations |
9,873 | 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 |
9,874 | word_problems | easy | If you have 88 dollars and you buy 16 more dollars, how many dollars do you have in total? | 104 | Add initial 88 plus bought 16: 88+16=104. | addition_word |
9,875 | fractions | medium | What is 18/10 - 5/12? Give as simplified fraction. | 83/60 | Common denominator 120. Numerator 216-50=166. So 166/120 simplifies to 83/60. | fraction_operations |
9,876 | arithmetic | easy | What is 7259 / 17? | 427 | Divide: 7259 ÷ 17 = 427 because 17*427=7259. | division |
9,877 | 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 |
9,878 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
9,879 | 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 |
9,880 | arithmetic | easy | What is 547 + 282 * 43? Remember order of operations. | 12673 | Order of operations (PEMDAS): first 282*43=12126, then 547+12126=12673. | basic_operations |
9,881 | 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 |
9,882 | algebra | easy | Solve for x: 13x + 17 = -139 | -12 | Subtract 17 from both sides: 13x = -139-17=-156. Then divide by 13: x = -156/13 = -12. | linear_equation |
9,883 | number_theory | medium | What is the GCD (greatest common divisor) of 8 and 69? | 1 | Find greatest number dividing both 8 and 69. Divisors common, greatest is 1. | gcd |
9,884 | geometry | easy | Find the area of a triangle with base 75 and height 85. | 3187.5 | Area = 0.5*base*height = 0.5*75*85 = 3187.5. | triangle_area |
9,885 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
9,886 | fractions | medium | What is 5/8 - 12/19? Give as simplified fraction. | -1/152 | Common denominator 152. Numerator 95-96=-1. So -1/152 simplifies to -1/152. | fraction_operations |
9,887 | percentages | easy | What is 45% of 524? | 235.8 | Calculate 45/100 * 524 = 0.45*524 = 235.8. | percentages |
9,888 | arithmetic | easy | What is 81 * 43? | 3483 | Multiply: 81 * 43 = 3483. | basic_operations |
9,889 | algebra | medium | Solve for x: x^2 - 12x + 36 = 0 | x = 6 | Factor as (x - 6)^2 = 0, so root is 6 (double root). Sum of roots = 12, product = 36. | quadratic |
9,890 | arithmetic | easy | What is 345 + 29 * 64? Remember order of operations. | 2201 | Order of operations (PEMDAS): first 29*64=1856, then 345+1856=2201. | basic_operations |
9,891 | statistics | easy | What is the mean (average) of 86, 66, 12, 75, 88? | 65.4 | Mean = sum/count. Sum = 86+66+12+75+88=327. Count=5. Mean=327/5=65.4. | mean |
9,892 | word_problems | easy | If you have 32 dollars and you buy 24 more dollars, how many dollars do you have in total? | 56 | Add initial 32 plus bought 24: 32+24=56. | addition_word |
9,893 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
9,894 | algebra | medium | Solve for x: x^2 - 3x - 10 = 0 | x = -2, 5 | Factor: (x - -2)(x - 5) = x^2 -(3)x + -10 = 0. So x = -2 or 5. Check sum = 3, product = -10. | quadratic |
9,895 | statistics | easy | What is the mean (average) of 62, 33, 37, 100? | 58 | Mean = sum/count. Sum = 62+33+37+100=232. Count=4. Mean=232/4=58.0. | mean |
9,896 | geometry | easy | Find the area of a triangle with base 50 and height 34. | 850 | Area = 0.5*base*height = 0.5*50*34 = 850. | triangle_area |
9,897 | percentages | easy | What is 5% of 314? | 15.7 | Calculate 5/100 * 314 = 0.05*314 = 15.7. | percentages |
9,898 | 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 |
9,899 | arithmetic | easy | What is 446 - 50? | 396 | Subtract: 446 - 50 = 396. | basic_operations |
9,900 | algebra | easy | Solve for x: 13x - 12 = 170 | 14 | Add 12 to both sides: 13x = 170+12=182. Then x = 182/13 = 14. | linear_equation |
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