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 |
|---|---|---|---|---|---|---|
732,801 | fractions | medium | What is 13/14 * 20/11? Give as simplified fraction. | 130/77 | Multiply numerators: 13*20=260. Denominators: 14*11=154. Simplify by gcd 2 to get 130/77. | fraction_operations |
732,802 | algebra | easy | Solve for x: 13x - 6 = 241 | 19 | Add 6 to both sides: 13x = 241+6=247. Then x = 247/13 = 19. | linear_equation |
732,803 | fractions | medium | What is 16/18 * 15/5? Give as simplified fraction. | 8/3 | Multiply numerators: 16*15=240. Denominators: 18*5=90. Simplify by gcd 30 to get 8/3. | fraction_operations |
732,804 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
732,805 | statistics | easy | What is the mean (average) of 75, 75, 94, 26, 55? | 65 | Mean = sum/count. Sum = 75+75+94+26+55=325. Count=5. Mean=325/5=65.0. | mean |
732,806 | percentages | easy | What is 8% of 407? | 32.56 | Calculate 8/100 * 407 = 0.08*407 = 32.56. | percentages |
732,807 | percentages | easy | What is 70% of 855? | 598.5 | Calculate 70/100 * 855 = 0.7*855 = 598.5. | percentages |
732,808 | word_problems | easy | If you have 85 apples and you buy 40 more apples, how many apples do you have in total? | 125 | Add initial 85 plus bought 40: 85+40=125. | addition_word |
732,809 | arithmetic | easy | What is 818 - 102? | 716 | Subtract: 818 - 102 = 716. | basic_operations |
732,810 | algebra | medium | Solve for x: x^2 - 4x + 3 = 0 | x = 1, 3 | Factor: (x - 1)(x - 3) = x^2 -(4)x + 3 = 0. So x = 1 or 3. Check sum = 4, product = 3. | quadratic |
732,811 | statistics | easy | What is the mean (average) of 68, 39, 2, 28, 44? | 36.2 | Mean = sum/count. Sum = 68+39+2+28+44=181. Count=5. Mean=181/5=36.2. | mean |
732,812 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
732,813 | word_problems | easy | If you have 23 candies and you buy 39 more candies, how many candies do you have in total? | 62 | Add initial 23 plus bought 39: 23+39=62. | addition_word |
732,814 | algebra | medium | Solve for x: x^2 - 1x - 72 = 0 | x = 9, -8 | Factor: (x - 9)(x - -8) = x^2 -(1)x + -72 = 0. So x = 9 or -8. Check sum = 1, product = -72. | quadratic |
732,815 | arithmetic | easy | What is 13423 / 31? | 433 | Divide: 13423 ÷ 31 = 433 because 31*433=13423. | division |
732,816 | roots | easy | What is the square root of 25? | 5 | Find number that when squared gives 25. 5*5=25, so sqrt(25)=5. | square_roots |
732,817 | number_theory | medium | What is the GCD (greatest common divisor) of 5 and 33? | 1 | Find greatest number dividing both 5 and 33. Divisors common, greatest is 1. | gcd |
732,818 | algebra | medium | Solve for x: x^2 - 2x - 8 = 0 | x = -2, 4 | Factor: (x - -2)(x - 4) = x^2 -(2)x + -8 = 0. So x = -2 or 4. Check sum = 2, product = -8. | quadratic |
732,819 | word_problems | easy | If you have 74 apples and you buy 16 more apples, how many apples do you have in total? | 90 | Add initial 74 plus bought 16: 74+16=90. | addition_word |
732,820 | arithmetic | easy | What is 893 - 865? | 28 | Subtract: 893 - 865 = 28. | basic_operations |
732,821 | 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 |
732,822 | fractions | medium | What is 6/18 - 13/14? Give as simplified fraction. | -25/42 | Common denominator 252. Numerator 84-234=-150. So -150/252 simplifies to -25/42. | fraction_operations |
732,823 | word_problems | easy | If you have 68 apples and you buy 22 more apples, how many apples do you have in total? | 90 | Add initial 68 plus bought 22: 68+22=90. | addition_word |
732,824 | arithmetic | easy | What is 92 * 44? | 4048 | Multiply: 92 * 44 = 4048. | basic_operations |
732,825 | arithmetic | easy | What is 54 + 61 * 48? Remember order of operations. | 2982 | Order of operations (PEMDAS): first 61*48=2928, then 54+2928=2982. | basic_operations |
732,826 | 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 |
732,827 | geometry | easy | Find the area of a triangle with base 16 and height 79. | 632 | Area = 0.5*base*height = 0.5*16*79 = 632. | triangle_area |
732,828 | fractions | medium | What is 11/3 * 4/20? Give as simplified fraction. | 11/15 | Multiply numerators: 11*4=44. Denominators: 3*20=60. Simplify by gcd 4 to get 11/15. | fraction_operations |
732,829 | arithmetic | easy | What is 31 * 9? | 279 | Multiply: 31 * 9 = 279. | basic_operations |
732,830 | roots | easy | What is the square root of 676? | 26 | Find number that when squared gives 676. 26*26=676, so sqrt(676)=26. | square_roots |
732,831 | algebra | medium | Solve for x: x^2 + 6x - 16 = 0 | x = 2, -8 | Factor: (x - 2)(x - -8) = x^2 -(-6)x + -16 = 0. So x = 2 or -8. Check sum = -6, product = -16. | quadratic |
732,832 | fractions | medium | What is 13/19 - 10/18? Give as simplified fraction. | 22/171 | Common denominator 342. Numerator 234-190=44. So 44/342 simplifies to 22/171. | fraction_operations |
732,833 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
732,834 | word_problems | easy | If you have 32 pencils and you buy 2 more pencils, how many pencils do you have in total? | 34 | Add initial 32 plus bought 2: 32+2=34. | addition_word |
732,835 | percentages | easy | What is 90% of 639? | 575.1 | Calculate 90/100 * 639 = 0.9*639 = 575.1. | percentages |
732,836 | arithmetic | easy | What is 459 + 448? | 907 | Add the two numbers: 459 + 448 = 907. | basic_operations |
732,837 | 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 |
732,838 | geometry | easy | Find the perimeter of a rectangle with length 29 and width 29. | 116 | Perimeter = 2*(length+width) = 2*(29+29) = 2*58 = 116. | rectangle_perim |
732,839 | algebra | easy | Solve for x: 4x - 10 = -66 | -14 | Add 10 to both sides: 4x = -66+10=-56. Then x = -56/4 = -14. | linear_equation |
732,840 | algebra | easy | Solve for x: 17x + 1 = -135 | -8 | Subtract 1 from both sides: 17x = -135-1=-136. Then divide by 17: x = -136/17 = -8. | linear_equation |
732,841 | word_problems | easy | If you have 89 pencils and you buy 27 more pencils, how many pencils do you have in total? | 116 | Add initial 89 plus bought 27: 89+27=116. | addition_word |
732,842 | fractions | medium | What is 4/9 + 7/11? Give as simplified fraction. | 107/99 | Common denominator 9*11=99. 4/9=44/99, 7/11=63/99. Sum = 107/99 = 107/99 simplified. | fraction_operations |
732,843 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
732,844 | fractions | medium | What is 17/5 * 11/10? Give as simplified fraction. | 187/50 | Multiply numerators: 17*11=187. Denominators: 5*10=50. Simplify by gcd 1 to get 187/50. | fraction_operations |
732,845 | arithmetic | easy | What is 458 - 146? | 312 | Subtract: 458 - 146 = 312. | basic_operations |
732,846 | percentages | easy | What is 97% of 744? | 721.68 | Calculate 97/100 * 744 = 0.97*744 = 721.68. | percentages |
732,847 | number_theory | medium | What is the GCD (greatest common divisor) of 30 and 88? | 2 | Find greatest number dividing both 30 and 88. Divisors common, greatest is 2. | gcd |
732,848 | arithmetic | easy | What is 607 + 515 * 69? Remember order of operations. | 36142 | Order of operations (PEMDAS): first 515*69=35535, then 607+35535=36142. | basic_operations |
732,849 | percentages | easy | What is 98% of 905? | 886.9 | Calculate 98/100 * 905 = 0.98*905 = 886.9. | percentages |
732,850 | arithmetic | easy | What is 60 + 12 * 20? Remember order of operations. | 300 | Order of operations (PEMDAS): first 12*20=240, then 60+240=300. | basic_operations |
732,851 | algebra | easy | Solve for x: 12x - 23 = 13 | 3 | Add 23 to both sides: 12x = 13+23=36. Then x = 36/12 = 3. | linear_equation |
732,852 | statistics | easy | What is the mean (average) of 13, 89, 70, 98? | 67.5 | Mean = sum/count. Sum = 13+89+70+98=270. Count=4. Mean=270/4=67.5. | mean |
732,853 | statistics | easy | What is the mean (average) of 32, 57, 9, 50, 23? | 34.2 | Mean = sum/count. Sum = 32+57+9+50+23=171. Count=5. Mean=171/5=34.2. | mean |
732,854 | algebra | medium | Solve for x: x^2 - 6x - 40 = 0 | x = 10, -4 | Factor: (x - 10)(x - -4) = x^2 -(6)x + -40 = 0. So x = 10 or -4. Check sum = 6, product = -40. | quadratic |
732,855 | algebra | medium | Solve for x: x^2 + 4x + 4 = 0 | x = -2 | Factor as (x - -2)^2 = 0, so root is -2 (double root). Sum of roots = -4, product = 4. | quadratic |
732,856 | 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 |
732,857 | algebra | easy | Solve for x: 7x - 46 = 66 | 16 | Add 46 to both sides: 7x = 66+46=112. Then x = 112/7 = 16. | linear_equation |
732,858 | 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 |
732,859 | calculus | medium | What is the derivative of 5x^3 with respect to x? | 15x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^3] = 5*3*x^2 = 15x^2. | derivative |
732,860 | arithmetic | easy | What is 560 - 242? | 318 | Subtract: 560 - 242 = 318. | basic_operations |
732,861 | number_theory | medium | What is the LCM (least common multiple) of 76 and 7? | 532 | LCM = |76*7| / GCD(76,7). GCD=1, so LCM=532/1=532. | lcm |
732,862 | 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 |
732,863 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
732,864 | algebra | easy | Solve for x: 6x + 41 = -79 | -20 | Subtract 41 from both sides: 6x = -79-41=-120. Then divide by 6: x = -120/6 = -20. | linear_equation |
732,865 | arithmetic | easy | What is 84 * 43? | 3612 | Multiply: 84 * 43 = 3612. | basic_operations |
732,866 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
732,867 | arithmetic | easy | What is 969 - 480? | 489 | Subtract: 969 - 480 = 489. | basic_operations |
732,868 | arithmetic | easy | What is 63 * 21? | 1323 | Multiply: 63 * 21 = 1323. | basic_operations |
732,869 | percentages | easy | What is 66% of 462? | 304.92 | Calculate 66/100 * 462 = 0.66*462 = 304.92. | percentages |
732,870 | geometry | easy | Find the perimeter of a rectangle with length 12 and width 10. | 44 | Perimeter = 2*(length+width) = 2*(12+10) = 2*22 = 44. | rectangle_perim |
732,871 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
732,872 | statistics | easy | What is the mean (average) of 55, 10, 43, 68, 22? | 39.6 | Mean = sum/count. Sum = 55+10+43+68+22=198. Count=5. Mean=198/5=39.6. | mean |
732,873 | arithmetic | easy | What is 19250 / 50? | 385 | Divide: 19250 ÷ 50 = 385 because 50*385=19250. | division |
732,874 | algebra | easy | Solve for x: 17x + 49 = 372 | 19 | Subtract 49 from both sides: 17x = 372-49=323. Then divide by 17: x = 323/17 = 19. | linear_equation |
732,875 | arithmetic | easy | What is 650 + 779? | 1429 | Add the two numbers: 650 + 779 = 1429. | basic_operations |
732,876 | arithmetic | easy | What is 854 + 665 * 53? Remember order of operations. | 36099 | Order of operations (PEMDAS): first 665*53=35245, then 854+35245=36099. | basic_operations |
732,877 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
732,878 | fractions | medium | What is 12/13 * 8/17? Give as simplified fraction. | 96/221 | Multiply numerators: 12*8=96. Denominators: 13*17=221. Simplify by gcd 1 to get 96/221. | fraction_operations |
732,879 | arithmetic | easy | What is 328 + 12? | 340 | Add the two numbers: 328 + 12 = 340. | basic_operations |
732,880 | algebra | easy | Solve for x: 10x + 9 = -161 | -17 | Subtract 9 from both sides: 10x = -161-9=-170. Then divide by 10: x = -170/10 = -17. | linear_equation |
732,881 | calculus | medium | What is the derivative of 5x^3 with respect to x? | 15x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^3] = 5*3*x^2 = 15x^2. | derivative |
732,882 | 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 |
732,883 | arithmetic | easy | What is 827 - 449? | 378 | Subtract: 827 - 449 = 378. | basic_operations |
732,884 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
732,885 | arithmetic | easy | What is 2622 / 19? | 138 | Divide: 2622 ÷ 19 = 138 because 19*138=2622. | division |
732,886 | algebra | medium | Solve for x: x^2 - 7x + 10 = 0 | x = 2, 5 | Factor: (x - 2)(x - 5) = x^2 -(7)x + 10 = 0. So x = 2 or 5. Check sum = 7, product = 10. | quadratic |
732,887 | arithmetic | easy | What is 42 + 77 * 10? Remember order of operations. | 812 | Order of operations (PEMDAS): first 77*10=770, then 42+770=812. | basic_operations |
732,888 | word_problems | easy | If you have 33 pencils and you buy 14 more pencils, how many pencils do you have in total? | 47 | Add initial 33 plus bought 14: 33+14=47. | addition_word |
732,889 | word_problems | easy | If you have 31 candies and you buy 17 more candies, how many candies do you have in total? | 48 | Add initial 31 plus bought 17: 31+17=48. | addition_word |
732,890 | fractions | medium | What is 11/4 + 16/4? Give as simplified fraction. | 27/4 | Common denominator 4*4=16. 11/4=44/16, 16/4=64/16. Sum = 108/16 = 27/4 simplified. | fraction_operations |
732,891 | arithmetic | easy | What is 9588 / 51? | 188 | Divide: 9588 ÷ 51 = 188 because 51*188=9588. | division |
732,892 | geometry | easy | Find the area of a triangle with base 73 and height 26. | 949 | Area = 0.5*base*height = 0.5*73*26 = 949. | triangle_area |
732,893 | geometry | easy | Find the area of a circle with radius 34. Use pi=3.14159, round to 2 decimals. | 3631.68 | Area = pi*r^2 = 3.14159*34^2 = 3.14159*1156 = 3631.68. | circle_area |
732,894 | arithmetic | easy | What is 899 + 18 * 72? Remember order of operations. | 2195 | Order of operations (PEMDAS): first 18*72=1296, then 899+1296=2195. | basic_operations |
732,895 | roots | easy | What is the square root of 729? | 27 | Find number that when squared gives 729. 27*27=729, so sqrt(729)=27. | square_roots |
732,896 | arithmetic | easy | What is 831 + 146? | 977 | Add the two numbers: 831 + 146 = 977. | basic_operations |
732,897 | arithmetic | easy | What is 92 + 27 * 67? Remember order of operations. | 1901 | Order of operations (PEMDAS): first 27*67=1809, then 92+1809=1901. | basic_operations |
732,898 | word_problems | easy | If you have 10 candies and you buy 19 more candies, how many candies do you have in total? | 29 | Add initial 10 plus bought 19: 10+19=29. | addition_word |
732,899 | arithmetic | easy | What is 417 + 154 * 16? Remember order of operations. | 2881 | Order of operations (PEMDAS): first 154*16=2464, then 417+2464=2881. | basic_operations |
732,900 | arithmetic | easy | What is 40 * 48? | 1920 | Multiply: 40 * 48 = 1920. | basic_operations |
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