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 |
|---|---|---|---|---|---|---|
734,901 | number_theory | medium | What is the GCD (greatest common divisor) of 41 and 62? | 1 | Find greatest number dividing both 41 and 62. Divisors common, greatest is 1. | gcd |
734,902 | algebra | easy | Solve for x: 9x + 33 = -129 | -18 | Subtract 33 from both sides: 9x = -129-33=-162. Then divide by 9: x = -162/9 = -18. | linear_equation |
734,903 | fractions | medium | What is 20/6 * 10/17? Give as simplified fraction. | 100/51 | Multiply numerators: 20*10=200. Denominators: 6*17=102. Simplify by gcd 2 to get 100/51. | fraction_operations |
734,904 | algebra | easy | Solve for x: 9x - 15 = -150 | -15 | Add 15 to both sides: 9x = -150+15=-135. Then x = -135/9 = -15. | linear_equation |
734,905 | roots | easy | What is the square root of 2025? | 45 | Find number that when squared gives 2025. 45*45=2025, so sqrt(2025)=45. | square_roots |
734,906 | arithmetic | easy | What is 16 + 10 * 89? Remember order of operations. | 906 | Order of operations (PEMDAS): first 10*89=890, then 16+890=906. | basic_operations |
734,907 | 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 |
734,908 | fractions | medium | What is 8/5 - 9/19? Give as simplified fraction. | 107/95 | Common denominator 95. Numerator 152-45=107. So 107/95 simplifies to 107/95. | fraction_operations |
734,909 | arithmetic | easy | What is 35 * 48? | 1680 | Multiply: 35 * 48 = 1680. | basic_operations |
734,910 | geometry | easy | Find the circumference of a circle with radius 1. Use pi=3.14159, round to 2 decimals. | 6.28 | Circumference = 2*pi*r = 2*3.14159*1 = 6.28. | circle_circum |
734,911 | percentages | easy | What is 79% of 99? | 78.21 | Calculate 79/100 * 99 = 0.79*99 = 78.21. | percentages |
734,912 | fractions | medium | What is 15/18 * 4/12? Give as simplified fraction. | 5/18 | Multiply numerators: 15*4=60. Denominators: 18*12=216. Simplify by gcd 12 to get 5/18. | fraction_operations |
734,913 | arithmetic | easy | What is 14 + 38 * 52? Remember order of operations. | 1990 | Order of operations (PEMDAS): first 38*52=1976, then 14+1976=1990. | basic_operations |
734,914 | geometry | easy | Find the area of a triangle with base 45 and height 3. | 67.5 | Area = 0.5*base*height = 0.5*45*3 = 67.5. | triangle_area |
734,915 | algebra | medium | Solve for x: x^2 + 5x + 6 = 0 | x = -3, -2 | Factor: (x - -3)(x - -2) = x^2 -(-5)x + 6 = 0. So x = -3 or -2. Check sum = -5, product = 6. | quadratic |
734,916 | percentages | easy | What is 78% of 670? | 522.6 | Calculate 78/100 * 670 = 0.78*670 = 522.6. | percentages |
734,917 | number_theory | medium | What is the GCD (greatest common divisor) of 74 and 95? | 1 | Find greatest number dividing both 74 and 95. Divisors common, greatest is 1. | gcd |
734,918 | number_theory | medium | What is the GCD (greatest common divisor) of 17 and 92? | 1 | Find greatest number dividing both 17 and 92. Divisors common, greatest is 1. | gcd |
734,919 | statistics | easy | What is the mean (average) of 21, 14, 13, 21, 25? | 18.8 | Mean = sum/count. Sum = 21+14+13+21+25=94. Count=5. Mean=94/5=18.8. | mean |
734,920 | algebra | easy | Solve for x: 4x + 9 = 17 | 2 | Subtract 9 from both sides: 4x = 17-9=8. Then divide by 4: x = 8/4 = 2. | linear_equation |
734,921 | 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 |
734,922 | arithmetic | easy | What is 363 + 201? | 564 | Add the two numbers: 363 + 201 = 564. | basic_operations |
734,923 | arithmetic | easy | What is 634 + 859? | 1493 | Add the two numbers: 634 + 859 = 1493. | basic_operations |
734,924 | statistics | easy | What is the mean (average) of 3, 34, 51, 52? | 35 | Mean = sum/count. Sum = 3+34+51+52=140. Count=4. Mean=140/4=35.0. | mean |
734,925 | arithmetic | easy | What is 253 + 374 * 18? Remember order of operations. | 6985 | Order of operations (PEMDAS): first 374*18=6732, then 253+6732=6985. | basic_operations |
734,926 | algebra | easy | Solve for x: 8x - 35 = -155 | -15 | Add 35 to both sides: 8x = -155+35=-120. Then x = -120/8 = -15. | linear_equation |
734,927 | statistics | easy | What is the mean (average) of 13, 83, 19, 20, 67? | 40.4 | Mean = sum/count. Sum = 13+83+19+20+67=202. Count=5. Mean=202/5=40.4. | mean |
734,928 | arithmetic | easy | What is 596 - 522? | 74 | Subtract: 596 - 522 = 74. | basic_operations |
734,929 | geometry | easy | Find the circumference of a circle with radius 17. Use pi=3.14159, round to 2 decimals. | 106.81 | Circumference = 2*pi*r = 2*3.14159*17 = 106.81. | circle_circum |
734,930 | 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 |
734,931 | geometry | easy | Find the perimeter of a rectangle with length 28 and width 43. | 142 | Perimeter = 2*(length+width) = 2*(28+43) = 2*71 = 142. | rectangle_perim |
734,932 | 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 |
734,933 | arithmetic | easy | What is 17 * 11? | 187 | Multiply: 17 * 11 = 187. | basic_operations |
734,934 | arithmetic | easy | What is 4256 / 32? | 133 | Divide: 4256 ÷ 32 = 133 because 32*133=4256. | division |
734,935 | fractions | medium | What is 5/17 * 11/16? Give as simplified fraction. | 55/272 | Multiply numerators: 5*11=55. Denominators: 17*16=272. Simplify by gcd 1 to get 55/272. | fraction_operations |
734,936 | fractions | medium | What is 13/14 * 4/11? Give as simplified fraction. | 26/77 | Multiply numerators: 13*4=52. Denominators: 14*11=154. Simplify by gcd 2 to get 26/77. | fraction_operations |
734,937 | geometry | easy | Find the area of a triangle with base 88 and height 35. | 1540 | Area = 0.5*base*height = 0.5*88*35 = 1540. | triangle_area |
734,938 | arithmetic | easy | What is 34 + 463? | 497 | Add the two numbers: 34 + 463 = 497. | basic_operations |
734,939 | arithmetic | easy | What is 201 + 823? | 1024 | Add the two numbers: 201 + 823 = 1024. | basic_operations |
734,940 | percentages | easy | What is 39% of 949? | 370.11 | Calculate 39/100 * 949 = 0.39*949 = 370.11. | percentages |
734,941 | algebra | easy | Solve for x: 12x - 20 = 100 | 10 | Add 20 to both sides: 12x = 100+20=120. Then x = 120/12 = 10. | linear_equation |
734,942 | arithmetic | easy | What is 18920 / 55? | 344 | Divide: 18920 ÷ 55 = 344 because 55*344=18920. | division |
734,943 | number_theory | medium | What is the GCD (greatest common divisor) of 56 and 60? | 4 | Find greatest number dividing both 56 and 60. Divisors common, greatest is 4. | gcd |
734,944 | 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 |
734,945 | arithmetic | easy | What is 17580 / 60? | 293 | Divide: 17580 ÷ 60 = 293 because 60*293=17580. | division |
734,946 | arithmetic | easy | What is 43 + 664? | 707 | Add the two numbers: 43 + 664 = 707. | basic_operations |
734,947 | arithmetic | easy | What is 15310 divided by 33? Give answer to 2 decimal places. | 463.94 | Calculate 15310/ 33 = 463.9394, rounded to 2 decimals is 463.94. | division |
734,948 | arithmetic | easy | What is 87 + 84 * 36? Remember order of operations. | 3111 | Order of operations (PEMDAS): first 84*36=3024, then 87+3024=3111. | basic_operations |
734,949 | percentages | easy | What is 95% of 634? | 602.3 | Calculate 95/100 * 634 = 0.95*634 = 602.3. | percentages |
734,950 | geometry | easy | Find the perimeter of a rectangle with length 31 and width 72. | 206 | Perimeter = 2*(length+width) = 2*(31+72) = 2*103 = 206. | rectangle_perim |
734,951 | arithmetic | easy | What is 255 + 98 * 48? Remember order of operations. | 4959 | Order of operations (PEMDAS): first 98*48=4704, then 255+4704=4959. | basic_operations |
734,952 | 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 |
734,953 | arithmetic | easy | What is 962 - 602? | 360 | Subtract: 962 - 602 = 360. | basic_operations |
734,954 | arithmetic | easy | What is 8118 / 22? | 369 | Divide: 8118 ÷ 22 = 369 because 22*369=8118. | division |
734,955 | arithmetic | easy | What is 686 + 650 * 31? Remember order of operations. | 20836 | Order of operations (PEMDAS): first 650*31=20150, then 686+20150=20836. | basic_operations |
734,956 | word_problems | easy | If you have 78 dollars and you buy 21 more dollars, how many dollars do you have in total? | 99 | Add initial 78 plus bought 21: 78+21=99. | addition_word |
734,957 | fractions | medium | What is 13/13 - 10/3? Give as simplified fraction. | -7/3 | Common denominator 39. Numerator 39-130=-91. So -91/39 simplifies to -7/3. | fraction_operations |
734,958 | roots | easy | What is the square root of 1444? | 38 | Find number that when squared gives 1444. 38*38=1444, so sqrt(1444)=38. | square_roots |
734,959 | exponents | easy | What is 11^4? | 14641 | 11^4 means multiply 11 by itself 4 times: 11*11*11*11 = 14641. | exponents |
734,960 | algebra | medium | Solve for x: x^2 - 2x - 3 = 0 | x = -1, 3 | Factor: (x - -1)(x - 3) = x^2 -(2)x + -3 = 0. So x = -1 or 3. Check sum = 2, product = -3. | quadratic |
734,961 | 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 |
734,962 | arithmetic | easy | What is 671 divided by 7? Give answer to 2 decimal places. | 95.86 | Calculate 671/ 7 = 95.8571, rounded to 2 decimals is 95.86. | division |
734,963 | calculus | medium | What is the derivative of 6x^4 with respect to x? | 24x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^4] = 6*4*x^3 = 24x^3. | derivative |
734,964 | 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 |
734,965 | 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 |
734,966 | algebra | easy | Solve for x: 9x - 2 = 133 | 15 | Add 2 to both sides: 9x = 133+2=135. Then x = 135/9 = 15. | linear_equation |
734,967 | statistics | easy | What is the mean (average) of 55, 25, 95, 19? | 48.5 | Mean = sum/count. Sum = 55+25+95+19=194. Count=4. Mean=194/4=48.5. | mean |
734,968 | number_theory | medium | What is the GCD (greatest common divisor) of 9 and 33? | 3 | Find greatest number dividing both 9 and 33. Divisors common, greatest is 3. | gcd |
734,969 | calculus | medium | What is the derivative of 3x^4 with respect to x? | 12x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^4] = 3*4*x^3 = 12x^3. | derivative |
734,970 | arithmetic | easy | What is 714 + 937 * 78? Remember order of operations. | 73800 | Order of operations (PEMDAS): first 937*78=73086, then 714+73086=73800. | basic_operations |
734,971 | arithmetic | easy | What is 30 + 95 * 95? Remember order of operations. | 9055 | Order of operations (PEMDAS): first 95*95=9025, then 30+9025=9055. | basic_operations |
734,972 | algebra | medium | Solve for x: x^2 - 10x = 0 | x = 0, 10 | Factor: (x - 0)(x - 10) = x^2 -(10)x + 0 = 0. So x = 0 or 10. Check sum = 10, product = 0. | quadratic |
734,973 | arithmetic | easy | What is 802 - 680? | 122 | Subtract: 802 - 680 = 122. | basic_operations |
734,974 | algebra | easy | Solve for x: 11x + 1 = 155 | 14 | Subtract 1 from both sides: 11x = 155-1=154. Then divide by 11: x = 154/11 = 14. | linear_equation |
734,975 | fractions | medium | What is 3/2 + 8/5? Give as simplified fraction. | 31/10 | Common denominator 2*5=10. 3/2=15/10, 8/5=16/10. Sum = 31/10 = 31/10 simplified. | fraction_operations |
734,976 | fractions | medium | What is 15/8 * 19/17? Give as simplified fraction. | 285/136 | Multiply numerators: 15*19=285. Denominators: 8*17=136. Simplify by gcd 1 to get 285/136. | fraction_operations |
734,977 | fractions | medium | What is 17/12 * 8/11? Give as simplified fraction. | 34/33 | Multiply numerators: 17*8=136. Denominators: 12*11=132. Simplify by gcd 4 to get 34/33. | fraction_operations |
734,978 | roots | easy | What is the square root of 1296? | 36 | Find number that when squared gives 1296. 36*36=1296, so sqrt(1296)=36. | square_roots |
734,979 | arithmetic | easy | What is 48 + 33 * 46? Remember order of operations. | 1566 | Order of operations (PEMDAS): first 33*46=1518, then 48+1518=1566. | basic_operations |
734,980 | geometry | easy | Find the area of a circle with radius 39. Use pi=3.14159, round to 2 decimals. | 4778.36 | Area = pi*r^2 = 3.14159*39^2 = 3.14159*1521 = 4778.36. | circle_area |
734,981 | arithmetic | easy | What is 270 - 166? | 104 | Subtract: 270 - 166 = 104. | basic_operations |
734,982 | exponents | easy | What is 8^4? | 4096 | 8^4 means multiply 8 by itself 4 times: 8*8*8*8 = 4096. | exponents |
734,983 | arithmetic | easy | What is 47 * 61? | 2867 | Multiply: 47 * 61 = 2867. | basic_operations |
734,984 | fractions | medium | What is 5/19 - 5/11? Give as simplified fraction. | -40/209 | Common denominator 209. Numerator 55-95=-40. So -40/209 simplifies to -40/209. | fraction_operations |
734,985 | number_theory | medium | What is the GCD (greatest common divisor) of 50 and 80? | 10 | Find greatest number dividing both 50 and 80. Divisors common, greatest is 10. | gcd |
734,986 | 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 |
734,987 | word_problems | easy | If you have 23 dollars and you buy 11 more dollars, how many dollars do you have in total? | 34 | Add initial 23 plus bought 11: 23+11=34. | addition_word |
734,988 | algebra | medium | Solve for x: x^2 + 9x + 8 = 0 | x = -8, -1 | Factor: (x - -8)(x - -1) = x^2 -(-9)x + 8 = 0. So x = -8 or -1. Check sum = -9, product = 8. | quadratic |
734,989 | arithmetic | easy | What is 665 + 550 * 12? Remember order of operations. | 7265 | Order of operations (PEMDAS): first 550*12=6600, then 665+6600=7265. | basic_operations |
734,990 | arithmetic | easy | What is 470 + 561? | 1031 | Add the two numbers: 470 + 561 = 1031. | basic_operations |
734,991 | word_problems | easy | If you have 33 apples and you buy 28 more apples, how many apples do you have in total? | 61 | Add initial 33 plus bought 28: 33+28=61. | addition_word |
734,992 | arithmetic | easy | What is 720 - 156? | 564 | Subtract: 720 - 156 = 564. | basic_operations |
734,993 | arithmetic | easy | What is 15 + 22 * 63? Remember order of operations. | 1401 | Order of operations (PEMDAS): first 22*63=1386, then 15+1386=1401. | basic_operations |
734,994 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
734,995 | percentages | easy | What is 30% of 65? | 19.5 | Calculate 30/100 * 65 = 0.3*65 = 19.5. | percentages |
734,996 | arithmetic | easy | What is 965 + 70 * 96? Remember order of operations. | 7685 | Order of operations (PEMDAS): first 70*96=6720, then 965+6720=7685. | basic_operations |
734,997 | arithmetic | easy | What is 15 * 42? | 630 | Multiply: 15 * 42 = 630. | basic_operations |
734,998 | word_problems | easy | If you have 39 pencils and you buy 15 more pencils, how many pencils do you have in total? | 54 | Add initial 39 plus bought 15: 39+15=54. | addition_word |
734,999 | fractions | medium | What is 15/10 - 13/15? Give as simplified fraction. | 19/30 | Common denominator 150. Numerator 225-130=95. So 95/150 simplifies to 19/30. | fraction_operations |
735,000 | arithmetic | easy | What is 1440 / 12? | 120 | Divide: 1440 ÷ 12 = 120 because 12*120=1440. | division |
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