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 |
|---|---|---|---|---|---|---|
8,901 | algebra | medium | Solve for x: x^2 - 1x - 6 = 0 | x = 3, -2 | Factor: (x - 3)(x - -2) = x^2 -(1)x + -6 = 0. So x = 3 or -2. Check sum = 1, product = -6. | quadratic |
8,902 | statistics | easy | What is the mean (average) of 12, 88, 88, 6, 7? | 40.2 | Mean = sum/count. Sum = 12+88+88+6+7=201. Count=5. Mean=201/5=40.2. | mean |
8,903 | arithmetic | easy | What is 14 * 17? | 238 | Multiply: 14 * 17 = 238. | basic_operations |
8,904 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
8,905 | word_problems | easy | If you have 56 books and you buy 5 more books, how many books do you have in total? | 61 | Add initial 56 plus bought 5: 56+5=61. | addition_word |
8,906 | arithmetic | easy | What is 39 + 72 * 100? Remember order of operations. | 7239 | Order of operations (PEMDAS): first 72*100=7200, then 39+7200=7239. | basic_operations |
8,907 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
8,908 | 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 |
8,909 | number_theory | medium | What is the GCD (greatest common divisor) of 100 and 20? | 20 | Find greatest number dividing both 100 and 20. Divisors common, greatest is 20. | gcd |
8,910 | fractions | medium | What is 16/7 * 18/17? Give as simplified fraction. | 288/119 | Multiply numerators: 16*18=288. Denominators: 7*17=119. Simplify by gcd 1 to get 288/119. | fraction_operations |
8,911 | number_theory | medium | What is the LCM (least common multiple) of 52 and 85? | 4420 | LCM = |52*85| / GCD(52,85). GCD=1, so LCM=4420/1=4420. | lcm |
8,912 | arithmetic | easy | What is 9202 / 86? | 107 | Divide: 9202 ÷ 86 = 107 because 86*107=9202. | division |
8,913 | 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 |
8,914 | calculus | medium | What is the derivative of 8x^4 with respect to x? | 32x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^4] = 8*4*x^3 = 32x^3. | derivative |
8,915 | statistics | easy | What is the mean (average) of 11, 44, 67? | 40.67 | Mean = sum/count. Sum = 11+44+67=122. Count=3. Mean=122/3=40.67. | mean |
8,916 | algebra | easy | Solve for x: 3x + 17 = 44 | 9 | Subtract 17 from both sides: 3x = 44-17=27. Then divide by 3: x = 27/3 = 9. | linear_equation |
8,917 | arithmetic | easy | What is 36 * 10? | 360 | Multiply: 36 * 10 = 360. | basic_operations |
8,918 | arithmetic | easy | What is 500 + 746 * 74? Remember order of operations. | 55704 | Order of operations (PEMDAS): first 746*74=55204, then 500+55204=55704. | basic_operations |
8,919 | 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 |
8,920 | arithmetic | easy | What is 956 + 308 * 52? Remember order of operations. | 16972 | Order of operations (PEMDAS): first 308*52=16016, then 956+16016=16972. | basic_operations |
8,921 | arithmetic | easy | What is 31 * 8? | 248 | Multiply: 31 * 8 = 248. | basic_operations |
8,922 | word_problems | easy | If you have 51 books and you buy 20 more books, how many books do you have in total? | 71 | Add initial 51 plus bought 20: 51+20=71. | addition_word |
8,923 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
8,924 | 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 |
8,925 | algebra | medium | Solve for x: x^2 - 2x - 15 = 0 | x = -3, 5 | Factor: (x - -3)(x - 5) = x^2 -(2)x + -15 = 0. So x = -3 or 5. Check sum = 2, product = -15. | quadratic |
8,926 | statistics | easy | What is the mean (average) of 72, 87, 94, 64? | 79.25 | Mean = sum/count. Sum = 72+87+94+64=317. Count=4. Mean=317/4=79.25. | mean |
8,927 | word_problems | easy | If you have 5 candies and you buy 4 more candies, how many candies do you have in total? | 9 | Add initial 5 plus bought 4: 5+4=9. | addition_word |
8,928 | arithmetic | easy | What is 6232 / 82? | 76 | Divide: 6232 ÷ 82 = 76 because 82*76=6232. | division |
8,929 | algebra | medium | Solve for x: x^2 + 7x = 0 | x = 0, -7 | Factor: (x - 0)(x - -7) = x^2 -(-7)x + 0 = 0. So x = 0 or -7. Check sum = -7, product = 0. | quadratic |
8,930 | algebra | medium | Solve for x: x^2 - 2x - 80 = 0 | x = -8, 10 | Factor: (x - -8)(x - 10) = x^2 -(2)x + -80 = 0. So x = -8 or 10. Check sum = 2, product = -80. | quadratic |
8,931 | arithmetic | easy | What is 564 + 993? | 1557 | Add the two numbers: 564 + 993 = 1557. | basic_operations |
8,932 | arithmetic | easy | What is 630 - 419? | 211 | Subtract: 630 - 419 = 211. | basic_operations |
8,933 | arithmetic | easy | What is 555 - 152? | 403 | Subtract: 555 - 152 = 403. | basic_operations |
8,934 | fractions | medium | What is 18/8 - 19/13? Give as simplified fraction. | 41/52 | Common denominator 104. Numerator 234-152=82. So 82/104 simplifies to 41/52. | fraction_operations |
8,935 | arithmetic | easy | What is 68 * 18? | 1224 | Multiply: 68 * 18 = 1224. | basic_operations |
8,936 | arithmetic | easy | What is 96 + 61 * 25? Remember order of operations. | 1621 | Order of operations (PEMDAS): first 61*25=1525, then 96+1525=1621. | basic_operations |
8,937 | arithmetic | easy | What is 458 - 48? | 410 | Subtract: 458 - 48 = 410. | basic_operations |
8,938 | arithmetic | easy | What is 54 * 92? | 4968 | Multiply: 54 * 92 = 4968. | basic_operations |
8,939 | 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 |
8,940 | percentages | easy | What is 22% of 38? | 8.36 | Calculate 22/100 * 38 = 0.22*38 = 8.36. | percentages |
8,941 | statistics | easy | What is the mean (average) of 5, 74, 66, 31, 35? | 42.2 | Mean = sum/count. Sum = 5+74+66+31+35=211. Count=5. Mean=211/5=42.2. | mean |
8,942 | geometry | easy | Find the area of a triangle with base 20 and height 87. | 870 | Area = 0.5*base*height = 0.5*20*87 = 870. | triangle_area |
8,943 | 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 |
8,944 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
8,945 | 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 |
8,946 | algebra | medium | Solve for x: x^2 - 12x + 27 = 0 | x = 9, 3 | Factor: (x - 9)(x - 3) = x^2 -(12)x + 27 = 0. So x = 9 or 3. Check sum = 12, product = 27. | quadratic |
8,947 | number_theory | medium | What is the LCM (least common multiple) of 8 and 61? | 488 | LCM = |8*61| / GCD(8,61). GCD=1, so LCM=488/1=488. | lcm |
8,948 | geometry | easy | Find the area of a circle with radius 26. Use pi=3.14159, round to 2 decimals. | 2123.72 | Area = pi*r^2 = 3.14159*26^2 = 3.14159*676 = 2123.72. | circle_area |
8,949 | 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 |
8,950 | algebra | easy | Solve for x: 14x + 10 = 80 | 5 | Subtract 10 from both sides: 14x = 80-10=70. Then divide by 14: x = 70/14 = 5. | linear_equation |
8,951 | number_theory | medium | What is the GCD (greatest common divisor) of 87 and 36? | 3 | Find greatest number dividing both 87 and 36. Divisors common, greatest is 3. | gcd |
8,952 | algebra | medium | Solve for x: x^2 + 1x - 42 = 0 | x = 6, -7 | Factor: (x - 6)(x - -7) = x^2 -(-1)x + -42 = 0. So x = 6 or -7. Check sum = -1, product = -42. | quadratic |
8,953 | word_problems | easy | If you have 80 candies and you buy 18 more candies, how many candies do you have in total? | 98 | Add initial 80 plus bought 18: 80+18=98. | addition_word |
8,954 | statistics | easy | What is the mean (average) of 45, 1, 6, 25, 40? | 23.4 | Mean = sum/count. Sum = 45+1+6+25+40=117. Count=5. Mean=117/5=23.4. | mean |
8,955 | 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 |
8,956 | algebra | easy | Solve for x: 5x - 43 = -88 | -9 | Add 43 to both sides: 5x = -88+43=-45. Then x = -45/5 = -9. | linear_equation |
8,957 | 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 |
8,958 | 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 |
8,959 | arithmetic | easy | What is 222 - 129? | 93 | Subtract: 222 - 129 = 93. | basic_operations |
8,960 | 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 |
8,961 | number_theory | medium | What is the GCD (greatest common divisor) of 57 and 29? | 1 | Find greatest number dividing both 57 and 29. Divisors common, greatest is 1. | gcd |
8,962 | arithmetic | easy | What is 627 + 933? | 1560 | Add the two numbers: 627 + 933 = 1560. | basic_operations |
8,963 | word_problems | easy | If you have 38 apples and you buy 50 more apples, how many apples do you have in total? | 88 | Add initial 38 plus bought 50: 38+50=88. | addition_word |
8,964 | calculus | medium | What is the derivative of 6x^3 with respect to x? | 18x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^3] = 6*3*x^2 = 18x^2. | derivative |
8,965 | arithmetic | easy | What is 444 + 528? | 972 | Add the two numbers: 444 + 528 = 972. | basic_operations |
8,966 | geometry | easy | Find the circumference of a circle with radius 26. Use pi=3.14159, round to 2 decimals. | 163.36 | Circumference = 2*pi*r = 2*3.14159*26 = 163.36. | circle_circum |
8,967 | statistics | easy | What is the mean (average) of 16, 17, 44, 91? | 42 | Mean = sum/count. Sum = 16+17+44+91=168. Count=4. Mean=168/4=42.0. | mean |
8,968 | fractions | medium | What is 16/20 + 19/2? Give as simplified fraction. | 103/10 | Common denominator 20*2=40. 16/20=32/40, 19/2=380/40. Sum = 412/40 = 103/10 simplified. | fraction_operations |
8,969 | number_theory | medium | What is the LCM (least common multiple) of 27 and 52? | 1404 | LCM = |27*52| / GCD(27,52). GCD=1, so LCM=1404/1=1404. | lcm |
8,970 | fractions | medium | What is 7/6 + 16/15? Give as simplified fraction. | 67/30 | Common denominator 6*15=90. 7/6=105/90, 16/15=96/90. Sum = 201/90 = 67/30 simplified. | fraction_operations |
8,971 | fractions | medium | What is 9/6 - 5/19? Give as simplified fraction. | 47/38 | Common denominator 114. Numerator 171-30=141. So 141/114 simplifies to 47/38. | fraction_operations |
8,972 | calculus | medium | What is the derivative of 9x^3 with respect to x? | 27x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^3] = 9*3*x^2 = 27x^2. | derivative |
8,973 | percentages | easy | What is 60% of 144? | 86.4 | Calculate 60/100 * 144 = 0.6*144 = 86.4. | percentages |
8,974 | percentages | easy | What is 64% of 691? | 442.24 | Calculate 64/100 * 691 = 0.64*691 = 442.24. | percentages |
8,975 | algebra | medium | Solve for x: x^2 + 5x = 0 | x = -5, 0 | Factor: (x - -5)(x - 0) = x^2 -(-5)x + 0 = 0. So x = -5 or 0. Check sum = -5, product = 0. | quadratic |
8,976 | fractions | medium | What is 4/3 * 8/9? Give as simplified fraction. | 32/27 | Multiply numerators: 4*8=32. Denominators: 3*9=27. Simplify by gcd 1 to get 32/27. | fraction_operations |
8,977 | statistics | easy | What is the mean (average) of 90, 92, 7, 1, 70? | 52 | Mean = sum/count. Sum = 90+92+7+1+70=260. Count=5. Mean=260/5=52.0. | mean |
8,978 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
8,979 | geometry | easy | Find the area of a rectangle with length 27 and width 96. | 2592 | Area = length * width = 27*96 = 2592. | rectangle_area |
8,980 | word_problems | easy | If you have 6 books and you buy 18 more books, how many books do you have in total? | 24 | Add initial 6 plus bought 18: 6+18=24. | addition_word |
8,981 | fractions | medium | What is 8/8 * 4/19? Give as simplified fraction. | 4/19 | Multiply numerators: 8*4=32. Denominators: 8*19=152. Simplify by gcd 8 to get 4/19. | fraction_operations |
8,982 | fractions | medium | What is 18/10 * 12/14? Give as simplified fraction. | 54/35 | Multiply numerators: 18*12=216. Denominators: 10*14=140. Simplify by gcd 4 to get 54/35. | fraction_operations |
8,983 | arithmetic | easy | What is 369 - 131? | 238 | Subtract: 369 - 131 = 238. | basic_operations |
8,984 | arithmetic | easy | What is 476 + 276 * 29? Remember order of operations. | 8480 | Order of operations (PEMDAS): first 276*29=8004, then 476+8004=8480. | basic_operations |
8,985 | number_theory | medium | What is the GCD (greatest common divisor) of 97 and 88? | 1 | Find greatest number dividing both 97 and 88. Divisors common, greatest is 1. | gcd |
8,986 | statistics | easy | What is the mean (average) of 74, 85, 50, 70? | 69.75 | Mean = sum/count. Sum = 74+85+50+70=279. Count=4. Mean=279/4=69.75. | mean |
8,987 | arithmetic | easy | What is 916 + 669 * 81? Remember order of operations. | 55105 | Order of operations (PEMDAS): first 669*81=54189, then 916+54189=55105. | basic_operations |
8,988 | number_theory | medium | What is the GCD (greatest common divisor) of 40 and 39? | 1 | Find greatest number dividing both 40 and 39. Divisors common, greatest is 1. | gcd |
8,989 | arithmetic | easy | What is 12299 / 49? | 251 | Divide: 12299 ÷ 49 = 251 because 49*251=12299. | division |
8,990 | word_problems | easy | If you have 84 books and you buy 43 more books, how many books do you have in total? | 127 | Add initial 84 plus bought 43: 84+43=127. | addition_word |
8,991 | 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 |
8,992 | arithmetic | easy | What is 331 + 212? | 543 | Add the two numbers: 331 + 212 = 543. | basic_operations |
8,993 | word_problems | easy | If you have 30 pencils and you buy 42 more pencils, how many pencils do you have in total? | 72 | Add initial 30 plus bought 42: 30+42=72. | addition_word |
8,994 | 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 |
8,995 | number_theory | medium | What is the LCM (least common multiple) of 79 and 27? | 2133 | LCM = |79*27| / GCD(79,27). GCD=1, so LCM=2133/1=2133. | lcm |
8,996 | algebra | easy | Solve for x: 17x + 21 = -98 | -7 | Subtract 21 from both sides: 17x = -98-21=-119. Then divide by 17: x = -119/17 = -7. | linear_equation |
8,997 | arithmetic | easy | What is 78 * 60? | 4680 | Multiply: 78 * 60 = 4680. | basic_operations |
8,998 | fractions | medium | What is 7/4 + 12/2? Give as simplified fraction. | 31/4 | Common denominator 4*2=8. 7/4=14/8, 12/2=48/8. Sum = 62/8 = 31/4 simplified. | fraction_operations |
8,999 | algebra | medium | Solve for x: x^2 - 2x - 63 = 0 | x = -7, 9 | Factor: (x - -7)(x - 9) = x^2 -(2)x + -63 = 0. So x = -7 or 9. Check sum = 2, product = -63. | quadratic |
9,000 | number_theory | medium | What is the LCM (least common multiple) of 97 and 75? | 7275 | LCM = |97*75| / GCD(97,75). GCD=1, so LCM=7275/1=7275. | lcm |
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