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 |
|---|---|---|---|---|---|---|
1,901 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
1,902 | arithmetic | easy | What is 605 - 47? | 558 | Subtract: 605 - 47 = 558. | basic_operations |
1,903 | arithmetic | easy | What is 913 - 784? | 129 | Subtract: 913 - 784 = 129. | basic_operations |
1,904 | 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 |
1,905 | number_theory | medium | What is the GCD (greatest common divisor) of 53 and 45? | 1 | Find greatest number dividing both 53 and 45. Divisors common, greatest is 1. | gcd |
1,906 | percentages | easy | What is 32% of 241? | 77.12 | Calculate 32/100 * 241 = 0.32*241 = 77.12. | percentages |
1,907 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
1,908 | arithmetic | easy | What is 890 + 313 * 15? Remember order of operations. | 5585 | Order of operations (PEMDAS): first 313*15=4695, then 890+4695=5585. | basic_operations |
1,909 | roots | easy | What is the square root of 9? | 3 | Find number that when squared gives 9. 3*3=9, so sqrt(9)=3. | square_roots |
1,910 | word_problems | easy | If you have 89 pencils and you buy 28 more pencils, how many pencils do you have in total? | 117 | Add initial 89 plus bought 28: 89+28=117. | addition_word |
1,911 | 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 |
1,912 | arithmetic | easy | What is 713 + 481? | 1194 | Add the two numbers: 713 + 481 = 1194. | basic_operations |
1,913 | calculus | medium | What is the derivative of 7x^6 with respect to x? | 42x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^6] = 7*6*x^5 = 42x^5. | derivative |
1,914 | 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 |
1,915 | arithmetic | easy | What is 3328 / 64? | 52 | Divide: 3328 ÷ 64 = 52 because 64*52=3328. | division |
1,916 | roots | easy | What is the square root of 1024? | 32 | Find number that when squared gives 1024. 32*32=1024, so sqrt(1024)=32. | square_roots |
1,917 | 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 |
1,918 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
1,919 | fractions | medium | What is 16/4 - 18/8? Give as simplified fraction. | 7/4 | Common denominator 32. Numerator 128-72=56. So 56/32 simplifies to 7/4. | fraction_operations |
1,920 | geometry | easy | Find the area of a rectangle with length 39 and width 74. | 2886 | Area = length * width = 39*74 = 2886. | rectangle_area |
1,921 | calculus | medium | What is the derivative of 4x^8 with respect to x? | 32x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^8] = 4*8*x^7 = 32x^7. | derivative |
1,922 | arithmetic | easy | What is 735 + 865? | 1600 | Add the two numbers: 735 + 865 = 1600. | basic_operations |
1,923 | geometry | easy | Find the area of a rectangle with length 73 and width 68. | 4964 | Area = length * width = 73*68 = 4964. | rectangle_area |
1,924 | statistics | easy | What is the mean (average) of 27, 45, 10, 84? | 41.5 | Mean = sum/count. Sum = 27+45+10+84=166. Count=4. Mean=166/4=41.5. | mean |
1,925 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
1,926 | 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 |
1,927 | roots | easy | What is the square root of 169? | 13 | Find number that when squared gives 169. 13*13=169, so sqrt(169)=13. | square_roots |
1,928 | 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 |
1,929 | geometry | easy | Find the area of a triangle with base 66 and height 59. | 1947 | Area = 0.5*base*height = 0.5*66*59 = 1947. | triangle_area |
1,930 | algebra | medium | Solve for x: x^2 - 100 = 0 | x = -10, 10 | Factor: (x - -10)(x - 10) = x^2 -(0)x + -100 = 0. So x = -10 or 10. Check sum = 0, product = -100. | quadratic |
1,931 | algebra | medium | Solve for x: x^2 - 13x + 40 = 0 | x = 8, 5 | Factor: (x - 8)(x - 5) = x^2 -(13)x + 40 = 0. So x = 8 or 5. Check sum = 13, product = 40. | quadratic |
1,932 | fractions | medium | What is 15/10 * 18/15? Give as simplified fraction. | 9/5 | Multiply numerators: 15*18=270. Denominators: 10*15=150. Simplify by gcd 30 to get 9/5. | fraction_operations |
1,933 | arithmetic | easy | What is 535 + 206 * 47? Remember order of operations. | 10217 | Order of operations (PEMDAS): first 206*47=9682, then 535+9682=10217. | basic_operations |
1,934 | algebra | easy | Solve for x: 10x + 5 = 65 | 6 | Subtract 5 from both sides: 10x = 65-5=60. Then divide by 10: x = 60/10 = 6. | linear_equation |
1,935 | 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 |
1,936 | fractions | medium | What is 14/10 - 10/7? Give as simplified fraction. | -1/35 | Common denominator 70. Numerator 98-100=-2. So -2/70 simplifies to -1/35. | fraction_operations |
1,937 | percentages | easy | What is 52% of 245? | 127.4 | Calculate 52/100 * 245 = 0.52*245 = 127.4. | percentages |
1,938 | arithmetic | easy | What is 2079 / 21? | 99 | Divide: 2079 ÷ 21 = 99 because 21*99=2079. | division |
1,939 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
1,940 | 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 |
1,941 | arithmetic | easy | What is 207 + 164 * 35? Remember order of operations. | 5947 | Order of operations (PEMDAS): first 164*35=5740, then 207+5740=5947. | basic_operations |
1,942 | geometry | easy | Find the area of a triangle with base 23 and height 83. | 954.5 | Area = 0.5*base*height = 0.5*23*83 = 954.5. | triangle_area |
1,943 | arithmetic | easy | What is 987 + 740 * 63? Remember order of operations. | 47607 | Order of operations (PEMDAS): first 740*63=46620, then 987+46620=47607. | basic_operations |
1,944 | arithmetic | easy | What is 322 + 617? | 939 | Add the two numbers: 322 + 617 = 939. | basic_operations |
1,945 | 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 |
1,946 | arithmetic | easy | What is 407 + 966 * 93? Remember order of operations. | 90245 | Order of operations (PEMDAS): first 966*93=89838, then 407+89838=90245. | basic_operations |
1,947 | arithmetic | easy | What is 23221 divided by 68? Give answer to 2 decimal places. | 341.49 | Calculate 23221/ 68 = 341.4853, rounded to 2 decimals is 341.49. | division |
1,948 | arithmetic | easy | What is 615 - 244? | 371 | Subtract: 615 - 244 = 371. | basic_operations |
1,949 | calculus | medium | What is the derivative of 4x^8 with respect to x? | 32x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^8] = 4*8*x^7 = 32x^7. | derivative |
1,950 | 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 |
1,951 | algebra | easy | Solve for x: 4x - 28 = -56 | -7 | Add 28 to both sides: 4x = -56+28=-28. Then x = -28/4 = -7. | linear_equation |
1,952 | geometry | easy | Find the circumference of a circle with radius 27. Use pi=3.14159, round to 2 decimals. | 169.65 | Circumference = 2*pi*r = 2*3.14159*27 = 169.65. | circle_circum |
1,953 | geometry | easy | Find the area of a triangle with base 8 and height 63. | 252 | Area = 0.5*base*height = 0.5*8*63 = 252. | triangle_area |
1,954 | number_theory | medium | What is the LCM (least common multiple) of 90 and 15? | 90 | LCM = |90*15| / GCD(90,15). GCD=15, so LCM=1350/15=90. | lcm |
1,955 | 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 |
1,956 | percentages | easy | What is 36% of 901? | 324.36 | Calculate 36/100 * 901 = 0.36*901 = 324.36. | percentages |
1,957 | algebra | easy | Solve for x: 12x + 10 = 46 | 3 | Subtract 10 from both sides: 12x = 46-10=36. Then divide by 12: x = 36/12 = 3. | linear_equation |
1,958 | exponents | easy | What is 2^2? | 4 | 2^2 means multiply 2 by itself 2 times: 2*2 = 4. | exponents |
1,959 | arithmetic | easy | What is 708 + 940 * 86? Remember order of operations. | 81548 | Order of operations (PEMDAS): first 940*86=80840, then 708+80840=81548. | basic_operations |
1,960 | 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 |
1,961 | arithmetic | easy | What is 31111 divided by 70? Give answer to 2 decimal places. | 444.44 | Calculate 31111/ 70 = 444.4429, rounded to 2 decimals is 444.44. | division |
1,962 | calculus | medium | What is the derivative of 7x^2 with respect to x? | 14x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^2] = 7*2*x^1 = 14x. | derivative |
1,963 | geometry | easy | Find the area of a circle with radius 6. Use pi=3.14159, round to 2 decimals. | 113.1 | Area = pi*r^2 = 3.14159*6^2 = 3.14159*36 = 113.1. | circle_area |
1,964 | percentages | easy | What is 39% of 216? | 84.24 | Calculate 39/100 * 216 = 0.39*216 = 84.24. | percentages |
1,965 | algebra | medium | Solve for x: x^2 - 14x + 40 = 0 | x = 4, 10 | Factor: (x - 4)(x - 10) = x^2 -(14)x + 40 = 0. So x = 4 or 10. Check sum = 14, product = 40. | quadratic |
1,966 | roots | easy | What is the square root of 2500? | 50 | Find number that when squared gives 2500. 50*50=2500, so sqrt(2500)=50. | square_roots |
1,967 | 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 |
1,968 | arithmetic | easy | What is 888 - 281? | 607 | Subtract: 888 - 281 = 607. | basic_operations |
1,969 | 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 |
1,970 | 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 |
1,971 | 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 |
1,972 | arithmetic | easy | What is 7876 / 22? | 358 | Divide: 7876 ÷ 22 = 358 because 22*358=7876. | division |
1,973 | number_theory | medium | What is the LCM (least common multiple) of 54 and 78? | 702 | LCM = |54*78| / GCD(54,78). GCD=6, so LCM=4212/6=702. | lcm |
1,974 | word_problems | easy | If you have 93 apples and you buy 2 more apples, how many apples do you have in total? | 95 | Add initial 93 plus bought 2: 93+2=95. | addition_word |
1,975 | algebra | medium | Solve for x: x^2 - 14x + 40 = 0 | x = 10, 4 | Factor: (x - 10)(x - 4) = x^2 -(14)x + 40 = 0. So x = 10 or 4. Check sum = 14, product = 40. | quadratic |
1,976 | algebra | easy | Solve for x: 1x + 1 = -7 | -8 | Subtract 1 from both sides: 1x = -7-1=-8. Then divide by 1: x = -8/1 = -8. | linear_equation |
1,977 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
1,978 | arithmetic | easy | What is 2816 / 22? | 128 | Divide: 2816 ÷ 22 = 128 because 22*128=2816. | division |
1,979 | 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 |
1,980 | 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 |
1,981 | statistics | easy | What is the mean (average) of 18, 34, 23, 88, 76? | 47.8 | Mean = sum/count. Sum = 18+34+23+88+76=239. Count=5. Mean=239/5=47.8. | mean |
1,982 | 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 |
1,983 | fractions | medium | What is 3/15 - 12/7? Give as simplified fraction. | -53/35 | Common denominator 105. Numerator 21-180=-159. So -159/105 simplifies to -53/35. | fraction_operations |
1,984 | calculus | medium | What is the derivative of 10x^8 with respect to x? | 80x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^8] = 10*8*x^7 = 80x^7. | derivative |
1,985 | percentages | easy | What is 3% of 971? | 29.13 | Calculate 3/100 * 971 = 0.03*971 = 29.13. | percentages |
1,986 | arithmetic | easy | What is 81 * 30? | 2430 | Multiply: 81 * 30 = 2430. | basic_operations |
1,987 | word_problems | easy | If you have 30 books and you buy 17 more books, how many books do you have in total? | 47 | Add initial 30 plus bought 17: 30+17=47. | addition_word |
1,988 | arithmetic | easy | What is 34 + 20 * 55? Remember order of operations. | 1134 | Order of operations (PEMDAS): first 20*55=1100, then 34+1100=1134. | basic_operations |
1,989 | number_theory | medium | What is the GCD (greatest common divisor) of 22 and 73? | 1 | Find greatest number dividing both 22 and 73. Divisors common, greatest is 1. | gcd |
1,990 | arithmetic | easy | What is 736 - 539? | 197 | Subtract: 736 - 539 = 197. | basic_operations |
1,991 | statistics | easy | What is the mean (average) of 29, 92, 27? | 49.33 | Mean = sum/count. Sum = 29+92+27=148. Count=3. Mean=148/3=49.33. | mean |
1,992 | fractions | medium | What is 9/11 + 16/14? Give as simplified fraction. | 151/77 | Common denominator 11*14=154. 9/11=126/154, 16/14=176/154. Sum = 302/154 = 151/77 simplified. | fraction_operations |
1,993 | 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 |
1,994 | fractions | medium | What is 20/8 - 10/8? Give as simplified fraction. | 5/4 | Common denominator 64. Numerator 160-80=80. So 80/64 simplifies to 5/4. | fraction_operations |
1,995 | algebra | medium | Solve for x: x^2 + 3x - 18 = 0 | x = 3, -6 | Factor: (x - 3)(x - -6) = x^2 -(-3)x + -18 = 0. So x = 3 or -6. Check sum = -3, product = -18. | quadratic |
1,996 | arithmetic | easy | What is 298 + 1000? | 1298 | Add the two numbers: 298 + 1000 = 1298. | basic_operations |
1,997 | percentages | easy | What is 48% of 597? | 286.56 | Calculate 48/100 * 597 = 0.48*597 = 286.56. | percentages |
1,998 | word_problems | easy | If you have 15 candies and you buy 1 more candies, how many candies do you have in total? | 16 | Add initial 15 plus bought 1: 15+1=16. | addition_word |
1,999 | algebra | easy | Solve for x: 11x + 38 = 93 | 5 | Subtract 38 from both sides: 11x = 93-38=55. Then divide by 11: x = 55/11 = 5. | linear_equation |
2,000 | fractions | medium | What is 13/15 + 20/10? Give as simplified fraction. | 43/15 | Common denominator 15*10=150. 13/15=130/150, 20/10=300/150. Sum = 430/150 = 43/15 simplified. | fraction_operations |
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