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 |
|---|---|---|---|---|---|---|
731,901 | word_problems | easy | If you have 96 apples and you buy 45 more apples, how many apples do you have in total? | 141 | Add initial 96 plus bought 45: 96+45=141. | addition_word |
731,902 | arithmetic | easy | What is 998 - 222? | 776 | Subtract: 998 - 222 = 776. | basic_operations |
731,903 | geometry | easy | Find the circumference of a circle with radius 11. Use pi=3.14159, round to 2 decimals. | 69.12 | Circumference = 2*pi*r = 2*3.14159*11 = 69.12. | circle_circum |
731,904 | arithmetic | easy | What is 17 + 96 * 65? Remember order of operations. | 6257 | Order of operations (PEMDAS): first 96*65=6240, then 17+6240=6257. | basic_operations |
731,905 | roots | easy | What is the square root of 576? | 24 | Find number that when squared gives 576. 24*24=576, so sqrt(576)=24. | square_roots |
731,906 | arithmetic | easy | What is 781 + 220? | 1001 | Add the two numbers: 781 + 220 = 1001. | basic_operations |
731,907 | arithmetic | easy | What is 985 + 6 * 3? Remember order of operations. | 1003 | Order of operations (PEMDAS): first 6*3=18, then 985+18=1003. | basic_operations |
731,908 | percentages | easy | What is 56% of 993? | 556.08 | Calculate 56/100 * 993 = 0.56*993 = 556.08. | percentages |
731,909 | percentages | easy | What is 64% of 249? | 159.36 | Calculate 64/100 * 249 = 0.64*249 = 159.36. | percentages |
731,910 | 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 |
731,911 | algebra | medium | Solve for x: x^2 - 2x + 1 = 0 | x = 1 | Factor as (x - 1)^2 = 0, so root is 1 (double root). Sum of roots = 2, product = 1. | quadratic |
731,912 | arithmetic | easy | What is 910 - 676? | 234 | Subtract: 910 - 676 = 234. | basic_operations |
731,913 | word_problems | easy | If you have 21 pencils and you buy 25 more pencils, how many pencils do you have in total? | 46 | Add initial 21 plus bought 25: 21+25=46. | addition_word |
731,914 | algebra | medium | Solve for x: x^2 + 3x - 54 = 0 | x = 6, -9 | Factor: (x - 6)(x - -9) = x^2 -(-3)x + -54 = 0. So x = 6 or -9. Check sum = -3, product = -54. | quadratic |
731,915 | arithmetic | easy | What is 8508 divided by 93? Give answer to 2 decimal places. | 91.48 | Calculate 8508/ 93 = 91.4839, rounded to 2 decimals is 91.48. | division |
731,916 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
731,917 | fractions | medium | What is 19/3 * 15/14? Give as simplified fraction. | 95/14 | Multiply numerators: 19*15=285. Denominators: 3*14=42. Simplify by gcd 3 to get 95/14. | fraction_operations |
731,918 | algebra | medium | Solve for x: x^2 - 13x + 30 = 0 | x = 10, 3 | Factor: (x - 10)(x - 3) = x^2 -(13)x + 30 = 0. So x = 10 or 3. Check sum = 13, product = 30. | quadratic |
731,919 | word_problems | easy | If you have 77 apples and you buy 49 more apples, how many apples do you have in total? | 126 | Add initial 77 plus bought 49: 77+49=126. | addition_word |
731,920 | 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 |
731,921 | statistics | easy | What is the mean (average) of 72, 43, 91, 87, 73? | 73.2 | Mean = sum/count. Sum = 72+43+91+87+73=366. Count=5. Mean=366/5=73.2. | mean |
731,922 | algebra | easy | Solve for x: 15x - 33 = -288 | -17 | Add 33 to both sides: 15x = -288+33=-255. Then x = -255/15 = -17. | linear_equation |
731,923 | statistics | easy | What is the mean (average) of 15, 65, 73, 49, 26? | 45.6 | Mean = sum/count. Sum = 15+65+73+49+26=228. Count=5. Mean=228/5=45.6. | mean |
731,924 | arithmetic | easy | What is 809 + 485? | 1294 | Add the two numbers: 809 + 485 = 1294. | basic_operations |
731,925 | 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 |
731,926 | word_problems | easy | If you have 35 apples and you buy 47 more apples, how many apples do you have in total? | 82 | Add initial 35 plus bought 47: 35+47=82. | addition_word |
731,927 | arithmetic | easy | What is 964 + 412 * 82? Remember order of operations. | 34748 | Order of operations (PEMDAS): first 412*82=33784, then 964+33784=34748. | basic_operations |
731,928 | 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 |
731,929 | roots | easy | What is the square root of 2304? | 48 | Find number that when squared gives 2304. 48*48=2304, so sqrt(2304)=48. | square_roots |
731,930 | word_problems | easy | If you have 32 pencils and you buy 35 more pencils, how many pencils do you have in total? | 67 | Add initial 32 plus bought 35: 32+35=67. | addition_word |
731,931 | arithmetic | easy | What is 955 + 351? | 1306 | Add the two numbers: 955 + 351 = 1306. | basic_operations |
731,932 | number_theory | medium | What is the LCM (least common multiple) of 95 and 80? | 1520 | LCM = |95*80| / GCD(95,80). GCD=5, so LCM=7600/5=1520. | lcm |
731,933 | word_problems | easy | If you have 67 candies and you buy 2 more candies, how many candies do you have in total? | 69 | Add initial 67 plus bought 2: 67+2=69. | addition_word |
731,934 | percentages | easy | What is 47% of 317? | 148.99 | Calculate 47/100 * 317 = 0.47*317 = 148.99. | percentages |
731,935 | algebra | easy | Solve for x: 12x - 5 = 199 | 17 | Add 5 to both sides: 12x = 199+5=204. Then x = 204/12 = 17. | linear_equation |
731,936 | number_theory | medium | What is the LCM (least common multiple) of 16 and 92? | 368 | LCM = |16*92| / GCD(16,92). GCD=4, so LCM=1472/4=368. | lcm |
731,937 | algebra | medium | Solve for x: x^2 + 9x - 10 = 0 | x = 1, -10 | Factor: (x - 1)(x - -10) = x^2 -(-9)x + -10 = 0. So x = 1 or -10. Check sum = -9, product = -10. | quadratic |
731,938 | arithmetic | easy | What is 2128 / 76? | 28 | Divide: 2128 ÷ 76 = 28 because 76*28=2128. | division |
731,939 | geometry | easy | Find the circumference of a circle with radius 18. Use pi=3.14159, round to 2 decimals. | 113.1 | Circumference = 2*pi*r = 2*3.14159*18 = 113.1. | circle_circum |
731,940 | geometry | easy | Find the area of a circle with radius 8. Use pi=3.14159, round to 2 decimals. | 201.06 | Area = pi*r^2 = 3.14159*8^2 = 3.14159*64 = 201.06. | circle_area |
731,941 | word_problems | easy | If you have 40 candies and you buy 49 more candies, how many candies do you have in total? | 89 | Add initial 40 plus bought 49: 40+49=89. | addition_word |
731,942 | number_theory | medium | What is the GCD (greatest common divisor) of 33 and 31? | 1 | Find greatest number dividing both 33 and 31. Divisors common, greatest is 1. | gcd |
731,943 | algebra | easy | Solve for x: 3x + 32 = 86 | 18 | Subtract 32 from both sides: 3x = 86-32=54. Then divide by 3: x = 54/3 = 18. | linear_equation |
731,944 | number_theory | medium | What is the GCD (greatest common divisor) of 38 and 63? | 1 | Find greatest number dividing both 38 and 63. Divisors common, greatest is 1. | gcd |
731,945 | arithmetic | easy | What is 495 + 722? | 1217 | Add the two numbers: 495 + 722 = 1217. | basic_operations |
731,946 | statistics | easy | What is the mean (average) of 85, 88, 48, 40? | 65.25 | Mean = sum/count. Sum = 85+88+48+40=261. Count=4. Mean=261/4=65.25. | mean |
731,947 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
731,948 | arithmetic | easy | What is 13 + 5 * 4? Remember order of operations. | 33 | Order of operations (PEMDAS): first 5*4=20, then 13+20=33. | basic_operations |
731,949 | calculus | medium | What is the derivative of 10x^7 with respect to x? | 70x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^7] = 10*7*x^6 = 70x^6. | derivative |
731,950 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
731,951 | number_theory | medium | What is the GCD (greatest common divisor) of 86 and 44? | 2 | Find greatest number dividing both 86 and 44. Divisors common, greatest is 2. | gcd |
731,952 | arithmetic | easy | What is 21 * 33? | 693 | Multiply: 21 * 33 = 693. | basic_operations |
731,953 | percentages | easy | What is 8% of 305? | 24.4 | Calculate 8/100 * 305 = 0.08*305 = 24.4. | percentages |
731,954 | roots | easy | What is the square root of 1156? | 34 | Find number that when squared gives 1156. 34*34=1156, so sqrt(1156)=34. | square_roots |
731,955 | roots | easy | What is the square root of 1156? | 34 | Find number that when squared gives 1156. 34*34=1156, so sqrt(1156)=34. | square_roots |
731,956 | algebra | medium | Solve for x: x^2 + 12x + 27 = 0 | x = -3, -9 | Factor: (x - -3)(x - -9) = x^2 -(-12)x + 27 = 0. So x = -3 or -9. Check sum = -12, product = 27. | quadratic |
731,957 | fractions | medium | What is 7/16 * 11/10? Give as simplified fraction. | 77/160 | Multiply numerators: 7*11=77. Denominators: 16*10=160. Simplify by gcd 1 to get 77/160. | fraction_operations |
731,958 | calculus | medium | What is the derivative of 9x^7 with respect to x? | 63x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^7] = 9*7*x^6 = 63x^6. | derivative |
731,959 | word_problems | easy | If you have 23 candies and you buy 21 more candies, how many candies do you have in total? | 44 | Add initial 23 plus bought 21: 23+21=44. | addition_word |
731,960 | number_theory | medium | What is the GCD (greatest common divisor) of 14 and 71? | 1 | Find greatest number dividing both 14 and 71. Divisors common, greatest is 1. | gcd |
731,961 | arithmetic | easy | What is 34 * 18? | 612 | Multiply: 34 * 18 = 612. | basic_operations |
731,962 | algebra | medium | Solve for x: x^2 - 4x - 12 = 0 | x = 6, -2 | Factor: (x - 6)(x - -2) = x^2 -(4)x + -12 = 0. So x = 6 or -2. Check sum = 4, product = -12. | quadratic |
731,963 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
731,964 | arithmetic | easy | What is 69 + 97 * 78? Remember order of operations. | 7635 | Order of operations (PEMDAS): first 97*78=7566, then 69+7566=7635. | basic_operations |
731,965 | arithmetic | easy | What is 987 + 645? | 1632 | Add the two numbers: 987 + 645 = 1632. | basic_operations |
731,966 | statistics | easy | What is the mean (average) of 44, 19, 87? | 50 | Mean = sum/count. Sum = 44+19+87=150. Count=3. Mean=150/3=50.0. | mean |
731,967 | arithmetic | easy | What is 10546 divided by 63? Give answer to 2 decimal places. | 167.4 | Calculate 10546/ 63 = 167.3968, rounded to 2 decimals is 167.4. | division |
731,968 | arithmetic | easy | What is 708 - 441? | 267 | Subtract: 708 - 441 = 267. | basic_operations |
731,969 | calculus | medium | What is the derivative of 2x^2 with respect to x? | 4x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^2] = 2*2*x^1 = 4x. | derivative |
731,970 | number_theory | medium | What is the GCD (greatest common divisor) of 60 and 7? | 1 | Find greatest number dividing both 60 and 7. Divisors common, greatest is 1. | gcd |
731,971 | number_theory | medium | What is the LCM (least common multiple) of 11 and 80? | 880 | LCM = |11*80| / GCD(11,80). GCD=1, so LCM=880/1=880. | lcm |
731,972 | number_theory | medium | What is the GCD (greatest common divisor) of 54 and 57? | 3 | Find greatest number dividing both 54 and 57. Divisors common, greatest is 3. | gcd |
731,973 | 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 |
731,974 | calculus | medium | What is the derivative of 2x^2 with respect to x? | 4x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^2] = 2*2*x^1 = 4x. | derivative |
731,975 | arithmetic | easy | What is 665 - 349? | 316 | Subtract: 665 - 349 = 316. | basic_operations |
731,976 | calculus | medium | What is the derivative of 6x^8 with respect to x? | 48x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^8] = 6*8*x^7 = 48x^7. | derivative |
731,977 | arithmetic | easy | What is 748 / 2? | 374 | Divide: 748 ÷ 2 = 374 because 2*374=748. | division |
731,978 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
731,979 | geometry | easy | Find the area of a circle with radius 22. Use pi=3.14159, round to 2 decimals. | 1520.53 | Area = pi*r^2 = 3.14159*22^2 = 3.14159*484 = 1520.53. | circle_area |
731,980 | arithmetic | easy | What is 30 * 31? | 930 | Multiply: 30 * 31 = 930. | basic_operations |
731,981 | number_theory | medium | What is the GCD (greatest common divisor) of 38 and 81? | 1 | Find greatest number dividing both 38 and 81. Divisors common, greatest is 1. | gcd |
731,982 | 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 |
731,983 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
731,984 | arithmetic | easy | What is 47 + 5 * 86? Remember order of operations. | 477 | Order of operations (PEMDAS): first 5*86=430, then 47+430=477. | basic_operations |
731,985 | arithmetic | easy | What is 76 + 594? | 670 | Add the two numbers: 76 + 594 = 670. | basic_operations |
731,986 | calculus | medium | What is the derivative of 10x^5 with respect to x? | 50x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^5] = 10*5*x^4 = 50x^4. | derivative |
731,987 | 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 |
731,988 | 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 |
731,989 | percentages | easy | What is 64% of 185? | 118.4 | Calculate 64/100 * 185 = 0.64*185 = 118.4. | percentages |
731,990 | percentages | easy | What is 60% of 42? | 25.2 | Calculate 60/100 * 42 = 0.6*42 = 25.2. | percentages |
731,991 | 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 |
731,992 | fractions | medium | What is 7/8 + 9/14? Give as simplified fraction. | 85/56 | Common denominator 8*14=112. 7/8=98/112, 9/14=72/112. Sum = 170/112 = 85/56 simplified. | fraction_operations |
731,993 | number_theory | medium | What is the LCM (least common multiple) of 9 and 79? | 711 | LCM = |9*79| / GCD(9,79). GCD=1, so LCM=711/1=711. | lcm |
731,994 | word_problems | easy | If you have 19 pencils and you buy 37 more pencils, how many pencils do you have in total? | 56 | Add initial 19 plus bought 37: 19+37=56. | addition_word |
731,995 | roots | easy | What is the square root of 1? | 1 | Find number that when squared gives 1. 1*1=1, so sqrt(1)=1. | square_roots |
731,996 | arithmetic | easy | What is 24 * 9? | 216 | Multiply: 24 * 9 = 216. | basic_operations |
731,997 | arithmetic | easy | What is 233 + 96? | 329 | Add the two numbers: 233 + 96 = 329. | basic_operations |
731,998 | algebra | easy | Solve for x: 15x + 45 = -150 | -13 | Subtract 45 from both sides: 15x = -150-45=-195. Then divide by 15: x = -195/15 = -13. | linear_equation |
731,999 | 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 |
732,000 | percentages | easy | What is 80% of 355? | 284 | Calculate 80/100 * 355 = 0.8*355 = 284. | percentages |
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