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 |
|---|---|---|---|---|---|---|
4,001 | arithmetic | easy | What is 720 + 577? | 1297 | Add the two numbers: 720 + 577 = 1297. | basic_operations |
4,002 | algebra | easy | Solve for x: 7x - 42 = -7 | 5 | Add 42 to both sides: 7x = -7+42=35. Then x = 35/7 = 5. | linear_equation |
4,003 | calculus | medium | What is the derivative of 1x^2 with respect to x? | 2x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^2] = 1*2*x^1 = 2x. | derivative |
4,004 | statistics | easy | What is the mean (average) of 60, 53, 23, 2? | 34.5 | Mean = sum/count. Sum = 60+53+23+2=138. Count=4. Mean=138/4=34.5. | mean |
4,005 | arithmetic | easy | What is 673 - 65? | 608 | Subtract: 673 - 65 = 608. | basic_operations |
4,006 | statistics | easy | What is the mean (average) of 35, 4, 86? | 41.67 | Mean = sum/count. Sum = 35+4+86=125. Count=3. Mean=125/3=41.67. | mean |
4,007 | geometry | easy | Find the perimeter of a rectangle with length 31 and width 89. | 240 | Perimeter = 2*(length+width) = 2*(31+89) = 2*120 = 240. | rectangle_perim |
4,008 | word_problems | easy | If you have 5 apples and you buy 42 more apples, how many apples do you have in total? | 47 | Add initial 5 plus bought 42: 5+42=47. | addition_word |
4,009 | 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 |
4,010 | statistics | easy | What is the mean (average) of 92, 96, 7? | 65 | Mean = sum/count. Sum = 92+96+7=195. Count=3. Mean=195/3=65.0. | mean |
4,011 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
4,012 | number_theory | medium | What is the GCD (greatest common divisor) of 59 and 61? | 1 | Find greatest number dividing both 59 and 61. Divisors common, greatest is 1. | gcd |
4,013 | number_theory | medium | What is the GCD (greatest common divisor) of 85 and 48? | 1 | Find greatest number dividing both 85 and 48. Divisors common, greatest is 1. | gcd |
4,014 | 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 |
4,015 | number_theory | medium | What is the LCM (least common multiple) of 53 and 23? | 1219 | LCM = |53*23| / GCD(53,23). GCD=1, so LCM=1219/1=1219. | lcm |
4,016 | number_theory | medium | What is the LCM (least common multiple) of 60 and 45? | 180 | LCM = |60*45| / GCD(60,45). GCD=15, so LCM=2700/15=180. | lcm |
4,017 | algebra | easy | Solve for x: 16x + 36 = 260 | 14 | Subtract 36 from both sides: 16x = 260-36=224. Then divide by 16: x = 224/16 = 14. | linear_equation |
4,018 | 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 |
4,019 | 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 |
4,020 | geometry | easy | Find the perimeter of a rectangle with length 43 and width 46. | 178 | Perimeter = 2*(length+width) = 2*(43+46) = 2*89 = 178. | rectangle_perim |
4,021 | word_problems | easy | If you have 62 pencils and you buy 49 more pencils, how many pencils do you have in total? | 111 | Add initial 62 plus bought 49: 62+49=111. | addition_word |
4,022 | algebra | medium | Solve for x: x^2 + 9x = 0 | x = -9, 0 | Factor: (x - -9)(x - 0) = x^2 -(-9)x + 0 = 0. So x = -9 or 0. Check sum = -9, product = 0. | quadratic |
4,023 | algebra | easy | Solve for x: 20x - 7 = 273 | 14 | Add 7 to both sides: 20x = 273+7=280. Then x = 280/20 = 14. | linear_equation |
4,024 | algebra | medium | Solve for x: x^2 - 2x - 48 = 0 | x = 8, -6 | Factor: (x - 8)(x - -6) = x^2 -(2)x + -48 = 0. So x = 8 or -6. Check sum = 2, product = -48. | quadratic |
4,025 | fractions | medium | What is 13/4 * 14/5? Give as simplified fraction. | 91/10 | Multiply numerators: 13*14=182. Denominators: 4*5=20. Simplify by gcd 2 to get 91/10. | fraction_operations |
4,026 | arithmetic | easy | What is 533 + 107 * 74? Remember order of operations. | 8451 | Order of operations (PEMDAS): first 107*74=7918, then 533+7918=8451. | basic_operations |
4,027 | algebra | medium | Solve for x: x^2 + 3x = 0 | x = -3, 0 | Factor: (x - -3)(x - 0) = x^2 -(-3)x + 0 = 0. So x = -3 or 0. Check sum = -3, product = 0. | quadratic |
4,028 | statistics | easy | What is the mean (average) of 42, 94, 48? | 61.33 | Mean = sum/count. Sum = 42+94+48=184. Count=3. Mean=184/3=61.33. | mean |
4,029 | 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 |
4,030 | percentages | easy | What is 74% of 360? | 266.4 | Calculate 74/100 * 360 = 0.74*360 = 266.4. | percentages |
4,031 | 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 |
4,032 | arithmetic | easy | What is 9861 divided by 30? Give answer to 2 decimal places. | 328.7 | Calculate 9861/ 30 = 328.7000, rounded to 2 decimals is 328.7. | division |
4,033 | algebra | easy | Solve for x: 7x + 41 = -99 | -20 | Subtract 41 from both sides: 7x = -99-41=-140. Then divide by 7: x = -140/7 = -20. | linear_equation |
4,034 | arithmetic | easy | What is 4810 / 65? | 74 | Divide: 4810 ÷ 65 = 74 because 65*74=4810. | division |
4,035 | percentages | easy | What is 97% of 416? | 403.52 | Calculate 97/100 * 416 = 0.97*416 = 403.52. | percentages |
4,036 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
4,037 | fractions | medium | What is 1/2 + 1/11? Give as simplified fraction. | 13/22 | Common denominator 2*11=22. 1/2=11/22, 1/11=2/22. Sum = 13/22 = 13/22 simplified. | fraction_operations |
4,038 | fractions | medium | What is 6/4 - 3/10? Give as simplified fraction. | 6/5 | Common denominator 40. Numerator 60-12=48. So 48/40 simplifies to 6/5. | fraction_operations |
4,039 | arithmetic | easy | What is 27127 divided by 56? Give answer to 2 decimal places. | 484.41 | Calculate 27127/ 56 = 484.4107, rounded to 2 decimals is 484.41. | division |
4,040 | arithmetic | easy | What is 715 - 612? | 103 | Subtract: 715 - 612 = 103. | basic_operations |
4,041 | fractions | medium | What is 10/15 - 20/20? Give as simplified fraction. | -1/3 | Common denominator 300. Numerator 200-300=-100. So -100/300 simplifies to -1/3. | fraction_operations |
4,042 | arithmetic | easy | What is 696 - 504? | 192 | Subtract: 696 - 504 = 192. | basic_operations |
4,043 | arithmetic | easy | What is 718 - 262? | 456 | Subtract: 718 - 262 = 456. | basic_operations |
4,044 | arithmetic | easy | What is 19768 / 56? | 353 | Divide: 19768 ÷ 56 = 353 because 56*353=19768. | division |
4,045 | statistics | easy | What is the mean (average) of 49, 5, 63? | 39 | Mean = sum/count. Sum = 49+5+63=117. Count=3. Mean=117/3=39.0. | mean |
4,046 | arithmetic | easy | What is 487 + 259 * 70? Remember order of operations. | 18617 | Order of operations (PEMDAS): first 259*70=18130, then 487+18130=18617. | basic_operations |
4,047 | arithmetic | easy | What is 11700 / 60? | 195 | Divide: 11700 ÷ 60 = 195 because 60*195=11700. | division |
4,048 | percentages | easy | What is 78% of 481? | 375.18 | Calculate 78/100 * 481 = 0.78*481 = 375.18. | percentages |
4,049 | arithmetic | easy | What is 58 * 28? | 1624 | Multiply: 58 * 28 = 1624. | basic_operations |
4,050 | arithmetic | easy | What is 1053 / 3? | 351 | Divide: 1053 ÷ 3 = 351 because 3*351=1053. | division |
4,051 | word_problems | easy | If you have 13 books and you buy 33 more books, how many books do you have in total? | 46 | Add initial 13 plus bought 33: 13+33=46. | addition_word |
4,052 | word_problems | easy | If you have 40 pencils and you buy 45 more pencils, how many pencils do you have in total? | 85 | Add initial 40 plus bought 45: 40+45=85. | addition_word |
4,053 | calculus | medium | What is the derivative of 9x^8 with respect to x? | 72x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^8] = 9*8*x^7 = 72x^7. | derivative |
4,054 | arithmetic | easy | What is 67 + 63 * 16? Remember order of operations. | 1075 | Order of operations (PEMDAS): first 63*16=1008, then 67+1008=1075. | basic_operations |
4,055 | word_problems | easy | If you have 42 apples and you buy 11 more apples, how many apples do you have in total? | 53 | Add initial 42 plus bought 11: 42+11=53. | addition_word |
4,056 | exponents | easy | What is 11^4? | 14641 | 11^4 means multiply 11 by itself 4 times: 11*11*11*11 = 14641. | exponents |
4,057 | 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 |
4,058 | algebra | easy | Solve for x: 3x - 25 = 5 | 10 | Add 25 to both sides: 3x = 5+25=30. Then x = 30/3 = 10. | linear_equation |
4,059 | statistics | easy | What is the mean (average) of 1, 50, 100? | 50.33 | Mean = sum/count. Sum = 1+50+100=151. Count=3. Mean=151/3=50.33. | mean |
4,060 | algebra | medium | Solve for x: x^2 + 7x - 18 = 0 | x = 2, -9 | Factor: (x - 2)(x - -9) = x^2 -(-7)x + -18 = 0. So x = 2 or -9. Check sum = -7, product = -18. | quadratic |
4,061 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
4,062 | roots | easy | What is the square root of 1936? | 44 | Find number that when squared gives 1936. 44*44=1936, so sqrt(1936)=44. | square_roots |
4,063 | statistics | easy | What is the mean (average) of 92, 57, 90? | 79.67 | Mean = sum/count. Sum = 92+57+90=239. Count=3. Mean=239/3=79.67. | mean |
4,064 | arithmetic | easy | What is 1190 / 14? | 85 | Divide: 1190 ÷ 14 = 85 because 14*85=1190. | division |
4,065 | arithmetic | easy | What is 56 * 3? | 168 | Multiply: 56 * 3 = 168. | basic_operations |
4,066 | number_theory | medium | What is the GCD (greatest common divisor) of 82 and 70? | 2 | Find greatest number dividing both 82 and 70. Divisors common, greatest is 2. | gcd |
4,067 | 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 |
4,068 | arithmetic | easy | What is 55 + 9 * 72? Remember order of operations. | 703 | Order of operations (PEMDAS): first 9*72=648, then 55+648=703. | basic_operations |
4,069 | geometry | easy | Find the area of a circle with radius 31. Use pi=3.14159, round to 2 decimals. | 3019.07 | Area = pi*r^2 = 3.14159*31^2 = 3.14159*961 = 3019.07. | circle_area |
4,070 | 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 |
4,071 | algebra | easy | Solve for x: 4x - 47 = -87 | -10 | Add 47 to both sides: 4x = -87+47=-40. Then x = -40/4 = -10. | linear_equation |
4,072 | arithmetic | easy | What is 585 + 192? | 777 | Add the two numbers: 585 + 192 = 777. | basic_operations |
4,073 | number_theory | medium | What is the LCM (least common multiple) of 72 and 34? | 1224 | LCM = |72*34| / GCD(72,34). GCD=2, so LCM=2448/2=1224. | lcm |
4,074 | arithmetic | easy | What is 995 + 809? | 1804 | Add the two numbers: 995 + 809 = 1804. | basic_operations |
4,075 | arithmetic | easy | What is 1533 / 73? | 21 | Divide: 1533 ÷ 73 = 21 because 73*21=1533. | division |
4,076 | algebra | easy | Solve for x: 10x - 33 = 17 | 5 | Add 33 to both sides: 10x = 17+33=50. Then x = 50/10 = 5. | linear_equation |
4,077 | arithmetic | easy | What is 381 + 62 * 66? Remember order of operations. | 4473 | Order of operations (PEMDAS): first 62*66=4092, then 381+4092=4473. | basic_operations |
4,078 | geometry | easy | Find the area of a triangle with base 68 and height 2. | 68 | Area = 0.5*base*height = 0.5*68*2 = 68. | triangle_area |
4,079 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
4,080 | percentages | easy | What is 62% of 821? | 509.02 | Calculate 62/100 * 821 = 0.62*821 = 509.02. | percentages |
4,081 | fractions | medium | What is 7/17 + 16/17? Give as simplified fraction. | 23/17 | Common denominator 17*17=289. 7/17=119/289, 16/17=272/289. Sum = 391/289 = 23/17 simplified. | fraction_operations |
4,082 | arithmetic | easy | What is 4776 / 24? | 199 | Divide: 4776 ÷ 24 = 199 because 24*199=4776. | division |
4,083 | algebra | easy | Solve for x: 5x + 15 = -40 | -11 | Subtract 15 from both sides: 5x = -40-15=-55. Then divide by 5: x = -55/5 = -11. | linear_equation |
4,084 | arithmetic | easy | What is 22 * 32? | 704 | Multiply: 22 * 32 = 704. | basic_operations |
4,085 | 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 |
4,086 | number_theory | medium | What is the LCM (least common multiple) of 29 and 34? | 986 | LCM = |29*34| / GCD(29,34). GCD=1, so LCM=986/1=986. | lcm |
4,087 | arithmetic | easy | What is 771 - 443? | 328 | Subtract: 771 - 443 = 328. | basic_operations |
4,088 | arithmetic | easy | What is 688 - 198? | 490 | Subtract: 688 - 198 = 490. | basic_operations |
4,089 | percentages | easy | What is 96% of 930? | 892.8 | Calculate 96/100 * 930 = 0.96*930 = 892.8. | percentages |
4,090 | algebra | easy | Solve for x: 16x + 28 = 220 | 12 | Subtract 28 from both sides: 16x = 220-28=192. Then divide by 16: x = 192/16 = 12. | linear_equation |
4,091 | 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 |
4,092 | algebra | medium | Solve for x: x^2 - 6x - 27 = 0 | x = -3, 9 | Factor: (x - -3)(x - 9) = x^2 -(6)x + -27 = 0. So x = -3 or 9. Check sum = 6, product = -27. | quadratic |
4,093 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
4,094 | 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 |
4,095 | arithmetic | easy | What is 428 + 68? | 496 | Add the two numbers: 428 + 68 = 496. | basic_operations |
4,096 | algebra | easy | Solve for x: 2x - 3 = -9 | -3 | Add 3 to both sides: 2x = -9+3=-6. Then x = -6/2 = -3. | linear_equation |
4,097 | 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 |
4,098 | 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 |
4,099 | 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 |
4,100 | statistics | easy | What is the mean (average) of 63, 50, 97, 89, 76? | 75 | Mean = sum/count. Sum = 63+50+97+89+76=375. Count=5. Mean=375/5=75.0. | mean |
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