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 |
|---|---|---|---|---|---|---|
2,001 | arithmetic | easy | What is 2263 / 73? | 31 | Divide: 2263 ÷ 73 = 31 because 73*31=2263. | division |
2,002 | percentages | easy | What is 61% of 931? | 567.91 | Calculate 61/100 * 931 = 0.61*931 = 567.91. | percentages |
2,003 | number_theory | medium | What is the GCD (greatest common divisor) of 78 and 86? | 2 | Find greatest number dividing both 78 and 86. Divisors common, greatest is 2. | gcd |
2,004 | arithmetic | easy | What is 517 - 260? | 257 | Subtract: 517 - 260 = 257. | basic_operations |
2,005 | calculus | medium | What is the derivative of 6x^7 with respect to x? | 42x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^7] = 6*7*x^6 = 42x^6. | derivative |
2,006 | algebra | easy | Solve for x: 18x - 45 = 261 | 17 | Add 45 to both sides: 18x = 261+45=306. Then x = 306/18 = 17. | linear_equation |
2,007 | algebra | medium | Solve for x: x^2 + 7x + 10 = 0 | x = -2, -5 | Factor: (x - -2)(x - -5) = x^2 -(-7)x + 10 = 0. So x = -2 or -5. Check sum = -7, product = 10. | quadratic |
2,008 | statistics | easy | What is the mean (average) of 60, 17, 12, 41? | 32.5 | Mean = sum/count. Sum = 60+17+12+41=130. Count=4. Mean=130/4=32.5. | mean |
2,009 | 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 |
2,010 | geometry | easy | Find the area of a rectangle with length 41 and width 6. | 246 | Area = length * width = 41*6 = 246. | rectangle_area |
2,011 | algebra | easy | Solve for x: 16x - 15 = 33 | 3 | Add 15 to both sides: 16x = 33+15=48. Then x = 48/16 = 3. | linear_equation |
2,012 | 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 |
2,013 | geometry | easy | Find the area of a triangle with base 98 and height 34. | 1666 | Area = 0.5*base*height = 0.5*98*34 = 1666. | triangle_area |
2,014 | roots | easy | What is the square root of 784? | 28 | Find number that when squared gives 784. 28*28=784, so sqrt(784)=28. | square_roots |
2,015 | algebra | medium | Solve for x: x^2 - 5x = 0 | x = 0, 5 | Factor: (x - 0)(x - 5) = x^2 -(5)x + 0 = 0. So x = 0 or 5. Check sum = 5, product = 0. | quadratic |
2,016 | algebra | easy | Solve for x: 18x + 34 = 394 | 20 | Subtract 34 from both sides: 18x = 394-34=360. Then divide by 18: x = 360/18 = 20. | linear_equation |
2,017 | word_problems | easy | If you have 11 books and you buy 13 more books, how many books do you have in total? | 24 | Add initial 11 plus bought 13: 11+13=24. | addition_word |
2,018 | arithmetic | easy | What is 236 + 188 * 5? Remember order of operations. | 1176 | Order of operations (PEMDAS): first 188*5=940, then 236+940=1176. | basic_operations |
2,019 | word_problems | easy | If you have 60 candies and you buy 8 more candies, how many candies do you have in total? | 68 | Add initial 60 plus bought 8: 60+8=68. | addition_word |
2,020 | arithmetic | easy | What is 63 * 59? | 3717 | Multiply: 63 * 59 = 3717. | basic_operations |
2,021 | algebra | easy | Solve for x: 4x - 6 = -66 | -15 | Add 6 to both sides: 4x = -66+6=-60. Then x = -60/4 = -15. | linear_equation |
2,022 | fractions | medium | What is 10/7 - 6/18? Give as simplified fraction. | 23/21 | Common denominator 126. Numerator 180-42=138. So 138/126 simplifies to 23/21. | fraction_operations |
2,023 | fractions | medium | What is 19/2 + 17/20? Give as simplified fraction. | 207/20 | Common denominator 2*20=40. 19/2=380/40, 17/20=34/40. Sum = 414/40 = 207/20 simplified. | fraction_operations |
2,024 | 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 |
2,025 | percentages | easy | What is 99% of 511? | 505.89 | Calculate 99/100 * 511 = 0.99*511 = 505.89. | percentages |
2,026 | arithmetic | easy | What is 616 / 44? | 14 | Divide: 616 ÷ 44 = 14 because 44*14=616. | division |
2,027 | calculus | medium | What is the derivative of 10x^4 with respect to x? | 40x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^4] = 10*4*x^3 = 40x^3. | derivative |
2,028 | arithmetic | easy | What is 3397 / 43? | 79 | Divide: 3397 ÷ 43 = 79 because 43*79=3397. | division |
2,029 | word_problems | easy | If you have 95 candies and you buy 43 more candies, how many candies do you have in total? | 138 | Add initial 95 plus bought 43: 95+43=138. | addition_word |
2,030 | word_problems | easy | If you have 85 pencils and you buy 18 more pencils, how many pencils do you have in total? | 103 | Add initial 85 plus bought 18: 85+18=103. | addition_word |
2,031 | arithmetic | easy | What is 80 * 58? | 4640 | Multiply: 80 * 58 = 4640. | basic_operations |
2,032 | algebra | easy | Solve for x: 7x - 44 = -58 | -2 | Add 44 to both sides: 7x = -58+44=-14. Then x = -14/7 = -2. | linear_equation |
2,033 | roots | easy | What is the square root of 16? | 4 | Find number that when squared gives 16. 4*4=16, so sqrt(16)=4. | square_roots |
2,034 | arithmetic | easy | What is 975 + 561 * 78? Remember order of operations. | 44733 | Order of operations (PEMDAS): first 561*78=43758, then 975+43758=44733. | basic_operations |
2,035 | geometry | easy | Find the perimeter of a rectangle with length 31 and width 99. | 260 | Perimeter = 2*(length+width) = 2*(31+99) = 2*130 = 260. | rectangle_perim |
2,036 | 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 |
2,037 | fractions | medium | What is 6/14 * 13/11? Give as simplified fraction. | 39/77 | Multiply numerators: 6*13=78. Denominators: 14*11=154. Simplify by gcd 2 to get 39/77. | fraction_operations |
2,038 | algebra | easy | Solve for x: 4x - 12 = 32 | 11 | Add 12 to both sides: 4x = 32+12=44. Then x = 44/4 = 11. | linear_equation |
2,039 | 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 |
2,040 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
2,041 | number_theory | medium | What is the LCM (least common multiple) of 86 and 13? | 1118 | LCM = |86*13| / GCD(86,13). GCD=1, so LCM=1118/1=1118. | lcm |
2,042 | fractions | medium | What is 16/16 - 13/17? Give as simplified fraction. | 4/17 | Common denominator 272. Numerator 272-208=64. So 64/272 simplifies to 4/17. | fraction_operations |
2,043 | 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 |
2,044 | 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 |
2,045 | number_theory | medium | What is the LCM (least common multiple) of 79 and 24? | 1896 | LCM = |79*24| / GCD(79,24). GCD=1, so LCM=1896/1=1896. | lcm |
2,046 | 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 |
2,047 | arithmetic | easy | What is 29 * 83? | 2407 | Multiply: 29 * 83 = 2407. | basic_operations |
2,048 | algebra | easy | Solve for x: 16x + 17 = 337 | 20 | Subtract 17 from both sides: 16x = 337-17=320. Then divide by 16: x = 320/16 = 20. | linear_equation |
2,049 | arithmetic | easy | What is 298 + 480? | 778 | Add the two numbers: 298 + 480 = 778. | basic_operations |
2,050 | statistics | easy | What is the mean (average) of 20, 17, 88, 39? | 41 | Mean = sum/count. Sum = 20+17+88+39=164. Count=4. Mean=164/4=41.0. | mean |
2,051 | percentages | easy | What is 67% of 438? | 293.46 | Calculate 67/100 * 438 = 0.67*438 = 293.46. | percentages |
2,052 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
2,053 | arithmetic | easy | What is 940 + 47? | 987 | Add the two numbers: 940 + 47 = 987. | basic_operations |
2,054 | 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 |
2,055 | word_problems | easy | If you have 89 pencils and you buy 47 more pencils, how many pencils do you have in total? | 136 | Add initial 89 plus bought 47: 89+47=136. | addition_word |
2,056 | geometry | easy | Find the area of a circle with radius 17. Use pi=3.14159, round to 2 decimals. | 907.92 | Area = pi*r^2 = 3.14159*17^2 = 3.14159*289 = 907.92. | circle_area |
2,057 | arithmetic | easy | What is 788 + 516? | 1304 | Add the two numbers: 788 + 516 = 1304. | basic_operations |
2,058 | word_problems | easy | If you have 27 candies and you buy 12 more candies, how many candies do you have in total? | 39 | Add initial 27 plus bought 12: 27+12=39. | addition_word |
2,059 | arithmetic | easy | What is 427 - 86? | 341 | Subtract: 427 - 86 = 341. | basic_operations |
2,060 | word_problems | easy | If you have 90 pencils and you buy 29 more pencils, how many pencils do you have in total? | 119 | Add initial 90 plus bought 29: 90+29=119. | addition_word |
2,061 | geometry | easy | Find the area of a circle with radius 12. Use pi=3.14159, round to 2 decimals. | 452.39 | Area = pi*r^2 = 3.14159*12^2 = 3.14159*144 = 452.39. | circle_area |
2,062 | fractions | medium | What is 6/4 * 20/10? Give as simplified fraction. | 3 | Multiply numerators: 6*20=120. Denominators: 4*10=40. Simplify by gcd 40 to get 3. | fraction_operations |
2,063 | arithmetic | easy | What is 15618 / 57? | 274 | Divide: 15618 ÷ 57 = 274 because 57*274=15618. | division |
2,064 | 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 |
2,065 | algebra | medium | Solve for x: x^2 - 15x + 50 = 0 | x = 10, 5 | Factor: (x - 10)(x - 5) = x^2 -(15)x + 50 = 0. So x = 10 or 5. Check sum = 15, product = 50. | quadratic |
2,066 | word_problems | easy | If you have 93 pencils and you buy 26 more pencils, how many pencils do you have in total? | 119 | Add initial 93 plus bought 26: 93+26=119. | addition_word |
2,067 | statistics | easy | What is the mean (average) of 80, 79, 47, 89? | 73.75 | Mean = sum/count. Sum = 80+79+47+89=295. Count=4. Mean=295/4=73.75. | mean |
2,068 | calculus | medium | What is the derivative of 5x^8 with respect to x? | 40x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^8] = 5*8*x^7 = 40x^7. | derivative |
2,069 | arithmetic | easy | What is 129 + 139 * 2? Remember order of operations. | 407 | Order of operations (PEMDAS): first 139*2=278, then 129+278=407. | basic_operations |
2,070 | arithmetic | easy | What is 713 + 994 * 25? Remember order of operations. | 25563 | Order of operations (PEMDAS): first 994*25=24850, then 713+24850=25563. | basic_operations |
2,071 | algebra | easy | Solve for x: 8x + 5 = 165 | 20 | Subtract 5 from both sides: 8x = 165-5=160. Then divide by 8: x = 160/8 = 20. | linear_equation |
2,072 | fractions | medium | What is 3/11 - 15/6? Give as simplified fraction. | -49/22 | Common denominator 66. Numerator 18-165=-147. So -147/66 simplifies to -49/22. | fraction_operations |
2,073 | 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 |
2,074 | arithmetic | easy | What is 10654 divided by 23? Give answer to 2 decimal places. | 463.22 | Calculate 10654/ 23 = 463.2174, rounded to 2 decimals is 463.22. | division |
2,075 | statistics | easy | What is the mean (average) of 3, 58, 75, 32? | 42 | Mean = sum/count. Sum = 3+58+75+32=168. Count=4. Mean=168/4=42.0. | mean |
2,076 | fractions | medium | What is 10/20 - 13/3? Give as simplified fraction. | -23/6 | Common denominator 60. Numerator 30-260=-230. So -230/60 simplifies to -23/6. | fraction_operations |
2,077 | arithmetic | easy | What is 646 - 106? | 540 | Subtract: 646 - 106 = 540. | basic_operations |
2,078 | statistics | easy | What is the mean (average) of 75, 77, 94, 71, 38? | 71 | Mean = sum/count. Sum = 75+77+94+71+38=355. Count=5. Mean=355/5=71.0. | mean |
2,079 | arithmetic | easy | What is 76 * 93? | 7068 | Multiply: 76 * 93 = 7068. | basic_operations |
2,080 | statistics | easy | What is the mean (average) of 92, 8, 68? | 56 | Mean = sum/count. Sum = 92+8+68=168. Count=3. Mean=168/3=56.0. | mean |
2,081 | arithmetic | easy | What is 9 * 35? | 315 | Multiply: 9 * 35 = 315. | basic_operations |
2,082 | 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 |
2,083 | arithmetic | easy | What is 20780 divided by 65? Give answer to 2 decimal places. | 319.69 | Calculate 20780/ 65 = 319.6923, rounded to 2 decimals is 319.69. | division |
2,084 | 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 |
2,085 | algebra | medium | Solve for x: x^2 + 5x + 4 = 0 | x = -1, -4 | Factor: (x - -1)(x - -4) = x^2 -(-5)x + 4 = 0. So x = -1 or -4. Check sum = -5, product = 4. | quadratic |
2,086 | statistics | easy | What is the mean (average) of 57, 30, 65, 29? | 45.25 | Mean = sum/count. Sum = 57+30+65+29=181. Count=4. Mean=181/4=45.25. | mean |
2,087 | roots | easy | What is the square root of 1521? | 39 | Find number that when squared gives 1521. 39*39=1521, so sqrt(1521)=39. | square_roots |
2,088 | word_problems | easy | If you have 21 candies and you buy 19 more candies, how many candies do you have in total? | 40 | Add initial 21 plus bought 19: 21+19=40. | addition_word |
2,089 | 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 |
2,090 | number_theory | medium | What is the GCD (greatest common divisor) of 61 and 21? | 1 | Find greatest number dividing both 61 and 21. Divisors common, greatest is 1. | gcd |
2,091 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
2,092 | algebra | easy | Solve for x: 6x - 25 = -85 | -10 | Add 25 to both sides: 6x = -85+25=-60. Then x = -60/6 = -10. | linear_equation |
2,093 | statistics | easy | What is the mean (average) of 54, 64, 39? | 52.33 | Mean = sum/count. Sum = 54+64+39=157. Count=3. Mean=157/3=52.33. | mean |
2,094 | percentages | easy | What is 27% of 571? | 154.17 | Calculate 27/100 * 571 = 0.27*571 = 154.17. | percentages |
2,095 | arithmetic | easy | What is 368 - 19? | 349 | Subtract: 368 - 19 = 349. | basic_operations |
2,096 | 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 |
2,097 | arithmetic | easy | What is 30 * 16? | 480 | Multiply: 30 * 16 = 480. | basic_operations |
2,098 | statistics | easy | What is the mean (average) of 44, 46, 99, 6? | 48.75 | Mean = sum/count. Sum = 44+46+99+6=195. Count=4. Mean=195/4=48.75. | mean |
2,099 | geometry | easy | Find the perimeter of a rectangle with length 89 and width 66. | 310 | Perimeter = 2*(length+width) = 2*(89+66) = 2*155 = 310. | rectangle_perim |
2,100 | arithmetic | easy | What is 2449 divided by 92? Give answer to 2 decimal places. | 26.62 | Calculate 2449/ 92 = 26.6196, rounded to 2 decimals is 26.62. | division |
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