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 |
|---|---|---|---|---|---|---|
6,801 | arithmetic | easy | What is 2086 / 14? | 149 | Divide: 2086 ÷ 14 = 149 because 14*149=2086. | division |
6,802 | arithmetic | easy | What is 414 + 419 * 62? Remember order of operations. | 26392 | Order of operations (PEMDAS): first 419*62=25978, then 414+25978=26392. | basic_operations |
6,803 | arithmetic | easy | What is 73 + 19 * 95? Remember order of operations. | 1878 | Order of operations (PEMDAS): first 19*95=1805, then 73+1805=1878. | basic_operations |
6,804 | calculus | medium | What is the derivative of 4x^5 with respect to x? | 20x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^5] = 4*5*x^4 = 20x^4. | derivative |
6,805 | fractions | medium | What is 17/6 + 5/6? Give as simplified fraction. | 11/3 | Common denominator 6*6=36. 17/6=102/36, 5/6=30/36. Sum = 132/36 = 11/3 simplified. | fraction_operations |
6,806 | geometry | easy | Find the area of a rectangle with length 5 and width 41. | 205 | Area = length * width = 5*41 = 205. | rectangle_area |
6,807 | percentages | easy | What is 76% of 134? | 101.84 | Calculate 76/100 * 134 = 0.76*134 = 101.84. | percentages |
6,808 | algebra | medium | Solve for x: x^2 + 14x + 45 = 0 | x = -5, -9 | Factor: (x - -5)(x - -9) = x^2 -(-14)x + 45 = 0. So x = -5 or -9. Check sum = -14, product = 45. | quadratic |
6,809 | number_theory | medium | What is the GCD (greatest common divisor) of 49 and 18? | 1 | Find greatest number dividing both 49 and 18. Divisors common, greatest is 1. | gcd |
6,810 | arithmetic | easy | What is 32594 / 86? | 379 | Divide: 32594 ÷ 86 = 379 because 86*379=32594. | division |
6,811 | arithmetic | easy | What is 777 - 117? | 660 | Subtract: 777 - 117 = 660. | basic_operations |
6,812 | fractions | medium | What is 8/20 + 4/8? Give as simplified fraction. | 9/10 | Common denominator 20*8=160. 8/20=64/160, 4/8=80/160. Sum = 144/160 = 9/10 simplified. | fraction_operations |
6,813 | algebra | medium | Solve for x: x^2 + 4x - 5 = 0 | x = 1, -5 | Factor: (x - 1)(x - -5) = x^2 -(-4)x + -5 = 0. So x = 1 or -5. Check sum = -4, product = -5. | quadratic |
6,814 | calculus | medium | What is the derivative of 4x^2 with respect to x? | 8x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^2] = 4*2*x^1 = 8x. | derivative |
6,815 | 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 |
6,816 | geometry | easy | Find the area of a circle with radius 27. Use pi=3.14159, round to 2 decimals. | 2290.22 | Area = pi*r^2 = 3.14159*27^2 = 3.14159*729 = 2290.22. | circle_area |
6,817 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
6,818 | fractions | medium | What is 10/7 - 17/14? Give as simplified fraction. | 3/14 | Common denominator 98. Numerator 140-119=21. So 21/98 simplifies to 3/14. | fraction_operations |
6,819 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
6,820 | 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 |
6,821 | arithmetic | easy | What is 56 + 55 * 75? Remember order of operations. | 4181 | Order of operations (PEMDAS): first 55*75=4125, then 56+4125=4181. | basic_operations |
6,822 | algebra | medium | Solve for x: x^2 + 1x - 72 = 0 | x = -9, 8 | Factor: (x - -9)(x - 8) = x^2 -(-1)x + -72 = 0. So x = -9 or 8. Check sum = -1, product = -72. | quadratic |
6,823 | number_theory | medium | What is the LCM (least common multiple) of 32 and 56? | 224 | LCM = |32*56| / GCD(32,56). GCD=8, so LCM=1792/8=224. | lcm |
6,824 | statistics | easy | What is the mean (average) of 32, 36, 85, 74, 71? | 59.6 | Mean = sum/count. Sum = 32+36+85+74+71=298. Count=5. Mean=298/5=59.6. | mean |
6,825 | number_theory | medium | What is the LCM (least common multiple) of 23 and 80? | 1840 | LCM = |23*80| / GCD(23,80). GCD=1, so LCM=1840/1=1840. | lcm |
6,826 | percentages | easy | What is 46% of 415? | 190.9 | Calculate 46/100 * 415 = 0.46*415 = 190.9. | percentages |
6,827 | arithmetic | easy | What is 705 - 343? | 362 | Subtract: 705 - 343 = 362. | basic_operations |
6,828 | 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 |
6,829 | arithmetic | easy | What is 500 - 274? | 226 | Subtract: 500 - 274 = 226. | basic_operations |
6,830 | number_theory | medium | What is the GCD (greatest common divisor) of 32 and 82? | 2 | Find greatest number dividing both 32 and 82. Divisors common, greatest is 2. | gcd |
6,831 | 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 |
6,832 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
6,833 | statistics | easy | What is the mean (average) of 29, 32, 52, 75? | 47 | Mean = sum/count. Sum = 29+32+52+75=188. Count=4. Mean=188/4=47.0. | mean |
6,834 | number_theory | medium | What is the LCM (least common multiple) of 21 and 37? | 777 | LCM = |21*37| / GCD(21,37). GCD=1, so LCM=777/1=777. | lcm |
6,835 | geometry | easy | Find the circumference of a circle with radius 28. Use pi=3.14159, round to 2 decimals. | 175.93 | Circumference = 2*pi*r = 2*3.14159*28 = 175.93. | circle_circum |
6,836 | roots | easy | What is the square root of 1849? | 43 | Find number that when squared gives 1849. 43*43=1849, so sqrt(1849)=43. | square_roots |
6,837 | percentages | easy | What is 44% of 214? | 94.16 | Calculate 44/100 * 214 = 0.44*214 = 94.16. | percentages |
6,838 | 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 |
6,839 | 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 |
6,840 | percentages | easy | What is 20% of 297? | 59.4 | Calculate 20/100 * 297 = 0.2*297 = 59.4. | percentages |
6,841 | fractions | medium | What is 13/17 - 19/6? Give as simplified fraction. | -245/102 | Common denominator 102. Numerator 78-323=-245. So -245/102 simplifies to -245/102. | fraction_operations |
6,842 | arithmetic | easy | What is 10980 / 45? | 244 | Divide: 10980 ÷ 45 = 244 because 45*244=10980. | division |
6,843 | word_problems | easy | If you have 87 candies and you buy 45 more candies, how many candies do you have in total? | 132 | Add initial 87 plus bought 45: 87+45=132. | addition_word |
6,844 | fractions | medium | What is 18/9 + 11/10? Give as simplified fraction. | 31/10 | Common denominator 9*10=90. 18/9=180/90, 11/10=99/90. Sum = 279/90 = 31/10 simplified. | fraction_operations |
6,845 | exponents | easy | What is 8^4? | 4096 | 8^4 means multiply 8 by itself 4 times: 8*8*8*8 = 4096. | exponents |
6,846 | 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 |
6,847 | arithmetic | easy | What is 804 - 423? | 381 | Subtract: 804 - 423 = 381. | basic_operations |
6,848 | algebra | easy | Solve for x: 10x + 22 = 122 | 10 | Subtract 22 from both sides: 10x = 122-22=100. Then divide by 10: x = 100/10 = 10. | linear_equation |
6,849 | percentages | easy | What is 79% of 624? | 492.96 | Calculate 79/100 * 624 = 0.79*624 = 492.96. | percentages |
6,850 | arithmetic | easy | What is 426 + 99? | 525 | Add the two numbers: 426 + 99 = 525. | basic_operations |
6,851 | arithmetic | easy | What is 26 * 89? | 2314 | Multiply: 26 * 89 = 2314. | basic_operations |
6,852 | arithmetic | easy | What is 251 + 24? | 275 | Add the two numbers: 251 + 24 = 275. | basic_operations |
6,853 | calculus | medium | What is the derivative of 8x^2 with respect to x? | 16x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^2] = 8*2*x^1 = 16x. | derivative |
6,854 | algebra | medium | Solve for x: x^2 + 17x + 70 = 0 | x = -10, -7 | Factor: (x - -10)(x - -7) = x^2 -(-17)x + 70 = 0. So x = -10 or -7. Check sum = -17, product = 70. | quadratic |
6,855 | geometry | easy | Find the area of a triangle with base 79 and height 55. | 2172.5 | Area = 0.5*base*height = 0.5*79*55 = 2172.5. | triangle_area |
6,856 | statistics | easy | What is the mean (average) of 92, 3, 72, 18, 50? | 47 | Mean = sum/count. Sum = 92+3+72+18+50=235. Count=5. Mean=235/5=47.0. | mean |
6,857 | geometry | easy | Find the area of a triangle with base 27 and height 16. | 216 | Area = 0.5*base*height = 0.5*27*16 = 216. | triangle_area |
6,858 | algebra | easy | Solve for x: 4x - 14 = 6 | 5 | Add 14 to both sides: 4x = 6+14=20. Then x = 20/4 = 5. | linear_equation |
6,859 | fractions | medium | What is 19/11 + 15/14? Give as simplified fraction. | 431/154 | Common denominator 11*14=154. 19/11=266/154, 15/14=165/154. Sum = 431/154 = 431/154 simplified. | fraction_operations |
6,860 | roots | easy | What is the square root of 1764? | 42 | Find number that when squared gives 1764. 42*42=1764, so sqrt(1764)=42. | square_roots |
6,861 | geometry | easy | Find the perimeter of a rectangle with length 96 and width 75. | 342 | Perimeter = 2*(length+width) = 2*(96+75) = 2*171 = 342. | rectangle_perim |
6,862 | algebra | medium | Solve for x: x^2 - 1x - 2 = 0 | x = 2, -1 | Factor: (x - 2)(x - -1) = x^2 -(1)x + -2 = 0. So x = 2 or -1. Check sum = 1, product = -2. | quadratic |
6,863 | number_theory | medium | What is the GCD (greatest common divisor) of 97 and 52? | 1 | Find greatest number dividing both 97 and 52. Divisors common, greatest is 1. | gcd |
6,864 | fractions | medium | What is 20/5 * 15/6? Give as simplified fraction. | 10 | Multiply numerators: 20*15=300. Denominators: 5*6=30. Simplify by gcd 30 to get 10. | fraction_operations |
6,865 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
6,866 | 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 |
6,867 | geometry | easy | Find the area of a triangle with base 86 and height 11. | 473 | Area = 0.5*base*height = 0.5*86*11 = 473. | triangle_area |
6,868 | arithmetic | easy | What is 8239 divided by 25? Give answer to 2 decimal places. | 329.56 | Calculate 8239/ 25 = 329.5600, rounded to 2 decimals is 329.56. | division |
6,869 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
6,870 | arithmetic | easy | What is 4 * 53? | 212 | Multiply: 4 * 53 = 212. | basic_operations |
6,871 | percentages | easy | What is 28% of 337? | 94.36 | Calculate 28/100 * 337 = 0.28*337 = 94.36. | percentages |
6,872 | percentages | easy | What is 77% of 114? | 87.78 | Calculate 77/100 * 114 = 0.77*114 = 87.78. | percentages |
6,873 | arithmetic | easy | What is 108 + 979 * 50? Remember order of operations. | 49058 | Order of operations (PEMDAS): first 979*50=48950, then 108+48950=49058. | basic_operations |
6,874 | arithmetic | easy | What is 32 * 73? | 2336 | Multiply: 32 * 73 = 2336. | basic_operations |
6,875 | arithmetic | easy | What is 780 + 773 * 11? Remember order of operations. | 9283 | Order of operations (PEMDAS): first 773*11=8503, then 780+8503=9283. | basic_operations |
6,876 | geometry | easy | Find the area of a circle with radius 14. Use pi=3.14159, round to 2 decimals. | 615.75 | Area = pi*r^2 = 3.14159*14^2 = 3.14159*196 = 615.75. | circle_area |
6,877 | statistics | easy | What is the mean (average) of 54, 62, 85, 27, 88? | 63.2 | Mean = sum/count. Sum = 54+62+85+27+88=316. Count=5. Mean=316/5=63.2. | mean |
6,878 | geometry | easy | Find the area of a triangle with base 13 and height 37. | 240.5 | Area = 0.5*base*height = 0.5*13*37 = 240.5. | triangle_area |
6,879 | arithmetic | easy | What is 34 * 12? | 408 | Multiply: 34 * 12 = 408. | basic_operations |
6,880 | arithmetic | easy | What is 28 + 5 * 64? Remember order of operations. | 348 | Order of operations (PEMDAS): first 5*64=320, then 28+320=348. | basic_operations |
6,881 | geometry | easy | Find the area of a triangle with base 12 and height 14. | 84 | Area = 0.5*base*height = 0.5*12*14 = 84. | triangle_area |
6,882 | calculus | medium | What is the derivative of 5x^2 with respect to x? | 10x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^2] = 5*2*x^1 = 10x. | derivative |
6,883 | arithmetic | easy | What is 791 - 26? | 765 | Subtract: 791 - 26 = 765. | basic_operations |
6,884 | algebra | medium | Solve for x: x^2 + 15x + 54 = 0 | x = -9, -6 | Factor: (x - -9)(x - -6) = x^2 -(-15)x + 54 = 0. So x = -9 or -6. Check sum = -15, product = 54. | quadratic |
6,885 | 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 |
6,886 | 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 |
6,887 | calculus | medium | What is the derivative of 1x^6 with respect to x? | 6x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^6] = 1*6*x^5 = 6x^5. | derivative |
6,888 | arithmetic | easy | What is 898 + 636 * 78? Remember order of operations. | 50506 | Order of operations (PEMDAS): first 636*78=49608, then 898+49608=50506. | basic_operations |
6,889 | algebra | easy | Solve for x: 4x + 48 = 16 | -8 | Subtract 48 from both sides: 4x = 16-48=-32. Then divide by 4: x = -32/4 = -8. | linear_equation |
6,890 | geometry | easy | Find the area of a triangle with base 96 and height 43. | 2064 | Area = 0.5*base*height = 0.5*96*43 = 2064. | triangle_area |
6,891 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
6,892 | algebra | easy | Solve for x: 2x - 24 = -24 | 0 | Add 24 to both sides: 2x = -24+24=0. Then x = 0/2 = 0. | linear_equation |
6,893 | fractions | medium | What is 3/15 * 2/17? Give as simplified fraction. | 2/85 | Multiply numerators: 3*2=6. Denominators: 15*17=255. Simplify by gcd 3 to get 2/85. | fraction_operations |
6,894 | arithmetic | easy | What is 27456 / 64? | 429 | Divide: 27456 ÷ 64 = 429 because 64*429=27456. | division |
6,895 | fractions | medium | What is 18/14 - 2/4? Give as simplified fraction. | 11/14 | Common denominator 56. Numerator 72-28=44. So 44/56 simplifies to 11/14. | fraction_operations |
6,896 | statistics | easy | What is the mean (average) of 90, 12, 64? | 55.33 | Mean = sum/count. Sum = 90+12+64=166. Count=3. Mean=166/3=55.33. | mean |
6,897 | arithmetic | easy | What is 12572 / 28? | 449 | Divide: 12572 ÷ 28 = 449 because 28*449=12572. | division |
6,898 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
6,899 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
6,900 | algebra | medium | Solve for x: x^2 - 13x + 42 = 0 | x = 6, 7 | Factor: (x - 6)(x - 7) = x^2 -(13)x + 42 = 0. So x = 6 or 7. Check sum = 13, product = 42. | quadratic |
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