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 |
|---|---|---|---|---|---|---|
733,801 | fractions | medium | What is 16/6 * 10/10? Give as simplified fraction. | 8/3 | Multiply numerators: 16*10=160. Denominators: 6*10=60. Simplify by gcd 20 to get 8/3. | fraction_operations |
733,802 | statistics | easy | What is the mean (average) of 50, 54, 83, 85, 9? | 56.2 | Mean = sum/count. Sum = 50+54+83+85+9=281. Count=5. Mean=281/5=56.2. | mean |
733,803 | geometry | easy | Find the area of a rectangle with length 97 and width 11. | 1067 | Area = length * width = 97*11 = 1067. | rectangle_area |
733,804 | word_problems | easy | If you have 57 candies and you buy 19 more candies, how many candies do you have in total? | 76 | Add initial 57 plus bought 19: 57+19=76. | addition_word |
733,805 | fractions | medium | What is 5/5 * 1/5? Give as simplified fraction. | 1/5 | Multiply numerators: 5*1=5. Denominators: 5*5=25. Simplify by gcd 5 to get 1/5. | fraction_operations |
733,806 | 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 |
733,807 | calculus | medium | What is the derivative of 2x^7 with respect to x? | 14x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^7] = 2*7*x^6 = 14x^6. | derivative |
733,808 | roots | easy | What is the square root of 81? | 9 | Find number that when squared gives 81. 9*9=81, so sqrt(81)=9. | square_roots |
733,809 | arithmetic | easy | What is 1068 / 4? | 267 | Divide: 1068 ÷ 4 = 267 because 4*267=1068. | division |
733,810 | percentages | easy | What is 24% of 535? | 128.4 | Calculate 24/100 * 535 = 0.24*535 = 128.4. | percentages |
733,811 | 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 |
733,812 | arithmetic | easy | What is 16473 / 51? | 323 | Divide: 16473 ÷ 51 = 323 because 51*323=16473. | division |
733,813 | 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 |
733,814 | algebra | easy | Solve for x: 15x - 1 = 89 | 6 | Add 1 to both sides: 15x = 89+1=90. Then x = 90/15 = 6. | linear_equation |
733,815 | arithmetic | easy | What is 756 + 692 * 32? Remember order of operations. | 22900 | Order of operations (PEMDAS): first 692*32=22144, then 756+22144=22900. | basic_operations |
733,816 | number_theory | medium | What is the GCD (greatest common divisor) of 93 and 17? | 1 | Find greatest number dividing both 93 and 17. Divisors common, greatest is 1. | gcd |
733,817 | number_theory | medium | What is the LCM (least common multiple) of 65 and 42? | 2730 | LCM = |65*42| / GCD(65,42). GCD=1, so LCM=2730/1=2730. | lcm |
733,818 | word_problems | easy | If you have 37 pencils and you buy 11 more pencils, how many pencils do you have in total? | 48 | Add initial 37 plus bought 11: 37+11=48. | addition_word |
733,819 | fractions | medium | What is 6/20 - 9/10? Give as simplified fraction. | -3/5 | Common denominator 200. Numerator 60-180=-120. So -120/200 simplifies to -3/5. | fraction_operations |
733,820 | fractions | medium | What is 19/11 + 18/8? Give as simplified fraction. | 175/44 | Common denominator 11*8=88. 19/11=152/88, 18/8=198/88. Sum = 350/88 = 175/44 simplified. | fraction_operations |
733,821 | arithmetic | easy | What is 56 * 42? | 2352 | Multiply: 56 * 42 = 2352. | basic_operations |
733,822 | calculus | medium | What is the derivative of 10x^3 with respect to x? | 30x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^3] = 10*3*x^2 = 30x^2. | derivative |
733,823 | arithmetic | easy | What is 826 + 939? | 1765 | Add the two numbers: 826 + 939 = 1765. | basic_operations |
733,824 | percentages | easy | What is 67% of 61? | 40.87 | Calculate 67/100 * 61 = 0.67*61 = 40.87. | percentages |
733,825 | geometry | easy | Find the circumference of a circle with radius 2. Use pi=3.14159, round to 2 decimals. | 12.57 | Circumference = 2*pi*r = 2*3.14159*2 = 12.57. | circle_circum |
733,826 | arithmetic | easy | What is 1967 / 7? | 281 | Divide: 1967 ÷ 7 = 281 because 7*281=1967. | division |
733,827 | arithmetic | easy | What is 9610 / 62? | 155 | Divide: 9610 ÷ 62 = 155 because 62*155=9610. | division |
733,828 | arithmetic | easy | What is 214 + 594? | 808 | Add the two numbers: 214 + 594 = 808. | basic_operations |
733,829 | number_theory | medium | What is the LCM (least common multiple) of 66 and 79? | 5214 | LCM = |66*79| / GCD(66,79). GCD=1, so LCM=5214/1=5214. | lcm |
733,830 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
733,831 | geometry | easy | Find the area of a triangle with base 99 and height 75. | 3712.5 | Area = 0.5*base*height = 0.5*99*75 = 3712.5. | triangle_area |
733,832 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
733,833 | arithmetic | easy | What is 119 + 333? | 452 | Add the two numbers: 119 + 333 = 452. | basic_operations |
733,834 | word_problems | easy | If you have 19 dollars and you buy 47 more dollars, how many dollars do you have in total? | 66 | Add initial 19 plus bought 47: 19+47=66. | addition_word |
733,835 | arithmetic | easy | What is 64 * 53? | 3392 | Multiply: 64 * 53 = 3392. | basic_operations |
733,836 | word_problems | easy | If you have 66 candies and you buy 46 more candies, how many candies do you have in total? | 112 | Add initial 66 plus bought 46: 66+46=112. | addition_word |
733,837 | statistics | easy | What is the mean (average) of 91, 37, 90? | 72.67 | Mean = sum/count. Sum = 91+37+90=218. Count=3. Mean=218/3=72.67. | mean |
733,838 | statistics | easy | What is the mean (average) of 57, 92, 93, 90, 29? | 72.2 | Mean = sum/count. Sum = 57+92+93+90+29=361. Count=5. Mean=361/5=72.2. | mean |
733,839 | arithmetic | easy | What is 184 + 689? | 873 | Add the two numbers: 184 + 689 = 873. | basic_operations |
733,840 | percentages | easy | What is 66% of 333? | 219.78 | Calculate 66/100 * 333 = 0.66*333 = 219.78. | percentages |
733,841 | fractions | medium | What is 3/4 - 14/15? Give as simplified fraction. | -11/60 | Common denominator 60. Numerator 45-56=-11. So -11/60 simplifies to -11/60. | fraction_operations |
733,842 | number_theory | medium | What is the GCD (greatest common divisor) of 87 and 61? | 1 | Find greatest number dividing both 87 and 61. Divisors common, greatest is 1. | gcd |
733,843 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
733,844 | number_theory | medium | What is the GCD (greatest common divisor) of 56 and 92? | 4 | Find greatest number dividing both 56 and 92. Divisors common, greatest is 4. | gcd |
733,845 | roots | easy | What is the square root of 256? | 16 | Find number that when squared gives 256. 16*16=256, so sqrt(256)=16. | square_roots |
733,846 | arithmetic | easy | What is 262 + 845? | 1107 | Add the two numbers: 262 + 845 = 1107. | basic_operations |
733,847 | 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 |
733,848 | algebra | medium | Solve for x: x^2 - 7x - 8 = 0 | x = -1, 8 | Factor: (x - -1)(x - 8) = x^2 -(7)x + -8 = 0. So x = -1 or 8. Check sum = 7, product = -8. | quadratic |
733,849 | arithmetic | easy | What is 27 * 85? | 2295 | Multiply: 27 * 85 = 2295. | basic_operations |
733,850 | arithmetic | easy | What is 429 - 337? | 92 | Subtract: 429 - 337 = 92. | basic_operations |
733,851 | arithmetic | easy | What is 794 + 189? | 983 | Add the two numbers: 794 + 189 = 983. | basic_operations |
733,852 | arithmetic | easy | What is 26 + 64 * 64? Remember order of operations. | 4122 | Order of operations (PEMDAS): first 64*64=4096, then 26+4096=4122. | basic_operations |
733,853 | arithmetic | easy | What is 803 + 643 * 93? Remember order of operations. | 60602 | Order of operations (PEMDAS): first 643*93=59799, then 803+59799=60602. | basic_operations |
733,854 | arithmetic | easy | What is 3042 / 9? | 338 | Divide: 3042 ÷ 9 = 338 because 9*338=3042. | division |
733,855 | arithmetic | easy | What is 626 + 470? | 1096 | Add the two numbers: 626 + 470 = 1096. | basic_operations |
733,856 | word_problems | easy | If you have 28 candies and you buy 4 more candies, how many candies do you have in total? | 32 | Add initial 28 plus bought 4: 28+4=32. | addition_word |
733,857 | fractions | medium | What is 6/12 * 12/8? Give as simplified fraction. | 3/4 | Multiply numerators: 6*12=72. Denominators: 12*8=96. Simplify by gcd 24 to get 3/4. | fraction_operations |
733,858 | algebra | easy | Solve for x: 3x - 45 = -6 | 13 | Add 45 to both sides: 3x = -6+45=39. Then x = 39/3 = 13. | linear_equation |
733,859 | roots | easy | What is the square root of 729? | 27 | Find number that when squared gives 729. 27*27=729, so sqrt(729)=27. | square_roots |
733,860 | percentages | easy | What is 19% of 180? | 34.2 | Calculate 19/100 * 180 = 0.19*180 = 34.2. | percentages |
733,861 | arithmetic | easy | What is 10730 / 58? | 185 | Divide: 10730 ÷ 58 = 185 because 58*185=10730. | division |
733,862 | geometry | easy | Find the perimeter of a rectangle with length 81 and width 97. | 356 | Perimeter = 2*(length+width) = 2*(81+97) = 2*178 = 356. | rectangle_perim |
733,863 | algebra | easy | Solve for x: 3x + 27 = 42 | 5 | Subtract 27 from both sides: 3x = 42-27=15. Then divide by 3: x = 15/3 = 5. | linear_equation |
733,864 | 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 |
733,865 | fractions | medium | What is 16/4 * 11/16? Give as simplified fraction. | 11/4 | Multiply numerators: 16*11=176. Denominators: 4*16=64. Simplify by gcd 16 to get 11/4. | fraction_operations |
733,866 | arithmetic | easy | What is 44 * 37? | 1628 | Multiply: 44 * 37 = 1628. | basic_operations |
733,867 | arithmetic | easy | What is 2392 / 92? | 26 | Divide: 2392 ÷ 92 = 26 because 92*26=2392. | division |
733,868 | 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 |
733,869 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
733,870 | algebra | medium | Solve for x: x^2 + 1x - 30 = 0 | x = 5, -6 | Factor: (x - 5)(x - -6) = x^2 -(-1)x + -30 = 0. So x = 5 or -6. Check sum = -1, product = -30. | quadratic |
733,871 | 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 |
733,872 | algebra | easy | Solve for x: 11x + 15 = 37 | 2 | Subtract 15 from both sides: 11x = 37-15=22. Then divide by 11: x = 22/11 = 2. | linear_equation |
733,873 | percentages | easy | What is 69% of 877? | 605.13 | Calculate 69/100 * 877 = 0.69*877 = 605.13. | percentages |
733,874 | arithmetic | easy | What is 15190 / 31? | 490 | Divide: 15190 ÷ 31 = 490 because 31*490=15190. | division |
733,875 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
733,876 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
733,877 | geometry | easy | Find the area of a triangle with base 60 and height 87. | 2610 | Area = 0.5*base*height = 0.5*60*87 = 2610. | triangle_area |
733,878 | fractions | medium | What is 10/5 + 11/8? Give as simplified fraction. | 27/8 | Common denominator 5*8=40. 10/5=80/40, 11/8=55/40. Sum = 135/40 = 27/8 simplified. | fraction_operations |
733,879 | arithmetic | easy | What is 875 + 965? | 1840 | Add the two numbers: 875 + 965 = 1840. | basic_operations |
733,880 | 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 |
733,881 | percentages | easy | What is 94% of 341? | 320.54 | Calculate 94/100 * 341 = 0.94*341 = 320.54. | percentages |
733,882 | 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 |
733,883 | algebra | medium | Solve for x: x^2 + 9x + 14 = 0 | x = -2, -7 | Factor: (x - -2)(x - -7) = x^2 -(-9)x + 14 = 0. So x = -2 or -7. Check sum = -9, product = 14. | quadratic |
733,884 | arithmetic | easy | What is 18 + 96 * 78? Remember order of operations. | 7506 | Order of operations (PEMDAS): first 96*78=7488, then 18+7488=7506. | basic_operations |
733,885 | exponents | easy | What is 4^2? | 16 | 4^2 means multiply 4 by itself 2 times: 4*4 = 16. | exponents |
733,886 | arithmetic | easy | What is 8901 divided by 42? Give answer to 2 decimal places. | 211.93 | Calculate 8901/ 42 = 211.9286, rounded to 2 decimals is 211.93. | division |
733,887 | arithmetic | easy | What is 1 + 989? | 990 | Add the two numbers: 1 + 989 = 990. | basic_operations |
733,888 | fractions | medium | What is 5/4 * 3/17? Give as simplified fraction. | 15/68 | Multiply numerators: 5*3=15. Denominators: 4*17=68. Simplify by gcd 1 to get 15/68. | fraction_operations |
733,889 | 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 |
733,890 | 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 |
733,891 | algebra | easy | Solve for x: 17x + 36 = -83 | -7 | Subtract 36 from both sides: 17x = -83-36=-119. Then divide by 17: x = -119/17 = -7. | linear_equation |
733,892 | 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 |
733,893 | algebra | easy | Solve for x: 6x + 11 = -55 | -11 | Subtract 11 from both sides: 6x = -55-11=-66. Then divide by 6: x = -66/6 = -11. | linear_equation |
733,894 | calculus | medium | What is the derivative of 7x^5 with respect to x? | 35x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^5] = 7*5*x^4 = 35x^4. | derivative |
733,895 | word_problems | easy | If you have 12 candies and you buy 17 more candies, how many candies do you have in total? | 29 | Add initial 12 plus bought 17: 12+17=29. | addition_word |
733,896 | arithmetic | easy | What is 4 * 70? | 280 | Multiply: 4 * 70 = 280. | basic_operations |
733,897 | calculus | medium | What is the derivative of 2x^3 with respect to x? | 6x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^3] = 2*3*x^2 = 6x^2. | derivative |
733,898 | arithmetic | easy | What is 21 + 15 * 16? Remember order of operations. | 261 | Order of operations (PEMDAS): first 15*16=240, then 21+240=261. | basic_operations |
733,899 | geometry | easy | Find the area of a circle with radius 43. Use pi=3.14159, round to 2 decimals. | 5808.8 | Area = pi*r^2 = 3.14159*43^2 = 3.14159*1849 = 5808.8. | circle_area |
733,900 | geometry | easy | Find the area of a circle with radius 25. Use pi=3.14159, round to 2 decimals. | 1963.5 | Area = pi*r^2 = 3.14159*25^2 = 3.14159*625 = 1963.5. | circle_area |
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