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 |
|---|---|---|---|---|---|---|
2,801 | fractions | medium | What is 3/20 - 20/6? Give as simplified fraction. | -191/60 | Common denominator 120. Numerator 18-400=-382. So -382/120 simplifies to -191/60. | fraction_operations |
2,802 | 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 |
2,803 | algebra | easy | Solve for x: 15x - 32 = 133 | 11 | Add 32 to both sides: 15x = 133+32=165. Then x = 165/15 = 11. | linear_equation |
2,804 | roots | easy | What is the square root of 64? | 8 | Find number that when squared gives 64. 8*8=64, so sqrt(64)=8. | square_roots |
2,805 | 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 |
2,806 | arithmetic | easy | What is 58 * 82? | 4756 | Multiply: 58 * 82 = 4756. | basic_operations |
2,807 | arithmetic | easy | What is 674 divided by 6? Give answer to 2 decimal places. | 112.33 | Calculate 674/ 6 = 112.3333, rounded to 2 decimals is 112.33. | division |
2,808 | algebra | medium | Solve for x: x^2 - 11x + 18 = 0 | x = 9, 2 | Factor: (x - 9)(x - 2) = x^2 -(11)x + 18 = 0. So x = 9 or 2. Check sum = 11, product = 18. | quadratic |
2,809 | fractions | medium | What is 12/8 + 7/20? Give as simplified fraction. | 37/20 | Common denominator 8*20=160. 12/8=240/160, 7/20=56/160. Sum = 296/160 = 37/20 simplified. | fraction_operations |
2,810 | number_theory | medium | What is the LCM (least common multiple) of 47 and 3? | 141 | LCM = |47*3| / GCD(47,3). GCD=1, so LCM=141/1=141. | lcm |
2,811 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
2,812 | statistics | easy | What is the mean (average) of 59, 53, 53, 46, 46? | 51.4 | Mean = sum/count. Sum = 59+53+53+46+46=257. Count=5. Mean=257/5=51.4. | mean |
2,813 | 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 |
2,814 | roots | easy | What is the square root of 64? | 8 | Find number that when squared gives 64. 8*8=64, so sqrt(64)=8. | square_roots |
2,815 | algebra | medium | Solve for x: x^2 - 7x + 12 = 0 | x = 4, 3 | Factor: (x - 4)(x - 3) = x^2 -(7)x + 12 = 0. So x = 4 or 3. Check sum = 7, product = 12. | quadratic |
2,816 | number_theory | medium | What is the GCD (greatest common divisor) of 23 and 71? | 1 | Find greatest number dividing both 23 and 71. Divisors common, greatest is 1. | gcd |
2,817 | 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 |
2,818 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
2,819 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
2,820 | arithmetic | easy | What is 826 + 858? | 1684 | Add the two numbers: 826 + 858 = 1684. | basic_operations |
2,821 | 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 |
2,822 | statistics | easy | What is the mean (average) of 97, 80, 70, 13, 82? | 68.4 | Mean = sum/count. Sum = 97+80+70+13+82=342. Count=5. Mean=342/5=68.4. | mean |
2,823 | word_problems | easy | If you have 69 apples and you buy 38 more apples, how many apples do you have in total? | 107 | Add initial 69 plus bought 38: 69+38=107. | addition_word |
2,824 | exponents | easy | What is 8^3? | 512 | 8^3 means multiply 8 by itself 3 times: 8*8*8 = 512. | exponents |
2,825 | percentages | easy | What is 100% of 466? | 466 | Calculate 100/100 * 466 = 1.0*466 = 466. | percentages |
2,826 | 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 |
2,827 | statistics | easy | What is the mean (average) of 45, 60, 53? | 52.67 | Mean = sum/count. Sum = 45+60+53=158. Count=3. Mean=158/3=52.67. | mean |
2,828 | calculus | medium | What is the derivative of 6x^2 with respect to x? | 12x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^2] = 6*2*x^1 = 12x. | derivative |
2,829 | percentages | easy | What is 65% of 291? | 189.15 | Calculate 65/100 * 291 = 0.65*291 = 189.15. | percentages |
2,830 | geometry | easy | Find the area of a circle with radius 20. Use pi=3.14159, round to 2 decimals. | 1256.64 | Area = pi*r^2 = 3.14159*20^2 = 3.14159*400 = 1256.64. | circle_area |
2,831 | 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 |
2,832 | percentages | easy | What is 1% of 922? | 9.22 | Calculate 1/100 * 922 = 0.01*922 = 9.22. | percentages |
2,833 | 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 |
2,834 | arithmetic | easy | What is 95 * 77? | 7315 | Multiply: 95 * 77 = 7315. | basic_operations |
2,835 | algebra | medium | Solve for x: x^2 - 11x + 24 = 0 | x = 8, 3 | Factor: (x - 8)(x - 3) = x^2 -(11)x + 24 = 0. So x = 8 or 3. Check sum = 11, product = 24. | quadratic |
2,836 | percentages | easy | What is 72% of 997? | 717.84 | Calculate 72/100 * 997 = 0.72*997 = 717.84. | percentages |
2,837 | 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 |
2,838 | calculus | medium | What is the derivative of 1x^8 with respect to x? | 8x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^8] = 1*8*x^7 = 8x^7. | derivative |
2,839 | 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 |
2,840 | calculus | medium | What is the derivative of 3x^7 with respect to x? | 21x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^7] = 3*7*x^6 = 21x^6. | derivative |
2,841 | calculus | medium | What is the derivative of 9x^4 with respect to x? | 36x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^4] = 9*4*x^3 = 36x^3. | derivative |
2,842 | algebra | medium | Solve for x: x^2 - 9 = 0 | x = 3, -3 | Factor: (x - 3)(x - -3) = x^2 -(0)x + -9 = 0. So x = 3 or -3. Check sum = 0, product = -9. | quadratic |
2,843 | arithmetic | easy | What is 37812 / 92? | 411 | Divide: 37812 ÷ 92 = 411 because 92*411=37812. | division |
2,844 | 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 |
2,845 | algebra | medium | Solve for x: x^2 + 4x = 0 | x = 0, -4 | Factor: (x - 0)(x - -4) = x^2 -(-4)x + 0 = 0. So x = 0 or -4. Check sum = -4, product = 0. | quadratic |
2,846 | arithmetic | easy | What is 96 + 27? | 123 | Add the two numbers: 96 + 27 = 123. | basic_operations |
2,847 | algebra | easy | Solve for x: 1x + 29 = 43 | 14 | Subtract 29 from both sides: 1x = 43-29=14. Then divide by 1: x = 14/1 = 14. | linear_equation |
2,848 | arithmetic | easy | What is 94 * 17? | 1598 | Multiply: 94 * 17 = 1598. | basic_operations |
2,849 | number_theory | medium | What is the GCD (greatest common divisor) of 24 and 31? | 1 | Find greatest number dividing both 24 and 31. Divisors common, greatest is 1. | gcd |
2,850 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
2,851 | 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 |
2,852 | arithmetic | easy | What is 3 * 82? | 246 | Multiply: 3 * 82 = 246. | basic_operations |
2,853 | arithmetic | easy | What is 3776 / 16? | 236 | Divide: 3776 ÷ 16 = 236 because 16*236=3776. | division |
2,854 | arithmetic | easy | What is 2900 / 20? | 145 | Divide: 2900 ÷ 20 = 145 because 20*145=2900. | division |
2,855 | arithmetic | easy | What is 80 + 507? | 587 | Add the two numbers: 80 + 507 = 587. | basic_operations |
2,856 | statistics | easy | What is the mean (average) of 53, 10, 63? | 42 | Mean = sum/count. Sum = 53+10+63=126. Count=3. Mean=126/3=42.0. | mean |
2,857 | arithmetic | easy | What is 704 - 216? | 488 | Subtract: 704 - 216 = 488. | basic_operations |
2,858 | word_problems | easy | If you have 25 dollars and you buy 12 more dollars, how many dollars do you have in total? | 37 | Add initial 25 plus bought 12: 25+12=37. | addition_word |
2,859 | arithmetic | easy | What is 81 * 78? | 6318 | Multiply: 81 * 78 = 6318. | basic_operations |
2,860 | arithmetic | easy | What is 8010 / 45? | 178 | Divide: 8010 ÷ 45 = 178 because 45*178=8010. | division |
2,861 | 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 |
2,862 | arithmetic | easy | What is 8086 / 26? | 311 | Divide: 8086 ÷ 26 = 311 because 26*311=8086. | division |
2,863 | algebra | easy | Solve for x: 7x - 4 = -95 | -13 | Add 4 to both sides: 7x = -95+4=-91. Then x = -91/7 = -13. | linear_equation |
2,864 | fractions | medium | What is 1/12 + 5/9? Give as simplified fraction. | 23/36 | Common denominator 12*9=108. 1/12=9/108, 5/9=60/108. Sum = 69/108 = 23/36 simplified. | fraction_operations |
2,865 | algebra | easy | Solve for x: 9x - 15 = 75 | 10 | Add 15 to both sides: 9x = 75+15=90. Then x = 90/9 = 10. | linear_equation |
2,866 | fractions | medium | What is 3/13 - 18/11? Give as simplified fraction. | -201/143 | Common denominator 143. Numerator 33-234=-201. So -201/143 simplifies to -201/143. | fraction_operations |
2,867 | statistics | easy | What is the mean (average) of 66, 52, 25, 33? | 44 | Mean = sum/count. Sum = 66+52+25+33=176. Count=4. Mean=176/4=44.0. | mean |
2,868 | algebra | medium | Solve for x: x^2 + 6x + 8 = 0 | x = -4, -2 | Factor: (x - -4)(x - -2) = x^2 -(-6)x + 8 = 0. So x = -4 or -2. Check sum = -6, product = 8. | quadratic |
2,869 | calculus | medium | What is the derivative of 10x^2 with respect to x? | 20x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^2] = 10*2*x^1 = 20x. | derivative |
2,870 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
2,871 | statistics | easy | What is the mean (average) of 58, 55, 77, 96? | 71.5 | Mean = sum/count. Sum = 58+55+77+96=286. Count=4. Mean=286/4=71.5. | mean |
2,872 | geometry | easy | Find the area of a circle with radius 40. Use pi=3.14159, round to 2 decimals. | 5026.55 | Area = pi*r^2 = 3.14159*40^2 = 3.14159*1600 = 5026.55. | circle_area |
2,873 | arithmetic | easy | What is 15563 / 79? | 197 | Divide: 15563 ÷ 79 = 197 because 79*197=15563. | division |
2,874 | number_theory | medium | What is the GCD (greatest common divisor) of 48 and 81? | 3 | Find greatest number dividing both 48 and 81. Divisors common, greatest is 3. | gcd |
2,875 | word_problems | easy | If you have 26 pencils and you buy 3 more pencils, how many pencils do you have in total? | 29 | Add initial 26 plus bought 3: 26+3=29. | addition_word |
2,876 | geometry | easy | Find the area of a triangle with base 53 and height 38. | 1007 | Area = 0.5*base*height = 0.5*53*38 = 1007. | triangle_area |
2,877 | number_theory | medium | What is the GCD (greatest common divisor) of 51 and 4? | 1 | Find greatest number dividing both 51 and 4. Divisors common, greatest is 1. | gcd |
2,878 | algebra | medium | Solve for x: x^2 - 3x = 0 | x = 0, 3 | Factor: (x - 0)(x - 3) = x^2 -(3)x + 0 = 0. So x = 0 or 3. Check sum = 3, product = 0. | quadratic |
2,879 | algebra | medium | Solve for x: x^2 + 2x - 3 = 0 | x = 1, -3 | Factor: (x - 1)(x - -3) = x^2 -(-2)x + -3 = 0. So x = 1 or -3. Check sum = -2, product = -3. | quadratic |
2,880 | arithmetic | easy | What is 673 + 221 * 48? Remember order of operations. | 11281 | Order of operations (PEMDAS): first 221*48=10608, then 673+10608=11281. | basic_operations |
2,881 | roots | easy | What is the square root of 64? | 8 | Find number that when squared gives 64. 8*8=64, so sqrt(64)=8. | square_roots |
2,882 | arithmetic | easy | What is 43 * 28? | 1204 | Multiply: 43 * 28 = 1204. | basic_operations |
2,883 | roots | easy | What is the square root of 225? | 15 | Find number that when squared gives 225. 15*15=225, so sqrt(225)=15. | square_roots |
2,884 | arithmetic | easy | What is 395 + 291? | 686 | Add the two numbers: 395 + 291 = 686. | basic_operations |
2,885 | arithmetic | easy | What is 10449 divided by 73? Give answer to 2 decimal places. | 143.14 | Calculate 10449/ 73 = 143.1370, rounded to 2 decimals is 143.14. | division |
2,886 | 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 |
2,887 | roots | easy | What is the square root of 169? | 13 | Find number that when squared gives 169. 13*13=169, so sqrt(169)=13. | square_roots |
2,888 | fractions | medium | What is 2/17 - 16/3? Give as simplified fraction. | -266/51 | Common denominator 51. Numerator 6-272=-266. So -266/51 simplifies to -266/51. | fraction_operations |
2,889 | 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 |
2,890 | arithmetic | easy | What is 5192 / 59? | 88 | Divide: 5192 ÷ 59 = 88 because 59*88=5192. | division |
2,891 | 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 |
2,892 | arithmetic | easy | What is 1 + 60 * 83? Remember order of operations. | 4981 | Order of operations (PEMDAS): first 60*83=4980, then 1+4980=4981. | basic_operations |
2,893 | calculus | medium | What is the derivative of 9x^2 with respect to x? | 18x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^2] = 9*2*x^1 = 18x. | derivative |
2,894 | arithmetic | easy | What is 346 + 661? | 1007 | Add the two numbers: 346 + 661 = 1007. | basic_operations |
2,895 | 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 |
2,896 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
2,897 | number_theory | medium | What is the LCM (least common multiple) of 52 and 11? | 572 | LCM = |52*11| / GCD(52,11). GCD=1, so LCM=572/1=572. | lcm |
2,898 | statistics | easy | What is the mean (average) of 7, 51, 39, 90, 59? | 49.2 | Mean = sum/count. Sum = 7+51+39+90+59=246. Count=5. Mean=246/5=49.2. | mean |
2,899 | statistics | easy | What is the mean (average) of 16, 48, 80, 14, 4? | 32.4 | Mean = sum/count. Sum = 16+48+80+14+4=162. Count=5. Mean=162/5=32.4. | mean |
2,900 | percentages | easy | What is 7% of 846? | 59.22 | Calculate 7/100 * 846 = 0.07*846 = 59.22. | percentages |
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