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 |
|---|---|---|---|---|---|---|
7,001 | 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 |
7,002 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
7,003 | percentages | easy | What is 11% of 330? | 36.3 | Calculate 11/100 * 330 = 0.11*330 = 36.3. | percentages |
7,004 | algebra | easy | Solve for x: 17x - 1 = -103 | -6 | Add 1 to both sides: 17x = -103+1=-102. Then x = -102/17 = -6. | linear_equation |
7,005 | arithmetic | easy | What is 56 + 51 * 18? Remember order of operations. | 974 | Order of operations (PEMDAS): first 51*18=918, then 56+918=974. | basic_operations |
7,006 | arithmetic | easy | What is 454 + 162 * 13? Remember order of operations. | 2560 | Order of operations (PEMDAS): first 162*13=2106, then 454+2106=2560. | basic_operations |
7,007 | algebra | medium | Solve for x: x^2 - 3x - 54 = 0 | x = 9, -6 | Factor: (x - 9)(x - -6) = x^2 -(3)x + -54 = 0. So x = 9 or -6. Check sum = 3, product = -54. | quadratic |
7,008 | algebra | easy | Solve for x: 1x - 12 = -27 | -15 | Add 12 to both sides: 1x = -27+12=-15. Then x = -15/1 = -15. | linear_equation |
7,009 | 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 |
7,010 | algebra | medium | Solve for x: x^2 + 6x - 7 = 0 | x = -7, 1 | Factor: (x - -7)(x - 1) = x^2 -(-6)x + -7 = 0. So x = -7 or 1. Check sum = -6, product = -7. | quadratic |
7,011 | percentages | easy | What is 76% of 181? | 137.56 | Calculate 76/100 * 181 = 0.76*181 = 137.56. | percentages |
7,012 | calculus | medium | What is the derivative of 10x^5 with respect to x? | 50x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^5] = 10*5*x^4 = 50x^4. | derivative |
7,013 | fractions | medium | What is 16/2 + 13/9? Give as simplified fraction. | 85/9 | Common denominator 2*9=18. 16/2=144/18, 13/9=26/18. Sum = 170/18 = 85/9 simplified. | fraction_operations |
7,014 | number_theory | medium | What is the GCD (greatest common divisor) of 97 and 5? | 1 | Find greatest number dividing both 97 and 5. Divisors common, greatest is 1. | gcd |
7,015 | arithmetic | easy | What is 9331 / 31? | 301 | Divide: 9331 ÷ 31 = 301 because 31*301=9331. | division |
7,016 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
7,017 | arithmetic | easy | What is 190 + 155 * 6? Remember order of operations. | 1120 | Order of operations (PEMDAS): first 155*6=930, then 190+930=1120. | basic_operations |
7,018 | arithmetic | easy | What is 32 * 28? | 896 | Multiply: 32 * 28 = 896. | basic_operations |
7,019 | percentages | easy | What is 63% of 619? | 389.97 | Calculate 63/100 * 619 = 0.63*619 = 389.97. | percentages |
7,020 | statistics | easy | What is the mean (average) of 78, 8, 1? | 29 | Mean = sum/count. Sum = 78+8+1=87. Count=3. Mean=87/3=29.0. | mean |
7,021 | arithmetic | easy | What is 75 * 83? | 6225 | Multiply: 75 * 83 = 6225. | basic_operations |
7,022 | arithmetic | easy | What is 3750 / 50? | 75 | Divide: 3750 ÷ 50 = 75 because 50*75=3750. | division |
7,023 | calculus | medium | What is the derivative of 5x^7 with respect to x? | 35x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^7] = 5*7*x^6 = 35x^6. | derivative |
7,024 | statistics | easy | What is the mean (average) of 66, 95, 48? | 69.67 | Mean = sum/count. Sum = 66+95+48=209. Count=3. Mean=209/3=69.67. | mean |
7,025 | number_theory | medium | What is the GCD (greatest common divisor) of 77 and 40? | 1 | Find greatest number dividing both 77 and 40. Divisors common, greatest is 1. | gcd |
7,026 | word_problems | easy | If you have 79 books and you buy 40 more books, how many books do you have in total? | 119 | Add initial 79 plus bought 40: 79+40=119. | addition_word |
7,027 | percentages | easy | What is 1% of 293? | 2.93 | Calculate 1/100 * 293 = 0.01*293 = 2.93. | percentages |
7,028 | number_theory | medium | What is the GCD (greatest common divisor) of 94 and 28? | 2 | Find greatest number dividing both 94 and 28. Divisors common, greatest is 2. | gcd |
7,029 | percentages | easy | What is 11% of 986? | 108.46 | Calculate 11/100 * 986 = 0.11*986 = 108.46. | percentages |
7,030 | calculus | medium | What is the derivative of 8x^7 with respect to x? | 56x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^7] = 8*7*x^6 = 56x^6. | derivative |
7,031 | word_problems | easy | If you have 73 apples and you buy 50 more apples, how many apples do you have in total? | 123 | Add initial 73 plus bought 50: 73+50=123. | addition_word |
7,032 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
7,033 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
7,034 | percentages | easy | What is 57% of 14? | 7.98 | Calculate 57/100 * 14 = 0.57*14 = 7.98. | percentages |
7,035 | arithmetic | easy | What is 12160 / 80? | 152 | Divide: 12160 ÷ 80 = 152 because 80*152=12160. | division |
7,036 | arithmetic | easy | What is 4136 divided by 12? Give answer to 2 decimal places. | 344.67 | Calculate 4136/ 12 = 344.6667, rounded to 2 decimals is 344.67. | division |
7,037 | 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 |
7,038 | 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 |
7,039 | arithmetic | easy | What is 353 - 182? | 171 | Subtract: 353 - 182 = 171. | basic_operations |
7,040 | 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 |
7,041 | algebra | easy | Solve for x: 1x + 50 = 66 | 16 | Subtract 50 from both sides: 1x = 66-50=16. Then divide by 1: x = 16/1 = 16. | linear_equation |
7,042 | algebra | medium | Solve for x: x^2 + 1x - 56 = 0 | x = 7, -8 | Factor: (x - 7)(x - -8) = x^2 -(-1)x + -56 = 0. So x = 7 or -8. Check sum = -1, product = -56. | quadratic |
7,043 | roots | easy | What is the square root of 961? | 31 | Find number that when squared gives 961. 31*31=961, so sqrt(961)=31. | square_roots |
7,044 | arithmetic | easy | What is 80 + 8 * 10? Remember order of operations. | 160 | Order of operations (PEMDAS): first 8*10=80, then 80+80=160. | basic_operations |
7,045 | percentages | easy | What is 9% of 692? | 62.28 | Calculate 9/100 * 692 = 0.09*692 = 62.28. | percentages |
7,046 | arithmetic | easy | What is 12781 divided by 52? Give answer to 2 decimal places. | 245.79 | Calculate 12781/ 52 = 245.7885, rounded to 2 decimals is 245.79. | division |
7,047 | arithmetic | easy | What is 55 * 27? | 1485 | Multiply: 55 * 27 = 1485. | basic_operations |
7,048 | algebra | easy | Solve for x: 5x - 25 = 30 | 11 | Add 25 to both sides: 5x = 30+25=55. Then x = 55/5 = 11. | linear_equation |
7,049 | arithmetic | easy | What is 12993 / 71? | 183 | Divide: 12993 ÷ 71 = 183 because 71*183=12993. | division |
7,050 | algebra | easy | Solve for x: 13x + 31 = 200 | 13 | Subtract 31 from both sides: 13x = 200-31=169. Then divide by 13: x = 169/13 = 13. | linear_equation |
7,051 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
7,052 | 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 |
7,053 | statistics | easy | What is the mean (average) of 11, 37, 20? | 22.67 | Mean = sum/count. Sum = 11+37+20=68. Count=3. Mean=68/3=22.67. | mean |
7,054 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
7,055 | arithmetic | easy | What is 30 + 962? | 992 | Add the two numbers: 30 + 962 = 992. | basic_operations |
7,056 | roots | easy | What is the square root of 2500? | 50 | Find number that when squared gives 2500. 50*50=2500, so sqrt(2500)=50. | square_roots |
7,057 | percentages | easy | What is 73% of 771? | 562.83 | Calculate 73/100 * 771 = 0.73*771 = 562.83. | percentages |
7,058 | algebra | easy | Solve for x: 8x + 39 = -89 | -16 | Subtract 39 from both sides: 8x = -89-39=-128. Then divide by 8: x = -128/8 = -16. | linear_equation |
7,059 | fractions | medium | What is 5/10 * 14/13? Give as simplified fraction. | 7/13 | Multiply numerators: 5*14=70. Denominators: 10*13=130. Simplify by gcd 10 to get 7/13. | fraction_operations |
7,060 | calculus | medium | What is the derivative of 10x^5 with respect to x? | 50x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^5] = 10*5*x^4 = 50x^4. | derivative |
7,061 | fractions | medium | What is 5/17 + 18/10? Give as simplified fraction. | 178/85 | Common denominator 17*10=170. 5/17=50/170, 18/10=306/170. Sum = 356/170 = 178/85 simplified. | fraction_operations |
7,062 | statistics | easy | What is the mean (average) of 71, 26, 88, 64, 53? | 60.4 | Mean = sum/count. Sum = 71+26+88+64+53=302. Count=5. Mean=302/5=60.4. | mean |
7,063 | 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 |
7,064 | arithmetic | easy | What is 18 + 6 * 27? Remember order of operations. | 180 | Order of operations (PEMDAS): first 6*27=162, then 18+162=180. | basic_operations |
7,065 | geometry | easy | Find the area of a rectangle with length 50 and width 46. | 2300 | Area = length * width = 50*46 = 2300. | rectangle_area |
7,066 | algebra | medium | Solve for x: x^2 - 5x + 6 = 0 | x = 3, 2 | Factor: (x - 3)(x - 2) = x^2 -(5)x + 6 = 0. So x = 3 or 2. Check sum = 5, product = 6. | quadratic |
7,067 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
7,068 | word_problems | easy | If you have 33 apples and you buy 24 more apples, how many apples do you have in total? | 57 | Add initial 33 plus bought 24: 33+24=57. | addition_word |
7,069 | algebra | easy | Solve for x: 16x - 27 = -75 | -3 | Add 27 to both sides: 16x = -75+27=-48. Then x = -48/16 = -3. | linear_equation |
7,070 | roots | easy | What is the square root of 529? | 23 | Find number that when squared gives 529. 23*23=529, so sqrt(529)=23. | square_roots |
7,071 | percentages | easy | What is 32% of 501? | 160.32 | Calculate 32/100 * 501 = 0.32*501 = 160.32. | percentages |
7,072 | number_theory | medium | What is the LCM (least common multiple) of 87 and 51? | 1479 | LCM = |87*51| / GCD(87,51). GCD=3, so LCM=4437/3=1479. | lcm |
7,073 | calculus | medium | What is the derivative of 8x^6 with respect to x? | 48x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^6] = 8*6*x^5 = 48x^5. | derivative |
7,074 | 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 |
7,075 | word_problems | easy | If you have 70 pencils and you buy 19 more pencils, how many pencils do you have in total? | 89 | Add initial 70 plus bought 19: 70+19=89. | addition_word |
7,076 | 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 |
7,077 | algebra | medium | Solve for x: x^2 - 6x - 16 = 0 | x = -2, 8 | Factor: (x - -2)(x - 8) = x^2 -(6)x + -16 = 0. So x = -2 or 8. Check sum = 6, product = -16. | quadratic |
7,078 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
7,079 | arithmetic | easy | What is 315 + 417? | 732 | Add the two numbers: 315 + 417 = 732. | basic_operations |
7,080 | 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 |
7,081 | algebra | easy | Solve for x: 19x + 3 = 3 | 0 | Subtract 3 from both sides: 19x = 3-3=0. Then divide by 19: x = 0/19 = 0. | linear_equation |
7,082 | calculus | medium | What is the derivative of 6x^6 with respect to x? | 36x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^6] = 6*6*x^5 = 36x^5. | derivative |
7,083 | arithmetic | easy | What is 8402 divided by 20? Give answer to 2 decimal places. | 420.1 | Calculate 8402/ 20 = 420.1000, rounded to 2 decimals is 420.1. | division |
7,084 | algebra | easy | Solve for x: 15x + 3 = 168 | 11 | Subtract 3 from both sides: 15x = 168-3=165. Then divide by 15: x = 165/15 = 11. | linear_equation |
7,085 | algebra | medium | Solve for x: x^2 - 6x - 27 = 0 | x = 9, -3 | Factor: (x - 9)(x - -3) = x^2 -(6)x + -27 = 0. So x = 9 or -3. Check sum = 6, product = -27. | quadratic |
7,086 | roots | easy | What is the square root of 2025? | 45 | Find number that when squared gives 2025. 45*45=2025, so sqrt(2025)=45. | square_roots |
7,087 | arithmetic | easy | What is 629 + 452 * 75? Remember order of operations. | 34529 | Order of operations (PEMDAS): first 452*75=33900, then 629+33900=34529. | basic_operations |
7,088 | geometry | easy | Find the perimeter of a rectangle with length 10 and width 17. | 54 | Perimeter = 2*(length+width) = 2*(10+17) = 2*27 = 54. | rectangle_perim |
7,089 | arithmetic | easy | What is 8960 / 40? | 224 | Divide: 8960 ÷ 40 = 224 because 40*224=8960. | division |
7,090 | algebra | medium | Solve for x: x^2 + 10x + 24 = 0 | x = -6, -4 | Factor: (x - -6)(x - -4) = x^2 -(-10)x + 24 = 0. So x = -6 or -4. Check sum = -10, product = 24. | quadratic |
7,091 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
7,092 | arithmetic | easy | What is 933 - 294? | 639 | Subtract: 933 - 294 = 639. | basic_operations |
7,093 | word_problems | easy | If you have 22 apples and you buy 24 more apples, how many apples do you have in total? | 46 | Add initial 22 plus bought 24: 22+24=46. | addition_word |
7,094 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
7,095 | word_problems | easy | If you have 8 books and you buy 14 more books, how many books do you have in total? | 22 | Add initial 8 plus bought 14: 8+14=22. | addition_word |
7,096 | algebra | easy | Solve for x: 3x - 13 = 11 | 8 | Add 13 to both sides: 3x = 11+13=24. Then x = 24/3 = 8. | linear_equation |
7,097 | algebra | easy | Solve for x: 8x - 26 = 38 | 8 | Add 26 to both sides: 8x = 38+26=64. Then x = 64/8 = 8. | linear_equation |
7,098 | algebra | easy | Solve for x: 2x + 22 = 16 | -3 | Subtract 22 from both sides: 2x = 16-22=-6. Then divide by 2: x = -6/2 = -3. | linear_equation |
7,099 | roots | easy | What is the square root of 25? | 5 | Find number that when squared gives 25. 5*5=25, so sqrt(25)=5. | square_roots |
7,100 | 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 |
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