text stringlengths 423 1.55k | input stringlengths 5 55 | output stringlengths 1 23 | topic stringclasses 5
values | difficulty int32 1 5 | steps int32 1 9 |
|---|---|---|---|---|---|
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(36, 2) * 46) / 2**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(36, 2) = 5.169925001442312$
2. $2**2 = 4$
3. $5.16992500... | (log(36, 2) * 46) / 2**2 | 59.45413751658659 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 68 / 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $68 / 100 = 0.68$
The answer is $0.68$
3. Drafting the response: "Ответ на ваш ... | 68 / 100 | 0.68 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (58 - 30) - 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $58 - 30 = 28$
2. $28 - 60 = -32$
The answer is $-32$
3. Drafting the r... | (58 - 30) - 60 | -32 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((27 - 33) * 2**2) + 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $27 - 33 = -6$
3. $-6 * 4 = -24$
4. $-24 + 91 ... | ((27 - 33) * 2**2) + 91 | 67 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 93 * 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $93 * 88 = 8184$
The answer is $8184$
3. Drafting the response: "Ответ на ваш за... | 93 * 88 | 8184 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (97 * 15) + 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $97 * 15 = 1455$
2. $1455 + 48 = 1503$
The answer is $1503$
3. Drafting... | (97 * 15) + 48 | 1503 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(40, 5) - 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(40, 5) = 2.292029674220179$
2. $2.292029674220179 - 3 = -0.707970325... | log(40, 5) - 3 | -0.7079703257798209 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(180) - csc(150)) - sqrt(100)) + 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(180) = -1.2246467991473532e-16$
2. $csc(15... | ((tan(180) - csc(150)) - sqrt(100)) + 82 | 70 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((12 + 75) + cbrt(27)) * sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $sin(360) = -2.4492935982947064e-16$... | ((12 + 75) + cbrt(27)) * sin(360) | -8.817456953860943e-16 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(225) + cbrt(27)) / 87) * cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(225) = 0.9999999999999997$
2. $cbrt(27) = 3$... | ((tan(225) + cbrt(27)) / 87) * cbrt(8) | -1.882681845717659 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(270) - sin(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $sin(180) = 1.2246467991473532e-16$
3. $-1 - 1.... | sin(270) - sin(180) | -1.0000000000000002 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(180) * sqrt(36)) - 11) - 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(180) = -1.2246467991473532e-16$
2. $sqrt(36) = 6$... | ((tan(180) * sqrt(36)) - 11) - 58 | -6.9 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(270) * 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $-1 * 65 = -65$
The answer is $-65$
3. Drafting the r... | sin(270) * 65 | -65 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 + cos(30)) - 20) + 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(30) = 0.8660254037844387$
2. $96 + 0.8660254037844387 = ... | ((96 + cos(30)) - 20) + 96 | 172.86602540378442 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (67 + 2) * sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $67 + 2 = 69$
3. $69 * 8 = 552$
The answer is ... | (67 + 2) * sqrt(64) | 552 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(135) * 63) + tan(0)) - 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(135) = -0.9999999999999998$
2. $tan(0) = 0$
3. $-0... | ((cot(135) * 63) + tan(0)) - 9 | -166 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 10 * 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $10 * 72 = 720$
The answer is $720$
3. Drafting the response: "Ответ на ваш запр... | 10 * 72 | 720 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(210) + tan(360)) / 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(210) = -1.9999999999999996$
2. $tan(360) = -2.44929359829... | (csc(210) + tan(360)) / 2 | -0.9999999999999999 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5 / 13) * 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5 / 13 = 0.38461538461538464$
2. $0.38461538461538464 * 71 = 27.307692307... | (5 / 13) * 71 | 27.30769230769231 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(64) * 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(64) = 3.9999999999999996$
2. $3.9999999999999996 * 91 = 363.99999999... | cbrt(64) * 91 | 363.99999999999994 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 - sqrt(4)) + 7) - cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $cos(180) = -1$
3. $22 - 2 = 20$
4.... | ((22 - sqrt(4)) + 7) - cos(180) | 28 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((26 / tan(315)) - 25) + 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(315) = -1.0000000000000004$
2. $26 / -1.0000000000000004... | ((26 / tan(315)) - 25) + 5 | -3.2857142857142847 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((33 + sin(180)) / sec(30)) / 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(180) = 1.2246467991473532e-16$
2. $sec(30) = 1.154... | ((33 + sin(180)) / sec(30)) / 36 | 0.7938566201357354 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(16) / 1) - 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $4 / 1 = 4$
3. $4 - 56 = -52$
The answer is $-... | (sqrt(16) / 1) - 56 | -52 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(45) + 11) + 43) * 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(45) = 1.414213562373095$
2. $1.414213562373095 + 11 = 12... | ((sec(45) + 11) + 43) * 51 | 2826.1248916810277 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((77 / tan(60)) - sin(180)) * 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(60) = 1.7320508075688767$
2. $sin(180) = 1.2246467... | ((77 / tan(60)) - sin(180)) * 63 | 2704.7261558388755 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 86 * 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $86 * 28 = 2408$
The answer is $2408$
3. Drafting the response: "Ответ на ваш за... | 86 * 28 | 2408 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 * sqrt(25)) - tan(0)) * 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $tan(0) = 0$
3. $84 * 5 = 420$
4. ... | ((84 * sqrt(25)) - tan(0)) * 96 | 40289 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((50 / sec(0)) + sin(45)) + sec(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $sin(45) = 0.7071067811865476$
3. ... | ((50 / sec(0)) + sin(45)) + sec(60) | 52.707106781186546 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) + 9) * cot(60)) + 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $cot(60) = 0.577350269189626$
3. $4 ... | ((sqrt(16) + 9) * cot(60)) + 20 | 27.505553499465137 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((51 + log(23, 2)) - 13) - sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(23, 2) = 4.523561956057013$
2. $sqrt(64) = 8$
... | ((51 + log(23, 2)) - 13) - sqrt(64) | 34.523561956057016 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2 * tan(60)) / cot(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(60) = 1.7320508075688767$
2. $cot(30) = 1.7320508075688774$... | (2 * tan(60)) / cot(30) | 1.9999999999999993 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(64) - 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(64) = 3.9999999999999996$
2. $3.9999999999999996 - 9 = -5$
The answ... | cbrt(64) - 9 | -5 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((60 / 59) * 33) - 4**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $60 / 59 = 1.0169491525423728$
3. $1.016949152... | ((60 / 59) * 33) - 4**4 | -5561.016949152543 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(30) / 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(30) = 0.8660254037844387$
2. $0.8660254037844387 / 8 = 0.10825317547305... | cos(30) / 8 | 0.10825317547305484 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(270) + 87) - cot(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(270) = 1.83697019872103e-16$
2. $cot(60) = 0.577350269189... | (cot(270) + 87) - cot(60) | 86.42264973081038 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(4) + 13) + 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $2 + 13 = 15$
3. $15 + 41 = 56$
The answer is $... | (sqrt(4) + 13) + 41 | 56 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 32 / 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $32 / 44 = 0.7272727272727273$
The answer is $0.7272727272727273$
3. Drafting th... | 32 / 44 | 0.7272727272727273 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 78 + 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $78 + 18 = 96$
The answer is $96$
3. Drafting the response: "Ответ на ваш запрос... | 78 + 18 | 96 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (58 + csc(210)) + 5**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(210) = -1.9999999999999996$
2. $5**3 = 125$
3. $58 + -1.99... | (58 + csc(210)) + 5**3 | 181 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(100) - 75) * sin(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $sin(180) = 1.2246467991473532e-16$
3.... | (sqrt(100) - 75) * sin(180) | -7.960204194457796e-15 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(60) * 86) / 91) - 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(60) = 1.1547005383792517$
2. $1.1547005383792517 * 86 = 9... | ((csc(60) * 86) / 91) - 6 | -4.908744546147081 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(30) + 61) * 8) * 29. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(30) = 0.8660254037844387$
2. $0.8660254037844387 + 61 = 6... | ((cos(30) + 61) * 8) * 29 | 14352.91789367799 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 91 / 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $91 / 46 = 1.9782608695652173$
The answer is $1.9782608695652173$
3. Drafting th... | 91 / 46 | 1.9782608695652173 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 * cbrt(8)) + 63) * 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $95 * 2 = 190$
3. $190 + 63 = 253$
4. $2... | ((95 * cbrt(8)) + 63) * 98 | 148764 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 5**3 - 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $125 - 76 = 49$
The answer is $49$
3. Drafting the response:... | 5**3 - 76 | 49 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(29, 3) + 94) + log(22, 5)) * 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(29, 3) = 3.0650447521106625$
2. $log(22, 5) =... | ((log(29, 3) + 94) + log(22, 5)) * 24 | 2375.154817902137 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 77 / 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $77 / 92 = 0.8369565217391305$
The answer is $0.8369565217391305$
3. Drafting th... | 77 / 92 | 0.8369565217391305 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 21 - sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $21 - 4 = 17$
The answer is $17$
3. Drafting the respo... | 21 - sqrt(16) | 17 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((10 * 53) - 84) * 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $10 * 53 = 530$
3. $530 - 84 = 446$
4. $446 ... | ((10 * 53) - 84) * 44 | 19619 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (7 / 38) + 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $7 / 38 = 0.18421052631578946$
2. $0.18421052631578946 + 85 = 85.184210526... | (7 / 38) + 85 | 85.1842105263158 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (92 - 36) / 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $92 - 36 = 56$
2. $56 / 39 = 1.435897435897436$
The answer is $1.435897... | (92 - 36) / 39 | 1.435897435897436 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (83 / sin(45)) * 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(45) = 0.7071067811865476$
2. $83 / 0.7071067811865476 = 117.3797... | (83 / sin(45)) * 6 | 704.2783540618013 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((20 + cbrt(27)) + sqrt(49)) * cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $sqrt(49) = 7$
3. $cbrt(27) ... | ((20 + cbrt(27)) + sqrt(49)) * cbrt(27) | 190 | power | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((50 + 4) * 80) - 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $50 + 4 = 54$
2. $54 * 80 = 4320$
3. $4320 - 97 = 4223$
The ans... | ((50 + 4) * 80) - 97 | 4223 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 61 + 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $61 + 40 = 101$
The answer is $101$
3. Drafting the response: "Ответ на ваш запр... | 61 + 40 | 101 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 36 * 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $36 * 8 = 288$
The answer is $288$
3. Drafting the response: "Ответ на ваш запрос... | 36 * 8 | 288 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2**4 / 44) / 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $16 / 44 = 0.36363636363636365$
3. $0.3636363636363636... | (2**4 / 44) / 76 | 0.004784688995215311 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((15 * sqrt(9)) - sqrt(49)) / sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $sqrt(49) = 7$
3. $sqrt(25) = ... | ((15 * sqrt(9)) - sqrt(49)) / sqrt(25) | 288.8 | power | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(16) / 5**3) / 26. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $5**3 = 125$
3. $4 / 125 = 0.032$
4. $0.032... | (sqrt(16) / 5**3) / 26 | 0.0012307692307692308 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((72 - 15) - tan(60)) * cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(60) = 1.7320508075688767$
2. $cos(60) = 0.500000000... | ((72 - 15) - tan(60)) * cos(60) | 27.63397459621557 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (22 * cbrt(64)) / 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(64) = 3.9999999999999996$
2. $22 * 3.9999999999999996 = 87.99... | (22 * cbrt(64)) / 66 | 1.333333333333333 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (81 * sec(60)) * 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(60) = 1.9999999999999996$
2. $81 * 1.9999999999999996 = 161.999... | (81 * sec(60)) * 81 | 13121.999999999998 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((80 * 96) * 24) / csc(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $80 * 96 = 7680$
3. $7680 * 24 = 184320... | ((80 * 96) * 24) / csc(270) | -184236 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(9, 5) - log(6, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(9, 5) = 1.3652123889719707$
2. $log(6, 5) = 1.113282752559378... | log(9, 5) - log(6, 5) | 0.25192963641259225 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(360) * 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(360) = -2.4492935982947064e-16$
2. $-2.4492935982947064e-16 * 82 = -2... | sin(360) * 82 | -2.0084207506016593e-14 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (78 / 85) + sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(360) = -2.4492935982947064e-16$
2. $78 / 85 = 0.91764705882352... | (78 / 85) + sin(360) | 0.9176470588235291 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (100 * 26) + 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $100 * 26 = 2600$
2. $2600 + 56 = 2656$
The answer is $2656$
3. Drafti... | (100 * 26) + 56 | 2656 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(17, 3) - 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(17, 3) = 2.5789019231625656$
2. $2.5789019231625656 - 39 = -36.4210... | log(17, 3) - 39 | -36.42109807683743 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(216) * sqrt(36)) - 33) - sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(216) = 5.999999999999999$
2. $sqrt(36) = ... | ((cbrt(216) * sqrt(36)) - 33) - sqrt(36) | -3.000000000000007 | power | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(216) + 61) * 43) - 2**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(216) = 5.999999999999999$
2. $2**3 = 8$
3. $5.999... | ((cbrt(216) + 61) * 43) - 2**3 | 2873 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(315) + 77) / 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(315) = -0.9999999999999996$
2. $-0.9999999999999996 + 77 = 76... | (cot(315) + 77) / 100 | 0.76 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(36) + 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $6 + 62 = 68$
The answer is $68$
3. Drafting the respo... | sqrt(36) + 62 | 68 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(360) + cot(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $cot(270) = 1.83697019872103e-16$
3. $1 + 1.8369... | cos(360) + cot(270) | 1.0000000000000002 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(16) / tan(45)) - 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $tan(45) = 0.9999999999999999$
3. $4 / 0.9... | (sqrt(16) / tan(45)) - 34 | -30 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((25 * cos(45)) * 60) + sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(45) = 0.7071067811865476$
2. $sqrt(64) = 8$
3. $... | ((25 * cos(45)) * 60) + sqrt(64) | 1008.6601717798212 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((12 - sin(30)) / 82) / 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(30) = 0.49999999999999994$
2. $12 - 0.49999999999999994 ... | ((12 - sin(30)) / 82) / 75 | 0.001869918699186992 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 + 31) - sin(180)) - cos(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(180) = 1.2246467991473532e-16$
2. $cos(30) = 0.866... | ((95 + 31) - sin(180)) - cos(30) | 125.13397459621557 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 + 94) * 64) - 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $21 + 94 = 115$
2. $115 * 64 = 7360$
3. $7360 - 31 = 7329$
The... | ((21 + 94) * 64) - 31 | 7329 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 * 16) / 24) * 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $41 * 16 = 656$
2. $656 / 24 = 27.333333333333332$
3. $27.333333... | ((41 * 16) / 24) * 17 | 464.66666666666663 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (58 - sqrt(49)) + 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $58 - 7 = 51$
3. $51 + 24 = 75$
The answer is... | (58 - sqrt(49)) + 24 | 75 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((16 * 10) - 13) * 5**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $16 * 10 = 160$
3. $160 - 13 = 147$
4. $147 *... | ((16 * 10) - 13) * 5**2 | 91.875 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(45) / sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(45) = 0.7071067811865476$
2. $sqrt(64) = 8$
3. $0.707106781186... | sin(45) / sqrt(64) | 0.08838834764831845 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (22 / 20) - 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $22 / 20 = 1.1$
2. $1.1 - 35 = -33.9$
The answer is $-33.9$
3. Drafting... | (22 / 20) - 35 | -33.9 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (62 * sqrt(9)) - log(48, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $log(48, 2) = 5.584962500721157$
3. $62 *... | (62 * sqrt(9)) - log(48, 2) | 180.41503749927884 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((91 - sin(45)) + 1) + 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(45) = 0.7071067811865476$
2. $91 - 0.7071067811865476 = 9... | ((91 - sin(45)) + 1) + 89 | 11538.74516600406 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(120) + 93) / 78) + 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(120) = -2.000000000000001$
2. $-2.000000000000001 + 93 ... | ((sec(120) + 93) / 78) + 66 | 67.16666666666667 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(315) + 71) / 43) * log(26, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(315) = -0.9999999999999996$
2. $log(26, 5) = 2.... | ((cot(315) + 71) / 43) * log(26, 5) | 319.66202006611223 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(81) + cbrt(8)) - 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $cbrt(8) = 2$
3. $9 + 2 = 11$
4. $11 - 6... | (sqrt(81) + cbrt(8)) - 63 | -52 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((51 + 77) * 43) / 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $51 + 77 = 128$
3. $128 * 43 = 5504$
4. $550... | ((51 + 77) * 43) / 41 | 134.2439024390244 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 38 + 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $38 + 63 = 101$
The answer is $101$
3. Drafting the response: "Ответ на ваш запр... | 38 + 63 | 101 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 30 * 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $30 * 48 = 1440$
The answer is $1440$
3. Drafting the response: "Ответ на ваш за... | 30 * 48 | 1440 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(30) + log(46, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(30) = 1.1547005383792515$
2. $log(46, 2) = 5.523561956057013$
... | sec(30) + log(46, 2) | 6.6782624944362645 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (57 + tan(315)) - sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(315) = -1.0000000000000004$
2. $sqrt(16) = 4$
3. $57 +... | (57 + tan(315)) - sqrt(16) | 52 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(270) + 11) - 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(270) = 1.83697019872103e-16$
2. $1.83697019872103e-16 + 11 = 1... | (cot(270) + 11) - 60 | -49 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(28, 3) / 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(28, 3) = 3.033103256304337$
2. $3.033103256304337 / 57 = 0.05321233... | log(28, 3) / 57 | 0.05321233782990065 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(42, 3) - 21) + 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(42, 3) = 3.4021735027328797$
2. $3.4021735027328797 - 21 = -... | (log(42, 3) - 21) + 16 | -1.5978264972671212 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3 + sqrt(36)) / 56) + 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $sqrt(81) = 9$
3. $3 + 6 = 9$
4. $9 / 5... | ((3 + sqrt(36)) / 56) + 99 | 892.4464285714287 | power | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (26 / 98) + 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $26 / 98 = 0.2653061224489796$
2. $0.2653061224489796 + 47 = 47.265306122... | (26 / 98) + 47 | 47.265306122448976 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(36, 10) / 84) * 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(36, 10) = 1.556302500767287$
2. $1.556302500767287 / 84 = 0.... | (log(36, 10) / 84) * 1 | 0.018527410723420085 | log | 5 | 3 |
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