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: ((83 / sqrt(64)) * 70) / 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $83 / 8 = 10.375$
3. $10.375 * 70 = 726.... | ((83 / sqrt(64)) * 70) / 28 | 25.9375 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((63 / 69) - 73) * 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $63 / 69 = 0.9130434782608695$
2. $0.9130434782608695 - 73 = -72.0... | ((63 / 69) - 73) * 95 | -68482.60869565218 | arithmetic | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 + 31) - 9) / 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $23 + 31 = 54$
2. $54 - 9 = 45$
3. $45 / 63 = 0.7142857142857143$... | ((23 + 31) - 9) / 63 | 15 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(81) - log(43, 10)) + sin(180)) / sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $log(43, 10) = 1.633... | ((sqrt(81) - log(43, 10)) + sin(180)) / sqrt(100) | 18.736653154442042 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((56 / 4**2) - 9) + 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**2 = 16$
2. $56 / 16 = 3.5$
3. $3.5 - 9 = -5.5$
4. $-5.5 +... | ((56 / 4**2) - 9) + 39 | 33.5 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(81) + 41) * cos(270)) + log(13, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $cos(270) = -1.836970198721... | ((sqrt(81) + 41) * cos(270)) + log(13, 10) | 61.113943352306826 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(16) / log(24, 5)) + sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $log(24, 5) = 1.9746358687061647$
... | (sqrt(16) / log(24, 5)) + sin(360) | 2.0256899327068885 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3**4 - 75) - 44) / 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $sqrt(100) = 10$
3. $81 - 75 = 6$
4. $6 - 44 ... | ((3**4 - 75) - 44) / 47 | -8.085106382978722 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 76 + log(50, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(50, 3) = 3.5608767950073115$
2. $76 + 3.5608767950073115 = 79.56087... | 76 + log(50, 3) | 79.56087679500732 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 40 * 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. $40 * 4 = 160$
The answer is $160$
3. Drafting the res... | 40 * sqrt(16) | 160 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 40 / log(46, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(46, 10) = 1.6627578316815739$
2. $40 / 1.6627578316815739 = 24.056... | 40 / log(46, 10) | 24.0564195445992 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(27) * cos(180)) + cos(360)) * 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $cos(180) = -1$
3. $cos(360)... | ((cbrt(27) * cos(180)) + cos(360)) * 56 | -112 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (88 - log(2, 5)) - 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(2, 5) = 0.43067655807339306$
2. $88 - 0.43067655807339306 = 8... | (88 - log(2, 5)) - 93 | -5.430676558073387 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 + tan(315)) - 56) * csc(270). 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. $csc(270) = -1$
... | ((92 + tan(315)) - 56) * csc(270) | -35 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(81) * 3**4) + 28) + cbrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $3**4 = 81$
3. $cbrt(64) = 3.999... | ((sqrt(81) * 3**4) + 28) + cbrt(64) | 761 | power | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((63 / 27) * 71) - 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $63 / 27 = 2.3333333333333335$
2. $2.3333333333333335 * 71 = 165.6... | ((63 / 27) * 71) - 97 | 68.66666666666669 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 * 6) * sec(180)) * 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $sqrt(4) = 2$
3. $73 * 6 = 438$
4. $43... | ((73 * 6) * sec(180)) * 76 | -16644 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (84 * 94) / 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $84 * 94 = 7896$
2. $7896 / 20 = 394.8$
The answer is $394.8$
3. Drafti... | (84 * 94) / 20 | 394.8 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((32 + 26) * 3) - tan(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(135) = -1.0000000000000002$
2. $32 + 26 = 58$
3. $58 *... | ((32 + 26) * 3) - tan(135) | 175 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(2, 3) * 99) + sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(2, 3) = 0.6309297535714574$
2. $sqrt(49) = 7$
3. $0.6... | (log(2, 3) * 99) + sqrt(49) | 69.46204560357428 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(100) / log(2, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $log(2, 10) = 0.30102999566398114$
3. $10 /... | sqrt(100) / log(2, 10) | 33.21928094887363 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5**2 / 24) + log(29, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $log(29, 5) = 2.0922185341675$
3. $25 / 24 = 1... | (5**2 / 24) + log(29, 5) | 3.1338852008341664 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 * 91) + 19) - 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $97 * 91 = 8827$
2. $8827 + 19 = 8846$
3. $8846 - 13 = 8833$
4... | ((97 * 91) + 19) - 13 | 8828 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(3, 5) * 71) + 3**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(3, 5) = 0.6826061944859854$
2. $3**2 = 9$
3. $0.682606194... | (log(3, 5) * 71) + 3**2 | 57.46503980850496 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) - 87) - 63) + 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $2 - 87 = -85$
3. $-85 - 63 = -148$
4. $... | ((sqrt(4) - 87) - 63) + 46 | -1.619047619047619 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((71 + 27) * sqrt(49)) - 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $71 + 27 = 98$
3. $98 * 7 = 686$
4. $6... | ((71 + 27) * sqrt(49)) - 67 | 619 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 49 * sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $49 * 1 = 49$
The answer is $49$
3. Drafting the respons... | 49 * sin(90) | 49 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((20 + cbrt(64)) / sin(30)) / sqrt(36). 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. $sin(30) = 0.4... | ((20 + cbrt(64)) / sin(30)) / sqrt(36) | 0.08695652173913046 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((52 - sin(270)) * 95) * 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $52 - -1 = 53$
3. $53 * 95 = 5035$
4.... | ((52 - sin(270)) * 95) * 15 | 75525 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(8) + log(10, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $log(10, 10) = 1$
3. $2 + 1 = 3$
The answer i... | cbrt(8) + log(10, 10) | 3 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 4 - sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $4 - 10 = -6$
The answer is $-6$
3. Drafting the res... | 4 - sqrt(100) | -6 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((98 + sqrt(64)) + 63) + 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $cos(270) = -1.8369701987210297e-16$
3. ... | ((98 + sqrt(64)) + 63) + 45 | -3.931116225263003e-14 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(180) + log(43, 2)) * 65) - cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $log(43, 2) = 5.42626475470... | ((cos(180) + log(43, 2)) * 65) - cos(360) | 286.7072090556364 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(90) * 12) * 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $1 * 12 = 12$
3. $12 * 2 = 24$
The answer is $24... | (csc(90) * 12) * 2 | 24 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(8) + 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $2 + 7 = 9$
The answer is $9$
3. Drafting the response: "... | cbrt(8) + 7 | 9 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(270) * 29) / 5) / 89. 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 * ... | ((cot(270) * 29) / 5) / 89 | 3.5913799390725757e-16 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 9 + 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $9 + 89 = 98$
The answer is $98$
3. Drafting the response: "Ответ на ваш запрос в... | 9 + 89 | 98 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) - log(42, 3)) / 60) + 99. 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. $log(42, 3) =... | ((sin(180) - log(42, 3)) / 60) + 99 | 90.94329710828778 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 82 * 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $82 * 27 = 2214$
The answer is $2214$
3. Drafting the response: "Ответ на ваш за... | 82 * 27 | 2214 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(64) * tan(45)) - 2**2. 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. $tan(45) = 0.999999999999... | (cbrt(64) * tan(45)) - 2**2 | -8.881784197001252e-16 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(60) + 36) / csc(270)) / log(11, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(60) = 0.5000000000000001$
2. $csc(270) = -... | ((cos(60) + 36) / csc(270)) / log(11, 3) | -16.722727214683406 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 28 + 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $28 + 70 = 98$
The answer is $98$
3. Drafting the response: "Ответ на ваш запрос... | 28 + 70 | 98 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (70 * sin(90)) - 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $70 * 1 = 70$
3. $70 - 51 = 19$
The answer is $... | (70 * sin(90)) - 51 | 19 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(6, 5) - 78) + 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 5) = 1.1132827525593785$
2. $1.1132827525593785 - 78 = -76... | (log(6, 5) - 78) + 77 | 0.11328275255938536 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((52 * 51) - 66) - 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $52 * 51 = 2652$
2. $2652 - 66 = 2586$
3. $2586 - 20 = 2566$
T... | ((52 * 51) - 66) - 20 | 2566 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(360) / 97) + 76) / log(23, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $log(23, 5) = 1.9481920934663797$
... | ((cos(360) / 97) + 76) / log(23, 5) | 39.01581858034691 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (76 * 86) - 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $76 * 86 = 6536$
2. $6536 - 67 = 6469$
The answer is $6469$
3. Drafting... | (76 * 86) - 67 | 6469 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(270) - cot(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(270) = -1.8369701987210297e-16$
2. $cot(30) = 1.7320508075688774... | cos(270) - cot(30) | -1.7320508075688776 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(16, 2) * 5) / 44) - 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(16, 2) = 4$
2. $4 * 5 = 20$
3. $20 / 44 = 0.45454545... | ((log(16, 2) * 5) / 44) - 15 | -14.545454545454545 | log | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 44 / sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $44 / 1 = 44$
The answer is $44$
3. Drafting the respons... | 44 / sin(90) | 44 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(50, 10) * log(27, 2)) + 47) - 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(50, 10) = 1.6989700043360185$
2. $log(27, 2)... | ((log(50, 10) * log(27, 2)) + 47) - 12 | 2283.1557957289015 | log | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (63 - 9) / cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(125) = 4.999999999999999$
2. $63 - 9 = 54$
3. $54 / 4.99999... | (63 - 9) / cbrt(125) | 10.800000000000002 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(0) / 64) / 47) / sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $sin(270) = -1$
3. $1 / 64 = 0.015625$... | ((cos(0) / 64) / 47) / sin(270) | -0.0003324468085106383 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 * 4**3) + 18) * 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $53 * 64 = 3392$
3. $3392 + 18 = 3410$
4. $34... | ((53 * 4**3) + 18) * 54 | 184140 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 58 / 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $58 / 23 = 2.5217391304347827$
The answer is $2.5217391304347827$
3. Drafting th... | 58 / 23 | 2.5217391304347827 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 61 - cot(315). 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. $61 - -0.9999999999999996 = 62$
The ... | 61 - cot(315) | 62 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((100 * 10) * 39) + 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $100 * 10 = 1000$
3. $1000 * 39 = 39000$
4.... | ((100 * 10) * 39) + 15 | 39018 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((32 - sin(360)) / sin(90)) * log(21, 10). 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. $sin(9... | ((32 - sin(360)) / sin(90)) * log(21, 10) | 42.31101743148541 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5**3 * cos(360)) / sqrt(49)) / 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $cos(360) = 1$
3. $sqrt(49) = 7$
... | ((5**3 * cos(360)) / sqrt(49)) / 67 | 0.26652452025586354 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 17 / 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $17 / 16 = 1.0625$
The answer is $1.0625$
3. Drafting the response: "Ответ на ва... | 17 / 16 | 1.0625 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((60 - 1) / sqrt(81)) + 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $60 - 1 = 59$
3. $59 / 9 = 6.555555555555... | ((60 - 1) / sqrt(81)) + 15 | 21.555555555555557 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(180) * 52) + 23) + sqrt(25). 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. $sqrt(25) = 5$... | ((tan(180) * 52) + 23) + sqrt(25) | 1.9999999999999996 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 44 / 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $44 / 8 = 5.5$
The answer is $5.5$
3. Drafting the response: "Ответ на ваш запрос... | 44 / 8 | 5.5 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 / 35) - 84) / 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $66 / 35 = 1.8857142857142857$
2. $1.8857142857142857 - 84 = -82.1... | ((66 / 35) - 84) / 75 | -1.0948571428571428 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((63 + 29) * 32) + 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $63 + 29 = 92$
2. $92 * 32 = 2944$
3. $2944 + 6 = 2950$
The ans... | ((63 + 29) * 32) + 6 | 2950 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 / 3**4) + cot(135)) * cot(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $cot(135) = -0.9999999999999998$
3.... | ((37 / 3**4) + cot(135)) * cot(225) | -0.5432098765432098 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 / 46) + 93) - log(39, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(39, 2) = 5.285402218862249$
2. $sin(45) = 0.707106781... | ((97 / 46) + 93) - log(39, 2) | 63.51465989520376 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(270) + sqrt(49)) + sqrt(81)) / 72. 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. $sqrt(49) =... | ((cot(270) + sqrt(49)) + sqrt(81)) / 72 | -49.77777777777778 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 82 + sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $82 + 3 = 85$
The answer is $85$
3. Drafting the respons... | 82 + sqrt(9) | 85 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(360) - sqrt(64)) * 68) - sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(360) = -2.4492935982947064e-16$
2. $sqrt(6... | ((tan(360) - sqrt(64)) * 68) - sqrt(100) | -554 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(270) / sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $sqrt(4) = 2$
3. $-1 / 2 = -0.5$
The answer is... | sin(270) / sqrt(4) | -0.5 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 67 * 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $67 * 53 = 3551$
The answer is $3551$
3. Drafting the response: "Ответ на ваш за... | 67 * 53 | 3551 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 / log(40, 3)) + 70) / 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(40, 3) = 3.357762781432299$
2. $44 / 3.35776278143229... | ((44 / log(40, 3)) + 70) / 17 | 0.0603514620357042 | log | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((15 - 6**3) / 41) * 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $15 - 216 = -201$
3. $-201 / 41 = -4.902439024... | ((15 - 6**3) / 41) * 76 | -372.5853658536585 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (41 + 15) + 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $41 + 15 = 56$
2. $56 + 84 = 140$
The answer is $140$
3. Drafting the r... | (41 + 15) + 84 | 140 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4**4 + 71) - 50. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $256 + 71 = 327$
3. $327 - 50 = 277$
The answer is ... | (4**4 + 71) - 50 | 277 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (50 * cos(60)) + 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(60) = 0.5000000000000001$
2. $50 * 0.5000000000000001 = 25.0000... | (50 * cos(60)) + 17 | 42.00000000000001 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 * sin(60)) - 91) + 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(60) = 0.8660254037844386$
2. $97 * 0.8660254037844386 = ... | ((97 * sin(60)) - 91) + 52 | 45.004464167090546 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 * sqrt(36)) / log(4, 3)) * 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. $log(4, 3) = 1.2618595071429148$
... | ((44 * sqrt(36)) / log(4, 3)) * 62 | 12999.333105901942 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(49) / cbrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $cbrt(64) = 3.9999999999999996$
3. $7 / 3.999999... | sqrt(49) / cbrt(64) | 1.7500000000000002 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (74 / 14) / sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $74 / 14 = 5.285714285714286$
3. $5.2857142857142... | (74 / 14) / sin(90) | 5.285714285714286 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) * cot(30)) - 6**2) - 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. $cot(30) = 1.7320508075688774... | ((sqrt(16) * cot(30)) - 6**2) - sqrt(16) | -0.8267949192431121 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 12 + 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $12 + 20 = 32$
The answer is $32$
3. Drafting the response: "Ответ на ваш запрос... | 12 + 20 | 32 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(5, 2) * sin(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(5, 2) = 2.321928094887362$
2. $sin(60) = 0.8660254037844386$
... | log(5, 2) * sin(60) | 2.01084871593326 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(25) + 43) - 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $5 + 43 = 48$
3. $48 - 51 = -3$
The answer is... | (sqrt(25) + 43) - 51 | -3 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (99 / 94) * 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $99 / 94 = 1.053191489361702$
2. $1.053191489361702 * 12 = 12.63829787234... | (99 / 94) * 12 | 12.638297872340424 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(90) + 45) + 87) * 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $1 + 45 = 46$
3. $46 + 87 = 133$
4. $133... | ((sin(90) + 45) + 87) * 67 | 8911 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 36 - sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $36 - 9 = 27$
The answer is $27$
3. Drafting the respo... | 36 - sqrt(81) | 27 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((93 * 40) + log(25, 3)) * cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(25, 3) = 2.9299470414358537$
2. $cbrt(8) = 2$
... | ((93 * 40) + log(25, 3)) * cbrt(8) | 7462.8598940828715 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 * 64) / 53) * 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. $log(36, 3) = 3.2618... | ((94 * 64) / 53) * sin(360) | -9.068554279630435e-14 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(150) * 93) / 4**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(150) = 2.0000000000000004$
2. $4**3 = 64$
3. $2.0000000000... | (csc(150) * 93) / 4**3 | 2.9062500000000004 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((32 - log(45, 2)) / 15) - cot(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(45, 2) = 5.491853096329675$
2. $cot(225) = 1.00... | ((32 - log(45, 2)) / 15) - cot(225) | -0.23279020642197867 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((52 - sqrt(25)) * 74) * 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $52 - 5 = 47$
3. $47 * 74 = 3478$
4. $... | ((52 - sqrt(25)) * 74) * 87 | 20172.4 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(0) - 82) - 78. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $0 - 82 = -82$
3. $-82 - 78 = -160$
The answer is... | (tan(0) - 82) - 78 | -160 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(19, 2) + cos(180)) - 38) + 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(19, 2) = 4.247927513443585$
2. $cos(180) = -1$
... | ((log(19, 2) + cos(180)) - 38) + 71 | 68.24792751344359 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((36 + 60) / 17) * 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $36 + 60 = 96$
3. $96 / 17 = 5.647058823529412... | ((36 + 60) / 17) * 54 | 300.94117647058823 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 31 / tan(225). 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. $31 / 0.9999999999999997 = 31.000000000... | 31 / tan(225) | 31.00000000000001 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 65 + 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $65 + 13 = 78$
The answer is $78$
3. Drafting the response: "Ответ на ваш запрос... | 65 + 13 | 78 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((87 * 95) - sin(360)) + 52. 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. $log(37, 2) = 5.2094... | ((87 * 95) - sin(360)) + 52 | 8322.209453365629 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(2, 3) + log(19, 3)) * cot(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(2, 3) = 0.6309297535714574$
2. $log(19, 3) = 2.6... | (log(2, 3) + log(19, 3)) * cot(30) | 5.734947725001128 | mixed | 5 | 5 |
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