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: ((50 / sin(270)) * 4) * log(12, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $log(12, 3) = 2.2618595071429146$
... | ((50 / sin(270)) * 4) * log(12, 3) | -452.37190142858293 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 2 - 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2 - 99 = -97$
The answer is $-97$
3. Drafting the response: "Ответ на ваш запрос... | 2 - 99 | -97 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(15, 3) * 97) + 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(15, 3) = 2.464973520717927$
2. $2.464973520717927 * 97 = 239... | (log(15, 3) * 97) + 68 | 307.1024315096389 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) - 41) * cos(30)) + 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $cos(30) = 0.8660254037844387$
3. $2 ... | ((cbrt(8) - 41) * cos(30)) + 49 | -50.77499074759311 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((78 / 96) * cos(60)) - 22. 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. $78 / 96 = 0.8125$
3. $0.... | ((78 / 96) * cos(60)) - 22 | -21.59375 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((15 / cos(30)) * sec(240)) / 58. 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. $sec(240) = -1.999999... | ((15 / cos(30)) * sec(240)) / 58 | -0.5972588991616813 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((12 + 16) * sec(120)) / 99. 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. $12 + 16 = 28$
3. $28 *... | ((12 + 16) * sec(120)) / 99 | -0.0282828282828283 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 / 2**3) * 52) - 5**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $5**4 = 625$
3. $90 / 8 = 11.25$
4. $11.25 *... | ((90 / 2**3) * 52) - 5**4 | 14 | power | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(0) / sin(60)) * sin(90)) * 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $sin(60) = 0.8660254037844386$
3. ... | ((sin(0) / sin(60)) * sin(90)) * 67 | 0 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(90) / 100) / cos(30)) + sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(90) = 6.123233995736766e-17$
2. $cos(30) = 0.8... | ((cot(90) / 100) / cos(30)) + sin(0) | 7.070501591499379e-19 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(22, 3) + tan(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(22, 3) = 2.8135880922155954$
2. $tan(315) = -1.00000000000000... | log(22, 3) + tan(315) | 1.813588092215595 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((99 + 94) - tan(45)) + 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(45) = 0.9999999999999999$
2. $99 + 94 = 193$
3. $193 -... | ((99 + 94) - tan(45)) + 65 | 257 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(216) * 3) - cot(135)) * cos(45). 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. $cot(135) = -0... | ((cbrt(216) * 3) - cot(135)) * cos(45) | 8.435028842544401 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((72 - 54) + 64) + 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $72 - 54 = 18$
2. $18 + 64 = 82$
3. $82 + 15 = 97$
The answer ... | ((72 - 54) + 64) + 15 | 97 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (37 / log(19, 3)) + 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(19, 3) = 2.680143859246375$
2. $37 / 2.680143859246375 = 13.... | (37 / log(19, 3)) + 96 | 109.80522910080057 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (76 + 24) + 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $76 + 24 = 100$
2. $100 + 6 = 106$
The answer is $106$
3. Drafting the r... | (76 + 24) + 6 | 106 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (48 - sqrt(49)) * 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $48 - 7 = 41$
3. $41 * 10 = 410$
The answer i... | (48 - sqrt(49)) * 10 | 410 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(90) / tan(135)) - 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(90) = 6.123233995736766e-17$
2. $tan(135) = -1.0000000000... | (cos(90) / tan(135)) - 82 | -82 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(315) * cot(315)) * 36) - sin(360). 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. $cot(315) = ... | ((cot(315) * cot(315)) * 36) - sin(360) | 35.99999999999997 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 2 + 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2 + 94 = 96$
The answer is $96$
3. Drafting the response: "Ответ на ваш запрос в... | 2 + 94 | 96 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(90) + sqrt(9)) + tan(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(90) = 6.123233995736766e-17$
2. $sqrt(9) = 3$
3. $... | (cot(90) + sqrt(9)) + tan(135) | 1.9999999999999998 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 * 30) * 60) - 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $85 * 30 = 2550$
2. $2550 * 60 = 153000$
3. $153000 - 96 = 15290... | ((85 * 30) * 60) - 96 | 152904 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 76 + 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $76 + 18 = 94$
The answer is $94$
3. Drafting the response: "Ответ на ваш запрос... | 76 + 18 | 94 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) / 61) / 64) / 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $2**4 = 16$
3. $5 / 61 = 0.0819672131147... | ((sqrt(25) / 61) / 64) / 55 | 1.4553837555886734e-06 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4 - 8) / 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4 - 8 = -4$
2. $-4 / 24 = -0.16666666666666666$
The answer is $-0.166666... | (4 - 8) / 24 | -0.16666666666666666 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((7 + 83) * 61) * 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $7 + 83 = 90$
2. $90 * 61 = 5490$
3. $5490 * 27 = 148230$
The a... | ((7 + 83) * 61) * 27 | 148230 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((91 * 61) - 92) * 25. 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. $91 * 61 = 5551$
3. $5551 - 9... | ((91 * 61) - 92) * 25 | 818849.9999999999 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2**3 / 22) / 77) * 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $8 / 22 = 0.36363636363636365$
3. $0.36363636363... | ((2**3 / 22) / 77) * 95 | 0.448642266824085 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(60) - sqrt(4)) * cot(225)) - 53. 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. $sqrt(4) = 2$
... | ((cos(60) - sqrt(4)) * cot(225)) - 53 | -54.5 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(180) + 72) - cos(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $cos(30) = 0.8660254037844387$
3. $-1 + 7... | (sec(180) + 72) - cos(30) | 70.13397459621557 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (62 / 76) - 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. $62 / 76 = 0.8157894736842105$
3. $0.8157894736... | (62 / 76) - cbrt(27) | -2.1842105263157894 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (64 - 14) * 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $64 - 14 = 50$
2. $50 * 100 = 5000$
The answer is $5000$
3. Drafting t... | (64 - 14) * 100 | 5000 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (34 + 3**3) + 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $34 + 27 = 61$
3. $61 + 33 = 94$
The answer is $94$
... | (34 + 3**3) + 33 | 94 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(30) - cos(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(30) = 0.5773502691896257$
2. $cos(90) = 6.123233995736766e-17$
... | tan(30) - cos(90) | 0.5773502691896256 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (49 - cbrt(125)) / tan(315). 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. $tan(315) = -1.0000000000... | (49 - cbrt(125)) / tan(315) | -43.99999999999998 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) + 10) + 16) * 66. 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. $cot(225) = 1.0000000000... | ((tan(315) + 10) + 16) * 66 | 1649 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4 * 77) * 61) - 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4 * 77 = 308$
2. $308 * 61 = 18788$
3. $18788 - 47 = 18741$
Th... | ((4 * 77) * 61) - 47 | 18741 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 23 / 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $23 / 15 = 1.5333333333333334$
The answer is $1.5333333333333334$
3. Drafting th... | 23 / 15 | 1.5333333333333334 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((79 - 27) - sqrt(81)) - 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $79 - 27 = 52$
3. $52 - 9 = 43$
4. $43... | ((79 - 27) - sqrt(81)) - 31 | 12 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 5 * 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5 * 71 = 355$
The answer is $355$
3. Drafting the response: "Ответ на ваш запрос... | 5 * 71 | 355 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) - 24) / 24) + cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $cos(180) = -1$
3. $cbrt(216) = 5.... | ((sqrt(16) - 24) / 24) + cos(180) | -11 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3**4 + 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $81 + 42 = 123$
The answer is $123$
3. Drafting the response:... | 3**4 + 42 | 123 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(16, 5) + sqrt(9)) + sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(16, 5) = 1.7227062322935722$
2. $sqrt(9) = 3$
3.... | (log(16, 5) + sqrt(9)) + sin(90) | 5.7227062322935724 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(0) + 31) + 5**2) + 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $5**2 = 25$
3. $1 + 31 = 32$
4. $32 + 25... | ((cos(0) + 31) + 5**2) + 94 | 151 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(30) - cos(180)) - 91. 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. $cos(180) = -1$
3. $0.499... | (sin(30) - cos(180)) - 91 | -89.5 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(8, 3) * 63) / 16) + 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(8, 3) = 1.892789260714372$
2. $1.892789260714372 * 63 ... | ((log(8, 3) * 63) / 16) + 33 | 40.45285771406284 | log | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(3, 5) * 15. 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. $0.6826061944859854 * 15 = 10.2390929... | log(3, 5) * 15 | 10.239092917289781 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) - 50) + sqrt(49)) * 19. 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. $sqrt(49) = 7$... | ((cos(270) - 50) + sqrt(49)) * 19 | -817 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 - 69) * cbrt(125)) * cbrt(27). 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. $cbrt(27) = 3$
3... | ((44 - 69) * cbrt(125)) * cbrt(27) | -374.9999999999999 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(4, 10) - cbrt(125)) - tan(360)) / 29. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(4, 10) = 0.6020599913279623$
2. $cbrt(12... | ((log(4, 10) - cbrt(125)) - tan(360)) / 29 | -0.1516531037473116 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((86 / 6) + sec(360)) - cbrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $cbrt(64) = 3.9999999999999996$
3. ... | ((86 / 6) + sec(360)) - cbrt(64) | 691.3333333333334 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(36) / 59) * 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $6 / 59 = 0.1016949152542373$
3. $0.10169491525... | (sqrt(36) / 59) * 54 | 5.491525423728814 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(60) + 74) + 71. 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 + 74 = 75.1547... | (csc(60) + 74) + 71 | 146.15470053837925 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (87 + 40) + 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $87 + 40 = 127$
2. $127 + 52 = 179$
The answer is $179$
3. Drafting the... | (87 + 40) + 52 | 179 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 - log(40, 10)) - 3**4) - log(11, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(40, 10) = 1.6020599913279623$
2. $3**4 = 8... | ((44 - log(40, 10)) - 3**4) - log(11, 3) | -40.7847183299721 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (98 + 99) - 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $98 + 99 = 197$
2. $197 - 14 = 183$
The answer is $183$
3. Drafting the... | (98 + 99) - 14 | 183 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 77 * 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $77 * 68 = 5236$
The answer is $5236$
3. Drafting the response: "Ответ на ваш за... | 77 * 68 | 5236 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((88 / 41) + 92) - tan(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $88 / 41 = 2.1463414634146343$
3. $2.1463414... | ((88 / 41) + 92) - tan(0) | 8849.756097560976 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(50, 3) + sin(270). 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. $sin(270) = -1$
3. $3.56087... | log(50, 3) + sin(270) | 2.5608767950073115 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 17 / 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $17 / 84 = 0.20238095238095238$
The answer is $0.20238095238095238$
3. Drafting ... | 17 / 84 | 0.20238095238095238 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (56 / cot(135)) + 65. 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. $56 / -0.9999999999999998 = -56... | (56 / cot(135)) + 65 | 8.999999999999986 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(30) - sin(30). 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. $sin(30) = 0.49999999999999994$
3.... | cos(30) - sin(30) | 0.36602540378443876 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 + 1) * 45) / sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $37 + 1 = 38$
3. $38 * 45 = 1710$
4. $1... | ((37 + 1) * 45) / sqrt(25) | 342 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(4) + 14) - csc(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $csc(90) = 1$
3. $2 + 14 = 16$
4. $16 - 1 ... | (sqrt(4) + 14) - csc(90) | 15 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((15 * cot(135)) - 9) / 5**4. 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. $5**4 = 625$
3. $log(... | ((15 * cot(135)) - 9) / 5**4 | -4.286327513443585 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2**3 + 9) * 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $8 + 9 = 17$
3. $17 * 70 = 1190$
The answer is $1190$
... | (2**3 + 9) * 70 | 1190 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) / 43) * 66) * 7. 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. $sqrt(25) = 5$
3. $-1.0... | ((tan(315) / 43) * 66) * 7 | -15.744186046511633 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (1 * sin(180)) - 89. 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. $1 * 1.2246467991473532e-16 =... | (1 * sin(180)) - 89 | -89 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((86 - 86) * 6**2) * 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $86 - 86 = 0$
3. $0 * 36 = 0$
4. $0 * 18 = 0$... | ((86 - 86) * 6**2) * 18 | 0 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((38 - 8) * csc(60)) + 28. 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. $38 - 8 = 30$
3. $30 * 1.1... | ((38 - 8) * csc(60)) + 28 | 98.64101615137756 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((77 / 14) * log(30, 3)) / 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(30, 3) = 3.0959032742893844$
2. $77 / 14 = 5.5$
3. ... | ((77 / 14) * log(30, 3)) / 72 | 0.2364926112304391 | log | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(135) + 67. 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. $-1.0000000000000002 + 67 = 66$
The ... | tan(135) + 67 | 66 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 68 + log(13, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(13, 10) = 1.1139433523068367$
2. $68 + 1.1139433523068367 = 69.113... | 68 + log(13, 10) | 69.11394335230683 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (74 * 93) / 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. $74 * 93 = 6882$
3. $6882 / 9 = 764.66666666666... | (74 * 93) / sqrt(81) | 764.6666666666666 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (70 / log(27, 5)) * sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(27, 5) = 2.047818583457956$
2. $sqrt(81) = 9$
3. $70... | (70 / log(27, 5)) * sqrt(81) | 307.6444393507647 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 76 + 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $76 + 23 = 99$
The answer is $99$
3. Drafting the response: "Ответ на ваш запрос... | 76 + 23 | 99 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((29 - sin(180)) + 2) - 34. 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. $29 - 1.22464679914735... | ((29 - sin(180)) + 2) - 34 | -3 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(24, 3) / cot(30)) - sqrt(9)) - 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(24, 3) = 2.8927892607143724$
2. $cot(30) = ... | ((log(24, 3) / cot(30)) - sqrt(9)) - 94 | -194.3298473416177 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((87 - 90) * 59) / 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $87 - 90 = -3$
2. $-3 * 59 = -177$
3. $-177 / 42 = -4.2142857142... | ((87 - 90) * 59) / 42 | -4.214285714285714 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((54 - 100) - 41) * sec(45). 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. $54 - 100 = -46$
3. $-46 ... | ((54 - 100) - 41) * sec(45) | -66.03657992645925 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 96 - 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $96 - 51 = 45$
The answer is $45$
3. Drafting the response: "Ответ на ваш запрос... | 96 - 51 | 45 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 83 * 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $83 * 66 = 5478$
The answer is $5478$
3. Drafting the response: "Ответ на ваш за... | 83 * 66 | 5478 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(125) * tan(45)) - 46) - tan(180). 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. $tan(45) = 0.... | ((cbrt(125) * tan(45)) - 46) - tan(180) | -41 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(30) + sqrt(4)) / sqrt(9)) * sin(360). 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. $sqrt(4) = ... | ((sec(30) + sqrt(4)) / sqrt(9)) * sin(360) | -2.5755959443963883e-16 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((43 - 20) * sqrt(16)) + 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $log(25, 10) = 1.3979400086720375$
3. $4... | ((43 - 20) * sqrt(16)) + 72 | 117.31547776201823 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(150) / 27) - cos(180)) + log(36, 5). 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. $cos(180) =... | ((csc(150) / 27) - cos(180)) + log(36, 5) | 3.300639579192831 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 57 - 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $57 - 55 = 2$
The answer is $2$
3. Drafting the response: "Ответ на ваш запрос в... | 57 - 55 | 2 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(60) - 78. 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. $0.8660254037844386 - 78 = -77.1339745962... | sin(60) - 78 | -77.13397459621557 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (38 / 15) - log(6, 5). 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. $38 / 15 = 2.533333333333333$
... | (38 / 15) - log(6, 5) | 1.4200505807739547 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3**3 + sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $sqrt(81) = 9$
3. $27 + 9 = 36$
The answer is $36$
3.... | 3**3 + sqrt(81) | 36 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (73 * 88) / 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $73 * 88 = 6424$
2. $6424 / 49 = 131.10204081632654$
The answer is $131... | (73 * 88) / 49 | 131.10204081632654 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (32 * 77) + 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $32 * 77 = 2464$
2. $2464 + 51 = 2515$
The answer is $2515$
3. Drafting... | (32 * 77) + 51 | 2515 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((65 / sqrt(64)) * 46) / 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $65 / 8 = 8.125$
3. $8.125 * 46 = 373.75... | ((65 / sqrt(64)) * 46) / 85 | 0.11883942766295709 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((25 - log(3, 2)) * 59) - cos(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(3, 2) = 1.5849625007211563$
2. $cos(45) = 0.70710... | ((25 - log(3, 2)) * 59) - cos(45) | 1380.7801056762653 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(90) + sec(120)) - sin(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $sec(120) = -2.000000000000001$
3. $si... | (sin(90) + sec(120)) - sin(60) | -1.8660254037844395 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3 + 17) - 2**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $3 + 17 = 20$
3. $20 - 16 = 4$
The answer is $4$
3. D... | (3 + 17) - 2**4 | 4 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (43 / cos(60)) - sec(60). 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. $sec(60) = 1.9999999999999996... | (43 / cos(60)) - sec(60) | 83.99999999999999 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 + 11) / 98) * 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $53 + 11 = 64$
2. $64 / 98 = 0.6530612244897959$
3. $0.653061224... | ((53 + 11) / 98) * 71 | 2.5759637188208613 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(60) / log(12, 10). 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. $log(12, 10) = 1.079181246047624... | cos(60) / log(12, 10) | 0.4633142040145636 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2 * sqrt(49)) - 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $2 * 7 = 14$
3. $14 - 86 = -72$
The answer is ... | (2 * sqrt(49)) - 86 | -72 | power | 3 | 3 |
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