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(50, 2) - 3**3) + 6) / 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(50, 2) = 5.643856189774724$
2. $3**3 = 27$
3. $5.6... | ((log(50, 2) - 3**3) + 6) / 94 | -0.16336323202367314 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((28 - 99) + cot(315)) + 77. 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. $28 - 99 = -71$
3. $-7... | ((28 - 99) + cot(315)) + 77 | 445 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(16) - sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sqrt(100) = 10$
3. $4 - 10 = -6$
The answer ... | sqrt(16) - sqrt(100) | -6 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (25 + sin(30)) - cos(30). 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(30) = 0.866025403784438... | (25 + sin(30)) - cos(30) | 24.633974596215563 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 / csc(45)) - 6**3) * tan(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(45) = 1.414213562373095$
2. $6**3 = 216$
3. $t... | ((44 / csc(45)) - 6**3) * tan(360) | 4.528432842829332e-14 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 34 + log(43, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(43, 5) = 2.336965027750064$
2. $34 + 2.336965027750064 = 36.3369650... | 34 + log(43, 5) | 36.33696502775006 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((31 / sin(30)) + sqrt(81)) - cos(360). 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. $sqrt(81) = 9$... | ((31 / sin(30)) + sqrt(81)) - cos(360) | 133 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(32, 2) - 41) * 39) + sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(32, 2) = 5$
2. $sin(270) = -1$
3. $5 - 41 = -... | ((log(32, 2) - 41) * 39) + sin(270) | -1405 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((99 * cos(30)) - log(14, 5)) * 13. 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. $log(14, 5) = 1.639... | ((99 * cos(30)) - log(14, 5)) * 13 | 1093.2580939990303 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 48 - 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $48 - 68 = -20$
The answer is $-20$
3. Drafting the response: "Ответ на ваш запр... | 48 - 68 | -20 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((72 * 35) / 25) - 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $72 * 35 = 2520$
2. $2520 / 25 = 100.8$
3. $100.8 - 20 = 80.8$
... | ((72 * 35) / 25) - 20 | 80.8 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((43 + sin(60)) - cbrt(8)) / 30. 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. $cbrt(8) = 2$
3. $43... | ((43 + sin(60)) - cbrt(8)) / 30 | 75.35884572681199 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((7 - cos(180)) + 14) / 26. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $7 - -1 = 8$
3. $8 + 14 = 22$
4. $22 /... | ((7 - cos(180)) + 14) / 26 | 0.8461538461538461 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(0) * 93) + cot(90)) * 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $cot(90) = 6.123233995736766e-17$
3. $0... | ((sin(0) * 93) + cot(90)) * 86 | 5.2659812363336185e-15 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(45) * 68. 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. $0.9999999999999999 * 68 = 67.99999999999... | tan(45) * 68 | 67.99999999999999 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((58 / sec(0)) * 87) * 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $58 / 1 = 58$
3. $58 * 87 = 5046$
4. $5046... | ((58 / sec(0)) * 87) * 47 | 19921608 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 * 33) - 70) - sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $cos(180) = -1$
3. $90 * 33 = 2970$
4. $29... | ((90 * 33) - 70) - sin(0) | 2901 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 30 + 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $30 + 76 = 106$
The answer is $106$
3. Drafting the response: "Ответ на ваш запр... | 30 + 76 | 106 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) / 61) + 2**2) + 7. 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. $2**2 = 4$
3. $6.1232... | ((cos(90) / 61) + 2**2) + 7 | 825 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((18 * 4**3) + cbrt(27)) / 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $cbrt(27) = 3$
3. $sqrt(16) = 4$
4. $18... | ((18 * 4**3) + cbrt(27)) / 86 | 9.430232558139535 | power | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (25 / cos(60)) * sin(270). 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. $sin(270) = -1$
3. $25 / 0... | (25 / cos(60)) * sin(270) | -49.999999999999986 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) + 43) * 37) - cot(225). 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. $cot(225) = 1.0... | ((sin(180) + 43) * 37) - cot(225) | 31.176470588235293 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 93 * 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $93 * 45 = 4185$
The answer is $4185$
3. Drafting the response: "Ответ на ваш за... | 93 * 45 | 4185 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(49, 5) + 43) / 34) * cos(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(49, 5) = 2.418123910244335$
2. $cos(90) = 6.1232... | ((log(49, 5) + 43) / 34) * cos(90) | -81 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(25, 2) - 62) / 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(25, 2) = 4.643856189774724$
2. $4.643856189774724 - 62 = -57.... | (log(25, 2) - 62) / 6 | -9.559357301704212 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (46 * tan(60)) - cbrt(27). 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. $cbrt(27) = 3$
3. $46 * 1.... | (46 * tan(60)) - cbrt(27) | 76.67433714816833 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((38 + 78) + 31) + 63. 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. $38 + 78 = 116$
3. $116 +... | ((38 + 78) + 31) + 63 | 210 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**3 - 27) - cos(270)) + tan(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $cos(270) = -1.8369701987210297e-16$
... | ((6**3 - 27) - cos(270)) + tan(60) | 190.73205080756887 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((52 + 22) * 96) + 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $52 + 22 = 74$
2. $74 * 96 = 7104$
3. $7104 + 59 = 7163$
The a... | ((52 + 22) * 96) + 59 | 7163 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 * log(37, 3)) - 67) + log(4, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(37, 3) = 3.2867991282182727$
2. $log(4, 3) = 1... | ((41 * log(37, 3)) - 67) + log(4, 3) | 69.0206237640921 | log | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 63 + 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $63 + 22 = 85$
The answer is $85$
3. Drafting the response: "Ответ на ваш запрос... | 63 + 22 | 85 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 6**3 + 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $216 + 87 = 303$
The answer is $303$
3. Drafting the respons... | 6**3 + 87 | 303 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (92 / 95) * 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $92 / 95 = 0.968421052631579$
2. $0.968421052631579 * 18 = 17.43157894736... | (92 / 95) * 18 | 17.431578947368422 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(180) - cos(90)) + 41) + cos(45). 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(90) = 6.123233995736766e-1... | ((sec(180) - cos(90)) + 41) + cos(45) | 40.707106781186546 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(60) + 58. 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. $0.5000000000000001 + 58 = 58.5$
The an... | cos(60) + 58 | 58.5 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 71 + 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. $71 + 8 = 79$
The answer is $79$
3. Drafting the respo... | 71 + sqrt(64) | 79 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((72 - 62) - 44) + 67. 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. $72 - 62 = 10$
3. $10 - 44 = -... | ((72 - 62) - 44) + 67 | 32 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 + 2**3) - cbrt(216)) / sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $cbrt(216) = 5.999999999999999$
3.... | ((24 + 2**3) - cbrt(216)) / sqrt(100) | 2.6 | power | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) * 41) - log(38, 10)) - cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $log(38, 10) = 1.57978359661681... | ((sqrt(4) * 41) - log(38, 10)) - cos(0) | 79.4202164033832 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(270) + 95) + cos(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $cos(30) = 0.8660254037844387$
3. $-1 + 9... | (sin(270) + 95) + cos(30) | 94.86602540378443 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(360) / sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $sqrt(81) = 9$
3. $1 / 9 = 0.1111111111111111$
... | cos(360) / sqrt(81) | 0.1111111111111111 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((58 * log(9, 2)) / 67) * 30. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(9, 2) = 3.1699250014423126$
2. $csc(150) = 2.000000000... | ((58 * log(9, 2)) / 67) * 30 | 164.64685082118282 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((31 / cos(60)) - 14) * 23. 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. $31 / 0.5000000000000001 = ... | ((31 / cos(60)) - 14) * 23 | 1103.9999999999998 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(270) + 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $-1 + 56 = 55$
The answer is $55$
3. Drafting the res... | csc(270) + 56 | 55 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) * cos(180)) - 4) / 90. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $cos(180) = -1$
3. $8 * -1 = -8$
... | ((sqrt(64) * cos(180)) - 4) / 90 | 82.86666666666666 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 + 15) + 51) * 6**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $95 + 15 = 110$
3. $110 + 51 = 161$
4. $161 *... | ((95 + 15) + 51) * 6**2 | 95.01639344262296 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (54 - 8) / csc(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(45) = 1.414213562373095$
2. $54 - 8 = 46$
3. $46 / 1.414213562... | (54 - 8) / csc(45) | 32.526911934581186 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 * cos(0)) * 40) + 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $84 * 1 = 84$
3. $84 * 40 = 3360$
4. $3360... | ((84 * cos(0)) * 40) + 55 | 63.24074074074074 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(45) + sqrt(64)) * 62. 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. $0.70710... | (sin(45) + sqrt(64)) * 62 | 539.840620433566 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(180) + csc(210). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $csc(210) = -1.9999999999999996$
3. $-1 + -1.99... | sec(180) + csc(210) | -2.9999999999999996 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 59 * 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $59 * 12 = 708$
The answer is $708$
3. Drafting the response: "Ответ на ваш запр... | 59 * 12 | 708 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 24 * csc(60). 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. $24 * 1.1547005383792517 = 27.71281292110... | 24 * csc(60) | 27.712812921102042 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((77 - 89) - sqrt(9)) + 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $77 - 89 = -12$
3. $-12 - 3 = -15$
4. $-... | ((77 - 89) - sqrt(9)) + 81 | 86 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 55 - tan(180). 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. $55 - -1.2246467991473532e-16 = 55... | 55 - tan(180) | 55 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 / sec(360)) * 15) / 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $47 / 1 = 47$
3. $47 * 15 = 705$
4. $7... | ((47 / sec(360)) * 15) / 54 | 874.7222222222222 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(90) - csc(270). 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. $csc(270) = -1$
3. $6.12323399... | cos(90) - csc(270) | 1 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 75 + log(14, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(14, 10) = 1.1461280356782377$
2. $75 + 1.1461280356782377 = 76.146... | 75 + log(14, 10) | 76.14612803567823 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 10 - tan(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. $10 - 1.7320508075688767 = 8.267949192431... | 10 - tan(60) | 8.267949192431123 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(16, 10) - tan(360)) / 71) / 26. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(16, 10) = 1.2041199826559246$
2. $tan(360) = -... | ((log(16, 10) - tan(360)) / 71) / 26 | 0.0006522860144398292 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((15 - sqrt(16)) / log(10, 10)) * 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. $log(10, 10) = 1$
3. $3**2 = 9$... | ((15 - sqrt(16)) / log(10, 10)) * 20 | 211 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(315) * sqrt(25). 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. $-1.00000000... | tan(315) * sqrt(25) | -5.000000000000002 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(22, 3) / 57) / 70. 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. $2.8135880922155954 / 57 = 0... | (log(22, 3) / 57) / 70 | 0.0007051599228610515 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4 - 85) * 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4 - 85 = -81$
2. $-81 * 47 = -3807$
The answer is $-3807$
3. Drafting t... | (4 - 85) * 47 | -3807 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 21 - 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $21 - 63 = -42$
The answer is $-42$
3. Drafting the response: "Ответ на ваш запр... | 21 - 63 | -42 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 * 84) * 4) + 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $23 * 84 = 1932$
2. $1932 * 4 = 7728$
3. $7728 + 38 = 7766$
4. ... | ((23 * 84) * 4) + 38 | 970.75 | arithmetic | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) + 43) / log(40, 3)) / 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $log(40, 3) = 3.357762781432299$
... | ((sqrt(49) + 43) / log(40, 3)) / 85 | 0.1751866741064797 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(60) / sqrt(9)) * 64. 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. $sqrt(9) = 3$
3. $1.7320508... | (tan(60) / sqrt(9)) * 64 | 36.95041722813604 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(13, 10) - 55) - 53) / 80. 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. $1.1139433523068367... | ((log(13, 10) - 55) - 53) / 80 | -1.3360757080961645 | log | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(81) / 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $9 / 91 = 0.0989010989010989$
The answer is $0.0989010... | sqrt(81) / 91 | 0.0989010989010989 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (70 * 81) / 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $70 * 81 = 5670$
2. $5670 / 2 = 2835$
The answer is $2835$
3. Drafting t... | (70 * 81) / 2 | 2835 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(0) + 89) * 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $1 + 89 = 90$
3. $90 * 9 = 810$
The answer is $810... | (sec(0) + 89) * 9 | 810 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(90) / 60. 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. $6.123233995736766e-17 / 60 = 1.020538... | cos(90) / 60 | 1.020538999289461e-18 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((20 - 27) + 5) / 78. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $20 - 27 = -7$
2. $-7 + 5 = -2$
3. $-2 / 78 = -0.0256410256410256... | ((20 - 27) + 5) / 78 | -0.02564102564102564 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 92 - 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. $92 - 9 = 83$
The answer is $83$
3. Drafting the respo... | 92 - sqrt(81) | 83 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 4 - 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4 - 62 = -58$
The answer is $-58$
3. Drafting the response: "Ответ на ваш запрос... | 4 - 62 | -58 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(270) * 36) * 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $-1 * 36 = -36$
3. $-36 * 34 = -1224$
The an... | (sin(270) * 36) * 34 | -1224 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 30 * 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $30 * 55 = 1650$
The answer is $1650$
3. Drafting the response: "Ответ на ваш за... | 30 * 55 | 1650 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 * 20) - tan(180)) + tan(30). 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. $tan(30) = 0.57... | ((44 * 20) - tan(180)) + tan(30) | 782.5773502691897 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 36 - 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. $36 - -1.0000000000000002 = 37$
The ... | 36 - tan(135) | 37 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (8 - 45) - 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $8 - 45 = -37$
2. $-37 - 56 = -93$
The answer is $-93$
3. Drafting the r... | (8 - 45) - 56 | -93 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(25) - sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $sqrt(4) = 2$
3. $5 - 2 = 3$
The answer is $3$
... | sqrt(25) - sqrt(4) | 3 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(28, 5) / cot(60)) * 86) - 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(28, 5) = 2.0704150712689535$
2. $cot(60) = 0.577... | ((log(28, 5) / cot(60)) * 86) - 99 | 209.40151227269814 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(25) - 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $5 - 43 = -38$
The answer is $-38$
3. Drafting the res... | sqrt(25) - 43 | -38 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(0) * sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $sqrt(36) = 6$
3. $1 * 6 = 6$
The answer is $6$
3.... | cos(0) * sqrt(36) | 6 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 66 / 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. $66 / -1 = -66$
The answer is $-66$
3. Drafting the r... | 66 / csc(270) | -66 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) - 98) * sec(180)) * 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $sec(180) = -1$
3. $log(6, 5) = 1.... | ((sqrt(25) - 98) * sec(180)) * 82 | 7624.88671724744 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(41, 5) * 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(41, 5) = 2.3073720570481235$
2. $2.3073720570481235 * 98 = 226.1224... | log(41, 5) * 98 | 226.1224615907161 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(9) * cot(225)) / 5) - sec(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $cot(225) = 1.0000000000000004$
... | ((sqrt(9) * cot(225)) / 5) - sec(45) | 8.185786437626906 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(7, 10) + 77) / cbrt(125)) + cot(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(7, 10) = 0.8450980400142567$
2. $cbrt(125... | ((log(7, 10) + 77) / cbrt(125)) + cot(30) | 17.30107041557173 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**4 + 53) / cos(45)) - 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $cos(45) = 0.7071067811865476$
3. $1296 ... | ((6**4 + 53) / cos(45)) - 41 | 1866.7740956413052 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (9 * sqrt(100)) + 5**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $5**4 = 625$
3. $9 * 10 = 90$
4. $90 + 62... | (9 * sqrt(100)) + 5**4 | 715 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (50 - cos(0)) - sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $sqrt(81) = 9$
3. $50 - 1 = 49$
4. $49 - 9 ... | (50 - cos(0)) - sqrt(81) | 40 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (58 + sin(60)) - 6**3. 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. $6**3 = 216$
3. $58 + 0.866025... | (58 + sin(60)) - 6**3 | -157.13397459621555 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 22 - tan(360). 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. $22 - -2.4492935982947064e-16 = 22... | 22 - tan(360) | 22 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((86 - csc(45)) + 59) + sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(45) = 1.414213562373095$
2. $sqrt(36) = 6$
3. $8... | ((86 - csc(45)) + 59) + sqrt(36) | 149.5857864376269 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (94 - log(24, 2)) * sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(24, 2) = 4.584962500721157$
2. $sqrt(100) = 10$
3. ... | (94 - log(24, 2)) * sqrt(100) | 894.1503749927883 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(210) - 15) - sin(60). 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. $sin(60) = 0.8660254037844... | (csc(210) - 15) - sin(60) | -17.866025403784437 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 * cbrt(8)) / log(24, 5)) * 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $log(24, 5) = 1.9746358687061647$
... | ((70 * cbrt(8)) / log(24, 5)) * 97 | 6877.217321539889 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(46, 3) * 6) * 90. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(46, 3) = 3.4849795837717283$
2. $3.4849795837717283 * 6 = 20.... | (log(46, 3) * 6) * 90 | 1881.8889752367331 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (77 / sqrt(25)) - 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $77 / 5 = 15.4$
3. $15.4 - 10 = 5.4$
The answ... | (77 / sqrt(25)) - 10 | 5.4 | power | 4 | 3 |
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