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: (45 + sin(30)) + sin(180). 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. $sin(180) = 1.2246467991473... | (45 + sin(30)) + sin(180) | 45.5 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) / sqrt(64)) * 13) + 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sqrt(64) = 8$
3. $2 / 8 = 0.25$
4... | ((sqrt(4) / sqrt(64)) * 13) + 94 | 97.25 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(21, 10) + cos(45)) - 27) + cot(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(21, 10) = 1.322219294733919$
2. $cos(45) ... | ((log(21, 10) + cos(45)) - 27) + cot(135) | -25.970673924079534 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (54 * cbrt(8)) - sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $sin(270) = -1$
3. $54 * 2 = 108$
4. $108... | (54 * cbrt(8)) - sin(270) | 109 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(30) * tan(360)) * log(45, 10). 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. $tan(360) = -2.4492... | (cos(30) * tan(360)) * log(45, 10) | -3.506712512920577e-16 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((19 + 74) * 3) + 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $19 + 74 = 93$
2. $93 * 3 = 279$
3. $279 + 61 = 340$
The answer... | ((19 + 74) * 3) + 61 | 340 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (33 + 2) / cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $33 + 2 = 35$
3. $35 / -1 = -35$
The answer i... | (33 + 2) / cos(180) | -35 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 100 * 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $100 * 19 = 1900$
The answer is $1900$
3. Drafting the response: "Ответ на ваш ... | 100 * 19 | 1900 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(15, 3) / 51) - cbrt(216)) / 45. 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. $cbrt(216) = 5.... | ((log(15, 3) / 51) - cbrt(216)) / 45 | -0.004723545385609742 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2**4 - tan(135)) + cbrt(216). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $tan(135) = -1.0000000000000002$
3. $cbrt... | (2**4 - tan(135)) + cbrt(216) | 23 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(60) + 16) - log(25, 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. $log(25, 3) = 2.9299470414... | (sin(60) + 16) - log(25, 3) | 13.936078362348583 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 15 - sec(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(60) = 1.9999999999999996$
2. $15 - 1.9999999999999996 = 13$
The answ... | 15 - sec(60) | 13 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (85 / cot(30)) * sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(30) = 1.7320508075688774$
2. $sin(30) = 0.4999999999999999... | (85 / cot(30)) * sin(30) | 24.53738644055909 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((58 - 32) * tan(45)) / 11. 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. $58 - 32 = 26$
3. $26 * 0... | ((58 - 32) * tan(45)) / 11 | -68.63636363636364 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (73 * sin(30)) / 57. 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. $73 * 0.49999999999999994 = 36.49... | (73 * sin(30)) / 57 | 0.6403508771929823 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (60 / sqrt(16)) + sin(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sin(45) = 0.7071067811865476$
3. $60 / 4 ... | (60 / sqrt(16)) + sin(45) | 15.707106781186548 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 * 31) - 23) / 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $97 * 31 = 3007$
2. $3007 - 23 = 2984$
3. $2984 / 1 = 2984$
4. ... | ((97 * 31) - 23) / 1 | 3003 | arithmetic | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((33 * sin(90)) + 44) + 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $33 * 1 = 33$
3. $33 + 44 = 77$
4. $77 +... | ((33 * sin(90)) + 44) + 95 | 139 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (90 - csc(270)) - 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $90 - -1 = 91$
3. $91 - 91 = 0$
The answer i... | (90 - csc(270)) - 91 | 0 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 68 - 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $68 - 3 = 65$
The answer is $65$
3. Drafting the response: "Ответ на ваш запрос в... | 68 - 3 | 65 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (88 - 58) + 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $88 - 58 = 30$
2. $30 + 80 = 110$
The answer is $110$
3. Drafting the r... | (88 - 58) + 80 | 110 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(210) - 41) + csc(90). 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. $csc(90) = 1$
3. $-1.999... | (csc(210) - 41) + csc(90) | -42 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 52 / sin(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. $52 / 0.49999999999999994 = 104.00000000... | 52 / sin(30) | 104.00000000000001 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(90) / 84) * sqrt(100)) + cbrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $sqrt(100) = 10$
3. $cbrt(64)... | ((csc(90) / 84) * sqrt(100)) + cbrt(64) | 4.119047619047619 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3**2 / 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $9 / 46 = 0.1956521739130435$
The answer is $0.195652173913043... | 3**2 / 46 | 0.1956521739130435 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(270) * 64) - sec(45)) + 2**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $sec(45) = 1.414213562373095$
3.... | ((csc(270) * 64) - sec(45)) + 2**3 | -56.54818815858865 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((57 / 63) - tan(315)) + 76. 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. $57 / 63 = 0.90476190476... | ((57 / 63) - tan(315)) + 76 | 158.9047619047619 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(7, 2) * 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(7, 2) = 2.807354922057604$
2. $2.807354922057604 * 40 = 112.29419688... | log(7, 2) * 40 | 112.29419688230416 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (63 / 33) - 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. $63 / 33 = 1.9090909090909092$
3.... | (63 / 33) - csc(45) | 0.49487734671781425 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(0) * 87) - 95) / 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $1 * 87 = 87$
3. $87 - 95 = -8$
4. $-8 / 9... | ((cos(0) * 87) - 95) / 92 | -0.08695652173913043 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 84 + 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $84 + 25 = 109$
The answer is $109$
3. Drafting the response: "Ответ на ваш запр... | 84 + 25 | 109 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((63 / 8) - 94) * 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $63 / 8 = 7.875$
2. $7.875 - 94 = -86.125$
3. $-86.125 * 14 = -12... | ((63 / 8) - 94) * 14 | -120575 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 / 70) + 47) / 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $69 / 70 = 0.9857142857142858$
2. $0.9857142857142858 + 47 = 47.98... | ((69 / 70) + 47) / 60 | 0.009192665571975917 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(16) - 99) / 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $4 - 99 = -95$
3. $-95 / 36 = -2.63888888888888... | (sqrt(16) - 99) / 36 | -2.638888888888889 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((79 - 83) * 1) - 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $79 - 83 = -4$
2. $-4 * 1 = -4$
3. $-4 - 33 = -37$
The answer i... | ((79 - 83) * 1) - 33 | -37 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4 - 67) - 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4 - 67 = -63$
2. $-63 - 21 = -84$
The answer is $-84$
3. Drafting the r... | (4 - 67) - 21 | -84 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(90) - sqrt(81)) / sec(30)) + sec(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. $sqrt(81)... | ((cot(90) - sqrt(81)) / sec(30)) + sec(0) | 51.20577136594005 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(240) / sin(90)) - 70) - cos(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(240) = -1.9999999999999982$
2. $sin(90) = 1$
... | ((sec(240) / sin(90)) - 70) - cos(45) | -2399.3345237791564 | trig | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(270) * 84. 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. $-1.8369701987210297e-16 * 84 = -1... | cos(270) * 84 | -1.543054966925665e-14 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((54 - 67) * 73) * 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $54 - 67 = -13$
2. $-13 * 73 = -949$
3. $-949 * 55 = -52195$
T... | ((54 - 67) * 73) * 55 | -52195 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 46 / 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $46 / 7 = 6.571428571428571$
The answer is $6.571428571428571$
3. Drafting the re... | 46 / 7 | 6.571428571428571 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4 / 68) - 90) - 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4 / 68 = 0.058823529411764705$
2. $0.058823529411764705 - 90 = -89... | ((4 / 68) - 90) - 12 | -101.94117647058823 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (68 + 20) - 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $68 + 20 = 88$
2. $88 - 17 = 71$
The answer is $71$
3. Drafting the res... | (68 + 20) - 17 | 71 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((1 - log(47, 3)) + 58) / 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(47, 3) = 3.504555375379736$
2. $cos(90) = 6.12323399573... | ((1 - log(47, 3)) + 58) / 8 | 4.2476449141750244e-16 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2**2 - 98) / sin(60)) + 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $sin(60) = 0.8660254037844386$
3. $sqrt(25)... | ((2**2 - 98) / sin(60)) + 17 | -18.30837012152993 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 95 + 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $95 + 74 = 169$
The answer is $169$
3. Drafting the response: "Ответ на ваш запр... | 95 + 74 | 169 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(150) - 87) * cot(30)) / 9. 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. $cot(30) = 1.73205080... | ((csc(150) - 87) * cot(30)) / 9 | -16.3582576270394 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(9, 3) + log(30, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(9, 3) = 2$
2. $log(30, 3) = 3.0959032742893844$
3. $2 + 3.... | log(9, 3) + log(30, 3) | 5.095903274289384 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) / cos(60)) * tan(135)) * 15. 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. $cos(60) = 0.... | ((cos(90) / cos(60)) * tan(135)) * 15 | -1.83697019872103e-15 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(45) / 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(45) = 1.414213562373095$
2. $1.414213562373095 / 52 = 0.02719641466102... | sec(45) / 52 | 0.027196414661021056 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((89 - csc(60)) - 10) + 52. 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. $89 - 1.1547005383792517 = ... | ((89 - csc(60)) - 10) + 52 | 129.84529946162075 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((89 + 93) / 50) - log(18, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(18, 10) = 1.2552725051033058$
2. $89 + 93 = 182$
3... | ((89 + 93) / 50) - log(18, 10) | 2.384727494896694 | log | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((32 / 12) + 54) * 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $32 / 12 = 2.6666666666666665$
2. $2.6666666666666665 + 54 = 56.66... | ((32 / 12) + 54) * 82 | 4646.666666666666 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (100 / 13) * sin(45). 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. $100 / 13 = 7.6923076923076925$
... | (100 / 13) * sin(45) | 5.439282932204212 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5**2 - 81) / csc(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $csc(45) = 1.414213562373095$
3. $25 - 81 = -56$
... | (5**2 - 81) / csc(45) | -39.59797974644666 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((74 + 44) * 28) / 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $74 + 44 = 118$
2. $118 * 28 = 3304$
3. $3304 / 95 = 34.77894736... | ((74 + 44) * 28) / 95 | 93.77894736842106 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(90) * log(42, 10). 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. $log(42, 10) = 1.623249290397... | cos(90) * log(42, 10) | 9.939535238520005e-17 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(40, 10) / cot(315)) + cos(60)) + 1. 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. $cot(315)... | ((log(40, 10) / cot(315)) + cos(60)) + 1 | -0.10205999132796295 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 81 / cos(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. $81 / 0.8660254037844387 = 93.53074360871... | 81 / cos(30) | 93.53074360871936 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 25 + cot(90). 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. $25 + 6.123233995736766e-17 = 25$
Th... | 25 + cot(90) | 25 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 * tan(45)) / sec(360)) * 39. 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. $sec(360) = 1$
3. $... | ((46 * tan(45)) / sec(360)) * 39 | 1793.9999999999998 | trig | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 / sec(360)) + log(2, 5)) - sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $log(2, 5) = 0.4306765580733930... | ((75 / sec(360)) + log(2, 5)) - sin(0) | 1.0332969391516902 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((59 + cos(180)) / 51) * 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $59 + -1 = 58$
3. $58 / 51 = 1.13725490... | ((59 + cos(180)) / 51) * 60 | 68.23529411764706 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 67 - cbrt(64). 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. $67 - 3.9999999999999996 = 63$
The an... | 67 - cbrt(64) | 63 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(90) + log(50, 2)) - log(40, 3)) * 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $log(50, 2) = 5.643856189774... | ((sin(90) + log(50, 2)) - log(40, 3)) * 89 | 286.46231334247585 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (67 + csc(60)) / 83. 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. $67 + 1.1547005383792517 = 68.1547... | (67 + csc(60)) / 83 | 0.8211409703419186 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 - 80) - 35) + 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $73 - 80 = -7$
2. $-7 - 35 = -42$
3. $-42 + 60 = 18$
4. $18 * ... | ((73 - 80) - 35) + 60 | 468 | arithmetic | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((57 * cot(225)) * 79) * 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(225) = 1.0000000000000004$
2. $57 * 1.0000000000000004 ... | ((57 * cot(225)) * 79) * 89 | 400767.0000000002 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (45 * 45) / cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $45 * 45 = 2025$
3. $2025 / -1 = -2025$
The ... | (45 * 45) / cos(180) | -2025 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (53 / log(46, 5)) / sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(46, 5) = 2.378868651539773$
2. $sqrt(49) = 7$
3. $53... | (53 / log(46, 5)) / sqrt(49) | 3.182785466750257 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 2 - 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2 - 60 = -58$
The answer is $-58$
3. Drafting the response: "Ответ на ваш запрос... | 2 - 60 | -58 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((51 - 84) * sin(90)) - 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $51 - 84 = -33$
3. $-33 * 1 = -33$
4. $-... | ((51 - 84) * sin(90)) - 72 | -5 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(60) * cbrt(216)) + csc(45)) / 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(60) = 1.9999999999999996$
2. $cbrt(216) = 5.... | ((sec(60) * cbrt(216)) + csc(45)) / 66 | 0.23468787306676467 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 91 - sec(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $91 - -1 = 92$
The answer is $92$
3. Drafting the res... | 91 - sec(180) | 92 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 12 / 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $12 / 54 = 0.2222222222222222$
The answer is $0.2222222222222222$
3. Drafting th... | 12 / 54 | 0.2222222222222222 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 - log(36, 2)) / 6) - 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(36, 2) = 5.169925001442312$
2. $13 - 5.169925001442312... | ((13 - log(36, 2)) / 6) - 69 | -67.69498750024039 | log | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(81) / 74) * 99) * 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $9 / 74 = 0.12162162162162163$
3. $0.121... | ((sqrt(81) / 74) * 99) * 34 | 409.3783783783784 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((64 / 22) - sqrt(81)) + 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. $64 / 22 = 2.909090909090909$
3. $2.9090... | ((64 / 22) - sqrt(81)) + 10 | 3.909090909090909 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(360) + 38) - log(6, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $log(6, 10) = 0.7781512503836435$
3. $1... | (cos(360) + 38) - log(6, 10) | 38.221848749616356 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((64 - 48) * 63) * log(21, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(21, 2) = 4.392317422778761$
2. $64 - 48 = 16$
3. $1... | ((64 - 48) * 63) * log(21, 2) | 416180.8604431331 | log | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) - cot(135)) * 3**2) * 75. 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. $cot(135) = -0.9999... | ((sin(60) - cot(135)) * 3**2) * 75 | 1259.567147554496 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(43, 5) / tan(60). 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. $tan(60) = 1.7320508075688767$
... | log(43, 5) / tan(60) | 1.3492473878582412 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(49) * 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $7 * 18 = 126$
The answer is $126$
3. Drafting the res... | sqrt(49) * 18 | 126 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (64 / 93) - 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $64 / 93 = 0.6881720430107527$
2. $0.6881720430107527 - 97 = -96.31182795... | (64 / 93) - 97 | -96.31182795698925 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((91 * 8) * 24) / 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $91 * 8 = 728$
2. $728 * 24 = 17472$
3. $17472 / 99 = 176.4848484... | ((91 * 8) * 24) / 99 | 176.4848484848485 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(16) / sin(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sin(60) = 0.8660254037844386$
3. $4 / 0.86602540... | sqrt(16) / sin(60) | 4.618802153517007 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((59 - 36) + sin(60)) - 4**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. $4**3 = 64$
3. $59 - 36... | ((59 - 36) + sin(60)) - 4**3 | -3090.3160439085987 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (96 - 54) * 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $96 - 54 = 42$
2. $42 * 61 = 2562$
The answer is $2562$
3. Drafting the... | (96 - 54) * 61 | 2562 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4 / log(47, 10)) + tan(135)) / 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(47, 10) = 1.6720978579357173$
2. $tan(135) = -1... | ((4 / log(47, 10)) + tan(135)) / 55 | 0.025312808871324463 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((98 - 33) / 67) + 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $98 - 33 = 65$
3. $65 / 67 = 0.9701492537313... | ((98 - 33) / 67) + 94 | 949.7014925373135 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(35, 3) - sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(35, 3) = 3.236217269879349$
2. $sqrt(49) = 7$
3. $3.2362172... | log(35, 3) - sqrt(49) | -3.763782730120651 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (80 - tan(135)) * cbrt(125). 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. $cbrt(125) = 4.999999999... | (80 - tan(135)) * cbrt(125) | 404.99999999999994 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (29 / 100) * 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $29 / 100 = 0.29$
2. $0.29 * 73 = 21.169999999999998$
The answer is $2... | (29 / 100) * 73 | 21.169999999999998 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (93 / 8) + cbrt(216). 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. $93 / 8 = 11.625$
3. $11.625 +... | (93 / 8) + cbrt(216) | 17.625 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(360) * sec(0)) + sqrt(81)) * cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(360) = -2.4492935982947064e-16$
2. $sec... | ((sin(360) * sec(0)) + sqrt(81)) * cos(360) | 9 | mixed | 5 | 9 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(100) + 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $10 + 35 = 45$
The answer is $45$
3. Drafting the r... | sqrt(100) + 35 | 45 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(216) - 71) + 35) + tan(225). 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. $tan(225) = 0.9999... | ((cbrt(216) - 71) + 35) + tan(225) | -29 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(13, 2) * 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(13, 2) = 3.700439718141092$
2. $3.700439718141092 * 20 = 74.0087943... | log(13, 2) * 20 | 74.00879436282185 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(9) / cbrt(8)) * 33) * 2**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $cbrt(8) = 2$
3. $2**4 = 16$
4. $... | ((sqrt(9) / cbrt(8)) * 33) * 2**4 | 792 | power | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((98 + 53) / 46) + cos(270). 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. $98 + 53 = 151$
3.... | ((98 + 53) / 46) + cos(270) | 3.282608695652174 | trig | 1 | 4 |
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