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: ((89 * cos(60)) + sqrt(81)) - 12. 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. $sqrt(81) = 9$
3. $... | ((89 * cos(60)) + sqrt(81)) - 12 | 249 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3**3 + log(19, 5)) / 59) - 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $log(19, 5) = 1.8294828004351504$
3. $2... | ((3**3 + log(19, 5)) / 59) - 59 | -58.51136469829771 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(135) + log(10, 10)) * cot(30)) / 20. 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. $log(10, 1... | ((tan(135) + log(10, 10)) * cot(30)) / 20 | 39 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(60) - log(16, 2)) * 77) - cbrt(8). 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(16, 2) = ... | ((cos(60) - log(16, 2)) * 77) - cbrt(8) | -271.5 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (78 * sqrt(4)) / 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $78 * 2 = 156$
3. $156 / 35 = 4.457142857142857$
... | (78 * sqrt(4)) / 35 | 4.457142857142857 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (15 / log(7, 10)) + cbrt(125). 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) = 4.999999... | (15 / log(7, 10)) + cbrt(125) | 22.74941993682408 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 + 34) - tan(30)) + tan(60). 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. $tan(60) = 1.732050807... | ((34 + 34) - tan(30)) + tan(60) | 69.15470053837926 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(27) + tan(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $tan(225) = 0.9999999999999997$
3. $3 + 0.999999... | cbrt(27) + tan(225) | 3.9999999999999996 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(0) - 94) / sqrt(81)) + 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $sqrt(81) = 9$
3. $cot(270) = 1.836970... | ((sin(0) - 94) / sqrt(81)) + 19 | 8.555555555555555 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 28 * sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(360) = -2.4492935982947064e-16$
2. $28 * -2.4492935982947064e-16 = -6... | 28 * sin(360) | -6.858022075225178e-15 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(100) * 16) * log(40, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $log(40, 3) = 3.357762781432299$
3. ... | (sqrt(100) * 16) * log(40, 3) | 537.2420450291678 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 91 / 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $91 / 2 = 45.5$
The answer is $45.5$
3. Drafting the response: "Ответ на ваш запр... | 91 / 2 | 45.5 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 95 - 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $95 - 19 = 76$
The answer is $76$
3. Drafting the response: "Ответ на ваш запрос... | 95 - 19 | 76 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((32 / sqrt(100)) * 92) - cbrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $cbrt(64) = 3.9999999999999996$
... | ((32 / sqrt(100)) * 92) - cbrt(64) | 502.98755451800184 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 - sin(90)) - sqrt(16)) + sin(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $sqrt(16) = 4$
3. $sin(45) = 0.... | ((92 - sin(90)) - sqrt(16)) + sin(45) | 87.70710678118655 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (8 / 100) * tan(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(225) = 0.9999999999999997$
2. $8 / 100 = 0.08$
3. $0.08 * 0.... | (8 / 100) * tan(225) | 0.07999999999999997 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 47 / 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $47 / 73 = 0.6438356164383562$
The answer is $0.6438356164383562$
3. Drafting th... | 47 / 73 | 0.6438356164383562 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(100) * 74) - log(29, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $log(29, 10) = 1.462397997898956$
3... | (sqrt(100) * 74) - log(29, 10) | 738.537602002101 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((10 - cos(45)) * 53) + 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(45) = 0.7071067811865476$
2. $10 - 0.7071067811865476 = ... | ((10 - cos(45)) * 53) + 76 | 4548.186724776904 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) - 100) + 5) - 29. 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. $-1.0000000000000004 - 1... | ((tan(315) - 100) + 5) - 29 | -125 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (79 + 74) - 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $79 + 74 = 153$
2. $153 - 67 = 86$
The answer is $86$
3. Drafting the r... | (79 + 74) - 67 | 86 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(60) - 16) * sin(270). 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. $sin(270) = -1$
3. $0.8660... | (sin(60) - 16) * sin(270) | 15.13397459621556 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(135) * 85) + 45. 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 * 85 = -85... | (tan(135) * 85) + 45 | -40.000000000000014 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(36) + 41) / 76) / 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $sqrt(100) = 10$
3. $6 + 41 = 47$
4. $... | ((sqrt(36) + 41) / 76) / 52 | 0.11892712550607289 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((62 - sqrt(4)) / 60) - cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $cbrt(27) = 3$
3. $62 - 2 = 60$
4.... | ((62 - sqrt(4)) / 60) - cbrt(27) | -2 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 93 * 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. $93 * 3.9999999999999996 = 371.99999999... | 93 * cbrt(64) | 371.99999999999994 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(270) * 3**4) - cos(180). 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. $3**4 = 81$
3. $c... | (cos(270) * 3**4) - cos(180) | 0.9999999999999851 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((82 + 19) / cbrt(64)) * 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. $cbrt(64) = 3.99999... | ((82 + 19) / cbrt(64)) * cbrt(64) | 101 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 + 71) / 73) + cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(125) = 4.999999999999999$
2. $90 + 71 = 161$
3. $16... | ((90 + 71) / 73) + cbrt(125) | -62.794520547945204 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((74 / sec(180)) - 6) * 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $74 / -1 = -74$
3. $-74 - 6 = -80$
4. ... | ((74 / sec(180)) - 6) * 18 | -142560 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (24 / csc(150)) * sin(60). 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. $sin(60) = 0.86602540378443... | (24 / csc(150)) * sin(60) | 10.392304845413262 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 75 - 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. $75 - 9 = 66$
The answer is $66$
3. Drafting the respo... | 75 - sqrt(81) | 66 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((35 / 83) + 43) / 85. 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. $35 / 83 = 0.4216867469879... | ((35 / 83) + 43) / 85 | 0.5108433734939761 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(17, 3) - 63) - sec(60)) / sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(17, 3) = 2.5789019231625656$
2. $sec(60) = ... | ((log(17, 3) - 63) - sec(60)) / sqrt(4) | -29.210549038418716 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((16 - log(21, 10)) - 36) - 85. 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. $16 - 1.322219294733... | ((16 - log(21, 10)) - 36) - 85 | -1.5868987954437896 | log | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 98 - cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $98 - 1 = 97$
The answer is $97$
3. Drafting the response:... | 98 - cos(0) | 97 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(270) * 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $-1 * 93 = -93$
The answer is $-93$
3. Drafting the r... | sin(270) * 93 | -93 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (61 * cos(180)) + 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $61 * -1 = -61$
3. $-61 + 62 = 1$
The answer... | (61 * cos(180)) + 62 | 1 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 50 - 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $50 - 39 = 11$
The answer is $11$
3. Drafting the response: "Ответ на ваш запрос... | 50 - 39 | 11 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(9, 10) / 8) - 54) / 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(9, 10) = 0.9542425094393249$
2. $0.9542425094393249 / ... | ((log(9, 10) / 8) - 54) / 81 | -0.6651940702014825 | log | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (79 * sec(0)) / sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $sqrt(49) = 7$
3. $79 * 1 = 79$
4. $79 / 7 ... | (79 * sec(0)) / sqrt(49) | 11.285714285714286 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4 / 32) + sin(60)) + 74. 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. $4 / 32 = 0.125$
3. $0.125... | ((4 / 32) + sin(60)) + 74 | 74.99102540378443 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(60) + 60) + 4**4. 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. $4**4 = 256$
3. $0.86602540378... | (sin(60) + 60) + 4**4 | 316.8660254037844 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 59 + cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $59 + 1 = 60$
The answer is $60$
3. Drafting the response:... | 59 + cos(0) | 60 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 * 81) + 95) - sec(240). 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. $85 * 81 = 6885$
3. $6... | ((85 * 81) + 95) - sec(240) | 6982 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (22 * 5**2) + cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $cbrt(125) = 4.999999999999999$
3. $22 * 25 = 5... | (22 * 5**2) + cbrt(125) | 555 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (1 / cbrt(125)) * cos(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. $cos(180) = -1$
3. $1 / ... | (1 / cbrt(125)) * cos(180) | -0.20000000000000004 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 32 * 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $32 * 73 = 2336$
The answer is $2336$
3. Drafting the response: "Ответ на ваш за... | 32 * 73 | 2336 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3 - csc(270)) * sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $sqrt(64) = 8$
3. $3 - -1 = 4$
4. $4 * ... | (3 - csc(270)) * sqrt(64) | 32 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((25 - sec(240)) + 1) * 62. 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. $25 - -1.9999999999999982... | ((25 - sec(240)) + 1) * 62 | 104160 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((20 * 54) / cbrt(125)) - tan(0). 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. $tan(0) = 0$
3. $2... | ((20 * 54) / cbrt(125)) - tan(0) | 17712.000000000004 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 - sin(60)) + sqrt(25)) + 83. 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. $sqrt(25) = 5$
3. $... | ((75 - sin(60)) + sqrt(25)) + 83 | 162.13397459621558 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((80 / 82) / 89) * 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $80 / 82 = 0.975609756097561$
2. $0.975609756097561 / 89 = 0.01096... | ((80 / 82) / 89) * 17 | 0.18635242532200602 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(125) * sqrt(100). 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. $sqrt(100) = 10$
3. $4.999999... | cbrt(125) * sqrt(100) | 49.99999999999999 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(90) + log(12, 5)) / tan(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $log(12, 5) = 1.5439593106327716$
3... | (csc(90) + log(12, 5)) / tan(225) | 2.5439593106327725 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(180) / log(14, 2)) - cos(90)) / 2**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $log(14, 2) = 3.8073549220... | ((sec(180) / log(14, 2)) - cos(90)) / 2**3 | -0.0328311918796492 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 - 72) / 44) * sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(360) = -2.4492935982947064e-16$
2. $92 - 72 = 20$
3. ... | ((92 - 72) / 44) * sin(360) | -1.1133152719521392e-16 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 * sec(0)) / tan(45)) - 78. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $tan(45) = 0.9999999999999999$
3. $sin(... | ((84 * sec(0)) / tan(45)) - 78 | 6.000000000000014 | trig | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(45) / 34) * cos(0)) + 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(45) = 0.7071067811865476$
2. $cos(0) = 1$
3. $0.70... | ((cos(45) / 34) * cos(0)) + 33 | 33.02079725827019 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(0) + 3**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $3**3 = 27$
3. $0 + 27 = 27$
The answer is $27$
3. Dra... | sin(0) + 3**3 | 27 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(0) + log(16, 2)) + 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $log(16, 2) = 4$
3. $0 + 4 = 4$
4. $4 + 2... | (sin(0) + log(16, 2)) + 24 | 28 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (48 * 48) + sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $48 * 48 = 2304$
3. $2304 + 2 = 2306$
The answe... | (48 * 48) + sqrt(4) | 2306 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(180) - 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $-1 - 6 = -7$
The answer is $-7$
3. Drafting the respo... | cos(180) - 6 | -7 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 + sin(60)) - 44) + 94. 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. $46 + 0.8660254037844386 = ... | ((46 + sin(60)) - 44) + 94 | 153.86602540378445 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((54 - 32) + cbrt(64)) / 38. 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. $sec(120) = -2.0000000000... | ((54 - 32) + cbrt(64)) / 38 | -1.3684210526315796 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 11 / 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $11 / 18 = 0.6111111111111112$
The answer is $0.6111111111111112$
3. Drafting th... | 11 / 18 | 0.6111111111111112 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((32 - 65) - 31) - 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $32 - 65 = -33$
2. $-33 - 31 = -64$
3. $-64 - 56 = -120$
4. $-... | ((32 - 65) - 31) - 56 | -199 | arithmetic | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(360) + 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $1 + 28 = 29$
The answer is $29$
3. Drafting the respo... | sec(360) + 28 | 29 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((82 - cbrt(125)) / 23) / 97. 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. $82 - 4.999999999999999 ... | ((82 - cbrt(125)) / 23) / 97 | 0.03451367099955177 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4 - 51) + sin(360)) + 46. 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. $4 - 51 = -47$
3. $... | ((4 - 51) + sin(360)) + 46 | 84 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((18 - tan(45)) + 83) + 80. 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. $sqrt(81) = 9$
3. $18 - 0... | ((18 - tan(45)) + 83) + 80 | 171 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((71 + sec(45)) - cos(0)) + 4**4. 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. $cos(0) = 1$
3. $4**... | ((71 + sec(45)) - cos(0)) + 4**4 | 327.4142135623731 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(60) + 21) - 33) / sec(180). 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. $sec(180) = -1$
3. ... | ((tan(60) + 21) - 33) / sec(180) | 17.267949192431125 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6**4 * 28) - 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $1296 * 28 = 36288$
3. $36288 - 51 = 36237$
The an... | (6**4 * 28) - 51 | 36237 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(27, 3) / 72) * cbrt(27)) * 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(27, 3) = 3$
2. $cbrt(27) = 3$
3. $3 / 72 = 0.... | ((log(27, 3) / 72) * cbrt(27)) * 85 | 10.625 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(27) / sqrt(16)) - 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $sqrt(16) = 4$
3. $3 / 4 = 0.75$
4. $0.... | (cbrt(27) / sqrt(16)) - 79 | -78.25 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((33 - 12) + 86) - 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $33 - 12 = 21$
2. $21 + 86 = 107$
3. $107 - 73 = 34$
The answe... | ((33 - 12) + 86) - 73 | 34 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3 / sin(60)) + 65. 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. $3 / 0.8660254037844386 = 3.4641016... | (3 / sin(60)) + 65 | 68.46410161513775 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((86 - sqrt(4)) / 59) * cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $cbrt(27) = 3$
3. $86 - 2 = 84$
4.... | ((86 - sqrt(4)) / 59) * cbrt(27) | 0.23728813559322035 | power | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(360) + sqrt(25)) + log(4, 10)) + 69. 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. $sqrt(... | ((sin(360) + sqrt(25)) + log(4, 10)) + 69 | 74.60205999132796 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (61 * 86) - cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $61 * 86 = 5246$
3. $5246 - 1 = 5245$
The answer ... | (61 * 86) - cos(0) | 5245 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(44, 3) / 21) + 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(44, 3) = 3.4445178457870527$
2. $3.4445178457870527 / 21 = 0... | (log(44, 3) / 21) + 91 | 91.16402465932319 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(270) - 70) / 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $-1 - 70 = -71$
3. $-71 / 21 = -3.380952380952... | (sin(270) - 70) / 21 | -3.380952380952381 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(16) - 41) + 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $4 - 41 = -37$
3. $-37 + 79 = 42$
The answer ... | (sqrt(16) - 41) + 79 | 42 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 4**2 / 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**2 = 16$
2. $16 / 47 = 0.3404255319148936$
The answer is $0.3404255319148... | 4**2 / 47 | 0.3404255319148936 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 81 + 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $81 + 38 = 119$
The answer is $119$
3. Drafting the response: "Ответ на ваш запр... | 81 + 38 | 119 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(46, 2) / log(36, 3)) - 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(46, 2) = 5.523561956057013$
2. $log(36, 3) = 3.26185... | (log(46, 2) / log(36, 3)) - 99 | -97.30662174628878 | log | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 4 / 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4 / 21 = 0.19047619047619047$
The answer is $0.19047619047619047$
3. Drafting th... | 4 / 21 | 0.19047619047619047 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 / tan(315)) * 30) + sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(315) = -1.0000000000000004$
2. $sqrt(16) = 4$
3... | ((84 / tan(315)) * 30) + sqrt(16) | -2530.9999999999986 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(90) * sin(30)) * 89) - 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $sin(30) = 0.49999999999999994$
3. $1... | ((sin(90) * sin(30)) * 89) - 32 | 387.4999999999998 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((49 * 90) + 12) + sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $sin(30) = 0.49999999999999994$
3. $4... | ((49 * 90) + 12) + sqrt(100) | 8864.000000000002 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**3 + 72) / 40) * 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $216 + 72 = 288$
3. $288 / 40 = 7.2$
4. $7.2... | ((6**3 + 72) / 40) * 25 | 180 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((100 * sec(0)) - 61) - 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $100 * 1 = 100$
3. $100 - 61 = 39$
4. $39... | ((100 * sec(0)) - 61) - 11 | 28 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) + 5**2) / 4**2) / 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $5**2 = 25$
3. $4**2 = 16$
4. $4 +... | ((sqrt(16) + 5**2) / 4**2) / 68 | 0.02665441176470588 | power | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(7, 10) + 1) / 62) + 84. 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. $sqrt(64) = 8$
3. $0... | ((log(7, 10) + 1) / 62) + 84 | 672.2380771664534 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 93 - 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $93 - 97 = -4$
The answer is $-4$
3. Drafting the response: "Ответ на ваш запрос... | 93 - 97 | -4 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(44, 5) + 77) + 26) / 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(44, 5) = 2.3512492185517644$
2. $2.3512492185517644 +... | ((log(44, 5) + 77) + 26) / 35 | 3.010035691958622 | log | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(45) - sqrt(16)) * 6) * 50. 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. $sqrt(16) = 4$
3. $1.... | ((csc(45) - sqrt(16)) * 6) * 50 | -775.7359312880715 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(32, 3) + sqrt(4)) * sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(32, 3) = 3.154648767857287$
2. $sqrt(4) = 2$
3. ... | (log(32, 3) + sqrt(4)) * sin(90) | 5.154648767857287 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(3, 10) + log(32, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(3, 10) = 0.47712125471966244$
2. $log(32, 3) = 3.1546487678... | log(3, 10) + log(32, 3) | 3.6317700225769496 | log | 3 | 3 |
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