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: (78 / cos(0)) + sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $sqrt(4) = 2$
3. $78 / 1 = 78$
4. $78 + 2 = ... | (78 / cos(0)) + sqrt(4) | 80 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((29 / 76) / cos(60)) / sec(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(60) = 0.5000000000000001$
2. $sec(60) = 1.999999999... | ((29 / 76) / cos(60)) / sec(60) | 0.3815789473684211 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((31 / 96) / cos(45)) * 95. 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. $sin(360) = -2.449293598294... | ((31 / 96) / cos(45)) * 95 | 43.383947304049634 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (57 + 3) / log(15, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(15, 10) = 1.1760912590556811$
2. $57 + 3 = 60$
3. $60 / 1.... | (57 + 3) / log(15, 10) | 51.01644922365616 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((43 / tan(45)) + 63) + cbrt(8). 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. $cbrt(8) = 2$
3. $43... | ((43 / tan(45)) + 63) + cbrt(8) | 108 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 18 * 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $18 * 45 = 810$
The answer is $810$
3. Drafting the response: "Ответ на ваш запр... | 18 * 45 | 810 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(45) / csc(90)) + cbrt(8). 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. $csc(90) = 1$
3. $cbrt... | (cos(45) / csc(90)) + cbrt(8) | 2.7071067811865475 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(210) - 70) * 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. $-1.9999999999999996 - 70 = -72... | (csc(210) - 70) * 60 | -4320 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 54 - 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $54 - 60 = -6$
The answer is $-6$
3. Drafting the response: "Ответ на ваш запрос... | 54 - 60 | -6 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(90) + 68) - 51. 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. $6.123233995736766e-17 + 68 = 6... | (cot(90) + 68) - 51 | 17 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 26 * 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $26 * 68 = 1768$
The answer is $1768$
3. Drafting the response: "Ответ на ваш за... | 26 * 68 | 1768 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(36) + 2**3) + 88) * 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $2**3 = 8$
3. $6 + 8 = 14$
4. $14 + ... | ((sqrt(36) + 2**3) + 88) * 54 | 5508 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4 - 41) / 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4 - 41 = -37$
2. $-37 / 94 = -0.39361702127659576$
The answer is $-0.39... | (4 - 41) / 94 | -0.39361702127659576 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((12 + 80) * 66) * 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $12 + 80 = 92$
2. $92 * 66 = 6072$
3. $6072 * 10 = 60720$
The ... | ((12 + 80) * 66) * 10 | 60720 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 / sin(60)) / 11) + 24. 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. $76 / 0.8660254037844386 = ... | ((76 / sin(60)) / 11) + 24 | 51.977930992438466 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (81 * 74) + 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $81 * 74 = 5994$
2. $5994 + 100 = 6094$
The answer is $6094$
3. Drafti... | (81 * 74) + 100 | 6094 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 73 / log(25, 2). 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. $73 / 4.643856189774724 = 15.7196943... | 73 / log(25, 2) | 15.719694369678848 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 37 / 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $37 / 97 = 0.38144329896907214$
The answer is $0.38144329896907214$
3. Drafting ... | 37 / 97 | 0.38144329896907214 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(49) - 78) + sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sqrt(36) = 6$
3. $7 - 78 = -71$
4. $-7... | (sqrt(49) - 78) + sqrt(36) | -65 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((10 * 4**4) + cos(90)) / 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $cos(90) = 6.123233995736766e-17$
3. $sin... | ((10 * 4**4) + cos(90)) / 65 | 39.38461538461539 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 - 67) / 15) - sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $70 - 67 = 3$
3. $3 / 15 = 0.2$
4. $0.2 ... | ((70 - 67) / 15) - sin(90) | -0.8 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 - 94) - 92) / 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $95 - 94 = 1$
3. $1 - 92 = -91$
4. $-91 / 43 =... | ((95 - 94) - 92) / 43 | -457.1162790697675 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (81 - 36) + 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $81 - 36 = 45$
2. $45 + 79 = 124$
The answer is $124$
3. Drafting the r... | (81 - 36) + 79 | 124 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (84 + cos(270)) + log(36, 10). 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. $log(36, 10) = 1.5... | (84 + cos(270)) + log(36, 10) | 85.55630250076729 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 55 / 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $55 / 58 = 0.9482758620689655$
The answer is $0.9482758620689655$
3. Drafting th... | 55 / 58 | 0.9482758620689655 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (55 / 85) + 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $55 / 85 = 0.6470588235294118$
2. $0.6470588235294118 + 46 = 46.647058823... | (55 / 85) + 46 | 46.64705882352941 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (70 / 51) * 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $70 / 51 = 1.3725490196078431$
2. $1.3725490196078431 * 58 = 79.607843137... | (70 / 51) * 58 | 79.6078431372549 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (70 * sqrt(64)) / log(31, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $log(31, 5) = 2.133656214977323$
3. $70... | (70 * sqrt(64)) / log(31, 5) | 262.4602764349044 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 42 * 4**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**2 = 16$
2. $42 * 16 = 672$
The answer is $672$
3. Drafting the response:... | 42 * 4**2 | 672 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 + 48) - 57) + 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $34 + 48 = 82$
2. $82 - 57 = 25$
3. $25 + 67 = 92$
The answer ... | ((34 + 48) - 57) + 67 | 92 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 34 + 4**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $34 + 256 = 290$
The answer is $290$
3. Drafting the respons... | 34 + 4**4 | 290 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((86 * 38) * 88) - 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $86 * 38 = 3268$
2. $3268 * 88 = 287584$
3. $287584 - 74 = 28751... | ((86 * 38) * 88) - 74 | 287510 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (34 + 69) + 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $34 + 69 = 103$
2. $103 + 3 = 106$
The answer is $106$
3. Drafting the r... | (34 + 69) + 3 | 106 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((20 + log(43, 3)) - 72) + 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(43, 3) = 3.423591884497679$
2. $cos(360) = 1$
3. $2... | ((20 + log(43, 3)) - 72) + 43 | -5.576408115502318 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(360) / 48) * 53) * 8. 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. $-2.4492935982947064e... | ((sin(360) / 48) * 53) * 8 | -2.163542678493657e-15 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(28, 5) / 15) / sqrt(25). 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. $sqrt(25) = 5$
3. $2... | (log(28, 5) / 15) / sqrt(25) | 0.027605534283586048 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (13 / 89) + 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $13 / 89 = 0.14606741573033707$
2. $0.14606741573033707 + 62 = 62.1460674... | (13 / 89) + 62 | 62.146067415730336 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 + 41) * 2**2) + 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $83 + 41 = 124$
3. $124 * 4 = 496$
4. $496 + 6... | ((83 + 41) * 2**2) + 63 | 559 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 41 + 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. $41 + 6.123233995736766e-17 = 41$
Th... | 41 + cot(90) | 41 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(45) - 28. 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. $0.7071067811865476 - 28 = -27.2928932188... | sin(45) - 28 | -27.292893218813454 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4 / 71) + 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4 / 71 = 0.056338028169014086$
2. $0.056338028169014086 + 33 = 33.0563380... | (4 / 71) + 33 | 33.056338028169016 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 65 + 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. $65 + 5.999999999999999 = 71$
The an... | 65 + cbrt(216) | 71 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 - log(32, 5)) + 58) - 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(32, 5) = 2.1533827903669653$
2. $sin(60) = 0.86602540... | ((37 - log(32, 5)) + 58) - 40 | 53.71264261341748 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (71 / 73) + 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $71 / 73 = 0.9726027397260274$
2. $0.9726027397260274 + 98 = 98.972602739... | (71 / 73) + 98 | 98.97260273972603 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(360) + cos(180)) / cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $cos(180) = -1$
3. $cos(0) = 1$
4. ... | (cos(360) + cos(180)) / cos(0) | 0 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (77 - 91) * log(9, 2). 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. $77 - 91 = -14$
3. $-14 * 3.... | (77 - 91) * log(9, 2) | -44.37895002019238 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((12 * 72) * cbrt(27)) - 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $12 * 72 = 864$
3. $864 * 3 = 2592$
4.... | ((12 * 72) * cbrt(27)) - 87 | 2505 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((71 * log(36, 10)) * 27) + csc(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(36, 10) = 1.556302500767287$
2. $csc(45) = 1.41... | ((71 * log(36, 10)) * 27) + csc(45) | 2984.846107533262 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (36 / sqrt(49)) * sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sqrt(9) = 3$
3. $36 / 7 = 5.1428571428571... | (36 / sqrt(49)) * sqrt(9) | 15.42857142857143 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (15 * sin(30)) - 85. 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. $15 * 0.49999999999999994 = 7.499... | (15 * sin(30)) - 85 | -77.5 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((45 - cos(270)) - 3**2) * 3**4. 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. $3**2 = 9$
3. ... | ((45 - cos(270)) - 3**2) * 3**4 | 2925 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 + sqrt(64)) * 98) * 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $85 + 8 = 93$
3. $93 * 98 = 9114$
4. $... | ((85 + sqrt(64)) * 98) * 63 | 45360378 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((28 + 20) / tan(135)) * 60. 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. $28 + 20 = 48$
3. $48 ... | ((28 + 20) / tan(135)) * 60 | -28799.999999999996 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(216) * 50. 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. $5.999999999999999 * 50 = 299.99999999... | cbrt(216) * 50 | 299.99999999999994 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (11 - sqrt(64)) / 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $11 - 8 = 3$
3. $3 / 21 = 0.14285714285714285$
... | (11 - sqrt(64)) / 21 | 0.14285714285714285 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (75 - 69) * 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $75 - 69 = 6$
2. $6 * 74 = 444$
The answer is $444$
3. Drafting the res... | (75 - 69) * 74 | 444 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(180) + 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(180) = 1.2246467991473532e-16$
2. $1.2246467991473532e-16 + 51 = 51$
... | sin(180) + 51 | 51 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (15 - 51) * 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $15 - 51 = -36$
2. $-36 * 69 = -2484$
The answer is $-2484$
3. Drafting... | (15 - 51) * 69 | -2484 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 100 + 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $100 + 13 = 113$
The answer is $113$
3. Drafting the response: "Ответ на ваш за... | 100 + 13 | 113 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 + sqrt(4)) / 56) + 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $22 + 2 = 24$
3. $24 / 56 = 0.428571428571... | ((22 + sqrt(4)) / 56) + 68 | 68.42857142857143 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(90) - 49) + tan(45). 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. $tan(45) = 0.9999999999999... | (cot(90) - 49) + tan(45) | -48 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(9) * tan(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $tan(180) = -1.2246467991473532e-16$
3. $3 * -1.22... | sqrt(9) * tan(180) | -3.6739403974420594e-16 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(27) / 57) + sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $sin(30) = 0.49999999999999994$
3. $3 / 57... | (cbrt(27) / 57) + sin(30) | 0.5526315789473684 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6 + sqrt(49)) - log(37, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $log(37, 3) = 3.2867991282182727$
3. $6 ... | (6 + sqrt(49)) - log(37, 3) | 9.713200871781726 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 22 * 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $22 * 16 = 352$
The answer is $352$
3. Drafting the response: "Ответ на ваш запр... | 22 * 16 | 352 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((81 * 47) - sqrt(4)) * 6**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. $6**4 = 1296$
3. $81 * 47 = 3807$
4. $... | ((81 * 47) - sqrt(4)) * 6**4 | 4931315 | power | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 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. $46 + -1.8369701987210297e-16 = 46... | 46 + cos(270) | 46 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((78 - 15) + 100) + 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. $78 - 15 = 63$
3. $63 + 100 = 163$
... | ((78 - 15) + 100) + sqrt(100) | 270 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 54 * cos(45). 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. $54 * 0.7071067811865476 = 38.18376618407... | 54 * cos(45) | 38.18376618407357 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(270) * 38) - csc(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $csc(60) = 1.1547005383792517$
3. $-1 * 3... | (csc(270) * 38) - csc(60) | -39.15470053837925 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 38 + sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $38 + 5 = 43$
The answer is $43$
3. Drafting the respo... | 38 + sqrt(25) | 43 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 45 / 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. $45 / 0.9999999999999997 = 45.000000000... | 45 / tan(225) | 45.000000000000014 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((30 / 80) + cos(30)) / 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. $cos(30) = 0.866025403... | ((30 / 80) + cos(30)) / cos(30) | 1.4330127018922194 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) + tan(60)) + 26) + 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $tan(60) = 1.7320508075688767$
3. $... | ((sqrt(16) + tan(60)) + 26) + 69 | 100.73205080756887 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((74 * sin(45)) - 30) / 79. 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. $74 * 0.7071067811865476 = ... | ((74 * sin(45)) - 30) / 79 | 0.2826063519975256 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(90) * sqrt(81)) * 30. 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. $sqrt(81) = 9$
3. $6.12... | (cos(90) * sqrt(81)) * 30 | 1.653273178848927e-14 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((99 + sec(180)) * cos(360)) + 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $cos(360) = 1$
3. $99 + -1 = 98$
... | ((99 + sec(180)) * cos(360)) + 9 | 107 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4 * 89) - cos(45). 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. $4 * 89 = 356$
3. $356 - 0.707106... | (4 * 89) - cos(45) | 355.29289321881345 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(30) * 74) + 12) - sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(30) = 0.8660254037844387$
2. $sin(90) = 1$
3. $0.... | ((cos(30) * 74) + 12) - sin(90) | 75.08587988004847 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 51 * 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. $51 * 0.8660254037844387 = 44.16729559300... | 51 * cos(30) | 44.16729559300637 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(45) * sin(360). 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. $sin(360) = -2.4492935982947064e-16... | cos(45) * sin(360) | -1.7319121124709868e-16 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) * log(15, 5)) + cos(0)) + sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(180) = 1.2246467991473532e-16$
2. $log... | ((sin(180) * log(15, 5)) + cos(0)) + sin(30) | -1.4999999999999998 | mixed | 4 | 9 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 / 14) * log(3, 10)) * 56. 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. $68 / 14 = 4.8571428... | ((68 / 14) * log(3, 10)) * 56 | 129.77698128374817 | log | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (27 + 85) - 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. $27 + 85 = 112$
3. $112 - 5.9... | (27 + 85) - cbrt(216) | 106 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(35, 2) - sin(45)) * 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(35, 2) = 5.129283016944966$
2. $sin(45) = 0.70710678118... | (log(35, 2) - sin(45)) * 48 | 212.2644593164041 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(23, 5) * 56) * cbrt(216). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(23, 5) = 1.9481920934663797$
2. $cbrt(216) = 5.999999... | (log(23, 5) * 56) * cbrt(216) | 654.5925434047034 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 / tan(30)) - 24) * 84. 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. $37 / 0.5773502691896257 = ... | ((37 / tan(30)) - 24) * 84 | 3367.2139099240712 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((59 - 77) / 72) + 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. $59 - 77 = -18$
3. $-1... | ((59 - 77) / 72) + sec(240) | -2.2499999999999982 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (37 * cbrt(216)) + 3**4. 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. $3**4 = 81$
3. $37 * 5.9999... | (37 * cbrt(216)) + 3**4 | 303 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 39 / 90. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $39 / 90 = 0.43333333333333335$
The answer is $0.43333333333333335$
3. Drafting ... | 39 / 90 | 0.43333333333333335 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(9) - 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $3 - 96 = -93$
The answer is $-93$
3. Drafting the respo... | sqrt(9) - 96 | -93 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 + sin(30)) / 91) * log(7, 2). 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. $log(7, 2) = 2.8073... | ((23 + sin(30)) / 91) * log(7, 2) | 0.72497627108081 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 + 73) / 12) / sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $84 + 73 = 157$
3. $157 / 12 = 13.083333... | ((84 + 73) / 12) / sqrt(25) | 2.6166666666666667 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(45) * 21. 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. $0.7071067811865476 * 21 = 14.84924240491... | cos(45) * 21 | 14.849242404917499 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((39 / 96) + tan(0)) / sec(120). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $sec(120) = -2.000000000000001$
3. $39... | ((39 / 96) + tan(0)) / sec(120) | -0.20312499999999992 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(60) - sin(0)) / 5) + cos(180). 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. $sin(0) = 0$
3. ... | ((cos(60) - sin(0)) / 5) + cos(180) | -0.9 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (82 * sqrt(9)) - 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $82 * 3 = 246$
3. $246 - 36 = 210$
The answer i... | (82 * sqrt(9)) - 36 | 210 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((93 + 54) * cbrt(8)) - 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $93 + 54 = 147$
3. $147 * 2 = 294$
4. $2... | ((93 + 54) * cbrt(8)) - 40 | 17272 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 / 26) - log(18, 5)) - 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(18, 5) = 1.7958889470453636$
2. $tan(135) = -1.000000... | ((97 / 26) - log(18, 5)) - 96 | -93.06511971627613 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(24, 5) + tan(180)) + cbrt(125)) / cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(24, 5) = 1.9746358687061647$
2. $t... | ((log(24, 5) + tan(180)) + cbrt(125)) / cbrt(27) | 130.19320288251507 | mixed | 2 | 8 |
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