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: ((7 * 10) + cos(270)) * 4**2. 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. $4**2 = 16$
3. $7... | ((7 * 10) + cos(270)) * 4**2 | 30.27027027027027 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3**4 / 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $81 / 35 = 2.3142857142857145$
The answer is $2.3142857142857... | 3**4 / 35 | 2.3142857142857145 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((56 * csc(210)) - log(26, 10)) / cot(135). 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. $log(26, ... | ((56 * csc(210)) - log(26, 10)) / cot(135) | 4.536598933918833 | mixed | 1 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 41 + 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $41 + 34 = 75$
The answer is $75$
3. Drafting the response: "Ответ на ваш запрос... | 41 + 34 | 75 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((31 / 89) + sqrt(81)) / cot(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $cot(30) = 1.7320508075688774$
3. $... | ((31 / 89) + sqrt(81)) / cot(30) | 5.397251954671558 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(9, 3) / 45) - 77) / 82. 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. $2 / 45 = 0.044444444444444446$
3. $0.... | ((log(9, 3) / 45) - 77) / 82 | -0.9384823848238482 | log | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(120) - 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(120) = -2.000000000000001$
2. $-2.000000000000001 - 1 = -3.00000000000... | sec(120) - 1 | -3.000000000000001 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((74 / 80) + 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. $sin(60) = 0.8660254037... | ((74 / 80) + 91) - log(9, 2) | 102.48553288472542 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) - 2) - 5) + cos(180). 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. $cos(180) = -1$
3.... | ((cos(90) - 2) - 5) + cos(180) | -8 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 14 + 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $14 + 19 = 33$
The answer is $33$
3. Drafting the response: "Ответ на ваш запрос... | 14 + 19 | 33 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(60) - 53) + sqrt(81)) - 14. 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. $... | ((cos(60) - 53) + sqrt(81)) - 14 | -57.5 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 13 * 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. $13 * 0.8660254037844387 = 11.25833024919... | 13 * cos(30) | 11.258330249197703 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(49) / 83) / cbrt(216). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $cbrt(216) = 5.999999999999999$
3. $7 / ... | (sqrt(49) / 83) / cbrt(216) | 0.014056224899598395 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((100 + 48) - sin(30)) + 44. 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. $100 + 48 = 148$
3. $14... | ((100 + 48) - sin(30)) + 44 | 191.5 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((27 + 21) * tan(225)) * log(40, 3). 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. $log(40, 3) = 3.3... | ((27 + 21) * tan(225)) * log(40, 3) | 161.17261350875032 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((11 - 53) * 95) - 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $11 - 53 = -42$
2. $-42 * 95 = -3990$
3. $-3990 - 35 = -4025$
... | ((11 - 53) * 95) - 35 | -4025 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(120) * sin(45)) * 2) - 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(120) = -2.000000000000001$
2. $sin(45) = 0.70710678... | ((sec(120) * sin(45)) * 2) - 13 | -15.828427124746192 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((35 - 59) + 98) - 4**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $log(13, 2) = 3.700439718141092$
3. $35 - 59 = ... | ((35 - 59) + 98) - 4**3 | 2.7023815442731975 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2**2 / log(41, 2)) - 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $log(41, 2) = 5.357552004618084$
3. $4 / 5.3575... | (2**2 / log(41, 2)) - 57 | -56.253390355044225 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(30) - 71) + log(16, 2)) / 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(30) = 0.8660254037844387$
2. $log(16, 2) = 4$
... | ((cos(30) - 71) + log(16, 2)) / 63 | -0.04974562851135822 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 / tan(60)) + 20) * log(34, 2). 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. $log(34, 2) = 5.087... | ((96 / tan(60)) + 20) * log(34, 2) | 23.98281679689154 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(30) - cos(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. $cos(30) = 0.8660254037844387$
3. ... | cot(30) - cos(30) | 0.8660254037844387 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (61 / sqrt(9)) - 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $61 / 3 = 20.333333333333332$
3. $20.333333333333... | (61 / sqrt(9)) - 45 | -24.666666666666668 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((38 / 23) + 23) + 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $38 / 23 = 1.6521739130434783$
2. $1.6521739130434783 + 23 = 24.65... | ((38 / 23) + 23) + 32 | 0.5901268115942029 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(30) * csc(150)) - cos(270). 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. $csc(150) = 2.00000000... | (tan(30) * csc(150)) - cos(270) | 1.154700538379252 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) - sqrt(25)) - 94) + 2. 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. $0... | ((sin(60) - sqrt(25)) - 94) + 2 | -96.13397459621557 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 100 - 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $100 - 52 = 48$
The answer is $48$
3. Drafting the response: "Ответ на ваш запр... | 100 - 52 | 48 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 70 * 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $70 * 41 = 2870$
The answer is $2870$
3. Drafting the response: "Ответ на ваш за... | 70 * 41 | 2870 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) - tan(30)) - 96) + csc(45). 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. $tan(30) = ... | ((sin(180) - tan(30)) - 96) + csc(45) | -95.16313670681653 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(23, 2) * 17) / 42) - 26. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(23, 2) = 4.523561956057013$
2. $4.523561956057013 * 1... | ((log(23, 2) * 17) / 42) - 26 | -24.169034446357877 | log | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(16) * 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $4 * 9 = 36$
The answer is $36$
3. Drafting the respons... | sqrt(16) * 9 | 36 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(210) * 93) - 49) * 97. 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 * 9... | ((csc(210) * 93) - 49) * 97 | -22794.999999999996 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(45) / cot(135)) - 30) * sqrt(9). 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. $cot(135) = -0.9... | ((sin(45) / cot(135)) - 30) * sqrt(9) | -92.12132034355963 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (82 / 87) * 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. $82 / 87 = 0.9425287356321839$
... | (82 / 87) * sin(30) | 0.4712643678160919 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((99 + 8) - 7) - 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. $sin(0) = 0$
3. $99 + 8 = 107$
4. $107 - 7... | ((99 + 8) - 7) - sqrt(4) | 98 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((98 + 72) + 72) - 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. $98 + 72 = 170$
3. $170 + 72 = 242$
4... | ((98 + 72) + 72) - cos(180) | 243 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 8 / 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $8 / 72 = 0.1111111111111111$
The answer is $0.1111111111111111$
3. Drafting the ... | 8 / 72 | 0.1111111111111111 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(2, 2) / 92) / 65) / 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(2, 2) = 1$
2. $1 / 92 = 0.010869565217391304$
3. $0.... | ((log(2, 2) / 92) / 65) / 74 | 2.2597848684805206e-06 | log | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 * 61) * sqrt(25)) / 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $37 * 61 = 2257$
3. $2257 * 5 = 11285$
... | ((37 * 61) * sqrt(25)) / 88 | 128.23863636363637 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((35 / 84) - 91) / 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $35 / 84 = 0.4166666666666667$
3. $0.416666666... | ((35 / 84) - 91) / 21 | -1.3134920634920633 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(125) / sin(270)) / 12. 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. $sin(270) = -1$
3. $4.9... | (cbrt(125) / sin(270)) / 12 | -0.4166666666666666 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(60) + 72) * 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(60) = 0.5000000000000001$
2. $0.5000000000000001 + 72 = 72.5$
... | (cos(60) + 72) * 16 | 1160 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 24 / 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. $24 / 5 = 4.8$
The answer is $4.8$
3. Drafting the res... | 24 / sqrt(25) | 4.8 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(3, 5) / 5**4) + 37) * 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(3, 5) = 0.6826061944859854$
2. $5**4 = 625$
3. $0.... | ((log(3, 5) / 5**4) + 37) * 89 | 3289.0972031220945 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(17, 3) / tan(315)) / 46) + log(48, 3). 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. $tan(31... | ((log(17, 3) / tan(315)) / 46) + log(48, 3) | -2.532344071000312 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 67 * sec(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(45) = 1.414213562373095$
2. $67 * 1.414213562373095 = 94.7523086789973... | 67 * sec(45) | 94.75230867899737 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 87 * 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $87 * 56 = 4872$
The answer is $4872$
3. Drafting the response: "Ответ на ваш за... | 87 * 56 | 4872 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((35 / 32) - 86) + 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $35 / 32 = 1.09375$
2. $1.09375 - 86 = -84.90625$
3. $-84.90625 ... | ((35 / 32) - 86) + 64 | -20.90625 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(60) / sqrt(16)) + 20) / 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(60) = 1.7320508075688767$
2. $sqrt(16) = 4$
3. $... | ((tan(60) / sqrt(16)) + 20) / 49 | -2.58299974077771 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4**3 + 3) * 63) + 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $64 + 3 = 67$
3. $67 * 63 = 4221$
4. $4221 + 3... | ((4**3 + 3) * 63) + 34 | 4255 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(135) * 9) + log(2, 3)) * cos(0). 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(2, 3) = 0... | ((tan(135) * 9) + log(2, 3)) * cos(0) | -75.3216322178569 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(60) + 28) * 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(60) = 0.577350269189626$
2. $0.577350269189626 + 28 = 28.577350... | (cot(60) + 28) * 98 | 2800.5803263805833 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((89 + tan(30)) + 14) + tan(30). 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(30) = 0.577350269... | ((89 + tan(30)) + 14) + tan(30) | 8748.994845223857 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((20 + 5) / 44) * sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $cos(90) = 6.123233995736766e-17$
3. $20 ... | ((20 + 5) / 44) * sqrt(64) | 2.7832881798803486e-16 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(360) - tan(45). 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. $tan(45) = 0.9999999999999999... | sin(360) - tan(45) | -1.0000000000000002 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(45) / 34. 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 / 34 = 0.020797258270... | cos(45) / 34 | 0.020797258270192576 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(0) - 40) + 17) / log(28, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $log(28, 10) = 1.447158031342219$
3... | ((sin(0) - 40) + 17) / log(28, 10) | -5.893219331870631 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (23 * 72) * 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. $23 * 72 = 1656$
3. $1656... | (23 * 72) * sin(360) | -4.0560301987760337e-13 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5**4 * 39) - sin(0)) + cot(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $sin(0) = 0$
3. $cot(225) = 1.000000... | ((5**4 * 39) - sin(0)) + cot(225) | 24376 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 - 28) / sqrt(25)) * 6**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $6**2 = 36$
3. $53 - 28 = 25$
4. $25... | ((53 - 28) / sqrt(25)) * 6**2 | 5040 | power | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (83 - 11) - log(38, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(38, 2) = 5.247927513443585$
2. $83 - 11 = 72$
3. $72 - 5.2... | (83 - 11) - log(38, 2) | 66.75207248655641 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(60) / log(9, 5). 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. $log(9, 5) = 1.3652123889719707$
... | tan(60) / log(9, 5) | 1.268704284813253 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(270) / 83. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $-1 / 83 = -0.012048192771084338$
The answer is $-0.0... | sin(270) / 83 | -0.012048192771084338 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (74 - 99) - 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $74 - 99 = -25$
2. $-25 - 69 = -94$
The answer is $-94$
3. Drafting the... | (74 - 99) - 69 | -94 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(27) * log(23, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $log(23, 10) = 1.3617278360175928$
3. $3 * 1.... | cbrt(27) * log(23, 10) | 4.085183508052778 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((64 * 18) + cbrt(125)) + 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. $cbrt(125) = 4.99... | ((64 * 18) + cbrt(125)) + cbrt(125) | -1162.0000000000002 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((57 * log(32, 5)) - 68) * 38. 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. $57 * 2.1533827903669... | ((57 * log(32, 5)) - 68) * 38 | 2029.227123934847 | log | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 * 39) - 2) / 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $21 * 39 = 819$
2. $819 - 2 = 817$
3. $817 / 8 = 102.125$
The an... | ((21 * 39) - 2) / 8 | 102.125 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) + 68) + 52) - 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $2 + 68 = 70$
3. $70 + 52 = 122$
4. $122... | ((cbrt(8) + 68) + 52) - 76 | 27 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 / 3) - 54) * 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $21 / 3 = 7$
2. $7 - 54 = -47$
3. $-47 * 22 = -1034$
The answer... | ((21 / 3) - 54) * 22 | -1034 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) + 70) * 51) + sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $sqrt(49) = 7$
3. $2 + 70 = 72$
4.... | ((cbrt(8) + 70) * 51) + sqrt(49) | 275925 | power | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(90) + 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(90) = 6.123233995736766e-17$
2. $6.123233995736766e-17 + 67 = 67$
Th... | cos(90) + 67 | 67 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (11 - 4**2) / log(47, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**2 = 16$
2. $log(47, 5) = 2.392231208153366$
3. $11 - 16 =... | (11 - 4**2) / log(47, 5) | -2.0900989766200935 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((88 * 7) / 82) - 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $88 * 7 = 616$
3. $616 / 82 = 7.51219512195121... | ((88 * 7) / 82) - 25 | -18.48780487804878 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 87 * 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $87 * 28 = 2436$
The answer is $2436$
3. Drafting the response: "Ответ на ваш за... | 87 * 28 | 2436 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(60) / 60) + sin(270)) / 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(60) = 0.5000000000000001$
2. $sin(270) = -1$
3. ... | ((cos(60) / 60) + sin(270)) / 98 | -0.010119047619047375 | trig | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 - sqrt(36)) + 27) * 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $97 - 6 = 91$
3. $91 + 27 = 118$
4. $1... | ((97 - sqrt(36)) + 27) * 42 | 4956 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (21 - 31) - 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $21 - 31 = -10$
2. $-10 - 21 = -31$
The answer is $-31$
3. Drafting the... | (21 - 31) - 21 | -31 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(45) / log(46, 10)) + 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(45) = 1.0000000000000002$
2. $log(46, 10) = 1.66275783... | (cot(45) / log(46, 10)) + 11 | 11.601410488614981 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 47 * cos(90). 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. $47 * 6.123233995736766e-17 = 2.877919... | 47 * cos(90) | 2.87791997799628e-15 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(45) - 11. 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 - 11 = -10.2928932188... | sin(45) - 11 | -10.292893218813452 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(360) / 98) - tan(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $tan(360) = -2.4492935982947064e-16$
3. $... | (cos(360) / 98) - tan(360) | 0.010204081632653305 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((26 - sqrt(100)) + 32) - 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $26 - 10 = 16$
3. $16 + 32 = 48$
4.... | ((26 - sqrt(100)) + 32) - 36 | 12 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 * tan(0)) + cbrt(8)) - 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $cbrt(8) = 2$
3. $37 * 0 = 0$
4. $0 +... | ((37 * tan(0)) + cbrt(8)) - 63 | -1.525 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(12, 10) + 93) - cot(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(12, 10) = 1.0791812460476247$
2. $cot(225) = 1.000000... | (log(12, 10) + 93) - cot(225) | 93.07918124604763 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(270) - 91) - 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $-1 - 91 = -92$
3. $-92 - 27 = -119$
The ans... | (sin(270) - 91) - 27 | -119 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 / sqrt(36)) / 59) * 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $76 / 6 = 12.666666666666666$
3. $12.666... | ((76 / sqrt(36)) / 59) * 84 | 18.033898305084744 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(30) + 80) - cos(270)) - cos(0). 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(270) = -1.83... | ((cos(30) + 80) - cos(270)) - cos(0) | 79.86602540378443 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(360) * 34) / 62) / sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $sqrt(9) = 3$
3. $cbrt(27) = 3$
4... | ((cos(360) * 34) / 62) / sqrt(9) | 3.182795698924731 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 95 + tan(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $95 + 0 = 95$
The answer is $95$
3. Drafting the response:... | 95 + tan(0) | 95 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (77 / log(2, 2)) * tan(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(2, 2) = 1$
2. $tan(315) = -1.0000000000000004$
3. $77... | (77 / log(2, 2)) * tan(315) | -77.00000000000003 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(7, 10) - 67) / cbrt(27)) + 30. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(7, 10) = 0.8450980400142567$
2. $cbrt(27) = 3$
... | ((log(7, 10) - 67) / cbrt(27)) + 30 | 10.948366013338084 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(90) / 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $1 / 94 = 0.010638297872340425$
The answer is $0.0106382... | sin(90) / 94 | 0.010638297872340425 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(90) - 53. 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. $6.123233995736766e-17 - 53 = -53$
T... | cot(90) - 53 | -53 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) - sqrt(25)) + 31) * sec(120). 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. $sqrt(25)... | ((sin(180) - sqrt(25)) + 31) * sec(120) | -52.00000000000002 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((28 - 44) / log(37, 3)) - 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(37, 3) = 3.2867991282182727$
2. $28 - 44 = -16$
3. $... | ((28 - 44) / log(37, 3)) - 8 | -44.86795796634928 | log | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(180) + sec(120). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $sec(120) = -2.000000000000001$
3. $-1 + -2.000... | cos(180) + sec(120) | -3.000000000000001 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(180) * cos(30)) + 57) / 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $cos(30) = 0.8660254037844387$
3. ... | ((cos(180) * cos(30)) + 57) / 31 | 1.8107733740714695 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(315) - cbrt(27). 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. $cbrt(27) = 3$
3. $-1.00000000... | tan(315) - cbrt(27) | -4 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(100) + sqrt(49)) + cos(30)) - log(35, 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. $sqrt(49) = 7$
3.... | ((sqrt(100) + sqrt(49)) + cos(30)) - log(35, 10) | 16.321957359434162 | mixed | 3 | 7 |
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