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: (8 * 75) - 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. $8 * 75 = 600$
3. $600 - 8 = 592$
The answer i... | (8 * 75) - sqrt(64) | 592 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(60) * 60) + 54) - sin(45). 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. $sin(45) = 0.7071067811... | ((cot(60) * 60) + 54) - sin(45) | 87.933909370191 | trig | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((35 - sqrt(9)) * 65) - 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $35 - 3 = 32$
3. $32 * 65 = 2080$
4. $20... | ((35 - sqrt(9)) * 65) - 52 | 2028 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((7 + 89) / 32) / log(33, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(33, 10) = 1.5185139398778873$
2. $7 + 89 = 96$
3. $... | ((7 + 89) / 32) / log(33, 10) | 1.9756157129787348 | log | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(270) / 86) / sqrt(9)) - 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(270) = 1.83697019872103e-16$
2. $sqrt(9) = 3$
3.... | ((cot(270) / 86) / sqrt(9)) - 93 | -18.6 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((54 - 57) - 78) * 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $54 - 57 = -3$
2. $-3 - 78 = -81$
3. $-81 * 32 = -2592$
The an... | ((54 - 57) - 78) * 32 | -2592 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 / 55) / 13) + 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $83 / 55 = 1.509090909090909$
2. $1.509090909090909 / 13 = 0.11608... | ((83 / 55) / 13) + 32 | 32.116083916083916 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((91 - 21) + 66) / 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $91 - 21 = 70$
2. $70 + 66 = 136$
3. $136 / 55 = 2.4727272727272... | ((91 - 21) + 66) / 55 | 64.47272727272727 | arithmetic | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) + log(11, 2)) * 37) - 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $log(11, 2) = 3.4594316186372978$
... | ((sqrt(4) + log(11, 2)) * 37) - 77 | 124.99896988958002 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(50, 5) * sqrt(49)) + log(5, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(50, 5) = 2.4306765580733933$
2. $sqrt(49) = 7$
... | (log(50, 5) * sqrt(49)) + log(5, 5) | 18.014735906513753 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((42 - 49) / 42) + 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $42 - 49 = -7$
2. $-7 / 42 = -0.16666666666666666$
3. $-0.16666... | ((42 - 49) / 42) + 100 | 99.83333333333333 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(20, 5) * 93) / cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(20, 5) = 1.8613531161467862$
2. $cos(0) = 1$
3. $1.861... | (log(20, 5) * 93) / cos(0) | 173.10583980165111 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (72 - sqrt(16)) * tan(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $tan(180) = -1.2246467991473532e-16$
3. $... | (72 - sqrt(16)) * tan(180) | -8.327598234202001e-15 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5**4 + 67) / 64) / 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $625 + 67 = 692$
3. $692 / 64 = 10.8125$
4. ... | ((5**4 + 67) / 64) / 93 | 11.04502688172043 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(216) * 100) + 3) * 88. 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. $sqrt(100) = 10$
3. $5... | ((cbrt(216) * 100) + 3) * 88 | 5306.4 | power | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 48 - 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $48 - 34 = 14$
The answer is $14$
3. Drafting the response: "Ответ на ваш запрос... | 48 - 34 | 14 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 99 - 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $99 - 5 = 94$
The answer is $94$
3. Drafting the response: "Ответ на ваш запрос в... | 99 - 5 | 94 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 + sin(270)) - tan(135)) + cos(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $tan(135) = -1.000000000000000... | ((73 + sin(270)) - tan(135)) + cos(30) | 73.86602540378443 | trig | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(64) - cot(315)) + log(27, 10). 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. $cot(315) = -0.99... | (cbrt(64) - cot(315)) + log(27, 10) | 6.431363764158986 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(13, 5) - 5) + sec(240)) - sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(13, 5) = 1.5936926411670824$
2. $sec(240)... | ((log(13, 5) - 5) + sec(240)) - sqrt(100) | -15.406307358832915 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 57 * log(44, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(44, 10) = 1.6434526764861872$
2. $57 * 1.6434526764861872 = 93.676... | 57 * log(44, 10) | 93.67680255971267 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(81) * 6**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $6**4 = 1296$
3. $9 * 1296 = 11664$
The answer is ... | sqrt(81) * 6**4 | 11664 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 + 24) * csc(30)) * log(46, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(30) = 2.0000000000000004$
2. $log(46, 5) = 2.378... | ((85 + 24) * csc(30)) * log(46, 5) | 518.5933660356707 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(180) * 95) - sqrt(36)) / 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $sqrt(36) = 6$
3. $-1 * 95 = -95$... | ((sec(180) * 95) - sqrt(36)) / 75 | -1.3466666666666667 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2 * sec(45)) / 4**2) + 70. 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. $4**2 = 16$
3. $2 * 1.414... | ((2 * sec(45)) / 4**2) + 70 | 70.17677669529664 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (75 + sqrt(36)) / 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $75 + 6 = 81$
3. $81 / 15 = 5.4$
The answer i... | (75 + sqrt(36)) / 15 | 5.4 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(240) + 47. 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. $-1.9999999999999982 + 47 = 45$
The ... | sec(240) + 47 | 45 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((51 + 6**2) + 94) / 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $51 + 36 = 87$
3. $87 + 94 = 181$
4. $181 / 7... | ((51 + 6**2) + 94) / 75 | 2.4133333333333336 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(10, 10) - 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(10, 10) = 1$
2. $1 - 20 = -19$
The answer is $-19$
3. Drafting t... | log(10, 10) - 20 | -19 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) * 85) + 19) / tan(45). 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. $tan(45) = 0.99... | ((cos(270) * 85) + 19) / tan(45) | 46.999999999999986 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 / 38) + cos(360)) - sin(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $sin(45) = 0.7071067811865476$
3. $... | ((34 / 38) + cos(360)) - sin(45) | 1.1876300609187158 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (30 / cos(180)) - 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $30 / -1 = -30$
3. $-30 - 67 = -97$
The answ... | (30 / cos(180)) - 67 | -97 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(60) + 98) / 97. 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 + 98 = 98.577350... | (cot(60) + 98) / 97 | 1.0162613429813363 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 - 58) + 29) / 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $95 - 58 = 37$
2. $37 + 29 = 66$
3. $66 / 66 = 1$
The answer i... | ((95 - 58) + 29) / 66 | 1 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 5 + log(22, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(22, 5) = 1.9205726604783713$
2. $5 + 1.9205726604783713 = 6.92057266... | 5 + log(22, 5) | 6.9205726604783715 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((65 * 95) / sqrt(16)) + 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $65 * 95 = 6175$
3. $6175 / 4 = 1543.75$... | ((65 * 95) / sqrt(16)) + 64 | 1607.75 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 51 - 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $51 - 43 = 8$
The answer is $8$
3. Drafting the response: "Ответ на ваш запрос в... | 51 - 43 | 8 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(270) + 80) * 61) * cot(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(270) = 1.83697019872103e-16$
2. $cot(315) = -0.99... | ((cot(270) + 80) * 61) * cot(315) | -4879.999999999998 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(90) - log(27, 5). 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. $log(27, 5) = 2.04781858345795... | cot(90) - log(27, 5) | -2.047818583457956 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (64 / sqrt(25)) * cot(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $cot(45) = 1.0000000000000002$
3. $64 / 5 ... | (64 / sqrt(25)) * cot(45) | 12.800000000000004 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(30) / cos(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(30) = 2.0000000000000004$
2. $cos(30) = 0.8660254037844387$
3. ... | csc(30) / cos(30) | 2.3094010767585034 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(60) / 21) + cos(360). 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. $cos(360) = 1$
3. $0.50000... | (cos(60) / 21) + cos(360) | 1.0238095238095237 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) + 43) - tan(360)) + tan(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $tan(360) = -2.4492935982947064... | ((sqrt(49) + 43) - tan(360)) + tan(60) | 50.732050807568875 | mixed | 1 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 95 - 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $95 - 45 = 50$
The answer is $50$
3. Drafting the response: "Ответ на ваш запрос... | 95 - 45 | 50 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) - 52) + 71) + 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $sin(90) = 1$
3. $5 - 52 = -47$
4. $-4... | ((sqrt(25) - 52) + 71) + 10 | 33 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 * 4**4) + 85) + sec(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $sec(0) = 1$
3. $34 * 256 = 8704$
4. $87... | ((34 * 4**4) + 85) + sec(0) | 8803 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(270) / 44) / 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(270) = -1.8369701987210297e-16$
2. $-1.8369701987210297e-16 / ... | (cos(270) / 44) / 87 | -4.798772723931634e-20 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (88 / 11) * 3**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $88 / 11 = 8$
3. $8 * 81 = 648$
The answer is $648$
... | (88 / 11) * 3**4 | 648 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((98 - 44) + 61) / cot(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(135) = -0.9999999999999998$
2. $98 - 44 = 54$
3. $54 ... | ((98 - 44) + 61) / cot(135) | -115.00000000000003 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(25) * 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $5 * 52 = 260$
The answer is $260$
3. Drafting the res... | sqrt(25) * 52 | 260 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((65 + log(44, 5)) * sec(0)) / log(34, 2). 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. $sec(0) =... | ((65 + log(44, 5)) * sec(0)) / log(34, 2) | 13.238671479318153 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (14 + 88) - 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $14 + 88 = 102$
2. $102 - 28 = 74$
The answer is $74$
3. Drafting the r... | (14 + 88) - 28 | 74 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(100) + 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $10 + 81 = 91$
The answer is $91$
3. Drafting the r... | sqrt(100) + 81 | 91 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 - 5**4) / cos(45)) / 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $cos(45) = 0.7071067811865476$
3. $22 - 6... | ((22 - 5**4) / cos(45)) / 71 | -44.01085602973206 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(35, 2) * sqrt(100)) + 7) - 5. 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. $sqrt(100) = 10$
... | ((log(35, 2) * sqrt(100)) + 7) - 5 | 53.292830169449665 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(60) + 86) - tan(315). 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. $tan(315) = -1.0000000000000... | (tan(60) + 86) - tan(315) | 88.73205080756888 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (27 + 79) * tan(45). 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. $27 + 79 = 106$
3. $106 * 0.9999... | (27 + 79) * tan(45) | 105.99999999999999 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 * tan(0)) - log(25, 3)) - 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $log(25, 3) = 2.9299470414358537$
3... | ((85 * tan(0)) - log(25, 3)) - 100 | -102.92994704143585 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(25) - cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $cbrt(27) = 3$
3. $5 - 3 = 2$
The answer is $2... | sqrt(25) - cbrt(27) | 2 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((82 + 8) / 76) * 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $82 + 8 = 90$
2. $90 / 76 = 1.1842105263157894$
3. $1.184210526315... | ((82 + 8) / 76) * 5 | 21.921052631578945 | arithmetic | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (36 + 22) * log(49, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(49, 3) = 3.5424874983228443$
2. $36 + 22 = 58$
3. $58 * 3.... | (36 + 22) * log(49, 3) | 205.46427490272498 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (68 + 8) + log(24, 5). 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. $68 + 8 = 76$
3. $76 + 1.97... | (68 + 8) + log(24, 5) | 77.97463586870616 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((58 / 47) / 62) + 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. $58 / 47 = 1.23404255319148... | ((58 / 47) / 62) + tan(30) | -6.402745818662124 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 63 - 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $63 - 55 = 8$
The answer is $8$
3. Drafting the response: "Ответ на ваш запрос в... | 63 - 55 | 8 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((26 * 21) + 60) / 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $26 * 21 = 546$
2. $546 + 60 = 606$
3. $606 / 84 = 7.21428571428... | ((26 * 21) + 60) / 84 | 7.214285714285714 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(60) * 71) + 30) - 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(60) = 1.1547005383792517$
2. $1.1547005383792517 * 71 = ... | ((csc(60) * 71) + 30) - 46 | 65.98373822492687 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(81) - log(21, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $log(21, 2) = 4.392317422778761$
3. $9 - 4.392... | sqrt(81) - log(21, 2) | 4.607682577221239 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 4**2 + 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**2 = 16$
2. $16 + 48 = 64$
The answer is $64$
3. Drafting the response: "... | 4**2 + 48 | 64 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(30) * sin(60)) / sqrt(9)) * 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(60) = 0.8660... | ((cos(30) * sin(60)) / sqrt(9)) * 90 | 21.345299461620748 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(0) + 42) + 54) + sec(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $sec(180) = -1$
3. $sqrt(81) = 9$
4.... | ((tan(0) + 42) + 54) + sec(180) | 86 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 53 / log(44, 5). 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. $53 / 2.3512492185517644 = 22.54120... | 53 / log(44, 5) | 22.541208980239443 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3**3 * sec(120)) / 26. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $sec(120) = -2.000000000000001$
3. $27 * -2.0000... | (3**3 * sec(120)) / 26 | -2.0769230769230775 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6 / sqrt(16)) - 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $6 / 4 = 1.5$
3. $1.5 - 100 = -98.5$
The answ... | (6 / sqrt(16)) - 100 | -98.5 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(17, 2) / 3**2) + 8) + sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(17, 2) = 4.08746284125034$
2. $3**2 = 9$
3. ... | ((log(17, 2) / 3**2) + 8) + sin(360) | 8.454162537916705 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 / cot(60)) / 73) - 39. 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. $69 / 0.577350269189626 = 11... | ((69 / cot(60)) / 73) - 39 | -0.37740258672723775 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(16, 5) + 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(16, 5) = 1.7227062322935722$
2. $1.7227062322935722 + 94 = 95.72270... | log(16, 5) + 94 | 95.72270623229358 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(30) / sec(240)) + 55. 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. $sec(240) = -1.999999999999... | (sin(30) / sec(240)) + 55 | 54.75 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 26 + 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $26 + 54 = 80$
The answer is $80$
3. Drafting the response: "Ответ на ваш запрос... | 26 + 54 | 80 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(33, 3) * cot(60)) * 56) / 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(33, 3) = 3.1826583386441376$
2. $cot(60) = 0.577... | ((log(33, 3) * cot(60)) * 56) / 65 | 1.5830843741395206 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (32 / 14) - 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $32 / 14 = 2.2857142857142856$
2. $2.2857142857142856 - 47 = -44.71428571... | (32 / 14) - 47 | -44.714285714285715 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 * 100) * 100) + 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $34 * 100 = 3400$
3. $3400 * 100 = 340000$
... | ((34 * 100) * 100) + 22 | 340022 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(150) - 69. 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. $2.0000000000000004 - 69 = -67$
The a... | csc(150) - 69 | -67 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5**4 - 34) + sin(30)) * log(21, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $sin(30) = 0.49999999999999994$
3... | ((5**4 - 34) + sin(30)) * log(21, 2) | 2598.055755573637 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (88 - cos(360)) - 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $88 - 1 = 87$
3. $87 - 12 = 75$
The answer is... | (88 - cos(360)) - 12 | 75 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 * cos(180)) - 75) + 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $sin(0) = 0$
3. $37 * -1 = -37$
4. $-... | ((37 * cos(180)) - 75) + 59 | -53 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (20 + 59) - 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $20 + 59 = 79$
2. $79 - 38 = 41$
The answer is $41$
3. Drafting the res... | (20 + 59) - 38 | 41 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 * 35) - 36) + 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. $85 * 35 = 2975$
3. $2... | ((85 * 35) - 36) + cbrt(125) | 2944 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((61 + cos(180)) + 44) - 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $61 + -1 = 60$
3. $60 + 44 = 104$
4. ... | ((61 + cos(180)) + 44) - 71 | 3 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (19 - cos(45)) - 89. 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. $19 - 0.7071067811865476 = 18.2928... | (19 - cos(45)) - 89 | -70.70710678118655 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 * sin(270)) - 41) - 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $96 * -1 = -96$
3. $-96 - 41 = -137$
... | ((96 * sin(270)) - 41) - 79 | -216 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(180) + 66) + 86) - 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(180) = -1.2246467991473532e-16$
2. $-1.224646799147353... | ((tan(180) + 66) + 86) - 100 | 52 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 17 / 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $17 / 15 = 1.1333333333333333$
The answer is $1.1333333333333333$
3. Drafting th... | 17 / 15 | 1.1333333333333333 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 69 - sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $69 - 4 = 65$
The answer is $65$
3. Drafting the respo... | 69 - sqrt(16) | 65 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(45) + sin(30)) * cos(270). 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(30) = 0.4999999999... | (cos(45) + sin(30)) * cos(270) | -2.2174191837137546e-16 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((45 - cbrt(8)) / csc(30)) - 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $csc(30) = 2.0000000000000004$
3. $45... | ((45 - cbrt(8)) / csc(30)) - 16 | 5.4999999999999964 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 26 * 83. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $26 * 83 = 2158$
The answer is $2158$
3. Drafting the response: "Ответ на ваш за... | 26 * 83 | 2158 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4 - 4) + 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4 - 4 = 0$
2. $0 + 61 = 61$
The answer is $61$
3. Drafting the response:... | (4 - 4) + 61 | 61 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (48 / 24) + 2**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $48 / 24 = 2$
3. $2 + 4 = 6$
The answer is $6$
3. Dra... | (48 / 24) + 2**2 | 6 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 14 + 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $14 + 4 = 18$
The answer is $18$
3. Drafting the response: "Ответ на ваш запрос в... | 14 + 4 | 18 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((38 + 54) + 97) - 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $38 + 54 = 92$
3. $92 + 97 = 189$
4. $189 - 7... | ((38 + 54) + 97) - 72 | 58.5 | power | 5 | 5 |
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