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: (log(39, 10) - csc(150)) + sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(39, 10) = 1.591064607026499$
2. $csc(150) = 2.0... | (log(39, 10) - csc(150)) + sqrt(16) | 3.5910646070264987 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3**3 * 36) / tan(225)) * 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $tan(225) = 0.9999999999999997$
3. $27 * ... | ((3**3 * 36) / tan(225)) * 45 | 43740.000000000015 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (1 - 77) / sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $1 - 77 = -76$
3. $-76 / 6 = -12.666666666666666... | (1 - 77) / sqrt(36) | -12.666666666666666 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5**3 + log(24, 2)) / 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $log(24, 2) = 4.584962500721157$
3. $125 + 4.5... | (5**3 + log(24, 2)) / 5 | 25.916992500144232 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((43 + sec(360)) - 83) - 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $43 + 1 = 44$
3. $44 - 83 = -39$
4. $-... | ((43 + sec(360)) - 83) - 80 | -175 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 + 88) * 63) + 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. $96 + 88 = 184$
3. $18... | ((96 + 88) * 63) + sec(240) | 11590 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 76 / sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $76 / 7 = 10.857142857142858$
The answer is $10.857142... | 76 / sqrt(49) | 10.857142857142858 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 - sin(270)) + sec(45)) + log(11, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $sec(45) = 1.414213562373095... | ((69 - sin(270)) + sec(45)) + log(11, 5) | 72.90410966477808 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((91 + 26) + 96) * 95. 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. $91 + 26 = 117$
3. $117 + 96 =... | ((91 + 26) + 96) * 95 | 35048.04809115623 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 - sec(180)) - 50) + 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $68 - -1 = 69$
3. $69 - 50 = 19$
4. $... | ((68 - sec(180)) - 50) + 49 | 70 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3**3 + 26) * cos(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $cos(30) = 0.8660254037844387$
3. $27 + 26 = 53$
... | (3**3 + 26) * cos(30) | 45.899346400575254 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 - log(4, 5)) + 30) - log(14, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(4, 5) = 0.8613531161467861$
2. $log(14, 10) =... | ((23 - log(4, 5)) + 30) - log(14, 10) | 51.992518848174974 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(64) / 47) * 90. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $8 / 47 = 0.1702127659574468$
3. $0.17021276595... | (sqrt(64) / 47) * 90 | 15.319148936170212 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (74 + tan(45)) - 68. 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. $74 + 0.9999999999999999 = 75$
3... | (74 + tan(45)) - 68 | 7 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(0) + 34) - 82) / 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $sec(60) = 1.9999999999999996$
3. $1 + 34 = ... | ((cos(0) + 34) - 82) / 67 | -0.3507462686567165 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) * sin(45)) * log(19, 3)) * 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sin(45) = 0.7071067811865476... | ((sqrt(16) * sin(45)) * log(19, 3)) * 81 | 614.027918766865 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(30) * 8) - 64. 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. $1.7320508075688774 * 8 = 13.856406... | (cot(30) * 8) - 64 | -50.14359353944898 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(22, 2) * tan(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(22, 2) = 4.459431618637297$
2. $tan(0) = 0$
3. $4.45943161863... | log(22, 2) * tan(0) | 0 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4 * 54) * sin(180)) * 84. 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. $4 * 54 = 216$
3. $2... | ((4 * 54) * sin(180)) * 84 | 2.2219991523729578e-12 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (44 / 56) + 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $44 / 56 = 0.7857142857142857$
2. $0.7857142857142857 + 63 = 63.785714285... | (44 / 56) + 63 | 63.785714285714285 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(90) + cbrt(27)) - 21. 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. $cbrt(27) = 3$
3. $6.12... | (cot(90) + cbrt(27)) - 21 | -18 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((11 + log(13, 3)) + sin(60)) - csc(150). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(13, 3) = 2.3347175194727927$
2. $sin(60) =... | ((11 + log(13, 3)) + sin(60)) - csc(150) | 12.200742923257232 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((45 * 22) + 82) * 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $45 * 22 = 990$
2. $990 + 82 = 1072$
3. $1072 * 86 = 92192$
4.... | ((45 * 22) + 82) * 86 | 7467552 | arithmetic | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 98 + 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $98 + 53 = 151$
The answer is $151$
3. Drafting the response: "Ответ на ваш запр... | 98 + 53 | 151 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(45) * 89) * 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(45) = 1.414213562373095$
2. $1.414213562373095 * 89 = 125.86500... | (csc(45) * 89) * 99 | 12460.63569806934 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(9, 2) / sec(0)) + 58) / 70. 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. $sec(0) = 1$
3. $... | ((log(9, 2) / sec(0)) + 58) / 70 | 0.873856071449176 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 + 18) / 39) + 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $68 + 18 = 86$
2. $86 / 39 = 2.2051282051282053$
3. $2.205128205... | ((68 + 18) / 39) + 56 | 58.205128205128204 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 39 - log(12, 10). 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. $39 - 1.0791812460476247 = 37.920... | 39 - log(12, 10) | 37.920818753952375 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(0) + 81) / sqrt(4)) + 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $sqrt(4) = 2$
3. $1 + 81 = 82$
4. $82... | ((sec(0) + 81) / sqrt(4)) + 13 | -31 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((30 * 72) * 92) * 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $30 * 72 = 2160$
2. $2160 * 92 = 198720$
3. $198720 * 31 = 61603... | ((30 * 72) * 92) * 31 | 6160320 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 45 - cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $45 - 2 = 43$
The answer is $43$
3. Drafting the respons... | 45 - cbrt(8) | 43 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((71 / cos(45)) - 60) / 65. 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. $71 / 0.7071067811865476 = ... | ((71 / cos(45)) - 60) / 65 | 28.597253764777353 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((72 * 81) * 41) - 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $72 * 81 = 5832$
2. $5832 * 41 = 239112$
3. $239112 - 8 = 239104$... | ((72 * 81) * 41) - 8 | 239104 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(270) / 8) + tan(45)) * 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $tan(45) = 0.9999999999999999$
3. $... | ((csc(270) / 8) + tan(45)) * 43 | 65.16841163477898 | trig | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 14 / 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $14 / 81 = 0.1728395061728395$
The answer is $0.1728395061728395$
3. Drafting th... | 14 / 81 | 0.1728395061728395 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(135) + 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(135) = -1.0000000000000002$
2. $-1.0000000000000002 + 33 = 32$
The ... | tan(135) + 33 | 32 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(0) * 14) + 5) - sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $sqrt(81) = 9$
3. $sqrt(36) = 6$
4. $... | ((sec(0) * 14) + 5) - sqrt(81) | 60 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 53 * 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $53 * 88 = 4664$
The answer is $4664$
3. Drafting the response: "Ответ на ваш за... | 53 * 88 | 4664 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) * 10) * 5) / 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $8 * 10 = 80$
3. $80 * 5 = 400$
4. $400... | ((sqrt(64) * 10) * 5) / 74 | 313.5135135135135 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 46 * sin(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(45) = 0.7071067811865476$
2. $46 * 0.7071067811865476 = 32.52691193458... | 46 * sin(45) | 32.526911934581186 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 / 87) * 6) + 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. $85 / 87 = 0.9770114942528736$
3. $0.97701149425... | ((85 / 87) * 6) + 4**2 | 21.862068965517242 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 - 60) / 78) - 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $41 - 60 = -19$
2. $-19 / 78 = -0.24358974358974358$
3. $-0.2435... | ((41 - 60) / 78) - 40 | -3340.2179487179487 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3**2 + 50. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $9 + 50 = 59$
The answer is $59$
3. Drafting the response: "От... | 3**2 + 50 | 59 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(7, 3) - sqrt(25)) / 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(7, 3) = 1.7712437491614221$
2. $sqrt(25) = 5$
3. $1.7... | (log(7, 3) - sqrt(25)) / 64 | -0.05044931641935278 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(270) - 97) * 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $-1 - 97 = -98$
3. $-98 * 4 = -392$
The answe... | (csc(270) - 97) * 4 | -392 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 + 54) - sqrt(25)) / 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $70 + 54 = 124$
3. $124 - 5 = 119$
4. ... | ((70 + 54) - sqrt(25)) / 39 | 3.051282051282051 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(100) / 30) / 66) * 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $10 / 30 = 0.3333333333333333$
3. $0.... | ((sqrt(100) / 30) / 66) * 57 | 0.00303030303030303 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (35 - log(2, 5)) + 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(2, 5) = 0.43067655807339306$
2. $35 - 0.43067655807339306 = 3... | (35 - log(2, 5)) + 40 | 74.5693234419266 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((93 / 93) / sqrt(4)) / sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sqrt(81) = 9$
3. $93 / 93 = 1$
4.... | ((93 / 93) / sqrt(4)) / sqrt(81) | 83.05555555555556 | power | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(30) * sec(120)) * cos(90). 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. $sec(120) = -2.00000000... | (cot(30) * sec(120)) * cos(90) | -2.1211504774498148e-16 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5**2 - 7) - 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $25 - 7 = 18$
3. $18 - 65 = -47$
The answer is $-47$
... | (5**2 - 7) - 65 | -47 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(125) / 3) + sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(125) = 4.999999999999999$
2. $sqrt(49) = 7$
3. $4.999... | (cbrt(125) / 3) + sqrt(49) | 8.666666666666666 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 - 13) / 18) + 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $70 - 13 = 57$
2. $57 / 18 = 3.1666666666666665$
3. $3.166666666... | ((70 - 13) / 18) + 63 | 3109.8333333333335 | arithmetic | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2 / 65) / 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2 / 65 = 0.03076923076923077$
2. $0.03076923076923077 / 67 = 0.0004592422... | (2 / 65) / 67 | 0.0004592422502870264 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((31 / cot(60)) - cos(360)) - sec(240). 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. $cos(360) = 1$
... | ((31 / cot(60)) - cos(360)) - sec(240) | 54.69357503463518 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 - 54) - sqrt(16)) / 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $70 - 54 = 16$
3. $16 - 4 = 12$
4. $12... | ((70 - 54) - sqrt(16)) / 36 | 0.3333333333333333 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(135) + log(24, 2)) * log(22, 10). 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(24, 2) = ... | (tan(135) + log(24, 2)) * log(22, 10) | 4.812534970865176 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (80 - 100) / 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $80 - 100 = -20$
2. $-20 / 6 = -3.3333333333333335$
The answer is $-3.3... | (80 - 100) / 6 | -3.3333333333333335 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((52 + 90) - log(10, 10)) / 18. 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. $52 + 90 = 142$
3. $142 - 1 = 141$... | ((52 + 90) - log(10, 10)) / 18 | 11.833333333333332 | log | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3 + 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3 + 67 = 70$
The answer is $70$
3. Drafting the response: "Ответ на ваш запрос в... | 3 + 67 | 70 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(9) + log(11, 3)) / 38) / 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $log(11, 3) = 2.182658338644138$
3... | ((sqrt(9) + log(11, 3)) / 38) / 11 | 0.012398704159435737 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(180) * tan(45)) * 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $tan(45) = 0.9999999999999999$
3. $-1 * 0... | (cos(180) * tan(45)) * 35 | -34.99999999999999 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(45) * 56. 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 * 56 = 39.59797974644... | cos(45) * 56 | 39.59797974644666 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((31 / 53) * 7) / 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $31 / 53 = 0.5849056603773585$
2. $0.5849056603773585 * 7 = 4.094339... | ((31 / 53) * 7) / 8 | 0.5117924528301887 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 67 - 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $67 - 44 = 23$
The answer is $23$
3. Drafting the response: "Ответ на ваш запрос... | 67 - 44 | 23 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (40 / sqrt(9)) * 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $40 / 3 = 13.333333333333334$
3. $13.333333333333... | (40 / sqrt(9)) * 75 | 1000 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(28, 2) + 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(28, 2) = 4.807354922057604$
2. $4.807354922057604 + 80 = 84.8073549... | log(28, 2) + 80 | 84.8073549220576 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6**4 * sqrt(25)) - 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $sqrt(25) = 5$
3. $1296 * 5 = 6480$
4. $6480... | (6**4 * sqrt(25)) - 25 | 6455 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(135) * 9) - 11) * 22. 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. $tan(180) = -1.2246467991... | ((tan(135) * 9) - 11) * 22 | -440 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) + cos(45)) / 51) / 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $cos(45) = 0.7071067811865476$
3. $... | ((sqrt(25) + cos(45)) / 51) / 86 | 0.0013012099364310414 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 20 / 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $20 / 91 = 0.21978021978021978$
The answer is $0.21978021978021978$
3. Drafting ... | 20 / 91 | 0.21978021978021978 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 34 * 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $34 * 62 = 2108$
The answer is $2108$
3. Drafting the response: "Ответ на ваш за... | 34 * 62 | 2108 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((49 + sqrt(36)) + sin(60)) / 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $sin(60) = 0.8660254037844386$
3. $... | ((49 + sqrt(36)) + sin(60)) / 77 | 0.725532797451746 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) / 30) - cot(270)) / 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $cot(270) = 1.83697019872103e-16$
... | ((sqrt(25) / 30) - cot(270)) / 46 | 0.003623188405797097 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3**3 * sqrt(64)) / sin(45)) - 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $sqrt(64) = 8$
3. $sin(45) = 0.707106... | ((3**3 * sqrt(64)) / sin(45)) - 7 | 13132.685696793895 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (8 * cos(270)) - 51. 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. $8 * -1.8369701987210297e-16... | (8 * cos(270)) - 51 | -51 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(0) - sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $sqrt(49) = 7$
3. $1 - 7 = -6$
The answer is $-6$
... | cos(0) - sqrt(49) | -6 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((40 - 74) * sqrt(4)) - log(17, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $log(17, 2) = 4.08746284125034$
3.... | ((40 - 74) * sqrt(4)) - log(17, 2) | -72.08746284125034 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 93 / 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $93 / 57 = 1.631578947368421$
The answer is $1.631578947368421$
3. Drafting the ... | 93 / 57 | 1.631578947368421 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((15 * 61) / sin(45)) + sin(360). 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. $sin(360) = -2.449293... | ((15 * 61) / sin(45)) + sin(360) | 1294.005409571382 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 75 * 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $75 * 19 = 1425$
The answer is $1425$
3. Drafting the response: "Ответ на ваш за... | 75 * 19 | 1425 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 / 40) * 68) / 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(37, 2) = 5.20945336562895$
2. $23 / 40 = 0.575$
3. $0.575 *... | ((23 / 40) * 68) / 24 | 6.8386200322956165 | log | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(39, 10) + 54) * 24) / sec(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(39, 10) = 1.591064607026499$
2. $sec(30) = 1.15... | ((log(39, 10) + 54) * 24) / sec(30) | 1157.4385801545664 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (92 / 7) - 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $92 / 7 = 13.142857142857142$
2. $13.142857142857142 - 25 = -11.8571428571... | (92 / 7) - 25 | -11.857142857142858 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) - 45) - 97) + 52. 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(31, 2) = 4.9541... | ((cos(270) - 45) - 97) + 52 | -94.95419631038688 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(36) + 92) - log(17, 3)) / 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $log(17, 3) = 2.5789019231625656$
... | ((sqrt(36) + 92) - log(17, 3)) / 45 | 2.120468846151943 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 67 / 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $67 / 20 = 3.35$
The answer is $3.35$
3. Drafting the response: "Ответ на ваш за... | 67 / 20 | 3.35 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(60) / 75) / 54) - 72. 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. $1.7320508075688767 / 75 = ... | ((tan(60) / 75) / 54) - 72 | -1.1428503544941895 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) * 53) - tan(360)) / 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $tan(360) = -2.4492935982947064e-16$... | ((sqrt(16) * 53) - tan(360)) / 60 | 3.533333333333333 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) / 52) + 14) * tan(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. $tan(30) = 0.577... | ((sin(180) / 52) + 14) * tan(30) | 290.98453567157134 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(81) + 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $9 + 1 = 10$
The answer is $10$
3. Drafting the respons... | sqrt(81) + 1 | 10 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (7 * 63) / 3**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $7 * 63 = 441$
3. $441 / 9 = 49$
The answer is $49$
3.... | (7 * 63) / 3**2 | 49 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 - 24) - 41) / 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. $66 - 24 = 42$
3.... | ((66 - 24) - 41) / log(33, 10) | 0.6585385709929116 | log | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (32 - sqrt(4)) / 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $32 - 2 = 30$
3. $30 / 28 = 1.0714285714285714$
... | (32 - sqrt(4)) / 28 | 1.0714285714285714 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 6 + log(18, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(18, 3) = 2.630929753571457$
2. $6 + 2.630929753571457 = 8.6309297535... | 6 + log(18, 3) | 8.630929753571458 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(180) - 88) * 40) + cot(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $cot(135) = -0.9999999999999998$
... | ((cos(180) - 88) * 40) + cot(135) | -3561 | trig | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 - 87) * 85) - 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $73 - 87 = -14$
2. $-14 * 85 = -1190$
3. $-1190 - 100 = -1290$
... | ((73 - 87) * 85) - 100 | -1343 | arithmetic | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3 - csc(210). 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. $3 - -1.9999999999999996 = 5$
The ans... | 3 - csc(210) | 5 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) * 26) * cot(60)) / tan(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(60) = 0.8660254037844386$
2. $cot(60) = 0.577... | ((sin(60) * 26) * cot(60)) / tan(135) | -11.494850021680094 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (95 - log(15, 2)) - 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(15, 2) = 3.9068905956085187$
2. $95 - 3.9068905956085187 = 9... | (95 - log(15, 2)) - 59 | 32.093109404391484 | log | 4 | 3 |
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