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: ((62 - 36) + 6) + 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. $sqrt(25) = 5$
3. $62 -... | ((62 - 36) + 6) + cbrt(125) | 7.4 | power | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(0) * sqrt(81)) + log(17, 10)) / log(36, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $sqrt(81) = 9$
3. $lo... | ((sin(0) * sqrt(81)) + log(17, 10)) / log(36, 2) | 0.23800130969694952 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(60) / 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 / 72 = 0.024056261216... | tan(60) / 72 | 0.0240562612162344 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 64 / 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $64 / 76 = 0.8421052631578947$
The answer is $0.8421052631578947$
3. Drafting th... | 64 / 76 | 0.8421052631578947 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(216) + 66) + cbrt(27)) / 59. 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. $cbrt(27) = 3$
3... | ((cbrt(216) + 66) + cbrt(27)) / 59 | 1.271186440677966 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 + 92) + log(6, 5)) + cos(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 5) = 1.1132827525593785$
2. $cos(30) = 0.86602... | ((73 + 92) + log(6, 5)) + cos(30) | 166.97930815634382 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((51 / 2**4) + 35) - 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $51 / 16 = 3.1875$
3. $3.1875 + 35 = 38.1875$
... | ((51 / 2**4) + 35) - 33 | 16.1875 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((11 * cos(180)) + 80) * 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $11 * -1 = -11$
3. $-11 + 80 = 69$
4.... | ((11 * cos(180)) + 80) * 80 | 5520 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 * 8) * sin(360)) + tan(0). 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. $tan(0) = 0$
3.... | ((24 * 8) * sin(360)) + tan(0) | -4.702643708725836e-14 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(270) - 53) - sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $sqrt(49) = 7$
3. $-1 - 53 = -54$
4. $... | (csc(270) - 53) - sqrt(49) | -61 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 / 31) / 87) - cot(60). 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. $sin(90) = 1$
3. $22 / 31 ... | ((22 / 31) / 87) - cot(60) | -0.5691930574729037 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(64) - 63) * 89) + 36. 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. $3.9999999999999996 - 63 ... | ((cbrt(64) - 63) * 89) + 36 | -5215 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(9) - log(7, 10)) + 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $log(7, 10) = 0.8450980400142567$
3. $3 -... | (sqrt(9) - log(7, 10)) + 80 | 82.15490195998575 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((98 * 41) - cbrt(125)) / 54. 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. $98 * 41 = 4018$
3. $4... | ((98 * 41) - cbrt(125)) / 54 | 74.31481481481481 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((65 * cos(30)) + cos(90)) * log(4, 2). 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(90) = 6.12... | ((65 * cos(30)) + cos(90)) * log(4, 2) | 1013.2497224277934 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((1 * 6) / 9) / 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $1 * 6 = 6$
2. $6 / 9 = 0.6666666666666666$
3. $0.6666666666666666 ... | ((1 * 6) / 9) / 54 | 0.012345679012345678 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) / 43) - sec(60)) + 38. 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(60) = 1.99999999... | ((sin(30) / 43) - sec(60)) + 38 | 36.01162790697674 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((40 - 50) * 69) / 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $40 - 50 = -10$
2. $-10 * 69 = -690$
3. $-690 / 18 = -38.3333333... | ((40 - 50) * 69) / 18 | -38.333333333333336 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 19 * 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $19 * 70 = 1330$
The answer is $1330$
3. Drafting the response: "Ответ на ваш за... | 19 * 70 | 1330 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((50 / 27) - 6**2) * 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $50 / 27 = 1.8518518518518519$
3. $1.8518518518... | ((50 / 27) - 6**2) * 20 | -682.9629629629629 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 77 / 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $77 / 70 = 1.1$
The answer is $1.1$
3. Drafting the response: "Ответ на ваш запр... | 77 / 70 | 1.1 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(180) * log(19, 10)) - 3**3. 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. $log(19, 10) = 1... | (tan(180) * log(19, 10)) - 3**3 | -27 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) * 4) * cos(0)) - tan(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $cos(0) = 1$
3. $tan(135) = -1.... | ((sqrt(49) * 4) * cos(0)) - tan(135) | 29.000000000000004 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(34, 10) + cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(34, 10) = 1.5314789170422551$
2. $cos(60) = 0.500000000000000... | log(34, 10) + cos(60) | 2.0314789170422554 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (77 * 88) / 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $77 * 88 = 6776$
2. $6776 / 1 = 6776$
The answer is $6776$
3. Drafting t... | (77 * 88) / 1 | 6776 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 82 / log(31, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(31, 10) = 1.4913616938342726$
2. $82 / 1.4913616938342726 = 54.983... | 82 / log(31, 10) | 54.983308434843195 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(180) + 63) / tan(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $tan(60) = 1.7320508075688767$
3. $-1 + 6... | (sec(180) + 63) / tan(60) | 35.79571668975681 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 93 / 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $93 / 62 = 1.5$
The answer is $1.5$
3. Drafting the response: "Ответ на ваш запр... | 93 / 62 | 1.5 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 / 91) + 89) + 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $95 / 91 = 1.043956043956044$
2. $1.043956043956044 + 89 = 90.0439... | ((95 / 91) + 89) + 52 | 142.04395604395603 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((14 * 2**2) - 89) + 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $14 * 4 = 56$
3. $56 - 89 = -33$
4. $-33 + 4 = ... | ((14 * 2**2) - 89) + 4 | -29 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 + 4) / 13) + 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $90 + 4 = 94$
3. $94 / 13 = 7.230769230769231$
... | ((90 + 4) / 13) + 27 | 28.230769230769234 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) * 92) / 76) * 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $2 * 92 = 184$
3. $184 / 76 = 2.4210526315... | ((sqrt(4) * 92) / 76) * 91 | 220.31578947368422 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(36) / 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $6 / 53 = 0.11320754716981132$
The answer is $0.113207... | sqrt(36) / 53 | 0.11320754716981132 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 54 + 30. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $54 + 30 = 84$
The answer is $84$
3. Drafting the response: "Ответ на ваш запрос... | 54 + 30 | 84 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 - 69) + 74) / 71. 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. $84 - 69 = 15$
3. $15 + 74 ... | ((84 - 69) + 74) / 71 | 3.1148742429073497 | log | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(48, 5) * log(2, 2)) + 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(48, 5) = 2.405312426779558$
2. $log(2, 2) = 1$
3. $... | (log(48, 5) * log(2, 2)) + 17 | 19.40531242677956 | log | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 / csc(45)) + cbrt(27)) + 95. 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. $cbrt(27) = 3$
3. $c... | ((97 / csc(45)) + cbrt(27)) + 95 | 333.1787155501902 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (91 + log(14, 10)) / 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(14, 10) = 1.1461280356782377$
2. $91 + 1.1461280356782377 =... | (91 + log(14, 10)) / 95 | 0.9699592424808234 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 / sqrt(4)) / 26) * 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $73 / 2 = 36.5$
3. $36.5 / 26 = 1.40384615... | ((73 / sqrt(4)) / 26) * 15 | 21.057692307692307 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(45, 3) * 95) * sqrt(64)) + cot(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(45, 3) = 3.4649735207179266$
2. $sqrt(64) ... | ((log(45, 3) * 95) * sqrt(64)) + cot(90) | 2633.3798757456243 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (82 - 64) / sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $82 - 64 = 18$
3. $18 / 9 = 2$
The answer is ... | (82 - 64) / sqrt(81) | 2 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (27 - 12) * sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $27 - 12 = 15$
3. $15 * 9 = 135$
The answer i... | (27 - 12) * sqrt(81) | 135 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((98 + 90) - 51) + sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $98 + 90 = 188$
3. $188 - 51 = 137$
4. $... | ((98 + 90) - 51) + sqrt(9) | 140 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(37, 5) * 82) * 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(37, 5) = 2.2435894449529292$
2. $2.2435894449529292 * 82 = 18... | (log(37, 5) * 82) * 5 | 919.871672430701 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(180) - 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $-1 - 18 = -19$
The answer is $-19$
3. Drafting the r... | sec(180) - 18 | -19 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 31 - 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $31 - 91 = -60$
The answer is $-60$
3. Drafting the response: "Ответ на ваш запр... | 31 - 91 | -60 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3 + 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3 + 38 = 41$
The answer is $41$
3. Drafting the response: "Ответ на ваш запрос в... | 3 + 38 | 41 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(180) - 5**2) * 20) + 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $5**2 = 25$
3. $-1 - 25 = -26$
4. $... | ((sec(180) - 5**2) * 20) + 72 | -448 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((25 * sqrt(16)) * 71) / 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $6**4 = 1296$
3. $25 * 4 = 100$
4. $10... | ((25 * sqrt(16)) * 71) / 82 | 112214.63414634146 | power | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (67 + cos(60)) / 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(60) = 0.5000000000000001$
2. $67 + 0.5000000000000001 = 67.5$
... | (67 + cos(60)) / 8 | 8.4375 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(90) + 30) * 79) - 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $1 + 30 = 31$
3. $31 * 79 = 2449$
4. $24... | ((csc(90) + 30) * 79) - 33 | 111136 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 70 * 5**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $70 * 125 = 8750$
The answer is $8750$
3. Drafting the respo... | 70 * 5**3 | 8750 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(45) * 83. 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 * 83 = 58.68986283848... | sin(45) * 83 | 58.68986283848345 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (92 * 18) * 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $92 * 18 = 1656$
2. $1656 * 32 = 52992$
The answer is $52992$
3. Drafti... | (92 * 18) * 32 | 52992 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(270) * 34) * cbrt(27)) + 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $cbrt(27) = 3$
3. $-1 * 34 = -34$... | ((csc(270) * 34) * cbrt(27)) + 12 | -90 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(36) + 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $6 + 56 = 62$
The answer is $62$
3. Drafting the respo... | sqrt(36) + 56 | 62 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) * sin(180)) + 6**4) * 57. 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. $sin(180) = 1.22... | ((cos(90) * sin(180)) + 6**4) * 57 | 73872 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (17 + cos(270)) - 83. 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. $17 + -1.8369701987210297e-... | (17 + cos(270)) - 83 | -66 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (51 * 51) + 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $51 * 51 = 2601$
2. $2601 + 42 = 2643$
The answer is $2643$
3. Drafting... | (51 * 51) + 42 | 2643 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 + cos(30)) / cbrt(8)) / 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. $cbrt(8) = 2$
3. ... | ((5 + cos(30)) / cbrt(8)) / cos(0) | 89.93301270189222 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((58 / 64) / 31) + 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $58 / 64 = 0.90625$
2. $0.90625 / 31 = 0.029233870967741934$
3. ... | ((58 / 64) / 31) + 14 | 14.029233870967742 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((16 * sqrt(100)) * 40) * cos(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $cos(270) = -1.8369701987210297e-... | ((16 * sqrt(100)) * 40) * cos(270) | -1.175660927181459e-12 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) - sin(360)) + cot(30)) / 99. 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. $sin(360) = -2.... | ((sin(30) - sin(360)) + cot(30)) / 99 | 0.022545967753220986 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 69 / 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $69 / 36 = 1.9166666666666667$
The answer is $1.9166666666666667$
3. Drafting th... | 69 / 36 | 1.9166666666666667 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3 + 11) * tan(360)) + log(48, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(360) = -2.4492935982947064e-16$
2. $log(48, 5) =... | ((3 + 11) * tan(360)) + log(48, 5) | -2.4053124267795543 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((60 + log(37, 5)) - 54) * 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(37, 5) = 2.2435894449529292$
2. $60 + 2.2435894449529... | ((60 + log(37, 5)) - 54) * 58 | 536.12818780727 | log | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((42 / 35) + 83) + 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $42 / 35 = 1.2$
2. $1.2 + 83 = 84.2$
3. $84.2 + 20 = 104.2$
Th... | ((42 / 35) + 83) + 20 | 104.2 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 + sin(270)) + 54) - log(36, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $log(36, 2) = 5.169925001442312$
... | ((68 + sin(270)) + 54) - log(36, 2) | 57.915037499278846 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((39 - 6) + log(5, 10)) + sec(240). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(5, 10) = 0.6989700043360187$
2. $sec(240) = -1.9... | ((39 - 6) + log(5, 10)) + sec(240) | 31.69897000433602 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 29 - 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $29 - 81 = -52$
The answer is $-52$
3. Drafting the response: "Ответ на ваш запр... | 29 - 81 | -52 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(19, 5) * cos(360)) / cbrt(125)) / 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(19, 5) = 1.8294828004351504$
2. $cos(360... | ((log(19, 5) * cos(360)) / cbrt(125)) / 24 | 0.015245690003626257 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 39 * sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $39 * 0 = 0$
The answer is $0$
3. Drafting the response: "... | 39 * sin(0) | 0 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(30) * 5) - 17) - 83. 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. $0.5773502691896257 * 5 = 2.... | ((tan(30) * 5) - 17) - 83 | -30.113248654051873 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((31 + 4**4) * cot(45)) * 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $cot(45) = 1.0000000000000002$
3. $log(31... | ((31 + 4**4) * cot(45)) * 20 | 5735.045803689614 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 21 - log(46, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(46, 10) = 1.6627578316815739$
2. $21 - 1.6627578316815739 = 19.337... | 21 - log(46, 10) | 19.337242168318426 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) / 28) * 55) - 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $6**3 = 216$
3. $8 / 28 = 0.285714285714... | ((sqrt(64) / 28) * 55) - 88 | -15613.714285714286 | power | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((18 / 41) - 28) / sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $18 / 41 = 0.43902439024390244$
3. $0.4390... | ((18 / 41) - 28) / sin(90) | -27.5609756097561 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(180) + 48. 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. $-1.2246467991473532e-16 + 48 = 48... | tan(180) + 48 | 48 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(60) - 1. 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. $0.8660254037844386 - 1 = -0.1339745962155... | sin(60) - 1 | -0.1339745962155614 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(11, 5) - csc(45)) * 20) * 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(11, 5) = 1.4898961024049782$
2. $csc(45) = 1.414... | ((log(11, 5) - csc(45)) * 20) * 97 | 146.82412766185348 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((26 * sin(30)) - 72) * log(28, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(30) = 0.49999999999999994$
2. $log(28, 5) = 2.07... | ((26 * sin(30)) - 72) * log(28, 5) | -122.15448920486826 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(16) + log(30, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $log(30, 10) = 1.4771212547196624$
3. $4 + 1.... | sqrt(16) + log(30, 10) | 5.477121254719663 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(0) / 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $1 / 68 = 0.014705882352941176$
The answer is $0.014705882... | cos(0) / 68 | 0.014705882352941176 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 51 / sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $51 / 10 = 5.1$
The answer is $5.1$
3. Drafting the... | 51 / sqrt(100) | 5.1 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (62 - 1) * 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $62 - 1 = 61$
2. $61 * 2 = 122$
The answer is $122$
3. Drafting the respo... | (62 - 1) * 2 | 122 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(90) / sec(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(90) = 6.123233995736766e-17$
2. $sec(30) = 1.1547005383792515$
... | cos(90) / sec(30) | 5.3028761936245346e-17 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(36) + 14) - 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $6 + 14 = 20$
3. $20 - 69 = -49$
The answer i... | (sqrt(36) + 14) - 69 | -49 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(64) + 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $8 + 99 = 107$
The answer is $107$
3. Drafting the res... | sqrt(64) + 99 | 107 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(0) / 2**3) + sqrt(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. $2**3 = 8$
3. $sqrt(100) = 10$
4. $0 / 8... | (tan(0) / 2**3) + sqrt(100) | 10 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(180) + 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $-1 + 85 = 84$
The answer is $84$
3. Drafting the res... | cos(180) + 85 | 84 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(34, 10) * 90) * 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(34, 10) = 1.5314789170422551$
2. $1.5314789170422551 * 90 =... | (log(34, 10) * 90) * 22 | 3032.328255743665 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 + 28) + 9) - 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. $21 + 28 = 49$
3. $49 + 9 = 58$
4. $58 ... | ((21 + 28) + 9) - sqrt(25) | 4187 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) * sqrt(64)) - 3**3) + cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sqrt(64) = 8$
3. $3**3 = ... | ((sqrt(16) * sqrt(64)) - 3**3) + cos(360) | 21.14231408571498 | mixed | 1 | 9 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(216) + 2**4) / sqrt(36)) * tan(30). 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. $2**4 = 16$... | ((cbrt(216) + 2**4) / sqrt(36)) * tan(30) | 6.116950987028627 | mixed | 1 | 9 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 - tan(225)) - cos(180)) - sqrt(25). 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. $cos(180) = -... | ((24 - tan(225)) - cos(180)) - sqrt(25) | 17 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (47 / 4) - 3**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $47 / 4 = 11.75$
3. $11.75 - 27 = -15.25$
The answer ... | (47 / 4) - 3**3 | -15.25 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((79 * 78) + log(3, 10)) / 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(3, 10) = 0.47712125471966244$
2. $sqrt(36) = 6$
3. ... | ((79 * 78) + log(3, 10)) / 87 | 11.805511726541608 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (51 / 87) - tan(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(225) = 0.9999999999999997$
2. $51 / 87 = 0.5862068965517241$
... | (51 / 87) - tan(225) | -0.4137931034482756 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(30) - sin(360)) * 4) * cos(60). 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(360) = -2.44... | ((cos(30) - sin(360)) * 4) * cos(60) | 4.7320508075688785 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(8) + 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $2 + 67 = 69$
The answer is $69$
3. Drafting the respons... | cbrt(8) + 67 | 69 | power | 2 | 2 |
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