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: ((cos(180) * 13) - 14) / 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $-1 * 13 = -13$
3. $-13 - 14 = -27$
4... | ((cos(180) * 13) - 14) / 84 | -0.32142857142857145 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 + 59) + cbrt(125)) / 68. 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. $21 + 59 = 80$
3. $80 ... | ((21 + 59) + cbrt(125)) / 68 | 1.25 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 + 91) + 2) - 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $24 + 91 = 115$
2. $115 + 2 = 117$
3. $117 - 96 = 21$
4. $21 / ... | ((24 + 91) + 2) - 96 | 0.525 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((31 / 7) * 99) + 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $31 / 7 = 4.428571428571429$
2. $4.428571428571429 * 99 = 438.42857... | ((31 / 7) * 99) + 73 | 511.42857142857144 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((80 / 19) * 66) * 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $80 / 19 = 4.2105263157894735$
2. $4.2105263157894735 * 66 = 277.8... | ((80 / 19) * 66) * 22 | 6058.684210526316 | arithmetic | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(135) - cos(45)) - log(27, 3). 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. $cos(45) = 0.70710... | (cot(135) - cos(45)) - log(27, 3) | -4.707106781186548 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(90) + 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(90) = 6.123233995736766e-17$
2. $6.123233995736766e-17 + 31 = 31$
Th... | cot(90) + 31 | 31 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 93 - 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $93 - 91 = 2$
The answer is $2$
3. Drafting the response: "Ответ на ваш запрос в... | 93 - 91 | 2 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) * 75) - 42) + 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $7 * 75 = 525$
3. $525 - 42 = 483$
4. ... | ((sqrt(49) * 75) - 42) + 74 | 655 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((91 / 80) - 29) / sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $91 / 80 = 1.1375$
3. $1.1375 - 29 = -2... | ((91 / 80) - 29) / sin(270) | 89.8625 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((60 + 32) + 12) + 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. $60 + 32 = 92$
3. $92 ... | ((60 + 32) + 12) + cot(135) | 90 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) - 85) + 27) / sin(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sin(45) = 0.7071067811865476$
3. $co... | ((sqrt(4) - 85) + 27) / sin(45) | -4.849353914918762e-15 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) / log(23, 2)) / 3) + 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $log(23, 2) = 4.523561956057013$
3.... | ((sqrt(4) / log(23, 2)) / 3) + 27 | 27.147376486305003 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (42 + sqrt(16)) / 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $42 + 4 = 46$
3. $46 / 14 = 3.2857142857142856$... | (42 + sqrt(16)) / 14 | 3.2857142857142856 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) + 30) / 57) + 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(180) = 1.2246467991473532e-16$
2. $1.2246467991473532e-... | ((sin(180) + 30) / 57) + 12 | 12.526315789473685 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (100 - 70) / 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $100 - 70 = 30$
2. $30 / 37 = 0.8108108108108109$
The answer is $0.810... | (100 - 70) / 37 | 0.8108108108108109 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((80 + 63) * log(50, 10)) / 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(50, 10) = 1.6989700043360185$
2. $sec(360) = 1$
3.... | ((80 + 63) * log(50, 10)) / 24 | 11.123029609168777 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 - 1) / log(48, 10)) * 3**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(48, 10) = 1.6812412373755872$
2. $3**4 = 81$
3. $... | ((47 - 1) / log(48, 10)) * 3**4 | 2216.219729309207 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(9, 10) - 61) + 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(9, 10) = 0.9542425094393249$
2. $0.9542425094393249 - 61 = -6... | (log(9, 10) - 61) + 9 | -51.045757490560675 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(216) / 64) * 14) * 2. 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. $sin(360) = -2.4492935982... | ((cbrt(216) / 64) * 14) * 2 | 2.625 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 + 31) / log(13, 10)) / 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(13, 10) = 1.1139433523068367$
2. $83 + 31 = 114$
3... | ((83 + 31) / log(13, 10)) / 82 | 1.248038241406086 | log | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (20 / tan(45)) - 3. 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. $20 / 0.9999999999999999 = 20.00000... | (20 / tan(45)) - 3 | 17.000000000000004 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((98 / 69) * cbrt(8)) + 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $98 / 69 = 1.4202898550724639$
3. $1.42028... | ((98 / 69) * cbrt(8)) + 88 | 90.84057971014492 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (55 + 61) * 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $55 + 61 = 116$
2. $116 * 23 = 2668$
The answer is $2668$
3. Drafting t... | (55 + 61) * 23 | 2668 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (79 * 97) - 83. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $79 * 97 = 7663$
2. $7663 - 83 = 7580$
The answer is $7580$
3. Drafting... | (79 * 97) - 83 | 7580 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(90) + cbrt(64)) * 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $cbrt(64) = 3.9999999999999996$
3. $1 + 3.9... | (sin(90) + cbrt(64)) * 84 | 420 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**4 + 48) * 19) + sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $sin(90) = 1$
3. $1296 + 48 = 1344$
4.... | ((6**4 + 48) * 19) + sin(90) | 25454 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(270) + 44) / 4**2) + 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $4**2 = 16$
3. $cot(45) = 1.000000000... | ((sin(270) + 44) / 4**2) + 60 | 61.6875 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(30) - log(6, 10)) * 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(30) = 1.1547005383792515$
2. $log(6, 10) = 0.7781512503... | (sec(30) - log(6, 10)) * 94 | 35.39563307158715 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 / 5) + 47) + cos(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(270) = -1.8369701987210297e-16$
2. $44 / 5 = 8.8$
3. $... | ((44 / 5) + 47) + cos(270) | 0.9620689655172413 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(270) * 88) - 22) + 54. 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. $1.83697019872103e-16 *... | ((cot(270) * 88) - 22) + 54 | 32.000000000000014 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((26 * cos(45)) + 1) * 78. 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. $26 * 0.7071067811865476 = 1... | ((26 * cos(45)) + 1) * 78 | 1512.0125522463186 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(16) + 54) * 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $4 + 54 = 58$
3. $58 * 67 = 3886$
The answer ... | (sqrt(16) + 54) * 67 | 3886 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 96 + 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $96 + 54 = 150$
The answer is $150$
3. Drafting the response: "Ответ на ваш запр... | 96 + 54 | 150 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 * csc(150)) - 47) + sqrt(81). 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. $sqrt(81) = 9$
3.... | ((94 * csc(150)) - 47) + sqrt(81) | 10200.000000000002 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(360) * tan(225)) - 5**4) / cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $tan(225) = 0.99999999999999... | ((cos(360) * tan(225)) - 5**4) / cos(360) | -624 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((38 / 32) + cbrt(8)) / 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. $38 / 32 = 1.1875$
3. $1.1875 + 2 = 3.1875... | ((38 / 32) + cbrt(8)) / 16 | 0.19921875 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 34 / 2**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $34 / 8 = 4.25$
The answer is $4.25$
3. Drafting the response:... | 34 / 2**3 | 4.25 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(45) - 39) - 4. 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 - 39 = -38.2928... | (sin(45) - 39) - 4 | -42.292893218813454 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 55 + 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $55 + 25 = 80$
The answer is $80$
3. Drafting the response: "Ответ на ваш запрос... | 55 + 25 | 80 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (76 / log(49, 5)) + 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(49, 5) = 2.418123910244335$
2. $76 / 2.418123910244335 = 31.... | (76 / log(49, 5)) + 33 | 64.42932406318282 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(27) * 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $3 * 31 = 93$
The answer is $93$
3. Drafting the respo... | cbrt(27) * 31 | 93 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(100) * sqrt(4)) * sec(60)) * 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $sqrt(4) = 2$
3. $sec(60) =... | ((sqrt(100) * sqrt(4)) * sec(60)) * 79 | 3159.9999999999995 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((48 * sqrt(9)) + sqrt(36)) + 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $sqrt(36) = 6$
3. $sqrt(100) = 10$
... | ((48 * sqrt(9)) + sqrt(36)) + 57 | 2070 | power | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((16 * 77) * 22) - csc(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $16 * 77 = 1232$
3. $1232 * 22 = 27104$... | ((16 * 77) * 22) - csc(270) | 444.344262295082 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(360) + log(15, 5)) + cot(315)) + sqrt(4). 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. $... | ((sin(360) + log(15, 5)) + cot(315)) + sqrt(4) | 2.6826061944859854 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 16 * 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $16 * 4 = 64$
The answer is $64$
3. Drafting the response: "Ответ на ваш запрос в... | 16 * 4 | 64 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 28 / 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $28 / 19 = 1.4736842105263157$
The answer is $1.4736842105263157$
3. Drafting th... | 28 / 19 | 1.4736842105263157 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) / 93) / 41) - 82. 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 / 93 = ... | ((sin(60) / 93) / 41) - 82 | -81.99977287558254 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((26 - 67) + 28) - 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $26 - 67 = -41$
2. $-41 + 28 = -13$
3. $-13 - 82 = -95$
The an... | ((26 - 67) + 28) - 82 | -95 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((54 + 100) * tan(0)) + 90. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $54 + 100 = 154$
3. $154 * 0 = 0$
4. $0 +... | ((54 + 100) * tan(0)) + 90 | 8.181818181818182 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (66 / 20) - 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. $66 / 20 = 3.3$
3. $3.3 - 7 = -3.7$
The answe... | (66 / 20) - sqrt(49) | -3.7 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) - 2**4) - cos(360)) / 21. 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. $2**4 = 16$
3. $... | ((sin(30) - 2**4) - cos(360)) / 21 | -23.57142857142857 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 / 28) - 73) - 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. $34 / 28 = 1.2142857142857142$
3. $1.2142857142... | ((34 / 28) - 73) - 4**2 | -4564.857142857143 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 9 / 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. $9 / 4 = 2.25$
The answer is $2.25$
3. Drafting the res... | 9 / sqrt(16) | 2.25 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((57 - 13) - sin(90)) - 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $57 - 13 = 44$
3. $44 - 1 = 43$
4. $43 - ... | ((57 - 13) - sin(90)) - 4 | 39 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 * 19) / 5**2) * sec(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $sec(0) = 1$
3. $tan(180) = -1.224646799147... | ((75 * 19) / 5**2) * sec(0) | 57 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((67 - log(5, 3)) - sqrt(4)) / 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(5, 3) = 1.4649735207179269$
2. $sqrt(4) = 2$
3.... | ((67 - log(5, 3)) - sqrt(4)) / 33 | 1.9253038327055172 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((93 / 59) / sin(30)) / 20. 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. $93 / 59 = 1.5762711864406... | ((93 / 59) / sin(30)) / 20 | 0.1576271186440678 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(135) * 95. 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. $-0.9999999999999998 * 95 = -94.999999... | cot(135) * 95 | -94.99999999999999 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2**2 + sqrt(64)) - 61) - sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $sqrt(64) = 8$
3. $sqrt(25) = 5$
4... | ((2**2 + sqrt(64)) - 61) - sqrt(25) | -38.18376618407357 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6 * 8) * 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. $6 * 8 = 48$
3. $48 * 27 = 1296$
The answer is $1296$
... | (6 * 8) * 3**3 | 1296 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(270) + cbrt(64)) * csc(45). 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. $cbrt(64) = 3.99999... | (cot(270) + cbrt(64)) * csc(45) | 5.656854249492379 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(27) / 88) + 97) / 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $3 / 88 = 0.03409090909090909$
3. $0.034... | ((cbrt(27) / 88) + 97) / 66 | 0.017095505797937085 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 77 / 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. $77 / 2 = 38.5$
The answer is $38.5$
3. Drafting the res... | 77 / cbrt(8) | 38.5 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (83 + 67) - 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. $83 + 67 = 150$
3. $150 - 3 = 147$
The answer i... | (83 + 67) - sqrt(9) | 147 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2 / sqrt(36)) * 76) * 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $cos(270) = -1.8369701987210297e-16$
3. $... | ((2 / sqrt(36)) * 76) * 71 | -3.3040970640995583e-13 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (46 - sqrt(16)) + 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $46 - 4 = 42$
3. $42 + 12 = 54$
The answer is... | (46 - sqrt(16)) + 12 | 54 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(81) / 68) - 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $9 / 68 = 0.1323529411764706$
3. $0.13235294117... | (sqrt(81) / 68) - 36 | -35.86764705882353 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(45) / tan(60). 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. $tan(60) = 1.7320508075688767$
3. ... | sin(45) / tan(60) | 0.4082482904638632 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((55 - cot(45)) / log(8, 5)) - 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(45) = 1.0000000000000002$
2. $log(8, 5) = 1.29202... | ((55 - cot(45)) / log(8, 5)) - 57 | -15.205294292027475 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((39 / 43) - 50) - 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. $39 / 43 = 0.9069767441860465$
3. $0.9069767441... | ((39 / 43) - 50) - 4**2 | -3254.651162790698 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(45) * 66. 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 * 66 = 46.66904755831... | sin(45) * 66 | 46.66904755831214 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) * 47) / 36) * 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $3**2 = 9$
3. $4 * 47 = 188$
4. $188 / ... | ((sqrt(16) * 47) / 36) * 7 | 4.061728395061729 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 15 - 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $15 - 51 = -36$
The answer is $-36$
3. Drafting the response: "Ответ на ваш запр... | 15 - 51 | -36 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(45) - 25. 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 - 25 = -23.585786437626... | csc(45) - 25 | -23.585786437626904 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(45) * 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(45) = 0.7071067811865476$
2. $0.7071067811865476 * 21 = 14.84924240491... | cos(45) * 21 | 14.849242404917499 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(30) * csc(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. $csc(30) = 2.0000000000000004$
3. ... | tan(30) * csc(30) | 1.1547005383792517 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 23 * 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $23 * 2 = 46$
The answer is $46$
3. Drafting the response: "Ответ на ваш запрос в... | 23 * 2 | 46 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((58 - 49) / 41) + 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $58 - 49 = 9$
2. $9 / 41 = 0.21951219512195122$
3. $0.2195121951... | ((58 - 49) / 41) + 60 | 60.21951219512195 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (59 / 10) + 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $59 / 10 = 5.9$
2. $5.9 + 47 = 52.9$
The answer is $52.9$
3. Drafting t... | (59 / 10) + 47 | 52.9 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((82 * sqrt(25)) * 86) * 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $82 * 5 = 410$
3. $410 * 86 = 35260$
4... | ((82 * sqrt(25)) * 86) * 99 | 3490740 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) / csc(270)) / 10) + sin(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $csc(270) = -1$
3. $sin(60) = 0... | ((sqrt(4) / csc(270)) / 10) + sin(60) | 0.6660254037844386 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(315) * 92) + sin(60)) / sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(315) = -0.9999999999999996$
2. $sin(60) = 0.... | ((cot(315) * 92) + sin(60)) / sqrt(49) | -1.594384718326165e-15 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 74 / 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $74 / 68 = 1.088235294117647$
The answer is $1.088235294117647$
3. Drafting the ... | 74 / 68 | 1.088235294117647 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(0) * cos(360)) - 3**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $cos(360) = 1$
3. $3**4 = 81$
4. $0 * 1 =... | (tan(0) * cos(360)) - 3**4 | -81 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (63 / 72) / 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $63 / 72 = 0.875$
2. $0.875 / 99 = 0.008838383838383838$
The answer is ... | (63 / 72) / 99 | 0.008838383838383838 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((62 / 24) - 6**3) - 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $62 / 24 = 2.5833333333333335$
3. $2.583333333... | ((62 / 24) - 6**3) - 57 | -344.41666666666663 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(60) * 20) - cos(360). 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. $cos(360) = 1$
3. $0.577350... | (cot(60) * 20) - cos(360) | 10.54700538379252 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((42 / 52) / log(15, 10)) / sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(15, 10) = 1.1760912590556811$
2. $sin(90) = 1$
... | ((42 / 52) / log(15, 10)) / sin(90) | 0.6867598933953714 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) - 68) * sec(0)) - 4. 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. $sec(0) = 1$
3. ... | ((sin(180) - 68) * sec(0)) - 4 | -72 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(22, 10) * 84) * 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(22, 10) = 1.3424226808222062$
2. $1.3424226808222062 * 84 = ... | (log(22, 10) * 84) * 7 | 789.3445363234572 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 8 + 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $8 + 49 = 57$
The answer is $57$
3. Drafting the response: "Ответ на ваш запрос в... | 8 + 49 | 57 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 44 - 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $44 - 16 = 28$
The answer is $28$
3. Drafting the response: "Ответ на ваш запрос... | 44 - 16 | 28 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6 - 34) * cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $6 - 34 = -28$
3. $-28 * 1 = -28$
The answer i... | (6 - 34) * cos(360) | -28 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(90) + cbrt(216)) + 33) / 90. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $cbrt(216) = 5.999999999999999$
3. ... | ((csc(90) + cbrt(216)) + 33) / 90 | -0.5555555555555556 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(100) * tan(135)) + sqrt(4)) - 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $tan(135) = -1.0000000000000... | ((sqrt(100) * tan(135)) + sqrt(4)) - 44 | -468 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 / sin(45)) / tan(315)) + 64. 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. $tan(315) = -1.000000... | ((69 / sin(45)) / tan(315)) + 64 | 67.16147160748696 | trig | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 - log(50, 2)) / log(28, 2)) / 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(50, 2) = 5.643856189774724$
2. $log(28, 2) = ... | ((83 - log(50, 2)) / log(28, 2)) / 74 | -9.782551254966348 | log | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(49) - 83) + 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $7 - 83 = -76$
3. $-76 + 76 = 0$
The answer i... | (sqrt(49) - 83) + 76 | 0 | power | 5 | 3 |
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