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: csc(60) / 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(60) = 1.1547005383792517$
2. $1.1547005383792517 / 58 = 0.019908629972... | csc(60) / 58 | 0.019908629972056065 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 / tan(315)) - sqrt(16)) - tan(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(315) = -1.0000000000000004$
2. $sqrt(16) = 4... | ((5 / tan(315)) - sqrt(16)) - tan(315) | -7.999999999999998 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) * 76) / 79) / 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $8 * 76 = 608$
3. $608 / 79 = 7.69620253... | ((sqrt(64) * 76) / 79) / 41 | 0.18771225686940415 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(27) * 18) + sqrt(64)) * sec(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $sqrt(64) = 8$
3. $sec(360) ... | ((cbrt(27) * 18) + sqrt(64)) * sec(360) | -34 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(10, 3) / 5**2) * 20) / 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(10, 3) = 2.095903274289385$
2. $5**2 = 25$
3. $2.... | ((log(10, 3) / 5**2) * 20) / 73 | 0.022968803005911066 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((27 / 82) / 99) - csc(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(30) = 2.0000000000000004$
2. $27 / 82 = 0.32926829268292... | ((27 / 82) / 99) - csc(30) | -1.9966740576496678 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(360) - sin(360)) + cbrt(216). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $sin(360) = -2.4492935982947064e-16$... | (cos(360) - sin(360)) + cbrt(216) | 6.999999999999999 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(8) * 58) / 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $2 * 58 = 116$
3. $116 / 100 = 1.16$
The answe... | (cbrt(8) * 58) / 100 | 1.16 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 / sqrt(9)) / sqrt(4)) / sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $sqrt(4) = 2$
3. $sqrt(81) = 9$... | ((34 / sqrt(9)) / sqrt(4)) / sqrt(81) | 0.03935185185185185 | power | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(2, 2) - 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(2, 2) = 1$
2. $1 - 21 = -20$
The answer is $-20$
3. Drafting the r... | log(2, 2) - 21 | -20 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 11 / 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $11 / 63 = 0.1746031746031746$
The answer is $0.1746031746031746$
3. Drafting th... | 11 / 63 | 0.1746031746031746 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (62 * 17) * 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. $62 * 17 = 1054$
3. $1054... | (62 * 17) * cos(270) | -1.9361665894519652e-13 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((74 * 5**4) / 10) - 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $log(20, 5) = 1.8613531161467862$
3. $74 * 625... | ((74 * 5**4) / 10) - 19 | 4604.138646883854 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(45) * 62) / 9) - 75. 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 * 62 = 4... | ((cos(45) * 62) / 9) - 75 | -70.128819951826 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) + 30) * 67) - 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(30) = 0.49999999999999994$
2. $0.49999999999999994 + 30 ... | ((sin(30) + 30) * 67) - 55 | 1988.5 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(4) / 78. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $2 / 78 = 0.02564102564102564$
The answer is $0.02564102... | sqrt(4) / 78 | 0.02564102564102564 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 98 - 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $98 - 80 = 18$
The answer is $18$
3. Drafting the response: "Ответ на ваш запрос... | 98 - 80 | 18 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 * 20) * cbrt(8)) + 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $23 * 20 = 460$
3. $460 * 2 = 920$
4. $9... | ((23 * 20) * cbrt(8)) + 66 | 986 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (48 / cbrt(216)) - cbrt(8). 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. $cbrt(8) = 2$
3. $48 / 5... | (48 / cbrt(216)) - cbrt(8) | 6.000000000000002 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3 + 93) + 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3 + 93 = 96$
2. $96 + 70 = 166$
The answer is $166$
3. Drafting the res... | (3 + 93) + 70 | 166 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) - 86) + sin(30)) + 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sin(30) = 0.49999999999999994$
3. ... | ((sqrt(16) - 86) + sin(30)) + 88 | 6.5 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (85 * sin(60)) - 60. 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. $85 * 0.8660254037844386 = 73.6121... | (85 * sin(60)) - 60 | 13.612159321677282 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5 - 90) / 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5 - 90 = -85$
2. $-85 / 22 = -3.8636363636363638$
The answer is $-3.863... | (5 - 90) / 22 | -3.8636363636363638 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3**3 - 10) - 84) / log(10, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $log(10, 2) = 3.3219280948873626$
3. $2... | ((3**3 - 10) - 84) / log(10, 2) | -96.16900970948674 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (60 * 46) + csc(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(60) = 1.1547005383792517$
2. $60 * 46 = 2760$
3. $2760 + 1.15... | (60 * 46) + csc(60) | 2761.154700538379 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (40 / 1) + 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $40 / 1 = 40$
2. $40 + 42 = 82$
The answer is $82$
3. Drafting the respo... | (40 / 1) + 42 | 82 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) + cot(30)) * 79) * 75. 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. $cot(30) = 1.73... | ((cos(270) + cot(30)) * 79) * 75 | 10262.401034845598 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(8) - 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $2 - 71 = -69$
The answer is $-69$
3. Drafting the respo... | cbrt(8) - 71 | -69 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 * 3**2) * 82) + 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $23 * 9 = 207$
3. $207 * 82 = 16974$
4. $16974... | ((23 * 3**2) * 82) + 42 | 16946 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((43 / cos(60)) * 50) - 10. 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. $csc(60) = 1.15470053837925... | ((43 / cos(60)) * 50) - 10 | 3715.2489822352404 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(60) + 26) + sin(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(60) = 0.5000000000000001$
2. $sin(180) = 1.22464679914735... | (cos(60) + 26) + sin(180) | 26.5 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(360) - 23) * cbrt(125). 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. $cbrt(125) = 4.99999... | (sin(360) - 23) * cbrt(125) | -114.99999999999999 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (79 / 74) - 6**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $79 / 74 = 1.0675675675675675$
3. $1.067567567567567... | (79 / 74) - 6**4 | -1294.9324324324325 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 64 - 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $64 - 52 = 12$
The answer is $12$
3. Drafting the response: "Ответ на ваш запрос... | 64 - 52 | 12 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((43 - 14) - 86) + 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $43 - 14 = 29$
2. $29 - 86 = -57$
3. $-57 + 8 = -49$
The answer... | ((43 - 14) - 86) + 8 | -49 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((36 - 4**2) - 34) / 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**2 = 16$
2. $36 - 16 = 20$
3. $20 - 34 = -14$
4. $-14 / 9... | ((36 - 4**2) - 34) / 99 | -13.858585858585858 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) - sqrt(64)) * cot(315)) / sqrt(81). 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. $s... | ((cos(270) - sqrt(64)) * cot(315)) / sqrt(81) | 1.3888888888888886 | mixed | 1 | 9 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (43 - csc(90)) / 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $43 - 1 = 42$
3. $42 / 37 = 1.135135135135135$
... | (43 - csc(90)) / 37 | 1.135135135135135 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((67 - sqrt(100)) + 99) + sin(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. $sin(270) = -1$
3. $67 - 10 = 5... | ((67 - sqrt(100)) + 99) + sin(270) | 155 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(34, 3) - 68) + tan(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(34, 3) = 3.2098316767340234$
2. $tan(315) = -1.0000000... | (log(34, 3) - 68) + tan(315) | -65.79016832326597 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(270) / 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(270) = -1.8369701987210297e-16$
2. $-1.8369701987210297e-16 / 57 = -3... | cos(270) / 57 | -3.222754734598298e-18 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (55 / 65) + 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $55 / 65 = 0.8461538461538461$
2. $0.8461538461538461 + 39 = 39.846153846... | (55 / 65) + 39 | 39.84615384615385 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(240) + 15) * log(26, 5)) / cos(0). 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. $log(26, 5) ... | ((sec(240) + 15) * log(26, 5)) / cos(0) | 27.316799590126184 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((19 - sqrt(81)) + log(7, 5)) / log(17, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $log(7, 5) = 1.209061955122... | ((19 - sqrt(81)) + log(7, 5)) / log(17, 5) | 31.837152876684964 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (90 - 100) * 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $90 - 100 = -10$
2. $-10 * 54 = -540$
The answer is $-540$
3. Drafting... | (90 - 100) * 54 | -540 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(135) + 98) - 32) + log(19, 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. $log(19, 3) = 2.... | ((cot(135) + 98) - 32) + log(19, 3) | 67.68014385924637 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3 - 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3 - 35 = -32$
The answer is $-32$
3. Drafting the response: "Ответ на ваш запрос... | 3 - 35 | -32 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(36) * 29. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $6 * 29 = 174$
The answer is $174$
3. Drafting the res... | sqrt(36) * 29 | 174 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) - 46) * 86) / log(26, 3). 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(26, 3) ... | ((cos(270) - 46) * 86) / log(26, 3) | -1362.9415094834083 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((18 * 62) * 7) + 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $18 * 62 = 1116$
2. $1116 * 7 = 7812$
3. $7812 + 56 = 7868$
4. ... | ((18 * 62) * 7) + 56 | 275380 | arithmetic | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) * sqrt(16)) + 16) / 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $sqrt(16) = 4$
3. $cbrt(125) = 4.999... | ((cbrt(8) * sqrt(16)) + 16) / 75 | 1.5999999999999996 | power | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (56 - 20) - 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. $56 - 20 = 36$
3. $36 - 9 = 27$
The answer is $27$
3.... | (56 - 20) - 3**2 | 27 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((48 / 37) + 96) + 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $48 / 37 = 1.2972972972972974$
2. $1.2972972972972974 + 96 = 97.29... | ((48 / 37) + 96) + 53 | 150.2972972972973 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4**3 / 27) + 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $64 / 27 = 2.3703703703703702$
3. $2.3703703703703702 ... | (4**3 / 27) + 43 | 45.37037037037037 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (59 * 60) - 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $59 * 60 = 3540$
2. $3540 - 89 = 3451$
The answer is $3451$
3. Drafting... | (59 * 60) - 89 | 3451 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((63 * 5) - 20) / 2**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $63 * 5 = 315$
3. $315 - 20 = 295$
4. $295 / 1... | ((63 * 5) - 20) / 2**4 | 18.4375 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 49 / 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $49 / 73 = 0.6712328767123288$
The answer is $0.6712328767123288$
3. Drafting th... | 49 / 73 | 0.6712328767123288 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(45) * 76) + sin(0)) + 26. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(45) = 1.414213562373095$
2. $sin(0) = 0$
3. $1.414... | ((sec(45) * 76) + sin(0)) + 26 | 533.9209229614208 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 + sqrt(36)) + sqrt(49)) + 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $sqrt(49) = 7$
3. $69 + 6 = 75$
... | ((69 + sqrt(36)) + sqrt(49)) + 75 | 157 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((42 + 1) - 88) / 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $42 + 1 = 43$
2. $43 - 88 = -45$
3. $-45 / 52 = -0.86538461538461... | ((42 + 1) - 88) / 52 | -0.8653846153846154 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 74 * 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $74 * 61 = 4514$
The answer is $4514$
3. Drafting the response: "Ответ на ваш за... | 74 * 61 | 4514 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(45) / cbrt(216)) + 30) * log(34, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(45) = 1.414213562373095$
2. $cbrt(216) = ... | ((sec(45) / cbrt(216)) + 30) * log(34, 2) | 55.82301172887111 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(225) * csc(30)) / 49) - 27. 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. $csc(30) = 2.0000000... | ((tan(225) * csc(30)) / 49) - 27 | -26.959183673469386 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5**4 * 15) + 82) / 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $sec(240) = -1.9999999999999982$
3. $625 * 15 ... | ((5**4 * 15) + 82) / 76 | -62.217105263157954 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((33 + 38) - tan(135)) * 91. 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. $33 + 38 = 71$
3. $71 ... | ((33 + 38) - tan(135)) * 91 | 6577 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 * 99) * tan(315)) + 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(315) = -1.0000000000000004$
2. $23 * 99 = 2277$
3. $2... | ((23 * 99) * tan(315)) + 48 | -2225.000000000001 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 29 / 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $29 / 35 = 0.8285714285714286$
The answer is $0.8285714285714286$
3. Drafting th... | 29 / 35 | 0.8285714285714286 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 72 / 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. $72 / -1.9999999999999982 = -36.000000... | 72 / sec(240) | -36.000000000000036 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) + log(29, 3)) - sin(270)) - 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $log(29, 3) = 3.06504475211066... | ((cbrt(8) + log(29, 3)) - sin(270)) - 70 | 25.065044752110666 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 - 10) / sec(45)) - 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(45) = 1.414213562373095$
2. $5**2 = 25$
3. $90 - 10 = ... | ((90 - 10) / sec(45)) - 37 | 489.2135623730951 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 70 - 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. $70 - 3 = 67$
The answer is $67$
3. Drafting the respons... | 70 - sqrt(9) | 67 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (44 / 2**4) + log(28, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $log(28, 5) = 2.0704150712689535$
3. $44 / 16 ... | (44 / 2**4) + log(28, 5) | 4.820415071268954 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 57 - 4**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $57 - 64 = -7$
The answer is $-7$
3. Drafting the response: "... | 57 - 4**3 | -7 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((56 * 84) * 63) * log(32, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(32, 10) = 1.5051499783199058$
2. $56 * 84 = 4704$
... | ((56 * 84) * 63) * log(32, 10) | 8475029.921126153 | log | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(270) - 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $-1 - 47 = -48$
The answer is $-48$
3. Drafting the r... | csc(270) - 47 | -48 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (7 * 12) + 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $7 * 12 = 84$
2. $84 + 33 = 117$
The answer is $117$
3. Drafting the res... | (7 * 12) + 33 | 117 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 27 * sec(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $27 * 1 = 27$
The answer is $27$
3. Drafting the response:... | 27 * sec(0) | 27 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(30) / 14) - 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(30) = 0.49999999999999994$
2. $0.49999999999999994 / 14 = 0.035... | (sin(30) / 14) - 44 | -43.964285714285715 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 - 65) - cos(0)) / 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $6**2 = 36$
3. $95 - 65 = 30$
4. $30 - 1 =... | ((95 - 65) - cos(0)) / 60 | 36.483333333333334 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(125) + 35) + cbrt(8)) / 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(125) = 4.999999999999999$
2. $cbrt(8) = 2$
3. $... | ((cbrt(125) + 35) + cbrt(8)) / 1 | 42 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 / sqrt(64)) / 5**2) / cbrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $5**2 = 25$
3. $cbrt(64) = 3.999... | ((46 / sqrt(64)) / 5**2) / cbrt(64) | 0.05750000000000001 | power | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(29, 5) / csc(30)) * cos(270)) + 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(29, 5) = 2.0922185341675$
2. $csc(30) = 2.... | ((log(29, 5) / csc(30)) * cos(270)) + 45 | 31.81980515339464 | mixed | 1 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(8, 2) * 30. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(8, 2) = 3$
2. $3 * 30 = 90$
The answer is $90$
3. Drafting the res... | log(8, 2) * 30 | 90 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 * sin(60)) - cos(30)) + 3**3. 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. $cos(30) = 0.8660254... | ((21 * sin(60)) - cos(30)) + 3**3 | 44.32050807568878 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (82 * 24) - 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $82 * 24 = 1968$
2. $1968 - 36 = 1932$
The answer is $1932$
3. Drafting... | (82 * 24) - 36 | 1932 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(180) * 5**3. 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. $5**3 = 125$
3. $1.224646799147... | sin(180) * 5**3 | 1.5308084989341916e-14 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((91 * 86) - 51) - 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $91 * 86 = 7826$
3. $7826 - 51 = 7775$
4. $... | ((91 * 86) - 51) - 47 | 7727 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 * 54) * 99) / 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $41 * 54 = 2214$
2. $2214 * 99 = 219186$
3. $219186 / 44 = 4981.... | ((41 * 54) * 99) / 44 | 4981.5 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4 + 8) + 36) * 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4 + 8 = 12$
2. $12 + 36 = 48$
3. $48 * 46 = 2208$
4. $2208 * 21... | ((4 + 8) + 36) * 46 | 46368 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((55 * 76) / log(14, 10)) * sqrt(16). 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. $sqrt(16) = 4... | ((55 * 76) / log(14, 10)) * sqrt(16) | 197.13848620083635 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 * csc(210)) + 36) - sqrt(9). 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. $sqrt(9) = 3$
3. $... | ((9 * csc(210)) + 36) - sqrt(9) | 15.000000000000004 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (7 - cbrt(125)) + log(14, 10). 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. $log(14, 10) = 1.146128... | (7 - cbrt(125)) + log(14, 10) | 3.1461280356782386 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(180) - 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $-1 - 44 = -45$
The answer is $-45$
3. Drafting the r... | cos(180) - 44 | -45 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(360) + 1) / sin(30)) + 1. 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(30) = 0.4999... | ((sin(360) + 1) / sin(30)) + 1 | 3.4641016151377544 | trig | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (44 - sin(30)) - sec(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(30) = 0.49999999999999994$
2. $sec(30) = 1.154700538379251... | (44 - sin(30)) - sec(30) | 42.34529946162075 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 21 * 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $21 * 60 = 1260$
The answer is $1260$
3. Drafting the response: "Ответ на ваш за... | 21 * 60 | 1260 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(100) * 75) + 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $10 * 75 = 750$
3. $750 + 54 = 804$
The an... | (sqrt(100) * 75) + 54 | 804 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(21, 5) - cos(180)) + 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(21, 5) = 1.8916681496081529$
2. $cos(180) = -1$
3. $... | (log(21, 5) - cos(180)) + 79 | 81.89166814960815 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 50 - 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $50 - 92 = -42$
The answer is $-42$
3. Drafting the response: "Ответ на ваш запр... | 50 - 92 | -42 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 88 + log(30, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(30, 2) = 4.906890595608519$
2. $88 + 4.906890595608519 = 92.9068905... | 88 + log(30, 2) | 92.90689059560852 | log | 3 | 2 |
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