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: ((34 + csc(210)) - 12) * sin(360). 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. $sin(360) = -2.449... | ((34 + csc(210)) - 12) * sin(360) | -4.898587196589413e-15 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (11 - 53) - 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $11 - 53 = -42$
2. $-42 - 79 = -121$
The answer is $-121$
3. Drafting t... | (11 - 53) - 79 | -121 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 54 + sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $54 + 6 = 60$
The answer is $60$
3. Drafting the respo... | 54 + sqrt(36) | 60 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (41 + 17) + 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. $41 + 17 = 58$
3. $58 + 4 = 62$
The answer is... | (41 + 17) + sqrt(16) | 62 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((50 - cot(90)) / cos(0)) + 98. 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. $cos(0) = 1$
3. $5... | ((50 - cot(90)) / cos(0)) + 98 | 50 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (68 + 2**4) / 6**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. $6**4 = 1296$
3. $68 + 16 = 84$
4. $84 / 1296 = 0.... | (68 + 2**4) / 6**4 | 0.06481481481481481 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (7 / 64) * sec(45). 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. $7 / 64 = 0.109375$
3. $0.109375 *... | (7 / 64) * sec(45) | 0.15467960838455724 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((81 + 29) - 75) - 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $81 + 29 = 110$
2. $110 - 75 = 35$
3. $35 - 25 = 10$
The answe... | ((81 + 29) - 75) - 25 | 10 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(360) / log(26, 3)) - 44) + sec(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $log(26, 3) = 2.965647273044... | ((sec(360) / log(26, 3)) - 44) + sec(180) | -44.66280548294151 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(60) / 26. 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 / 26 = 0.033308669376... | sin(60) / 26 | 0.03330866937632456 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((50 / 12) / 3**2) / 5**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $5**4 = 625$
3. $50 / 12 = 4.166666666666667$
... | ((50 / 12) / 3**2) / 5**4 | 7.797270955165692e-06 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) - tan(45)) / sin(90)) + 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $tan(45) = 0.9999999999999999$
... | ((sqrt(16) - tan(45)) / sin(90)) + 68 | 69.10721073928563 | mixed | 1 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5**4 + csc(30)) / cos(180)) * tan(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $csc(30) = 2.0000000000000004$
... | ((5**4 + csc(30)) / cos(180)) * tan(180) | 7.678535430653905e-14 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((61 - sin(180)) + 66) / sec(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(180) = 1.2246467991473532e-16$
2. $sec(30) = 1.154... | ((61 - sin(180)) + 66) / sec(30) | 2639.6454307349695 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(270) * 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $-1 * 11 = -11$
The answer is $-11$
3. Drafting the r... | sin(270) * 11 | -11 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(37, 5) * 16) - 66. 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 * 16 = 3... | (log(37, 5) * 16) - 66 | -30.102568880753132 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(180) * 82. 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-16 * 82 = 1.00... | sin(180) * 82 | 1.0042103753008296e-14 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(14, 2) + tan(135)) + 15) * sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(14, 2) = 3.8073549220576037$
2. $tan(135)... | ((log(14, 2) + tan(135)) + 15) * sqrt(64) | 1.1396707150116867 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 - 42) * 35) / 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $44 - 42 = 2$
2. $2 * 35 = 70$
3. $70 / 42 = 1.6666666666666667$... | ((44 - 42) * 35) / 42 | 101.66666666666667 | arithmetic | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(60) * 32) * 94) * 14. 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 * 32 = ... | ((tan(60) * 32) * 94) * 14 | 7294.012360834054 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(9) - 92) - 7) * 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $3 - 92 = -89$
3. $-89 - 7 = -96$
4. $-96... | ((sqrt(9) - 92) - 7) * 87 | -2784 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((80 - 49) + 51) / cot(45). 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(24, 5) = 1.97463586870... | ((80 - 49) + 51) / cot(45) | 83.97463586870614 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(120) / 75) - tan(180)) / 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(120) = -2.000000000000001$
2. $tan(180) = -1.2246... | ((sec(120) / 75) - tan(180)) / 87 | 0.4996934865900384 | trig | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (94 * sec(0)) + sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $sin(90) = 1$
3. $94 * 1 = 94$
4. $94 + 1 = ... | (94 * sec(0)) + sin(90) | 95 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 70 - 83. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $70 - 83 = -13$
The answer is $-13$
3. Drafting the response: "Ответ на ваш запр... | 70 - 83 | -13 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(81) + 86) + 28) / cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $cbrt(125) = 4.999999999999999$
3... | ((sqrt(81) + 86) + 28) / cbrt(125) | 30.09185309632968 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (68 + 20) + 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $68 + 20 = 88$
2. $88 + 59 = 147$
The answer is $147$
3. Drafting the r... | (68 + 20) + 59 | 147 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (25 / 66) / 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $25 / 66 = 0.3787878787878788$
2. $0.3787878787878788 / 76 = 0.0049840510... | (25 / 66) / 76 | 0.004984051036682616 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((48 - 80) * log(48, 5)) - 14. 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. $tan(225) = 0.99999999... | ((48 - 80) * log(48, 5)) - 14 | -91.96999765694585 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((98 - cbrt(27)) + 64) + log(35, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $log(35, 5) = 2.2090619551221677$
... | ((98 - cbrt(27)) + 64) + log(35, 5) | 1.6792610620325226 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 - 56) * 94) / 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $92 - 56 = 36$
2. $36 * 94 = 3384$
3. $3384 / 95 = 35.6210526315... | ((92 - 56) * 94) / 95 | -15.378947368421052 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (58 + cos(270)) / log(50, 2). 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(50, 2) = 5.643... | (58 + cos(270)) / log(50, 2) | 10.276661567862359 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 86 * log(37, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(37, 2) = 5.20945336562895$
2. $86 * 5.20945336562895 = 448.01298944... | 86 * log(37, 2) | 448.0129894440897 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (53 / log(17, 5)) / 29. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(17, 5) = 1.7603744277225881$
2. $53 / 1.7603744277225881 = 3... | (53 / log(17, 5)) / 29 | 1.0381803882830292 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) - cbrt(125)) * 34) * 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. $cbrt(125) = 4.999999999999999$
3... | ((sqrt(16) - cbrt(125)) * 34) * 12 | -12.363636363636353 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (43 + sec(120)) + 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(120) = -2.000000000000001$
2. $43 + -2.000000000000001 = 41$
... | (43 + sec(120)) + 17 | 58 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (19 / tan(225)) - log(46, 5). 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. $log(46, 5) = 2.37886865... | (19 / tan(225)) - log(46, 5) | 16.621131348460235 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(135) * log(44, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(135) = -1.0000000000000002$
2. $log(44, 10) = 1.643452676486... | tan(135) * log(44, 10) | -1.6434526764861876 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 36 - 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. $36 - -1.8369701987210297e-16 = 36... | 36 - cos(270) | 36 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 / csc(210)) * cos(60)) * log(34, 3). 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. $cos(60) = ... | ((97 / csc(210)) * cos(60)) * log(34, 3) | -77.83841816080012 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (18 - 40) + 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $18 - 40 = -22$
2. $-22 + 21 = -1$
The answer is $-1$
3. Drafting the r... | (18 - 40) + 21 | -1 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(27, 5) + 48) + 28) / 29. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(27, 5) = 2.047818583457956$
2. $2.047818583457956 + 4... | ((log(27, 5) + 48) + 28) / 29 | 0.04983896461268068 | log | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 92 - tan(135). 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. $92 - -1.0000000000000002 = 93$
The ... | 92 - tan(135) | 93 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((56 * 73) / sqrt(49)) - sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sin(270) = -1$
3. $56 * 73 = 4088... | ((56 * 73) / sqrt(49)) - sin(270) | 585 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 22 - sec(120). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(120) = -2.000000000000001$
2. $22 - -2.000000000000001 = 24$
The an... | 22 - sec(120) | 24 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 23 - log(17, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(17, 2) = 4.08746284125034$
2. $23 - 4.08746284125034 = 18.912537158... | 23 - log(17, 2) | 18.91253715874966 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (59 + 32) + cos(45). 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. $59 + 32 = 91$
3. $91 + 0.707106... | (59 + 32) + cos(45) | 91.70710678118655 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 77 - 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $77 - 32 = 45$
The answer is $45$
3. Drafting the response: "Ответ на ваш запрос... | 77 - 32 | 45 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((93 * 13) / 20) + 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $93 * 13 = 1209$
2. $1209 / 20 = 60.45$
3. $60.45 + 36 = 96.45$
... | ((93 * 13) / 20) + 36 | 96.45 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(19, 2) * 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(19, 2) = 4.247927513443585$
2. $4.247927513443585 * 6 = 25.487565080... | log(19, 2) * 6 | 25.48756508066151 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (65 * 31) - 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $65 * 31 = 2015$
2. $2015 - 11 = 2004$
The answer is $2004$
3. Drafting... | (65 * 31) - 11 | 2004 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (46 - log(2, 10)) - 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(2, 10) = 0.30102999566398114$
2. $46 - 0.30102999566398114 =... | (46 - log(2, 10)) - 52 | -6.301029995663981 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((16 * 46) * 93) - 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $16 * 46 = 736$
2. $736 * 93 = 68448$
3. $68448 - 46 = 68402$
... | ((16 * 46) * 93) - 46 | 7600.222222222223 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 / 34) + cbrt(8)) * 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $cbrt(27) = 3$
3. $75 / 34 = 2.20588235294... | ((75 / 34) + cbrt(8)) * 68 | 289 | power | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) + 7) * 42) * sin(180). 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. $sin(180) = 1.22464679... | ((sin(60) + 7) * 42) * sin(180) | 4.0459031897576796e-14 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 + 25) - 16) / csc(150). 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. $23 + 25 = 48$
3. $48 -... | ((23 + 25) - 16) / csc(150) | 15.999999999999996 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 / 38) + 45) - 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $94 / 38 = 2.473684210526316$
2. $2.473684210526316 + 45 = 47.47368... | ((94 / 38) + 45) - 9 | 38.473684210526315 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) / 64) / 39) - 8. 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. $sin(45) = 0.70710678... | ((cos(270) / 64) / 39) - 8 | -7.292893218813452 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(50, 5) + log(4, 3)) + log(28, 10)) * 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(50, 5) = 2.4306765580733933$
2. $log(... | ((log(50, 5) + log(4, 3)) + log(28, 10)) * 70 | 359.77858675909687 | log | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) * 78) / log(26, 2)) + 29. 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(26, 2) = 4.70... | ((sin(30) * 78) / log(26, 2)) + 29 | 37.297096088581156 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(4) - 65) + 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. $2 - 65 = -63$
3. $-63 + 91 = 28$
The answer is... | (sqrt(4) - 65) + 91 | 28 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((50 / 43) + 2**2) * csc(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $csc(90) = 1$
3. $tan(45) = 0.9999999999999... | ((50 / 43) + 2**2) * csc(90) | 5.162790697674418 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(13, 5) / sin(270)) + cos(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(13, 5) = 1.5936926411670824$
2. $sin(270) = -1$
... | (log(13, 5) / sin(270)) + cos(45) | -0.8865858599805349 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((12 * sqrt(100)) / sin(60)) + 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $sin(60) = 0.8660254037844386$
3... | ((12 * sqrt(100)) / sin(60)) + 72 | 210.5640646055102 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (62 + sin(180)) - 38. 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. $62 + 1.2246467991473532e-16... | (62 + sin(180)) - 38 | 24 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (10 * 52) + 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $10 * 52 = 520$
2. $520 + 16 = 536$
The answer is $536$
3. Drafting the... | (10 * 52) + 16 | 536 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 71 - 4**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $71 - 256 = -185$
The answer is $-185$
3. Drafting the respo... | 71 - 4**4 | -185 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((27 / 2**3) * sin(60)) / 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $sin(60) = 0.8660254037844386$
3. $27 / 8 =... | ((27 / 2**3) * sin(60)) / 60 | 0.048713928962874666 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((56 + cbrt(64)) - cos(180)) + 88. 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. $cos(180) = -1$
3... | ((56 + cbrt(64)) - cos(180)) + 88 | 298 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(10, 10) / 1) * 98) + 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(10, 10) = 1$
2. $1 / 1 = 1$
3. $1 * 98 = 98$
4. $... | ((log(10, 10) / 1) * 98) + 24 | 8540 | log | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 53 / 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $53 / 11 = 4.818181818181818$
The answer is $4.818181818181818$
3. Drafting the ... | 53 / 11 | 4.818181818181818 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 53 / 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $53 / 44 = 1.2045454545454546$
The answer is $1.2045454545454546$
3. Drafting th... | 53 / 44 | 1.2045454545454546 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 + csc(210)) - sin(0)) * sin(180). 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. $sin(0) = 0$
... | ((90 + csc(210)) - sin(0)) * sin(180) | 1.0776891832496709e-14 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 + 90) / 58) - log(2, 2). 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. $log(8, 2) = 3$
3. $95 + 90 = 185$
4... | ((95 + 90) / 58) - log(2, 2) | 6.568965517241379 | log | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (29 * 55) * 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $29 * 55 = 1595$
2. $1595 * 41 = 65395$
The answer is $65395$
3. Drafti... | (29 * 55) * 41 | 65395 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(6, 3) / cot(225)) / 84) - 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 3) = 1.6309297535714573$
2. $cot(225) = 1.000... | ((log(6, 3) / cot(225)) / 84) - 18 | -18.98058416960034 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(8) + log(36, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $log(36, 2) = 5.169925001442312$
3. $2 + 5.16992... | cbrt(8) + log(36, 2) | 7.169925001442312 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (36 - 78) + 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $36 - 78 = -42$
2. $-42 + 72 = 30$
The answer is $30$
3. Drafting the r... | (36 - 78) + 72 | 30 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (53 - 9) * 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $53 - 9 = 44$
2. $44 * 82 = 3608$
The answer is $3608$
3. Drafting the r... | (53 - 9) * 82 | 3608 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(29, 2) + 6**3) * 75) * 5**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(29, 2) = 4.857980995127573$
2. $6**3 = 216$
3. ... | ((log(29, 2) + 6**3) * 75) * 5**3 | 153220224.31536976 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(42, 3) + 32) + 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(42, 3) = 3.4021735027328797$
2. $3.4021735027328797 + 32 = 3... | (log(42, 3) + 32) + 89 | 124.40217350273288 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((50 / cbrt(216)) / sin(45)) / 90. 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(45) = 0.707106... | ((50 / cbrt(216)) / sin(45)) / 90 | 0.16918573039543233 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 * cos(30)) - 25) / 77. 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. $sec(240) = -1.999999999999... | ((53 * cos(30)) - 25) / 77 | -1.7285799168756442 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(360) - cbrt(64)) + 24. 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. $cbrt(64) = 3.9999999... | (tan(360) - cbrt(64)) + 24 | 20 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 * cos(90)) * sqrt(81)) * tan(360). 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. $sqrt(81) = 9... | ((5 * cos(90)) * sqrt(81)) * tan(360) | -3.37445951098918e-30 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((77 / log(20, 5)) * 46) - 42. 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. $cbrt(27) = 3$
3. $... | ((77 / log(20, 5)) * 46) - 42 | 1857.916737976266 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5**4 + 51) + sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $sin(30) = 0.49999999999999994$
3. $625 + 51 = 6... | (5**4 + 51) + sin(30) | 676.5 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 100 / 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $100 / 2 = 50$
The answer is $50$
3. Drafting the response: "Ответ на ваш запрос... | 100 / 2 | 50 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 - cbrt(216)) + 73) / 31. 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. $75 - 5.999999999999999 ... | ((75 - cbrt(216)) + 73) / 31 | 4.580645161290323 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(216) * 32) * 89. 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. $5.999999999999999 * 32 = 191.9... | (cbrt(216) * 32) * 89 | 17087.999999999996 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(360) / 3**4) - cbrt(8). 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. $3**4 = 81$
3. $cb... | (tan(360) / 3**4) - cbrt(8) | -2 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(33, 5) / cos(30)) - 48) / 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(33, 5) = 2.1725022968909635$
2. $cos(30) = 0.866... | ((log(33, 5) / cos(30)) - 48) / 98 | -0.46419806559336574 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (100 * 23) * 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $100 * 23 = 2300$
2. $2300 * 19 = 43700$
The answer is $43700$
3. Draf... | (100 * 23) * 19 | 43700 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(360) / sin(45)) * sec(240)) - 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $sin(45) = 0.7071067811865476$
... | ((sec(360) / sin(45)) * sec(240)) - 32 | -116.82842712474618 | trig | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((99 + sin(360)) - 21) * tan(45). 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(45) = 0.99... | ((99 + sin(360)) - 21) * tan(45) | 76.99999999999999 | trig | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 / 75) - 60) + 30. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $94 / 75 = 1.2533333333333334$
2. $1.2533333333333334 - 60 = -58.7... | ((94 / 75) - 60) + 30 | -28.74666666666667 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 2 + 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2 + 4 = 6$
The answer is $6$
3. Drafting the response: "Ответ на ваш запрос в рад... | 2 + 4 | 6 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((60 + 37) / 63) - 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $60 + 37 = 97$
2. $97 / 63 = 1.5396825396825398$
3. $1.539682539... | ((60 + 37) / 63) - 63 | -61.46031746031746 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(45) * sin(90)) - 26) - sin(30). 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. $sin(90) = 1$
3... | ((cot(45) * sin(90)) - 26) - sin(30) | -25.5 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(9) - 3) / sin(60)) + log(29, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $sin(60) = 0.8660254037844386$
... | ((sqrt(9) - 3) / sin(60)) + log(29, 3) | 0.6130089504221325 | mixed | 3 | 8 |
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