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: (tan(135) * 19) * 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(135) = -1.0000000000000002$
2. $-1.0000000000000002 * 19 = -19... | (tan(135) * 19) * 40 | -760.0000000000001 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 85 + cos(90). 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. $85 + 6.123233995736766e-17 = 85$
Th... | 85 + cos(90) | 85 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(60) - 65) * sqrt(16)) * 22. 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. $sqrt(16) = 4$
3. $... | ((cos(60) - 65) * sqrt(16)) * 22 | -123.3913043478261 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 77 + 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $77 + 9 = 86$
The answer is $86$
3. Drafting the response: "Ответ на ваш запрос в... | 77 + 9 | 86 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (57 / sin(90)) + 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $57 / 1 = 57$
3. $57 + 43 = 100$
The answer is ... | (57 / sin(90)) + 43 | 100 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(30) + sqrt(36)) - 15) / cbrt(125). 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. $sqrt(36) = 6$... | ((cos(30) + sqrt(36)) - 15) / cbrt(125) | -1.6267949192431128 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (55 / 19) / 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $55 / 19 = 2.8947368421052633$
2. $2.8947368421052633 / 40 = 0.0723684210... | (55 / 19) / 40 | 0.07236842105263158 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 79 - cos(30). 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. $79 - 0.8660254037844387 = 78.13397459621... | 79 - cos(30) | 78.13397459621557 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(0) * 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $1 * 48 = 48$
The answer is $48$
3. Drafting the response:... | sec(0) * 48 | 48 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) * 84) + 59) * sin(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $sin(180) = 1.2246467991473532e-16$
... | ((sqrt(25) * 84) + 59) * sin(180) | 5.866058167915822e-14 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(16) - tan(180)) * 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $tan(180) = -1.2246467991473532e-16$
3. $... | (sqrt(16) - tan(180)) * 81 | 324 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((72 + 61) - 20) - sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $72 + 61 = 133$
3. $133 - 20 = 113$
4. $11... | ((72 + 61) - 20) - sin(0) | 113 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(180) * 21) / 94. 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 * 21... | (sin(180) * 21) / 94 | 2.7359130619249378e-17 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((1 / log(48, 2)) * 83) - 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(48, 2) = 5.584962500721157$
2. $1 / 5.584962500721157 =... | ((1 / log(48, 2)) * 83) - 9 | 101.86133523533643 | log | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((14 + 5**4) * 77) / 5**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $5**2 = 25$
3. $4**3 = 64$
4. $14 + 625 = ... | ((14 + 5**4) * 77) / 5**2 | 2032.12 | power | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (55 * 99) - log(35, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(35, 5) = 2.2090619551221677$
2. $55 * 99 = 5445$
3. $5445 ... | (55 * 99) - log(35, 5) | 5442.790938044878 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((52 * 52) / 49) / 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $52 * 52 = 2704$
2. $2704 / 49 = 55.183673469387756$
3. $55.1836... | ((52 * 52) / 49) / 73 | 0.009107719668161042 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(240) - 41) * 84) * log(22, 10). 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(22, 10) = ... | ((sec(240) - 41) * 84) * log(22, 10) | -4847.9646977260245 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) - cos(30)) * 47) + 71. 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. $cos(30) = 0.866025... | ((tan(315) - cos(30)) * 47) + 71 | -734.9405350262207 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(210) * 86) / 73) * 17. 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. $-1.9999999999999996 * 8... | ((csc(210) * 86) / 73) * 17 | 25.945205479452063 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 + 27) * 100) - 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $9 + 27 = 36$
2. $36 * 100 = 3600$
3. $3600 - 2 = 3598$
The ans... | ((9 + 27) * 100) - 2 | 3598 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(64) / sqrt(49)) / 55) - 47. 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. $sqrt(49) = 7$
3.... | ((cbrt(64) / sqrt(49)) / 55) - 47 | -47.69671717079694 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2**2 * 60) - 49) + log(36, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $log(36, 10) = 1.556302500767287$
3. $4... | ((2**2 * 60) - 49) + log(36, 10) | 7317.139495029157 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((57 * csc(90)) - 35) - cot(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $cot(30) = 1.7320508075688774$
3. $57... | ((57 * csc(90)) - 35) - cot(30) | 20.26794919243112 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 - 30) + log(30, 5)) - 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(30, 5) = 2.1132827525593787$
2. $cbrt(64) = 3.99999999... | ((9 - 30) + log(30, 5)) - 54 | -68.88671724744063 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 29 + 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $29 + 15 = 44$
The answer is $44$
3. Drafting the response: "Ответ на ваш запрос... | 29 + 15 | 44 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (39 - sec(240)) / 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. $cos(0) = 1$
3. $39 - -1.... | (39 - sec(240)) / cos(0) | 41 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 65 * 29. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $65 * 29 = 1885$
The answer is $1885$
3. Drafting the response: "Ответ на ваш за... | 65 * 29 | 1885 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (82 + cos(360)) - 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $82 + 1 = 83$
3. $83 - 40 = 43$
The answer is... | (82 + cos(360)) - 40 | 43 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(125) * sqrt(64)) * cbrt(64)) - 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(125) = 4.999999999999999$
2. $sqrt(64) = ... | ((cbrt(125) * sqrt(64)) * cbrt(64)) - 87 | 2.7037037037037015 | power | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(18, 3) + 85) - sin(180)) / log(8, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(18, 3) = 2.630929753571457$
2. $sin(180... | ((log(18, 3) + 85) - sin(180)) / log(8, 10) | 97.03454917649664 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((12 * cot(90)) / 56) / 3. 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. $12 * 6.123233995736766e-... | ((12 * cot(90)) / 56) / 3 | 4.373738568383404e-18 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(60) * 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(60) = 1.9999999999999996$
2. $1.9999999999999996 * 10 = 19.99999999999... | sec(60) * 10 | 19.999999999999996 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (25 - 56) * cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(125) = 4.999999999999999$
2. $25 - 56 = -31$
3. $-31 * 4.9... | (25 - 56) * cbrt(125) | -154.99999999999997 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((87 / 73) * tan(30)) / 11. 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. $87 / 73 = 1.19178082191780... | ((87 / 73) * tan(30)) / 11 | 0.06255227075902546 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(64) * cot(315). 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. $cot(315) = -0.9999999999999996$
... | cbrt(64) * cot(315) | -3.999999999999998 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 / 79) / log(21, 10)) + 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(21, 10) = 1.322219294733919$
2. $68 / 79 = 0.8607594... | ((68 / 79) / log(21, 10)) + 92 | 161.65099601639386 | log | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((54 / 10) - 1) - 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $54 / 10 = 5.4$
2. $5.4 - 1 = 4.4$
3. $4.4 - 34 = -29.6$
The an... | ((54 / 10) - 1) - 34 | -29.6 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(90) / 6) / sin(60)) - tan(0). 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. $sin(60) = 0.866... | ((cot(90) / 6) / sin(60)) - tan(0) | 2.805754599801341e-19 | trig | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 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. $5.99999999999... | cbrt(216) - cbrt(8) | 3.999999999999999 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (60 * sin(270)) + sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $sqrt(9) = 3$
3. $60 * -1 = -60$
4. $-6... | (60 * sin(270)) + sqrt(9) | -57 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3**3 + 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $27 + 24 = 51$
The answer is $51$
3. Drafting the response: "... | 3**3 + 24 | 51 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 38 / cot(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(30) = 1.7320508075688774$
2. $38 / 1.7320508075688774 = 21.93931022920... | 38 / cot(30) | 21.939310229205777 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (53 - 63) + 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $53 - 63 = -10$
2. $-10 + 79 = 69$
The answer is $69$
3. Drafting the r... | (53 - 63) + 79 | 69 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(45) * cbrt(216)) + 87. 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. $cbrt(216) = 5.999999999999... | (sin(45) * cbrt(216)) + 87 | 91.24264068711929 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(8) / 50) + cot(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $cot(225) = 1.0000000000000004$
3. $2 / 50 ... | (cbrt(8) / 50) + cot(225) | 1.0400000000000005 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(23, 2) / log(35, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(23, 2) = 4.523561956057013$
2. $log(35, 5) = 2.209061955122... | log(23, 2) / log(35, 5) | 2.0477297821223157 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 27 * 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $27 * 39 = 1053$
The answer is $1053$
3. Drafting the response: "Ответ на ваш за... | 27 * 39 | 1053 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (81 + sec(30)) * 75. 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. $81 + 1.1547005383792515 = 82.1547... | (81 + sec(30)) * 75 | 6161.602540378443 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 70 + 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $70 + 47 = 117$
The answer is $117$
3. Drafting the response: "Ответ на ваш запр... | 70 + 47 | 117 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) + 17) - 40) * 9. 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. $6.123233995736766e-17 + ... | ((cos(90) + 17) - 40) * 9 | -207 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 100 - 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $100 - 76 = 24$
The answer is $24$
3. Drafting the response: "Ответ на ваш запр... | 100 - 76 | 24 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(48, 2) + sin(180)) - 97) + 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(48, 2) = 5.584962500721157$
2. $sin(180) = 1.22... | ((log(48, 2) + sin(180)) - 97) + 86 | 38.58496250072116 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) / log(3, 3)) * log(4, 2)) * log(19, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $log(3, 3) = 1$
3.... | ((sqrt(16) / log(3, 3)) * log(4, 2)) * log(19, 5) | 14.635862403481203 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 + 88) * cos(60)) + sec(360). 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. $sec(360) = 1$
3. $... | ((21 + 88) * cos(60)) + sec(360) | 55.500000000000014 | trig | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(360) - 33. 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. $-2.4492935982947064e-16 - 33 = -3... | tan(360) - 33 | -33 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**4 * 6) * log(16, 2)) - 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $log(16, 2) = 4$
3. $1296 * 6 = 7776$
... | ((6**4 * 6) * log(16, 2)) - 17 | 31135 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((28 + log(9, 5)) + log(12, 3)) * 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(9, 5) = 1.3652123889719707$
2. $log(12, 3) = 2... | ((28 + log(9, 5)) + log(12, 3)) * 15 | 343.71990613075303 | log | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(30) * 58) + tan(315)) / log(8, 2). 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. $tan(315) = -1... | ((tan(30) * 58) + tan(315)) / log(8, 2) | 10.82877187099943 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(4, 2) + sin(360)) / cot(60)) - 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(4, 2) = 2$
2. $sin(360) = -2.44929359829470... | ((log(4, 2) + sin(360)) / cot(60)) - 25 | -21.535898384862247 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (86 / 44) / 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $86 / 44 = 1.9545454545454546$
2. $1.9545454545454546 / 60 = 0.0325757575... | (86 / 44) / 60 | 0.03257575757575758 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(40, 3) * 90) + 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(40, 3) = 3.357762781432299$
2. $3.357762781432299 * 90 = 302... | (log(40, 3) * 90) + 60 | 362.1986503289069 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((65 - tan(30)) * sec(0)) - tan(0). 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. $sec(0) = 1$
3. $... | ((65 - tan(30)) * sec(0)) - tan(0) | 64.42264973081038 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(4) * cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $cbrt(125) = 4.999999999999999$
3. $2 * 4.9999999... | sqrt(4) * cbrt(125) | 9.999999999999998 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (35 / 42) * 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $35 / 42 = 0.8333333333333334$
2. $0.8333333333333334 * 94 = 78.333333333... | (35 / 42) * 94 | 78.33333333333334 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 29 - cot(90). 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. $29 - 6.123233995736766e-17 = 29$
Th... | 29 - cot(90) | 29 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 37 / 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $37 / 59 = 0.6271186440677966$
The answer is $0.6271186440677966$
3. Drafting th... | 37 / 59 | 0.6271186440677966 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((89 / 73) * log(39, 2)) - tan(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(39, 2) = 5.285402218862249$
2. $tan(45) = 0.9999... | ((89 / 73) * log(39, 2)) - tan(45) | 5.4438465408046595 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (45 + csc(30)) + tan(315). 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. $tan(315) = -1.0000000000000... | (45 + csc(30)) + tan(315) | 46 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 5 / 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5 / 97 = 0.05154639175257732$
The answer is $0.05154639175257732$
3. Drafting th... | 5 / 97 | 0.05154639175257732 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 41 / 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $41 / 79 = 0.5189873417721519$
The answer is $0.5189873417721519$
3. Drafting th... | 41 / 79 | 0.5189873417721519 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3 * 61) - 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. $3 * 61 = 183$
3. $183 - 1.4142135... | (3 * 61) - sec(45) | 181.5857864376269 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((99 * log(33, 3)) * 13) - 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(33, 3) = 3.1826583386441376$
2. $99 * 3.1826583386441... | ((99 * log(33, 3)) * 13) - 56 | 103.5918277393591 | log | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((81 + 12) * sqrt(36)) - 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $81 + 12 = 93$
3. $93 * 6 = 558$
4. $5... | ((81 + 12) * sqrt(36)) - 23 | 615 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((60 - tan(315)) + 16) - cbrt(64). 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. $cbrt(64) = 3.9999... | ((60 - tan(315)) + 16) - cbrt(64) | 71 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(0) / cot(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $cot(135) = -0.9999999999999998$
3. $0 / -0.99999999... | sin(0) / cot(135) | 0 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(23, 5) * 69) - 14) + 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(23, 5) = 1.9481920934663797$
2. $1.9481920934663797 *... | ((log(23, 5) * 69) - 14) + 34 | 1853.1030533901621 | log | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 40 * sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $40 * 5 = 200$
The answer is $200$
3. Drafting the res... | 40 * sqrt(25) | 200 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(180) - 19) * sec(180)) - 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(180) = -1.2246467991473532e-16$
2. $sec(180) = -1$... | ((tan(180) - 19) * sec(180)) - 9 | 10 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 85 * 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. $85 * -1 = -85$
The answer is $-85$
3. Drafting the r... | 85 * sin(270) | -85 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (88 * 45) / 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $88 * 45 = 3960$
2. $3960 / 58 = 68.27586206896552$
The answer is $68.2... | (88 * 45) / 58 | 68.27586206896552 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 96 * log(49, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(49, 3) = 3.5424874983228443$
2. $96 * 3.5424874983228443 = 340.0787... | 96 * log(49, 3) | 340.07879983899306 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((35 * 35) + cos(45)) - log(2, 3). 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. $log(2, 3) = 0.63092... | ((35 * 35) + cos(45)) - log(2, 3) | -1225.076177027615 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (39 * 3) - 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $39 * 3 = 117$
2. $117 - 38 = 79$
The answer is $79$
3. Drafting the res... | (39 * 3) - 38 | 79 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 - 82) * log(7, 2)) / 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(7, 2) = 2.807354922057604$
2. $41 - 82 = -41$
3. $-41... | ((41 - 82) * log(7, 2)) / 7 | -16.44307882919454 | log | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(90) - 77) - 1) * 4. 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 - 7... | ((cot(90) - 77) - 1) * 4 | -312 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((51 - sqrt(9)) - 37) + 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. $cos(360) = 1$
3. $51 - 3 = 48$
4. $48 -... | ((51 - sqrt(9)) - 37) + 81 | 92 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (85 * 60) / 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $85 * 60 = 5100$
2. $5100 / 55 = 92.72727272727273$
The answer is $92.7... | (85 * 60) / 55 | 92.72727272727273 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (8 + 20) / 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. $8 + 20 = 28$
3. $28 / -1.0000... | (8 + 20) / tan(315) | -27.99999999999999 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(125) / sin(45)) - 88. 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. $sin(45) = 0.7071067811865... | (cbrt(125) / sin(45)) - 88 | -80.92893218813452 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 45 * 90. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $45 * 90 = 4050$
The answer is $4050$
3. Drafting the response: "Ответ на ваш за... | 45 * 90 | 4050 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 * log(21, 2)) - 94) / 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(21, 2) = 4.392317422778761$
2. $13 * 4.39231742277876... | ((13 * log(21, 2)) - 94) / 14 | -2.6357052502768648 | log | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(36) - 32) / 30) / csc(150). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $csc(150) = 2.0000000000000004$
3.... | ((sqrt(36) - 32) / 30) / csc(150) | -47.43333333333333 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(5, 10) - 93) * tan(0)) * 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(5, 10) = 0.6989700043360187$
2. $tan(0) = 0$
3.... | ((log(5, 10) - 93) * tan(0)) * 57 | 0 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((74 - 5**2) / 72) + 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $74 - 25 = 49$
3. $49 / 72 = 0.6805555555555556... | ((74 - 5**2) / 72) + 72 | 72.68055555555556 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(90) + cos(90)) * 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $cos(90) = 6.123233995736766e-17$
3. $1 + 6.... | (sin(90) + cos(90)) * 89 | 89 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (82 / 18) - 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $82 / 18 = 4.555555555555555$
2. $4.555555555555555 - 95 = -90.4444444444... | (82 / 18) - 95 | -90.44444444444444 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((50 * sec(120)) / cos(45)) - 74. 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. $cos(45) = 0.7071067... | ((50 * sec(120)) / cos(45)) - 74 | -215.42135623730957 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(44, 10) + sqrt(36)) + sqrt(16)) * 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(44, 10) = 1.6434526764861872$
2. $sqrt(3... | ((log(44, 10) + sqrt(36)) + sqrt(16)) * 64 | 745.180971295116 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 + tan(60)) / 38) + sqrt(81). 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. $sqrt(81) = 9$
3. $... | ((22 + tan(60)) / 38) + sqrt(81) | 9.62452765283076 | mixed | 3 | 5 |
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