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: 40 - sin(360). 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. $40 - -2.4492935982947064e-16 = 40... | 40 - sin(360) | 40 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(8) * 33) - cot(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $cot(30) = 1.7320508075688774$
3. $2 * 33 = ... | (cbrt(8) * 33) - cot(30) | 64.26794919243112 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(60) / tan(60)) / 4**2. 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. $tan(60) = 1.73205080756887... | (tan(60) / tan(60)) / 4**2 | 0.0625 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(360) + sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $sin(0) = 0$
3. $1 + 0 = 1$
The answer is $1$
3.... | sec(360) + sin(0) | 1 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(315) * log(46, 5)) * 27. 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. $log(46, 5) = 2.3788686... | (tan(315) * log(46, 5)) * 27 | -64.2294535915739 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(15, 10) - 98) - 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(15, 10) = 1.1760912590556811$
2. $1.1760912590556811 - 98 =... | (log(15, 10) - 98) - 47 | -143.82390874094432 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(225) / log(26, 2)) + 4**3. 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(26, 2) = 4.700439... | (tan(225) / log(26, 2)) + 4**3 | 64.21274605355336 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((11 + 5) + sqrt(25)) * sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $sin(360) = -2.4492935982947064e-16$
... | ((11 + 5) + sqrt(25)) * sin(360) | -5.143516556418883e-15 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(46, 10) + 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(46, 10) = 1.6627578316815739$
2. $1.6627578316815739 + 51 = 52.662... | log(46, 10) + 51 | 52.662757831681574 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 + 90) / 12) - 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $37 + 90 = 127$
2. $127 / 12 = 10.583333333333334$
3. $10.583333... | ((37 + 90) / 12) - 66 | 23.583333333333336 | arithmetic | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 100 / 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $100 / 45 = 2.2222222222222223$
The answer is $2.2222222222222223$
3. Drafting ... | 100 / 45 | 2.2222222222222223 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (53 + 95) - 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $53 + 95 = 148$
2. $148 - 93 = 55$
The answer is $55$
3. Drafting the r... | (53 + 95) - 93 | 55 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) / 21) / 21) + 1. 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-1... | ((sin(180) / 21) / 21) + 1 | 0.02040816326530612 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(45) - 67) * sin(0). 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. $sin(0) = 0$
3. $1.000000000... | (cot(45) - 67) * sin(0) | 0 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 64 * 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. $64 * -1.8369701987210297e-16 = -1... | 64 * cos(270) | -1.175660927181459e-14 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((45 + sin(45)) + 49) + 71. 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. $45 + 0.7071067811865476 = ... | ((45 + sin(45)) + 49) + 71 | 165.70710678118655 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 + sin(0)) + sin(180)) / sec(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $sin(180) = 1.2246467991473532e-16$... | ((13 + sin(0)) + sin(180)) / sec(60) | -9.499999999999998 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 / 73) - sqrt(25)) / 78. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $85 / 73 = 1.1643835616438356$
3. $1.164... | ((85 / 73) - sqrt(25)) / 78 | -0.04917456972251493 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(180) / 4**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. $4**3 = 64$
3. $1.2246467991473... | sin(180) / 4**3 | 1.9135106236677394e-18 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) / sec(45)) * 6) / 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sec(45) = 1.414213562373095$
3. $4 ... | ((sqrt(16) / sec(45)) * 6) / 11 | 63.54277843167974 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((100 + 25) - cos(360)) / csc(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $csc(60) = 1.1547005383792517$
3. ... | ((100 + 25) - cos(360)) / csc(60) | 107.38715006927038 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((49 / 96) + 32) / 58. 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. $49 / 96 = 0.5104166666666... | ((49 / 96) + 32) / 58 | -1.372888886544141e-16 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(25) / 83) / 6**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $6**3 = 216$
3. $5 / 83 = 0.06024096385542168... | (sqrt(25) / 83) / 6**3 | 0.0002788933511825078 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(40, 5) + 1) + cbrt(216)) * 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(40, 5) = 2.292029674220179$
2. $cbrt(216) = 5.9... | ((log(40, 5) + 1) + cbrt(216)) * 42 | 6244.24394107596 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 / cos(180)) - 19) * 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $69 / -1 = -69$
3. $-69 - 19 = -88$
4... | ((69 / cos(180)) - 19) * 97 | -8536 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((100 + 96) + 15) + tan(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $100 + 96 = 196$
3. $196 + 15 = 211$
4. $... | ((100 + 96) + 15) + tan(0) | 2.1979166666666665 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 - cos(270)) / 11) / 70. 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. $13 - -1.83697019872... | ((13 - cos(270)) / 11) / 70 | 0.016883116883116885 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(360) + 90) - 22) + 27. 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. $-2.4492935982947064... | ((sin(360) + 90) - 22) + 27 | 95 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(135) / sin(270)) / 14. 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. $sin(270) = -1$
3. $-0.... | (cot(135) / sin(270)) / 14 | 0.07142857142857141 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 - cos(0)) * 37) + log(26, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $log(26, 3) = 2.96564727304425$
3. $... | ((44 - cos(0)) * 37) + log(26, 3) | 1593.9656472730442 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((17 / 2**2) + 6**4) + 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $6**4 = 1296$
3. $17 / 4 = 4.25$
4. $4.25 + ... | ((17 / 2**2) + 6**4) + 67 | 1367.25 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) + 5**3) * 77) * sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $5**3 = 125$
3. $sqrt(81) = 9$
... | ((sqrt(64) + 5**3) * 77) * sqrt(81) | 92258 | power | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(225) * cos(360)) + cbrt(27)) * 5**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(225) = 1.0000000000000004$
2. $cos(360) =... | ((cot(225) * cos(360)) + cbrt(27)) * 5**4 | 2500 | mixed | 3 | 9 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 + 95) + 35) * log(18, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(18, 5) = 1.7958889470453636$
2. $cbrt(216) = 5.999999... | ((68 + 95) + 35) * log(18, 5) | 349.586011514982 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(60) - 64) / 22. 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 - 64 = -63.133... | (sin(60) - 64) / 22 | -2.869726118009798 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(270) * 20) - 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. $-1 * 20 = -20$
3. $-20 - 47 = -67$
The answ... | (csc(270) * 20) - 47 | -67 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) * 77) * sin(0)) / 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $sin(0) = 0$
3. $2 * 77 = 154$
4. $1... | ((cbrt(8) * 77) * sin(0)) / 67 | 0 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (73 + log(23, 2)) * sqrt(16). 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. $sqrt(16) = 4$
3. $73... | (73 + log(23, 2)) * sqrt(16) | 310.09424782422803 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 + 33) + sin(60)) / tan(225). 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. $tan(225) = 0.9999999... | ((90 + 33) + sin(60)) / tan(225) | 8175.157676649776 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((35 - sqrt(16)) + 89) - 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $35 - 4 = 31$
3. $31 + 89 = 120$
4. $12... | ((35 - sqrt(16)) + 89) - 2 | 118 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((1 - tan(135)) - 4**3) + sqrt(36). 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. $4**3 = 64$
3. ... | ((1 - tan(135)) - 4**3) + sqrt(36) | -56 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(60) / 28) + 90) - 45. 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 / 28 = ... | ((tan(60) / 28) + 90) - 45 | 0.6827554387486845 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4 / 38) * 68) / 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4 / 38 = 0.10526315789473684$
2. $0.10526315789473684 * 68 = 7.157... | ((4 / 38) * 68) / 65 | 0.001508513116299706 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(60) / cos(45)) + 40) + 48. 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. $cos(45) = 0.707106781... | ((csc(60) / cos(45)) + 40) + 48 | 90.33196316619147 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(27) * 39) + 83) / 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $3 * 39 = 117$
3. $117 + 83 = 200$
4. ... | ((cbrt(27) * 39) + 83) / 47 | 4.25531914893617 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((61 + 51) - 24) - 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. $cos(30) = 0.86602540378443... | ((61 + 51) - 24) - csc(60) | 85.97927405783632 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(125) - log(46, 10)) - sqrt(4). 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(46, 10) = 1.... | (cbrt(125) - log(46, 10)) - sqrt(4) | 1.3372421683184252 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 / 16) * 5**4) / 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $46 / 16 = 2.875$
3. $2.875 * 625 = 1796.875$
... | ((46 / 16) * 5**4) / 37 | 48.564189189189186 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 43 / 5**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $43 / 125 = 0.344$
The answer is $0.344$
3. Drafting the res... | 43 / 5**3 | 0.344 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(4) / 6) + 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $2 / 6 = 0.3333333333333333$
3. $0.333333333333333... | (sqrt(4) / 6) + 84 | 84.33333333333333 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (52 - 48) / 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $52 - 48 = 4$
2. $4 / 84 = 0.047619047619047616$
The answer is $0.04761... | (52 - 48) / 84 | 0.047619047619047616 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(11, 3) * 41) - log(50, 5)) + 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(11, 3) = 2.182658338644138$
2. $log(50, 5) = ... | ((log(11, 3) * 41) - log(50, 5)) + 37 | 124.05831532633627 | log | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) / log(9, 5)) - cos(0)) - 97. 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. $log(9, 5) = ... | ((cos(90) / log(9, 5)) - cos(0)) - 97 | -98 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (46 + 21) + cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $46 + 21 = 67$
3. $67 + -1 = 66$
The answer ... | (46 + 21) + cos(180) | 66 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(216) * 69. 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 * 69 = 413.99999999... | cbrt(216) * 69 | 413.99999999999994 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (90 - 66) / 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. $90 - 66 = 24$
3. $24 / 4.08... | (90 - 66) / log(17, 2) | 5.871613010837424 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(47, 10) * 81) * 12) / 4**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(47, 10) = 1.6720978579357173$
2. $4**2 = 16$
3. ... | ((log(47, 10) * 81) * 12) / 4**2 | 19.218962089031177 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((45 - 85) + 39) - 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. $45 - 85 = -40$
3. $-40 + 39 = -1$
4.... | ((45 - 85) + 39) - sin(270) | 0 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(270) + 3**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $3**2 = 9$
3. $-1 + 9 = 8$
The answer is $8$
3. D... | sin(270) + 3**2 | 8 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (35 * 5**2) - 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $35 * 25 = 875$
3. $875 - 59 = 816$
The answer is $8... | (35 * 5**2) - 59 | 816 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 50 * 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $50 * 84 = 4200$
The answer is $4200$
3. Drafting the response: "Ответ на ваш за... | 50 * 84 | 4200 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 - 33) * 23) * 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $97 - 33 = 64$
2. $64 * 23 = 1472$
3. $1472 * 63 = 92736$
4. $... | ((97 - 33) * 23) * 63 | 3987648 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (19 + 61) / 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $19 + 61 = 80$
2. $80 / 25 = 3.2$
The answer is $3.2$
3. Drafting the r... | (19 + 61) / 25 | 3.2 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(45) + sqrt(81). 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. $sqrt(81) = 9$
3. $0.707106781186... | sin(45) + sqrt(81) | 9.707106781186548 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(45) - 75) - cos(90)) + sqrt(16). 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. $cos(90) = 6.123... | ((cos(45) - 75) - cos(90)) + sqrt(16) | -99.40916292848974 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(45) + log(3, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(45) = 0.9999999999999999$
2. $log(3, 5) = 0.6826061944859854$
... | tan(45) + log(3, 5) | 1.6826061944859854 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (7 + 73) * 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $7 + 73 = 80$
2. $80 * 65 = 5200$
The answer is $5200$
3. Drafting the r... | (7 + 73) * 65 | 5200 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(48, 5) - 89) + 44. 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. $2.405312426779558 - 89 = -86... | (log(48, 5) - 89) + 44 | -42.59468757322044 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 2 + 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2 + 2 = 4$
The answer is $4$
3. Drafting the response: "Ответ на ваш запрос в рад... | 2 + 2 | 4 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((59 - 73) - 13) / 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $59 - 73 = -14$
2. $-14 - 13 = -27$
3. $-27 / 7 = -3.857142857142... | ((59 - 73) - 13) / 7 | -3.857142857142857 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(180) + 27) - 10) * 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $-1 + 27 = 26$
3. $26 - 10 = 16$
4. $... | ((cos(180) + 27) - 10) * 48 | 69.81818181818181 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((62 + csc(45)) / 15) - 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(45) = 1.414213562373095$
2. $62 + 1.414213562373095 = 63.... | ((62 + csc(45)) / 15) - 5 | -0.7723857625084607 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(180) - 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $-1 - 32 = -33$
The answer is $-33$
3. Drafting the r... | cos(180) - 32 | -33 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 + sqrt(4)) / 22) * 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $5 + 2 = 7$
3. $7 / 22 = 0.3181818181818182... | ((5 + sqrt(4)) / 22) * 34 | 10.818181818181818 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(31, 10) / 76) / cbrt(27)) - sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(31, 10) = 1.4913616938342726$
2. $cbrt(27... | ((log(31, 10) / 76) / cbrt(27)) - sqrt(9) | -287.37205823417503 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(60) * tan(225). 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. $tan(225) = 0.9999999999999997$
3... | tan(60) * tan(225) | 1.732050807568876 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) - 79) / sqrt(81)) - cos(90). 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. $sqrt(81)... | ((cos(270) - 79) / sqrt(81)) - cos(90) | -9.777777777777779 | mixed | 1 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((93 / 85) / 2) - sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $93 / 85 = 1.0941176470588236$
3. $1.094117... | ((93 / 85) / 2) - sqrt(4) | -1.4529411764705882 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 / 8) + sqrt(16)) + 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $84 / 8 = 10.5$
3. $10.5 + 4 = 14.5$
4.... | ((84 / 8) + sqrt(16)) + 33 | 47.5 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (15 + 39) - 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $15 + 39 = 54$
2. $54 - 36 = 18$
The answer is $18$
3. Drafting the res... | (15 + 39) - 36 | 18 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(270) / cos(30)) * 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. $cos(30) = 0.866... | (cos(270) / cos(30)) * cos(270) | 3.896490214078191e-32 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(30) - log(43, 2). 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. $log(43, 2) = 5.426264754702098$... | sin(30) - log(43, 2) | -4.926264754702098 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 43 + 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $43 + 5 = 48$
The answer is $48$
3. Drafting the response: "Ответ на ваш запрос в... | 43 + 5 | 48 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(6, 5) / sqrt(64)) * 19) - log(17, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 5) = 1.1132827525593785$
2. $sqrt(64)... | ((log(6, 5) / sqrt(64)) * 19) - log(17, 2) | -1.4434163039218162 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(315) - 28) / 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(315) = -0.9999999999999996$
2. $-0.9999999999999996 - 28 = -29... | (cot(315) - 28) / 65 | -0.4461538461538462 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 + tan(135)) * 12) * 19. 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. $68 + -1.000000000000000... | ((68 + tan(135)) * 12) * 19 | 15276 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(225) - 2**3) * 74) / sec(0). 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. $2**3 = 8$
3. $se... | ((tan(225) - 2**3) * 74) / sec(0) | 518 | mixed | 1 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 61 - 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. $61 - 5 = 56$
The answer is $56$
3. Drafting the respo... | 61 - sqrt(25) | 56 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 - log(21, 10)) + log(2, 3)) + 32. 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. $log(2, 3) = ... | ((90 - log(21, 10)) + log(2, 3)) + 32 | 121.30871045883754 | log | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(0) * 45) / sec(30)) * 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $sec(30) = 1.1547005383792515$
3. $0 * ... | ((sin(0) * 45) / sec(30)) * 10 | 0 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(3, 10) * 55) + tan(45)) * 3**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(3, 10) = 0.47712125471966244$
2. $tan(45) = 0.... | ((log(3, 10) * 55) + tan(45)) * 3**2 | 346.7298399752601 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((99 / 82) - 4) + 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. $99 / 82 = 1.2073170731707317$
3. $1.20731707317... | ((99 / 82) - 4) + 2**4 | 13.207317073170731 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 52 / sqrt(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. $52 / 8 = 6.5$
The answer is $6.5$
3. Drafting the res... | 52 / sqrt(64) | 6.5 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (76 / 62) + 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $76 / 62 = 1.2258064516129032$
2. $1.2258064516129032 + 15 = 16.225806451... | (76 / 62) + 15 | 16.225806451612904 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(0) * cbrt(8)) - 88) * 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $cbrt(8) = 2$
3. $0 * 2 = 0$
4. $0 - ... | ((sin(0) * cbrt(8)) - 88) * 51 | -4488 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(210) * 36) / 4**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. $4**3 = 64$
3. $-1.99999999... | (csc(210) * 36) / 4**3 | -1.1249999999999998 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(360) - 73) * 90) / sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $sqrt(64) = 8$
3. $1 - 73 = -72$
... | ((sec(360) - 73) * 90) / sqrt(64) | -810 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(64) + 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $8 + 61 = 69$
The answer is $69$
3. Drafting the respo... | sqrt(64) + 61 | 69 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 / sqrt(49)) - cos(180)) / cos(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $cos(180) = -1$
3. $cos(45) =... | ((94 / sqrt(49)) - cos(180)) / cos(45) | 20.405081399954657 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((42 + 52) + sqrt(4)) / 90. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $42 + 52 = 94$
3. $94 + 2 = 96$
4. $96 /... | ((42 + 52) + sqrt(4)) / 90 | 1.0666666666666667 | power | 5 | 4 |
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