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: ((41 * 4) / 2) - tan(45). 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. $41 * 4 = 164$
3. $164 / 2 ... | ((41 * 4) / 2) - tan(45) | 81 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(60) - 59) / log(32, 2)) - 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(60) = 0.577350269189626$
2. $log(32, 2) = 5$
3... | ((cot(60) - 59) / log(32, 2)) - 46 | -57.68452994616207 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(315) * csc(150)) / csc(90). 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. $csc(150) = 2.000000... | (tan(315) * csc(150)) / csc(90) | -2.0000000000000013 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (51 - 59) - cot(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(60) = 0.577350269189626$
2. $51 - 59 = -8$
3. $-8 - 0.5773502... | (51 - 59) - cot(60) | -8.577350269189626 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 / 94) + sec(60)) + cos(45). 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. $cos(45) = 0.707106781... | ((34 / 94) + sec(60)) + cos(45) | 248.57352161653586 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 * sqrt(64)) + 17) + cot(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $cot(30) = 1.7320508075688774$
3. $... | ((44 * sqrt(64)) + 17) + cot(30) | 32253.688420258495 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(64) + sec(30)) * cos(270)) + 43. 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. $sec(30) = 1.1... | ((cbrt(64) + sec(30)) * cos(270)) + 43 | -54 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 - 56) - sqrt(25)) / 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $log(26, 10) = 1.414973347970818$
3. $96... | ((96 - 56) - sqrt(25)) / 16 | 3.602473347970818 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6**4 / 19) / 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $1296 / 19 = 68.21052631578948$
3. $68.2105263157894... | (6**4 / 19) / 75 | 0.9094736842105264 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(180) * 77) + cos(180). 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. $cos(180) = -1$
3. $... | (sin(180) * 77) + cos(180) | -0.9999999999999906 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 33 + 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $33 + 18 = 51$
The answer is $51$
3. Drafting the response: "Ответ на ваш запрос... | 33 + 18 | 51 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((15 - log(33, 10)) + 70) * 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(33, 10) = 1.5185139398778873$
2. $cbrt(64) = 3.99999... | ((15 - log(33, 10)) + 70) * 19 | 396.5370587855801 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((93 - 79) * log(36, 3)) * cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(36, 3) = 3.2618595071429146$
2. $cos(180) = -1$... | ((93 - 79) * log(36, 3)) * cos(180) | -1.9854797000000348 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((62 + 2) * sqrt(81)) - cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $cos(180) = -1$
3. $62 + 2 = 64$
... | ((62 + 2) * sqrt(81)) - cos(180) | 577 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 86 + 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $86 + 59 = 145$
The answer is $145$
3. Drafting the response: "Ответ на ваш запр... | 86 + 59 | 145 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 6**2 + 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $36 + 74 = 110$
The answer is $110$
3. Drafting the response:... | 6**2 + 74 | 110 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 * 8) + 30) * 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $70 * 8 = 560$
2. $560 + 30 = 590$
3. $590 * 7 = 4130$
The answe... | ((70 * 8) + 30) * 7 | 4130 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 85 - 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $85 - 21 = 64$
The answer is $64$
3. Drafting the response: "Ответ на ваш запрос... | 85 - 21 | 64 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 80 / 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $80 / 47 = 1.702127659574468$
The answer is $1.702127659574468$
3. Drafting the ... | 80 / 47 | 1.702127659574468 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(64) * cot(45)) - 41. 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(45) = 1.00000000000000... | (cbrt(64) * cot(45)) - 41 | -37 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 - 94) * 87) - cbrt(64). 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. $9 - 94 = -85$
3. $-85 *... | ((9 - 94) * 87) - cbrt(64) | -7399 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 - cos(360)) / 85) / 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $13 - 1 = 12$
3. $12 / 85 = 0.1411764705... | ((13 - cos(360)) / 85) / 99 | 0.00142602495543672 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (78 * 65) * 4**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**2 = 16$
2. $78 * 65 = 5070$
3. $5070 * 16 = 81120$
The answer i... | (78 * 65) * 4**2 | 81120 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(135) * 33) / cbrt(125)) + 16. 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. $cbrt(125) = 4.99... | ((tan(135) * 33) / cbrt(125)) + 16 | 73.4 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 - 47) - 2**3) - 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $cbrt(64) = 3.9999999999999996$
3. $5 - 47 = -42$... | ((5 - 47) - 2**3) - 54 | -100 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(270) - log(22, 5)) + 85) - 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(270) = 1.83697019872103e-16$
2. $log(22, 5) = 1... | ((cot(270) - log(22, 5)) + 85) - 91 | -7.920572660478371 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(49) + 2) * 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $7 + 2 = 9$
3. $9 * 55 = 495$
The answer is $4... | (sqrt(49) + 2) * 55 | 495 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((93 + 6) / 44) + 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. $tan(135) = -1.0000000000000002$
3. $93 + 6... | ((93 + 6) / 44) + sqrt(4) | 3.25 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(14, 2) + sec(0)) + 8) * 3. 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. $sec(0) = 1$
3. $... | ((log(14, 2) + sec(0)) + 8) * 3 | 38.42206476617281 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(270) * cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $cbrt(125) = 4.999999999999999$
3. $-1 * 4.999... | sin(270) * cbrt(125) | -4.999999999999999 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((60 * sqrt(4)) + 3**4) - 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $3**4 = 81$
3. $60 * 2 = 120$
4. $120 ... | ((60 * sqrt(4)) + 3**4) - 22 | 179 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(45) - log(23, 10)) - 5. 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(23, 10) = 1.361727836... | (cot(45) - log(23, 10)) - 5 | -5.361727836017593 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 86 + sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $86 + 7 = 93$
The answer is $93$
3. Drafting the respo... | 86 + sqrt(49) | 93 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((28 + 53) - 91) - 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. $28 + 53 = 81$
3. $81 - 91... | ((28 + 53) - 91) - sec(45) | -11.414213562373096 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 10 * csc(210). 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. $10 * -1.9999999999999996 = -19.999999... | 10 * csc(210) | -19.999999999999996 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 * cot(270)) * 61) - 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(270) = 1.83697019872103e-16$
2. $66 * 1.83697019872103e-... | ((66 * cot(270)) * 61) - 7 | -6.99999999999926 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (14 - 32) - 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $14 - 32 = -18$
2. $-18 - 41 = -59$
The answer is $-59$
3. Drafting the... | (14 - 32) - 41 | -59 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) - sin(60)) + 66) * sqrt(81). 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. $sin(60) = 0.... | ((cos(90) - sin(60)) + 66) * sqrt(81) | 33413.72896785859 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 / 33) - log(36, 5)) * 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(36, 5) = 2.226565505118757$
2. $90 / 33 = 2.727272727... | ((90 / 33) - log(36, 5)) * 22 | -59.98444111261266 | log | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((20 - 69) / 68) / 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. $4**2 = 16$
3. $20 - 69 = -49$
4. $-4... | ((20 - 69) / 68) / cos(180) | 11.529411764705882 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 * sqrt(49)) / 54) + 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $cos(45) = 0.7071067811865476$
3. $76 * ... | ((76 * sqrt(49)) / 54) + 79 | 89.5589586330384 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(216) + 39) * 26) - sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(216) = 5.999999999999999$
2. $sin(360) = -2.449... | ((cbrt(216) + 39) * 26) - sin(360) | 12.857142857142858 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(270) + 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(270) = -1.8369701987210297e-16$
2. $-1.8369701987210297e-16 + 92 = 92... | cos(270) + 92 | 92 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 91 * 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $91 * 16 = 1456$
The answer is $1456$
3. Drafting the response: "Ответ на ваш за... | 91 * 16 | 1456 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 2**2 + sin(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. $sin(90) = 1$
3. $4 + 1 = 5$
The answer is $5$
3. Draft... | 2**2 + sin(90) | 5 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (47 / 49) + 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. $47 / 49 = 0.9591836734693877$
3. $0.9591836734... | (47 / 49) + sqrt(64) | 8.959183673469388 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 4 / cbrt(216). 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. $4 / 5.999999999999999 = 0.666666666666... | 4 / cbrt(216) | 0.6666666666666667 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(30) * 40) - 78) + 4**4. 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. $4**4 = 256$
3. $tan(30... | ((cos(30) * 40) - 78) + 4**4 | 122.76834791575338 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (53 / 80) + sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $53 / 80 = 0.6625$
3. $0.6625 + 7 = 7.6625$
T... | (53 / 80) + sqrt(49) | 7.6625 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 - 60) + log(8, 2)) * sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(8, 2) = 3$
2. $sqrt(16) = 4$
3. $5 - 60 = -55$
... | ((5 - 60) + log(8, 2)) * sqrt(16) | -208 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 * sqrt(49)) - 6) / 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $96 * 7 = 672$
3. $672 - 6 = 666$
4. $6... | ((96 * sqrt(49)) - 6) / 79 | 8.430379746835444 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 - cbrt(64)) / 55) * 14. 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. $23 - 3.9999999999999996 ... | ((23 - cbrt(64)) / 55) * 14 | 0.04836363636363636 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 81 * log(31, 10). 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. $81 * 1.4913616938342726 = 120.80... | 81 * log(31, 10) | 120.80029720057608 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(3, 10) / cot(45)) + 73) + 56. 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. $cot(45) = 1.00... | ((log(3, 10) / cot(45)) + 73) + 56 | 129.47712125471966 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((30 + 73) / sin(30)) + 69. 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. $30 + 73 = 103$
3. $103 ... | ((30 + 73) / sin(30)) + 69 | 275 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 6 + 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. $6 + -2.000000000000001 = 3.999999999999... | 6 + sec(120) | 3.999999999999999 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(45) / 56) - log(29, 10)) + 42. 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. $log(29, 10) = 1.46... | ((sec(45) / 56) - log(29, 10)) + 42 | 40.56285581571485 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(45) * 5. 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. $1.414213562373095 * 5 = 7.071067811865475$... | sec(45) * 5 | 7.071067811865475 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(100) - 72) * 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $10 - 72 = -62$
3. $-62 * 65 = -4030$
The ... | (sqrt(100) - 72) * 65 | -4030 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((79 / 94) * cot(90)) + sin(60). 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) = 0.866025... | ((79 / 94) * cot(90)) + sin(60) | 0.01968239554055542 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 62 / 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $62 / 15 = 4.133333333333334$
The answer is $4.133333333333334$
3. Drafting the ... | 62 / 15 | 4.133333333333334 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((61 - 18) / 7) / 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $61 - 18 = 43$
2. $43 / 7 = 6.142857142857143$
3. $6.142857142857... | ((61 - 18) / 7) / 99 | 0.062049062049062055 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((56 * 77) / sqrt(4)) - 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $56 * 77 = 4312$
3. $4312 / 2 = 2156$
4.... | ((56 * 77) / sqrt(4)) - 42 | 6342 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (45 - 3) + 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $45 - 3 = 42$
2. $42 + 27 = 69$
The answer is $69$
3. Drafting the respo... | (45 - 3) + 27 | 69 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(360) * sec(60)) / sin(60)) / 5. 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. $sec(60) = ... | ((sin(360) * sec(60)) / sin(60)) / 5 | -9.842138215367134e-15 | trig | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 58 + 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $58 + 38 = 96$
The answer is $96$
3. Drafting the response: "Ответ на ваш запрос... | 58 + 38 | 96 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(64) - 14) * cbrt(216)) - 42. 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. $cbrt(216) = 5.999... | ((cbrt(64) - 14) * cbrt(216)) - 42 | -102 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (67 - 59) + log(43, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(43, 2) = 5.426264754702098$
2. $67 - 59 = 8$
3. $8 + 5.426... | (67 - 59) + log(43, 2) | 13.426264754702098 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 51 / 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $51 / 59 = 0.864406779661017$
The answer is $0.864406779661017$
3. Drafting the ... | 51 / 59 | 0.864406779661017 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) - 8) / sec(45)) - sqrt(4). 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... | ((sqrt(16) - 8) / sec(45)) - sqrt(4) | 5.17157287525381 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 32 + 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $32 + 99 = 131$
The answer is $131$
3. Drafting the response: "Ответ на ваш запр... | 32 + 99 | 131 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (42 * 27) - log(11, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(11, 10) = 1.041392685158225$
2. $42 * 27 = 1134$
3. $1134... | (42 * 27) - log(11, 10) | 1132.9586073148419 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (13 + log(31, 10)) - 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. $13 + 1.4913616938342726 = ... | (13 + log(31, 10)) - 9 | 5.491361693834273 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(27) / 97) - 50) * 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $3 / 97 = 0.030927835051546393$
3. $0.03... | ((cbrt(27) / 97) - 50) * 63 | -3105.0515463917523 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(225) * sec(30)) + 68) + sin(45). 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. $sec(30) = 1.15... | ((tan(225) * sec(30)) + 68) + sin(45) | 69.8618073195658 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(60) / 34) + tan(45). 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. $tan(45) = 0.9999999999999999... | (cos(60) / 34) + tan(45) | 1.0147058823529411 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 6 - 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6 - 48 = -42$
The answer is $-42$
3. Drafting the response: "Ответ на ваш запрос... | 6 - 48 | -42 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (52 / 9) + sin(180). 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. $52 / 9 = 5.777777777777778$
... | (52 / 9) + sin(180) | 5.777777777777778 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((63 * 64) / 7) * 51. 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. $63 * 64 = 4032$
3. $4032 / 7... | ((63 * 64) / 7) * 51 | -29375.999999999985 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 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. $6 + 23 = 29$
The answer is $29$
3. Drafting the respo... | sqrt(36) + 23 | 29 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 64 * 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $64 * 88 = 5632$
The answer is $5632$
3. Drafting the response: "Ответ на ваш за... | 64 * 88 | 5632 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (55 + 66) * 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $55 + 66 = 121$
2. $121 * 10 = 1210$
The answer is $1210$
3. Drafting t... | (55 + 66) * 10 | 1210 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 98 + 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. $98 + 2 = 100$
The answer is $100$
3. Drafting the respo... | 98 + sqrt(4) | 100 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (12 * cos(270)) - 68. 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. $12 * -1.8369701987210297e-... | (12 * cos(270)) - 68 | -68 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((12 - 76) * 83) / 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. $12 - 76 = -64$
3. $-64 * 83 = -5312$
... | ((12 - 76) * 83) / sqrt(64) | -664 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(270) + 90. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $-1 + 90 = 89$
The answer is $89$
3. Drafting the res... | sin(270) + 90 | 89 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(360) + sec(180)) * 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $sec(180) = -1$
3. $1 + -1 = 0$
4. $0 *... | (sec(360) + sec(180)) * 45 | 0 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(31, 3) + 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(31, 3) = 3.1257498572570146$
2. $3.1257498572570146 + 64 = 67.12574... | log(31, 3) + 64 | 67.12574985725702 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3**2 * 30) * 65) / 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $sin(60) = 0.8660254037844386$
3. $9 * 30 = 270$... | ((3**2 * 30) * 65) / 58 | 301.7201814927673 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(25) + 4**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $4**4 = 256$
3. $5 + 256 = 261$
The answer is $261... | sqrt(25) + 4**4 | 261 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((15 * log(13, 5)) - cos(0)) - 31. 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. $cos(0) = 1$
3.... | ((15 * log(13, 5)) - cos(0)) - 31 | -18.798475582528482 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 84 * 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $84 * 6 = 504$
The answer is $504$
3. Drafting the response: "Ответ на ваш запрос... | 84 * 6 | 504 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 2**2 / 26. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $4 / 26 = 0.15384615384615385$
The answer is $0.15384615384615... | 2**2 / 26 | 0.15384615384615385 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(30) * sqrt(9)) / 99. 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. $sqrt(9) = 3$
3. $1.1547005... | (sec(30) * sqrt(9)) / 99 | 0.03499092540543186 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 - 96) / 34) - 6. 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. $66 - 96 = -30$
3. $-30 /... | ((66 - 96) / 34) - 6 | 1.6856903000028274e-15 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 45 - csc(210). 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. $45 - -1.9999999999999996 = 47$
The ... | 45 - csc(210) | 47 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(35, 10) - 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(35, 10) = 1.5440680443502754$
2. $1.5440680443502754 - 2 = -0.45593... | log(35, 10) - 2 | -0.45593195564972455 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (20 - sin(30)) - 78. 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. $20 - 0.49999999999999994 = 19.5$... | (20 - sin(30)) - 78 | -58.5 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 - 1) / 57) - 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. $21 - 1 = 20$
3. $20 / 57 =... | ((21 - 1) / 57) - 1 | -7.949461678675801e-17 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((1 + 30) + cos(0)) / 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $1 + 30 = 31$
3. $31 + 1 = 32$
4. $32 / 54 ... | ((1 + 30) + cos(0)) / 54 | 0.5925925925925926 | trig | 2 | 4 |
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