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: ((51 * sqrt(9)) / sqrt(100)) - 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $sqrt(100) = 10$
3. $sqrt(9) = 3$
... | ((51 * sqrt(9)) / sqrt(100)) - 23 | -4.699999999999999 | power | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(180) + csc(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(180) = 1.2246467991473532e-16$
2. $csc(30) = 2.0000000000000004$... | sin(180) + csc(30) | 2.0000000000000004 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (36 - cos(0)) * 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $36 - 1 = 35$
3. $35 * 34 = 1190$
The answer is $... | (36 - cos(0)) * 34 | 1190 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) + 7) - cbrt(216)) / sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $cbrt(216) = 5.999999999999999$
... | ((cbrt(8) + 7) - cbrt(216)) / sqrt(36) | 76.5 | power | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 / 49) * 1) * 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. $76 / 49 = 1.5510204081632653$
3. $1.5510... | ((76 / 49) * 1) * sqrt(25) | 7.755102040816326 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 + sin(180)) - 83) * 84. 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. $85 + 1.2246467991473... | ((85 + sin(180)) - 83) * 84 | 168 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(180) - sqrt(64). 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. $sqrt(64) = 8$
3. $-1.2246... | tan(180) - sqrt(64) | -8 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(225) - 33) + 22) / cbrt(64). 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. $cbrt(64) = 3.99999... | ((tan(225) - 33) + 22) / cbrt(64) | -0.051020408163265314 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 * 64) + 56) - 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. $70 * 64 = 4480$
3... | ((70 * 64) + 56) - cos(270) | 22680 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5**4 - sin(45)) * log(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. $sin(45) = 0.7071067811865476$
3. $log(5,... | (5**4 - sin(45)) * log(5, 2) | 1449.563208203279 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(135) / 77) + 96. 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. $-0.9999999999999998 / 77 = -0.... | (cot(135) / 77) + 96 | 95.98701298701299 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4**4 - 66) * 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $256 - 66 = 190$
3. $190 * 100 = 19000$
The answer... | (4**4 - 66) * 100 | 19000 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((14 - 61) - cbrt(27)) + tan(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $tan(0) = 0$
3. $sqrt(16) = 4$
4. ... | ((14 - 61) - cbrt(27)) + tan(0) | -54 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (67 / sin(90)) / 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $67 / 1 = 67$
3. $67 / 47 = 1.425531914893617$
... | (67 / sin(90)) / 47 | 1.425531914893617 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(30) / cbrt(125)) + log(28, 5). 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. $cbrt(125) = 4.9999... | (tan(30) / cbrt(125)) + log(28, 5) | 2.1858851251068785 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(36) - 4**4) - log(47, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $4**4 = 256$
3. $log(47, 5) = 2.39223... | (sqrt(36) - 4**4) - log(47, 5) | -252.39223120815336 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 28 * 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $28 * 11 = 308$
The answer is $308$
3. Drafting the response: "Ответ на ваш запр... | 28 * 11 | 308 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 + 98) + 26) / 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $96 + 98 = 194$
2. $194 + 26 = 220$
3. $220 / 57 = 3.85964912280... | ((96 + 98) + 26) / 57 | 50.85964912280702 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((58 * 14) / sqrt(64)) - 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $58 * 14 = 812$
3. $812 / 8 = 101.5$
4... | ((58 * 14) / sqrt(64)) - 36 | 65.5 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 - 86) / 4) - 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. $76 - 86 = -10$
3. $-10 / 4 = -2.5$
4. $-2.5 -... | ((76 - 86) / 4) - 4**2 | -333 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(28, 5) - csc(60)) / csc(150)) * 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(28, 5) = 2.0704150712689535$
2. $csc(60) =... | ((log(28, 5) - csc(60)) / csc(150)) * 48 | -32.02285121064716 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 - 40) - cbrt(27)) * tan(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $tan(0) = 0$
3. $22 - 40 = -18$
4.... | ((22 - 40) - cbrt(27)) * tan(0) | 0 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) + 29) - sqrt(25)) + 39. 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. $sqrt(25) = 5$
3. $... | ((sin(60) + 29) - sqrt(25)) + 39 | 63.866025403784434 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((14 + 58) - 5) * 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $14 + 58 = 72$
2. $72 - 5 = 67$
3. $67 * 75 = 5025$
The answer ... | ((14 + 58) - 5) * 75 | 5025 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(360) - 25) + 78) - 87. 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) - 25) + 78) - 87 | 61 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 96 + log(28, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(28, 10) = 1.447158031342219$
2. $96 + 1.447158031342219 = 97.44715... | 96 + log(28, 10) | 97.44715803134221 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 * tan(30)) * 21) / sin(60). 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. $sin(60) = 0.8660254037... | ((5 * tan(30)) * 21) / sin(60) | 66 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((71 - 78) * 62) - 41. 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. $71 - 78 = -7$
3. $-7 * 62 = -... | ((71 - 78) * 62) - 41 | -237.50000000000006 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (48 / 79) + 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $48 / 79 = 0.6075949367088608$
2. $0.6075949367088608 + 14 = 14.607594936... | (48 / 79) + 14 | 14.60759493670886 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((58 + 66) + 11) - log(14, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(14, 3) = 2.402173502732879$
2. $58 + 66 = 124$
3. $... | ((58 + 66) + 11) - log(14, 3) | 132.5978264972671 | log | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(37, 5) / 80) + tan(225)) * 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(37, 5) = 2.2435894449529292$
2. $tan(225) = 0.9... | ((log(37, 5) / 80) + tan(225)) * 98 | 100.7483970700673 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((55 / 17) - 48) + 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $55 / 17 = 3.235294117647059$
2. $3.235294117647059 - 48 = -44.764... | ((55 / 17) - 48) + 97 | 52.23529411764706 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((16 / 82) + sqrt(16)) * 4**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. $4**4 = 256$
3. $16 / 82 = 0.195121951... | ((16 / 82) + sqrt(16)) * 4**4 | 1073.9512195121952 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (43 - 22) * 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. $43 - 22 = 21$
3. $21 * 0 = 0$
The answer is $0$
... | (43 - 22) * tan(0) | 0 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((88 * 86) / 86) * 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. $88 * 86 = 7568$
3... | ((88 * 86) / 86) * sin(360) | -2.1553783664993418e-14 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 68 * 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $68 * 31 = 2108$
The answer is $2108$
3. Drafting the response: "Ответ на ваш за... | 68 * 31 | 2108 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(90) + 33) / csc(210)) + sec(240). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $csc(210) = -1.9999999999999996$... | ((csc(90) + 33) / csc(210)) + sec(240) | 197 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (38 - cbrt(64)) + 68. 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. $38 - 3.9999999999999996 = 34$
... | (38 - cbrt(64)) + 68 | 102 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 61 * log(19, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(19, 2) = 4.247927513443585$
2. $61 * 4.247927513443585 = 259.123578... | 61 * log(19, 2) | 259.1235783200587 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 25 / 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $25 / 86 = 0.29069767441860467$
The answer is $0.29069767441860467$
3. Drafting ... | 25 / 86 | 0.29069767441860467 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 * cos(60)) * 70) + 66. 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. $log(40, 2) = 5.32192809488... | ((66 * cos(60)) * 70) + 66 | 12644.901153452376 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 - 30) * cos(180)) * 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $70 - 30 = 40$
3. $40 * -1 = -40$
4. ... | ((70 - 30) * cos(180)) * 88 | -3520 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (81 / 81) * sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $81 / 81 = 1$
3. $1 * 10 = 10$
The answer ... | (81 / 81) * sqrt(100) | 10 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (64 * 6**2) / log(16, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $log(16, 10) = 1.2041199826559246$
3. $64 * 3... | (64 * 6**2) / log(16, 10) | 1913.430582655121 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(0) - cot(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $cot(45) = 1.0000000000000002$
3. $1 - 1.000000000000... | cos(0) - cot(45) | -2.220446049250313e-16 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((32 / 23) / sqrt(16)) + 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $32 / 23 = 1.391304347826087$
3. $1.3913... | ((32 / 23) / sqrt(16)) + 19 | 793.2608695652175 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((49 * 18) + 47) / 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $49 * 18 = 882$
2. $882 + 47 = 929$
3. $929 / 93 = 9.98924731182... | ((49 * 18) + 47) / 93 | 9.989247311827956 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 42 + 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $42 + 35 = 77$
The answer is $77$
3. Drafting the response: "Ответ на ваш запрос... | 42 + 35 | 77 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) * 5) - 93) / 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $7 * 5 = 35$
3. $35 - 93 = -58$
4. $-58... | ((sqrt(49) * 5) - 93) / 68 | 59.14705882352941 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(60) + 75) + 45) + cos(90). 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(90) = 6.123233995... | ((csc(60) + 75) + 45) + cos(90) | 1.706404232934919 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(45, 10) / cbrt(216). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(45, 10) = 1.6532125137753435$
2. $cbrt(216) = 5.99999999999... | log(45, 10) / cbrt(216) | 0.2755354189625573 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (87 + tan(315)) + cot(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. $cot(315) = -0.9999999999... | (87 + tan(315)) + cot(315) | 85 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((62 / 15) / 4) + 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $62 / 15 = 4.133333333333334$
2. $4.133333333333334 / 4 = 1.033333... | ((62 / 15) / 4) + 100 | 5859.933333333333 | arithmetic | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((64 - sin(90)) - 43) + 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $64 - 1 = 63$
3. $63 - 43 = 20$
4. $20 +... | ((64 - sin(90)) - 43) + 93 | 113 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(11, 5) + 50) / log(12, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(11, 5) = 1.4898961024049782$
2. $log(12, 3) = 2.2618... | (log(11, 5) + 50) / log(12, 3) | 22.76440952225403 | log | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 78 - 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $78 - 74 = 4$
The answer is $4$
3. Drafting the response: "Ответ на ваш запрос в... | 78 - 74 | 4 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(100) + 25) + 35) * log(12, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $log(12, 3) = 2.261859507142914... | ((sqrt(100) + 25) + 35) * log(12, 3) | 158.33016550000403 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 87 * 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $87 * 85 = 7395$
The answer is $7395$
3. Drafting the response: "Ответ на ваш за... | 87 * 85 | 7395 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 83 / 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $83 / 35 = 2.3714285714285714$
The answer is $2.3714285714285714$
3. Drafting th... | 83 / 35 | 2.3714285714285714 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (44 + log(36, 5)) * 67. 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. $44 + 2.226565505118757 = 46.... | (44 + log(36, 5)) * 67 | 3097.1798888429566 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((89 / 50) + 14) + 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $89 / 50 = 1.78$
2. $1.78 + 14 = 15.78$
3. $15.78 + 16 = 31.78$
... | ((89 / 50) + 14) + 16 | 1906.8000000000002 | arithmetic | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 64 + 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $64 + 93 = 157$
The answer is $157$
3. Drafting the response: "Ответ на ваш запр... | 64 + 93 | 157 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((71 * cos(45)) + cot(315)) + 22. 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. $cot(315) = -0.999999... | ((71 * cos(45)) + cot(315)) + 22 | 71.20458146424488 | trig | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 40 / 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $40 / 69 = 0.5797101449275363$
The answer is $0.5797101449275363$
3. Drafting th... | 40 / 69 | 0.5797101449275363 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((25 * cos(90)) + 96) + sec(0). 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. $sec(0) = 1$
3. $2... | ((25 * cos(90)) + 96) + sec(0) | 97 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((11 / 56) + 63) - 90. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $11 / 56 = 0.19642857142857142$
2. $0.19642857142857142 + 63 = 63.... | ((11 / 56) + 63) - 90 | -26.80357142857143 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((40 * 76) - 39) + sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $40 * 76 = 3040$
3. $3040 - 39 = 3001... | ((40 * 76) - 39) + sqrt(100) | 3006 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((17 * cos(180)) - 5) / cot(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $cot(30) = 1.7320508075688774$
3. $... | ((17 * cos(180)) - 5) / cot(30) | -12.701705922171765 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((17 + cbrt(27)) / tan(315)) * 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $tan(315) = -1.0000000000000004$
3... | ((17 + cbrt(27)) / tan(315)) * 84 | -1679.9999999999993 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) + cot(45)) + 59) - 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $cot(45) = 1.0000000000000002$
3. $... | ((sqrt(25) + cot(45)) + 59) - 13 | 16 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 94 / 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $94 / 51 = 1.8431372549019607$
The answer is $1.8431372549019607$
3. Drafting th... | 94 / 51 | 1.8431372549019607 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(360) * 34) / sec(45)) * sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $sec(45) = 1.414213562373095$
... | ((cos(360) * 34) / sec(45)) * sin(360) | -5.888501182401355e-15 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((38 + 49) / 50) - 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. $38 + 49 = 87$
3. $87 / 50... | ((38 + 49) / 50) - cot(60) | 1.162649730810374 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(30) / 35. 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. $0.8660254037844387 / 35 = 0.024743582965... | cos(30) / 35 | 0.024743582965269677 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((55 / 69) - csc(90)) * 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $55 / 69 = 0.7971014492753623$
3. $0.79710... | ((55 / 69) - csc(90)) * 10 | -2.028985507246377 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(30) + 44. 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. $0.8660254037844387 + 44 = 44.86602540378... | cos(30) + 44 | 44.86602540378444 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (81 / 32) + cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $81 / 32 = 2.53125$
3. $2.53125 + 2 = 4.53125$
... | (81 / 32) + cbrt(8) | 4.53125 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**4 * cos(360)) - 50) + tan(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $cos(360) = 1$
3. $tan(45) = 0.999... | ((6**4 * cos(360)) - 50) + tan(45) | 2494.0000000000005 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 99 + sec(30). 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. $99 + 1.1547005383792515 = 100.1547005383... | 99 + sec(30) | 100.15470053837925 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3**2 / 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $9 / 65 = 0.13846153846153847$
The answer is $0.13846153846153... | 3**2 / 65 | 0.13846153846153847 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 78 + 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $78 + 99 = 177$
The answer is $177$
3. Drafting the response: "Ответ на ваш запр... | 78 + 99 | 177 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 * log(24, 5)) + 7) + 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(24, 5) = 1.9746358687061647$
2. $22 * 1.97463586870616... | ((22 * log(24, 5)) + 7) + 25 | 149.44198911153563 | log | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((32 / 27) - log(36, 3)) * log(31, 5). 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. $log(31, 5) =... | ((32 / 27) - log(36, 3)) * log(31, 5) | -100.43090907352892 | log | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 37 + 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $37 + 19 = 56$
The answer is $56$
3. Drafting the response: "Ответ на ваш запрос... | 37 + 19 | 56 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 * 21) * cos(90)) * 78. 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. $csc(270) = -1$
3. $44... | ((44 * 21) * cos(90)) * 78 | 1.0000000000044131 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(45) * csc(30)) - 87) - sin(30). 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. $csc(30) = 2.0000... | ((tan(45) * csc(30)) - 87) - sin(30) | -64.5 | trig | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 + 86) - 37) + 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $37 + 86 = 123$
2. $123 - 37 = 86$
3. $86 + 2 = 88$
The answer ... | ((37 + 86) - 37) + 2 | 88 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (80 / 12) - 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $80 / 12 = 6.666666666666667$
2. $6.666666666666667 - 94 = -87.3333333333... | (80 / 12) - 94 | -87.33333333333333 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(0) * sqrt(49)) + cos(360)) * 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $sqrt(49) = 7$
3. $cos(360) = 1$
... | ((tan(0) * sqrt(49)) + cos(360)) * 9 | 1.102182119232618e-15 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3 + 100) / sec(360)) + 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $3 + 100 = 103$
3. $103 / 1 = 103$
4. $... | ((3 + 100) / sec(360)) + 7 | 110 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((58 * 12) + 47) * 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $58 * 12 = 696$
2. $696 + 47 = 743$
3. $743 * 98 = 72814$
The ... | ((58 * 12) + 47) * 98 | 72814 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(81) / 3**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $3**2 = 9$
3. $9 / 9 = 1$
The answer is $1$
3. Dra... | sqrt(81) / 3**2 | 1 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(38, 3) + 3) / 67) / sin(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(38, 3) = 3.3110736128178324$
2. $sin(60) = 0.8660... | ((log(38, 3) + 3) / 67) / sin(60) | 0.10876716564883343 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((29 - 77) - 85) + 77. 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. $29 - 77 = -48$
3. $-48 - 85... | ((29 - 77) - 85) + 77 | 56.00000000000003 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((29 / csc(90)) / cot(30)) - sqrt(4). 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... | ((29 / csc(90)) / cot(30)) - sqrt(4) | 14.743157806499145 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((7 * 81) - 48) / 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. $7 * 81 = 567$
3. $567 - 48 = 519$
4. $... | ((7 * 81) - 48) / sqrt(25) | 103.8 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(180) - 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $-1 - 46 = -47$
The answer is $-47$
3. Drafting the r... | cos(180) - 46 | -47 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 75 * 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $75 * 63 = 4725$
The answer is $4725$
3. Drafting the response: "Ответ на ваш за... | 75 * 63 | 4725 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(40, 3) * 50) * 12) * cos(270). 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. $cos(270) = -1.8... | ((log(40, 3) * 50) * 12) * cos(270) | -3.7008660983194605e-13 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) * log(6, 2)) / 25) - 92. 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(6, 2) = 2.5849... | ((sin(30) * log(6, 2)) / 25) - 92 | -91.94830074998558 | mixed | 1 | 5 |
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