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: ((18 + 6) / csc(45)) - cos(360). 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. $cos(360) = 1$
3. $18... | ((18 + 6) / csc(45)) - cos(360) | 15.970562748477143 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(270) * 84. 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 * 84 = -1... | cos(270) * 84 | -1.543054966925665e-14 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(360) / csc(45)) + 88) / cos(180). 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. $csc(45) ... | ((sin(360) / csc(45)) + 88) / cos(180) | -88 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(360) - sec(240). 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(240) = -1.9999999999999... | sin(360) - sec(240) | 1.999999999999998 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((93 + sqrt(16)) * log(12, 5)) * sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $log(12, 5) = 1.543959310632... | ((93 + sqrt(16)) * log(12, 5)) * sin(360) | -9.390493096687474e-12 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) + 82) - 34) * log(16, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $log(16, 3) = 2.5237190142858297$
... | ((sqrt(16) + 82) - 34) * log(16, 3) | 131.23338874286316 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) * 37) * 100) - 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. $2 * 37 = 74$
3. $74 * 100 = 7400$
4. $... | ((sqrt(4) * 37) * 100) - 42 | 7355 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(180) + cos(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $cos(90) = 6.123233995736766e-17$
3. $-1 + 6.123... | cos(180) + cos(90) | -0.9999999999999999 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((48 * 53) * sqrt(100)) + sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $sin(30) = 0.49999999999999994$
... | ((48 * 53) * sqrt(100)) + sin(30) | 25440.5 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 19 - 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $19 - 22 = -3$
The answer is $-3$
3. Drafting the response: "Ответ на ваш запрос... | 19 - 22 | -3 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(100) * 18) - cos(45)) - 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $cos(45) = 0.7071067811865476$
3... | ((sqrt(100) * 18) - cos(45)) - 54 | 125.29289321881346 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3 - 36) + 76) * 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3 - 36 = -33$
2. $-33 + 76 = 43$
3. $43 * 2 = 86$
The answer is... | ((3 - 36) + 76) * 2 | 86 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) - sin(45)) / 25) / tan(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $sin(45) = 0.7071067811865476$
3... | ((cbrt(8) - sin(45)) / 25) / tan(45) | 0.05171572875253811 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((26 / 75) + tan(60)) + log(36, 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. $log(36, 2) = 5.169... | ((26 / 75) + tan(60)) + log(36, 2) | 8.248642475677855 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((10 - 83) - 21) * 97. 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. $10 - 83 = -73$
3. $-73 - 21 ... | ((10 - 83) - 21) * 97 | -36471.99999999999 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((17 * sin(360)) - 42) - sqrt(25). 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. $sqrt(25) = 5$... | ((17 * sin(360)) - 42) - sqrt(25) | -47.00000000000001 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 29 + 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. $29 + -1.9999999999999996 = 27$
The ... | 29 + csc(210) | 27 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(40, 2) / sin(270)) / cot(225)) * sin(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(40, 2) = 5.321928094887363$
2. $sin... | ((log(40, 2) / sin(270)) / cot(225)) * sin(180) | -6.517482206696177e-16 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 59 / log(32, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(32, 2) = 5$
2. $59 / 5 = 11.8$
The answer is $11.8$
3. Drafting t... | 59 / log(32, 2) | 11.8 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(50, 10) * log(49, 5)) / 34) / sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(50, 10) = 1.6989700043360185$
2. $log(4... | ((log(50, 10) * log(49, 5)) / 34) / sin(90) | 4.120832940890378 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (60 - 30) * 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $60 - 30 = 30$
2. $30 * 42 = 1260$
The answer is $1260$
3. Drafting the... | (60 - 30) * 42 | 1260 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 81 * 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $81 * 34 = 2754$
The answer is $2754$
3. Drafting the response: "Ответ на ваш за... | 81 * 34 | 2754 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (34 + 28) * 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. $34 + 28 = 62$
3. $62 * 0 = 0$
The answer is $0$
... | (34 + 28) * tan(0) | 0 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) - 5) / 51) * 2**3. 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. $2**3 = 8$
3. $0.499999... | ((sin(30) - 5) / 51) * 2**3 | -0.7058823529411765 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(0) - cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $cos(0) = 1$
3. $1 - 1 = 0$
The answer is $0$
3. Dra... | sec(0) - cos(0) | 0 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 95 + cot(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(45) = 1.0000000000000002$
2. $95 + 1.0000000000000002 = 96$
The answ... | 95 + cot(45) | 96 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(60) - 34. 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 - 34 = -33.1339745962... | sin(60) - 34 | -33.13397459621556 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 71 - 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $71 - 91 = -20$
The answer is $-20$
3. Drafting the response: "Ответ на ваш запр... | 71 - 91 | -20 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (49 / 59) + 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $49 / 59 = 0.8305084745762712$
2. $0.8305084745762712 + 37 = 37.830508474... | (49 / 59) + 37 | 37.83050847457627 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(90) * 15) - 32) * 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. $1 * 15 = 15$
3. $15 - 32 = -17$
4. $-17... | ((sin(90) * 15) - 32) * 93 | -1581 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 52 * 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $52 * 81 = 4212$
The answer is $4212$
3. Drafting the response: "Ответ на ваш за... | 52 * 81 | 4212 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 68 - 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. $68 - 7 = 61$
The answer is $61$
3. Drafting the respo... | 68 - sqrt(49) | 61 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 86 / 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $86 / 24 = 3.5833333333333335$
The answer is $3.5833333333333335$
3. Drafting th... | 86 / 24 | 3.5833333333333335 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(64) * sqrt(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. $sqrt(36) = 6$
3. $8 * 6 = 48$
The answer is $... | sqrt(64) * sqrt(36) | 48 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(30) + log(10, 5)) - tan(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(30) = 2.0000000000000004$
2. $log(10, 5) = 1.4306... | (csc(30) + log(10, 5)) - tan(180) | 3.430676558073394 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((27 / 43) / 53) + 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $27 / 43 = 0.627906976744186$
2. $0.627906976744186 / 53 = 0.01184... | ((27 / 43) / 53) + 56 | 840.17770952172 | arithmetic | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (19 * csc(210)) - 9. 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. $19 * -1.9999999999999996 = -37.... | (19 * csc(210)) - 9 | -46.99999999999999 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 53 * 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $53 * 100 = 5300$
The answer is $5300$
3. Drafting the response: "Ответ на ваш ... | 53 * 100 | 5300 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(81) * 65) / 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $9 * 65 = 585$
3. $585 / 85 = 6.882352941176471... | (sqrt(81) * 65) / 85 | 6.882352941176471 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 * 93) / 25) + 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $92 * 93 = 8556$
2. $8556 / 25 = 342.24$
3. $342.24 + 76 = 418.2... | ((92 * 93) / 25) + 76 | 418.24 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(7, 5) - 66) + sec(120)) + 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(7, 5) = 1.2090619551221675$
2. $sec(120) = -2.00... | ((log(7, 5) - 66) + sec(120)) + 17 | -48.790938044877834 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (87 / 46) - 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $87 / 46 = 1.891304347826087$
2. $1.891304347826087 - 69 = -67.1086956521... | (87 / 46) - 69 | -67.1086956521739 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((54 - sin(360)) + 27) + 83. 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. $sqrt(25) = 5$
3. ... | ((54 - sin(360)) + 27) + 83 | 32.8 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(2, 5) / 5**2) - csc(45)) - 26. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(2, 5) = 0.43067655807339306$
2. $5**2 = 25$
3... | ((log(2, 5) / 5**2) - csc(45)) - 26 | -17.396986500050158 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (98 - 85) / 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $98 - 85 = 13$
2. $13 / 25 = 0.52$
The answer is $0.52$
3. Drafting the... | (98 - 85) / 25 | 0.52 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (27 + 48) * 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $27 + 48 = 75$
2. $75 * 96 = 7200$
The answer is $7200$
3. Drafting the... | (27 + 48) * 96 | 7200 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((80 + 91) / log(32, 5)) / 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(32, 5) = 2.1533827903669653$
2. $sec(180) = -1$
3. ... | ((80 + 91) / log(32, 5)) / 22 | -3.609542765688536 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 - 19) / 41) - 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $92 - 19 = 73$
2. $73 / 41 = 1.7804878048780488$
3. $1.780487804... | ((92 - 19) / 41) - 96 | -94.21951219512195 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) - 54) - tan(135)) - sin(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(60) = 0.8660254037844386$
2. $tan(135) = -1.... | ((sin(60) - 54) - tan(135)) - sin(180) | -52.13397459621556 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(90) * cos(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $cos(90) = 6.123233995736766e-17$
3. $1 * 6.1232339... | csc(90) * cos(90) | 6.123233995736766e-17 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(225) + 67) / 72) / 70. 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. $0.9999999999999997 + 67 ... | ((tan(225) + 67) / 72) / 70 | 0.013492063492063491 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 15 - tan(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(135) = -1.0000000000000002$
2. $15 - -1.0000000000000002 = 16$
The ... | 15 - tan(135) | 16 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((62 + 20) - 47) + sin(30). 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. $tan(30) = 0.5773502691896... | ((62 + 20) - 47) + sin(30) | 20.495934556231713 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 + log(40, 2)) * 74) / log(17, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(40, 2) = 5.321928094887363$
2. $log(17, 5) = ... | ((46 + log(40, 2)) * 74) / log(17, 5) | 17259.158593595075 | log | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((59 * 33) / 20) - 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $59 * 33 = 1947$
2. $1947 / 20 = 97.35$
3. $97.35 - 93 = 4.34999... | ((59 * 33) / 20) - 93 | 4.349999999999994 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (89 + 3**3) - log(50, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $log(50, 10) = 1.6989700043360185$
3. $89 + 2... | (89 + 3**3) - log(50, 10) | 114.30102999566398 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (78 + 98) + sin(60). 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. $78 + 98 = 176$
3. $176 + 0.8660... | (78 + 98) + sin(60) | 176.86602540378445 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((72 + 11) * csc(60)) / log(33, 10). 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. $log(33, 10) = 1.5... | ((72 + 11) * csc(60)) / log(33, 10) | 140.1144319249285 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((27 / sqrt(16)) * cos(90)) + sin(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $cos(90) = 6.123233995736766e-17... | ((27 / sqrt(16)) * cos(90)) + sin(45) | 0.7071067811865478 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 * 22) - 29) + log(18, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(18, 2) = 4.169925001442312$
2. $37 * 22 = 814$
3. $... | ((37 * 22) - 29) + log(18, 2) | 789.1699250014423 | log | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(64) * 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $8 * 3 = 24$
The answer is $24$
3. Drafting the respons... | sqrt(64) * 3 | 24 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((20 / 19) + sqrt(100)) * sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $sin(90) = 1$
3. $20 / 19 = 1.05... | ((20 / 19) + sqrt(100)) * sin(90) | 11.052631578947368 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 / cot(30)) + cot(45)) * 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(30) = 1.7320508075688774$
2. $cot(45) = 1.0000000000... | ((5 / cot(30)) + cot(45)) * 53 | 152.99782133525085 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(135) * 18) / log(15, 5)) * 4**3. 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. $log(15, 5) = ... | ((cot(135) * 18) / log(15, 5)) * 4**3 | -684.6521805132905 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(90) - tan(180)) - cos(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(90) = 6.123233995736766e-17$
2. $tan(180) = -1.22464... | (cos(90) - tan(180)) - cos(90) | 1.224646799147353e-16 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(43, 5) + 83) * 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(43, 5) = 2.336965027750064$
2. $2.336965027750064 + 83 = 85.... | (log(43, 5) + 83) * 98 | 8363.022572719507 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(30, 5) * 85) / log(47, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(30, 5) = 2.1132827525593787$
2. $log(47, 2) = 5.5545... | (log(30, 5) * 85) / log(47, 2) | 32.338853291237626 | log | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((39 - 97) - cos(180)) - 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $sqrt(9) = 3$
3. $39 - 97 = -58$
4. $... | ((39 - 97) - cos(180)) - 34 | -88 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3**2 / cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $cos(60) = 0.5000000000000001$
3. $9 / 0.5000000000000001... | 3**2 / cos(60) | 17.999999999999996 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (56 / 37) - sin(30). 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. $56 / 37 = 1.5135135135135136$
... | (56 / 37) - sin(30) | 1.0135135135135136 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(22, 3) * sqrt(49)) * sin(60)) + 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(22, 3) = 2.8135880922155954$
2. $sqrt(49) ... | ((log(22, 3) * sqrt(49)) * sin(60)) + 47 | 64.0564713455087 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 64 / 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $64 / 48 = 1.3333333333333333$
The answer is $1.3333333333333333$
3. Drafting th... | 64 / 48 | 1.3333333333333333 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) + tan(135)) / 22) / 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $tan(135) = -1.0000000000000002$
3... | ((sqrt(49) + tan(135)) / 22) / 44 | 0.006198347107438016 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) / sqrt(36)) + 31) + 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $sqrt(36) = 6$
3. $8 / 6 = 1.33333... | ((sqrt(64) / sqrt(36)) + 31) + 16 | 102.33333333333334 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((100 / 99) + 44) * 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $100 / 99 = 1.0101010101010102$
3. $1.01010101... | ((100 / 99) + 44) * 77 | 3463.777777777778 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(360) + log(49, 3)) * 83. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(360) = -2.4492935982947064e-16$
2. $log(49, 3) = 3.542... | (tan(360) + log(49, 3)) * 83 | 294.026462360796 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 23 / 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $23 / 77 = 0.2987012987012987$
The answer is $0.2987012987012987$
3. Drafting th... | 23 / 77 | 0.2987012987012987 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(180) * cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $cbrt(27) = 3$
3. $-1 * 3 = -3$
The answer is... | cos(180) * cbrt(27) | -3 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(4) / 48) / 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $2 / 48 = 0.041666666666666664$
3. $0.04166666666... | (sqrt(4) / 48) / 19 | 0.0021929824561403508 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(27) + 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $3 + 77 = 80$
The answer is $80$
3. Drafting the respo... | cbrt(27) + 77 | 80 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 - sqrt(25)) - log(42, 2)) - 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $log(42, 2) = 5.392317422778761$
... | ((73 - sqrt(25)) - log(42, 2)) - 71 | 8.392317422778756 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(360) - sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $sqrt(25) = 5$
3. $1 - 5 = -4$
The answer is $... | sec(360) - sqrt(25) | -4 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(180) * cbrt(27)) - 26) * 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $cbrt(27) = 3$
3. $sqrt(36) = 6$
... | ((cos(180) * cbrt(27)) - 26) * 7 | -197 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 1 / 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $1 / 80 = 0.0125$
The answer is $0.0125$
3. Drafting the response: "Ответ на ваш ... | 1 / 80 | 0.0125 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 - 56) / cbrt(64)) + 94. 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. $84 - 56 = 28$
3. $28 /... | ((84 - 56) / cbrt(64)) + 94 | 101 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 33 / sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $33 / 6 = 5.5$
The answer is $5.5$
3. Drafting the res... | 33 / sqrt(36) | 5.5 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2 - cos(360)) * sec(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $sec(0) = 1$
3. $2 - 1 = 1$
4. $1 * 1 = 1$... | (2 - cos(360)) * sec(0) | 1 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) / log(41, 2)) + tan(30)) * log(39, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $log(41, 2) = 5.357552... | ((sqrt(4) / log(41, 2)) + tan(30)) * log(39, 10) | 0.8732732684468686 | mixed | 2 | 9 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (81 - 5) + 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $81 - 5 = 76$
2. $76 + 9 = 85$
The answer is $85$
3. Drafting the respons... | (81 - 5) + 9 | 85 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 81 - 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $81 - 2 = 79$
The answer is $79$
3. Drafting the response: "Ответ на ваш запрос в... | 81 - 2 | 79 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) / 90) + 82) / sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sin(30) = 0.49999999999999994$
3. ... | ((sqrt(16) / 90) + 82) / sin(30) | 164.08888888888893 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(64) * 13) + 77. 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. $3.9999999999999996 * 13 = 51.99... | (cbrt(64) * 13) + 77 | 129 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (59 * 69) / 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $59 * 69 = 4071$
2. $4071 / 42 = 96.92857142857143$
The answer is $96.9... | (59 * 69) / 42 | 96.92857142857143 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(90) / sec(240). 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. $sec(240) = -1.9999999999999982$... | cos(90) / sec(240) | -3.0616169978683855e-17 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 12 - 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $12 - 36 = -24$
The answer is $-24$
3. Drafting the response: "Ответ на ваш запр... | 12 - 36 | -24 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (11 + 11) / log(12, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(12, 3) = 2.2618595071429146$
2. $11 + 11 = 22$
3. $22 / 2.... | (11 + 11) / log(12, 3) | 9.726510391350288 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) + 18) / sqrt(81)) - cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(270) = -1.8369701987210297e-16$
2. $sqrt(81)... | ((cos(270) + 18) / sqrt(81)) - cbrt(8) | 0 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(360) * 40) + 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $1 * 40 = 40$
3. $40 + 67 = 107$
The answer i... | (cos(360) * 40) + 67 | 107 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 67 - 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $67 - 75 = -8$
The answer is $-8$
3. Drafting the response: "Ответ на ваш запрос... | 67 - 75 | -8 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((33 * sqrt(4)) - sec(120)) / 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sec(120) = -2.000000000000001$
3. $... | ((33 * sqrt(4)) - sec(120)) / 48 | 1.4166666666666667 | mixed | 1 | 5 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.