messages listlengths 1 1 | ground_truth stringlengths 3 8 | dataset stringclasses 1
value |
|---|---|---|
[
{
"content": "Calculate the area enclosed between the functions f(x) = -1|(2(2e^(-1x) - 2)^2 + 4(2e^(-1x) - 2) - 4)| + 2 and g(x) = 2cos(3π((1x - 2)/(-2x - 3)) - 1) - 2 from x = 0.2 to x = 0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0.1 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -5(-1|(3sin(2πx + 1) - 2) - 3| + 3)^2 - 3(-1|(3sin(2πx + 1) - 2) - 3| + 3) - 3 and g(x) = (-2(-2cos(2πx - 2) + 1) + 1)/(-2(-2cos(2πx - 2) + 1)) from x = 2.5 to x = 3.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed... | 32.7 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -3((-3(3(3cos(3πx + 1) - 3)^2 - 4) - 1)/(-3(3(3cos(3πx + 1) - 3)^2 - 4))) - 2 and g(x) = -1|(2(-4x - 2)^2 + 5(-4x - 2) - 2) + 3| from x = -0.0 to x = 0.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | 0.9 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 1|(5(-4x + 4)^2 - 3(-4x + 4) - 1)| + 1 and g(x) = 4(3x^2 + 1) + 4 between the vertical lines x = 0.5 and x = 1.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 14.5 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (-3(1sin(2π(1|x + 2| + 2) + 3) - 3) - 2)/(-3(1sin(2π(1|x + 2| + 2) + 3) - 3) - 2) and g(x) = 3cos(1π(-2x - 4) - 1) - 1 between the vertical lines x = 3.0 and x = 3.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: ... | 2.2 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -2|(2cos(2π(-5(-1x + 3)^2 + 4(-1x + 3) + 1)) + 1) + 3| + 2 and g(x) = -5(2e^(1(1|x + 3| - 2)) - 2) - 1 between the vertical lines x = -0.8 and x = -0.7000000000000001. Round to 1 decimal place.\n\nPresent the answer in LaTex format:... | 0.3 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (3(-2cos(1π(2x + 5) + 2) + 2) - 3)/(-3(-2cos(1π(2x + 5) + 2) + 2)) and g(x) = 5(3|x| - 3)^2 + 5(3|x| - 3) + 2 between the vertical lines x = 2.2 and x = 2.3000000000000003. Round to 1 decimal place.\n\nPresent the answer in LaTex fo... | 8.0 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 1((-3(-1|(1x - 4) - 2| + 2) + 3)/(-2(-1|(1x - 4) - 2| + 2)))^2 + 4((-3(-1|(1x - 4) - 2| + 2) + 3)/(-2(-1|(1x - 4) - 2| + 2))) - 4, g(x) = -2(-3cos(3π(3|x + 2| + 3) + 3) + 1)^2 + 1(-3cos(3π(3|x + 2| + 3) + 3) + 1) + 5, x = 4.6, and x = 4.8. R... | 1.7 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (-2(-5(2x^2 + 1x - 1)) + 3)/(2(-5(2x^2 + 1x - 1)) - 1), g(x) = (1(-5x^2 + 4x - 5) - 1)/(-3(-5x^2 + 4x - 5) - 3), x = -0.8, and x = 0.3. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"... | 0.3 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -3|((-2(1(1x^2 - 3x + 5) + 2) + 3)/(3(1(1x^2 - 3x + 5) + 2) + 1)) + 3| + 2 and g(x) = -5(-3|((-2x - 2)/(-1x - 3)) + 2| - 1)^2 - 5(-3|((-2x - 2)/(-1x - 3)) + 2| - 1) - 2 between the vertical lines x = -2.0 and x = -1.9. Round to 1 de... | 0.3 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -2|((-2(-5(-2x^2 - 5x - 2) - 2) + 2)/(-2(-5(-2x^2 - 5x - 2) - 2) - 3)) + 3| + 2, g(x) = (-1(-2(4x^2 - 5x + 3)) - 1)/(2(-2(4x^2 - 5x + 3)) + 3), x = -2.1, and x = -2.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex form... | 5.4 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (1(-5(3(-2|x + 3|)^2 + 1(-2|x + 3|) - 3) - 3) - 1)/(1(-5(3(-2|x + 3|)^2 + 1(-2|x + 3|) - 3) - 3) - 2) and g(x) = 2(-3sin(1π(2|x| + 3) - 1) + 3)^2 + 5(-3sin(1π(2|x| + 3) - 1) + 3) - 2 from x = 3.0 to x = 3.8. Round to 1 decimal place.\n\nPres... | 39.4 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 1|((1(2e^(2x) + 2) + 3)/(-1(2e^(2x) + 2) - 3)) - 2| and g(x) = 5(4x^2 + 3x - 1) + 5 between the vertical lines x = -0.9 and x = 0.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 4.2 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 1|((1(4x - 3) - 1)/(2(4x - 3) + 2)) + 2| + 3 and g(x) = (2(-3sin(1πx) - 2) + 1)/(-2(-3sin(1πx) - 2) + 1) from x = 1.3 to x = 1.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | 13.0 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (-1(-3|(-5x - 3) + 3| - 2) - 1)/(1(-3|(-5x - 3) + 3| - 2)) and g(x) = (-2(5x + 2) - 1)/(2(5x + 2) + 2) between the vertical lines x = -0.2 and x = 0.8. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your an... | 0.1 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 5(-1((-1(-3|x + 1| + 2) + 2)/(1(-3|x + 1| + 2)))^2 - 4((-1(-3|x + 1| + 2) + 2)/(1(-3|x + 1| + 2))) + 1) - 3 and g(x) = 2((-3(1x) + 1)/(-2(1x) + 3))^2 - 1((-3(1x) + 1)/(-2(1x) + 3)) - 5 between the vertical lines x = 1.1 and x = 2.3.... | -42.8 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 5(4(-3|((1x + 2)/(-3x + 1)) + 3| + 2)^2 - 1) - 1 and g(x) = 5(4(-2|x - 1| + 3)^2 - 2(-2|x - 1| + 3)) + 2 from x = 0.5 to x = 1.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
... | 36.2 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -2(-3(-1sin(1π((1x - 1)/(1x + 2))) - 2) - 5)^2 - 2(-3(-1sin(1π((1x - 1)/(1x + 2))) - 2) - 5) + 4 and g(x) = 1|(3((-2x - 1)/(2x))^2 - 3) - 3| - 2 from x = -1.0 to x = -0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\bo... | 12.0 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (2(-3(1(1cos(2πx)) + 3)^2 - 5(1(1cos(2πx)) + 3) + 4) + 3)/(-1(-3(1(1cos(2πx)) + 3)^2 - 5(1(1cos(2πx)) + 3) + 4) + 2), g(x) = (-2(-4(3x - 2)^2 + 5(3x - 2) + 5) - 1)/(2(-4(3x - 2)^2 + 5(3x - 2) + 5) - 1), x = 0.5, and x = 1.2. Round your answe... | 0.4 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -2|(2((-1(5x + 2) - 2)/(-1(5x + 2) - 3))^2 - 1((-1(5x + 2) - 2)/(-1(5x + 2) - 3)) - 3) - 1| + 3 and g(x) = -2cos(2π(3(-5x^2 - 2x + 1) - 3) - 2) + 3 from x = -1.2 to x = -0.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \... | -3.3 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -3|(-1(-5((-2x - 2)/(-2x - 1)) - 2)^2 - 5(-5((-2x - 2)/(-2x - 1)) - 2) - 4)| - 1 and g(x) = -1e^(1(-2(-1x + 2)^2 - 3(-1x + 2))) - 2 from x = -1.4 to x = -1.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answ... | 0.1 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 3|((-3(5x) + 1)/(-1(5x) + 2)) - 2| - 2 and g(x) = 2sin(1π(-3x - 2) - 3) - 1 from x = -3.7 to x = -3.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0.9 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (-2(-3(2(3|x - 2| - 1)^2 + 4(3|x - 2| - 1) + 5) + 5) + 3)/(-1(-3(2(3|x - 2| - 1)^2 + 4(3|x - 2| - 1) + 5) + 5) + 2), g(x) = 2|((3(-3x^2 - 5x - 3) + 1)/(-3(-3x^2 - 5x - 3) + 1))|, x = 1.6, and x = 2.6. Round your answer to 1 decimal place.\n\... | 0.1 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (-3(-5(2cos(1πx - 1) - 2) - 5) + 1)/(3(-5(2cos(1πx - 1) - 2) - 5) + 1), g(x) = 2|((-1x + 2)/(-3x)) + 1| + 1, x = 2.6, and x = 4.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role"... | 6.1 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 2|(-4(1((-3x - 1)/(-2x + 3)) + 5)^2 - 2(1((-3x - 1)/(-2x + 3)) + 5) - 5) - 2| - 3 and g(x) = 3|(1(-2cos(2πx + 3))^2 + 5(-2cos(2πx + 3))) - 3| + 3 between the vertical lines x = 1.0 and x = 1.2. Round to 1 decimal place.\n\nPresent t... | 3.6 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 5(2|((-1x + 2)/(1x)) - 2| + 1) - 3, g(x) = 4(-1sin(2πx) + 1)^2 + 1(-1sin(2πx) + 1) + 4, x = 0.5, and x = 1.0. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 4.9 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -2(-1e^(1(3|x - 2| - 1)) + 3) - 4, g(x) = -5(-1sin(3πx + 1)) - 5, x = 1.3, and x = 1.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1.2 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (-1(-1(2sin(3π(2x^2 - 2x) - 3) + 2) - 4) + 3)/(-2(-1(2sin(3π(2x^2 - 2x) - 3) + 2) - 4) - 1) and g(x) = (1(4(1x^2 + 3x - 3) + 5))/(1(4(1x^2 + 3x - 3) + 5) - 2) from x = -0.9 to x = -0.8. Round to 1 decimal place.\n\nPresent the answer in LaTe... | 0.0 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (2(2(-1(2|x + 2| + 3)^2 + 3(2|x + 2| + 3) + 3) + 4) + 1)/(1(2(-1(2|x + 2| + 3)^2 + 3(2|x + 2| + 3) + 3) + 4) + 1) and g(x) = -2((1(-1cos(2πx + 3) + 3) + 3)/(2(-1cos(2πx + 3) + 3) + 1))^2 + 3((1(-1cos(2πx + 3) + 3) + 3)/(2(-1cos(2πx ... | 5.6 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (3(-3(-1|(3x - 5) - 3| + 1)^2 - 2(-1|(3x - 5) - 3| + 1) + 4) - 3)/(-3(-3(-1|(3x - 5) - 3| + 1)^2 - 2(-1|(3x - 5) - 3| + 1) + 4) - 2), g(x) = (-2(-5(-3sin(2πx + 1))^2 - 5(-3sin(2πx + 1)) - 4) - 1)/(-2(-5(-3sin(2πx + 1))^2 - 5(-3sin(2πx + 1)) ... | 1.1 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 2cos(2π(-2((-1x + 1)/(2x + 1))) + 1) + 3, g(x) = (-1(-1x^2 - 4x - 2) - 2)/(-3(-1x^2 - 4x - 2) + 1), x = -3.2, and x = -1.2. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user... | 5.1 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (-1(-2|(-1(1x + 4)^2 - 5(1x + 4) - 2) - 2| + 1) + 1)/(-1(-2|(-1(1x + 4)^2 - 5(1x + 4) - 2) - 2| + 1) + 2) and g(x) = -1(-5(2|x + 2| - 3) + 5)^2 - 5(-5(2|x + 2| - 3) + 5) between the vertical lines x = -4.5 and x = -4.0. Round to 1 d... | 1.7 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (-2(3|(1(-4x)^2 - 5(-4x) - 2) - 2| - 2) - 2)/(-1(3|(1(-4x)^2 - 5(-4x) - 2) - 2| - 2)), g(x) = (-1(3|(3e^(1x) - 1) - 3| + 2) - 1)/(1(3|(3e^(1x) - 1) - 3| + 2)), x = -1.4, and x = 0.2. Round your answer to 1 decimal place.\n\nPresent the answe... | 5.6 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (1(-3sin(2π(-1(2x + 4)^2 + 2(2x + 4) - 3) - 1) - 3) + 1)/(-3(-3sin(2π(-1(2x + 4)^2 + 2(2x + 4) - 3) - 1) - 3) - 1) and g(x) = (-2(-1|(1x^2 + 1x + 1) - 1| + 1))/(-2(-1|(1x^2 + 1x + 1) - 1| + 1) + 1) from x = -2.2 to x = -2.0. Round to 1 decim... | 0.2 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -3sin(3π(-1(5((-1x - 3)/(3x)) + 4)^2 - 1(5((-1x - 3)/(3x)) + 4) + 1) + 2), g(x) = 2|(2sin(1π(3x + 2) - 1) + 2) - 3| + 2, x = -0.3, and x = -0.19999999999999998. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\b... | 0.3 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -2e^(-2(1(1|x + 2| + 3)^2 - 4(1|x + 2| + 3) + 2)) + 2 and g(x) = -4(-1cos(3πx - 2) - 1) - 1 between the vertical lines x = -1.3 and x = -0.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 1.3 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (2(-1(-2cos(3π(-2|x - 3|) - 2) + 3) - 2))/(2(-1(-2cos(3π(-2|x - 3|) - 2) + 3) - 2) - 1) and g(x) = -1|(4((1x + 2)/(-2x + 1)) - 4) - 2| + 3 between the vertical lines x = -0.3 and x = 0.0. Round to 1 decimal place.\n\nPresent the ans... | 0.3 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 3((-2(2x^2 - 1x + 4) - 3)/(-3(2x^2 - 1x + 4) + 4)) and g(x) = -3(2cos(3πx + 2) - 2) - 4 from x = -0.4 to x = -0.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2.0 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 4((3(1(-2e^(-2x))^2 + 2(-2e^(-2x)) - 3) + 1)/(-3(1(-2e^(-2x))^2 + 2(-2e^(-2x)) - 3) + 4)) + 3, g(x) = 2(3cos(2π(1|x - 2| - 3) - 3) - 1)^2 - 5(3cos(2π(1|x - 2| - 3) - 3) - 1), x = -4.7, and x = -4.3. Round your answer to 1 decimal place.\n\nP... | 0.6 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -1|(-1(1((-3x + 1)/(2x + 1))^2 - 5((-3x + 1)/(2x + 1)) - 4) + 3) - 2| + 2, g(x) = (3(-1(3|x| + 2) - 2) + 2)/(2(-1(3|x| + 2) - 2)), x = 1.2, and x = 1.8. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{You... | 0.2 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -3sin(2π(3(1x + 1)^2 + 4(1x + 1) + 2) - 3) + 2, g(x) = (2(2x^2 + 4x + 1) + 2)/(-2(2x^2 + 4x + 1)), x = -0.7, and x = -0.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"... | 0.1 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 4((-1(2|(1x^2 + 2x + 1) - 3| + 1) + 3)/(1(2|(1x^2 + 2x + 1) - 3| + 1) - 2)) - 5 and g(x) = 5(-5((2x - 1)/(1x))^2 + 2((2x - 1)/(1x)) - 1) - 2 between the vertical lines x = -2.9 and x = -2.6. Round to 1 decimal place.\n\nPresent the ... | 51.9 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (3(3(-1|(1e^(2x)) - 2| + 1) - 1) + 1)/(-2(3(-1|(1e^(2x)) - 2| + 1) - 1) - 3) and g(x) = (-2(3|(-4x + 2) + 1| + 1))/(-1(3|(-4x + 2) + 1| + 1) - 1) from x = 0.0 to x = 0.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\box... | 1.9 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -1sin(3π(-1(-2|x| + 1) + 4)) + 1 and g(x) = 3cos(1π(1x - 3) - 3) + 1 between the vertical lines x = -3.5 and x = -2.6. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 2.0 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (-1(-2|(2(-3x^2 - 2x + 1) + 2)| + 3) - 3)/(2(-2|(2(-3x^2 - 2x + 1) + 2)| + 3) - 3) and g(x) = (-2(3(3cos(1πx) - 2) + 2) - 2)/(-3(3(3cos(1πx) - 2) + 2) + 1) between the vertical lines x = -4.4 and x = -3.6. Round to 1 decimal place.\... | 2.3 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 4((-2(-1|(4x - 3)| - 1) + 3)/(3(-1|(4x - 3)| - 1) + 2))^2 + 3((-2(-1|(4x - 3)| - 1) + 3)/(3(-1|(4x - 3)| - 1) + 2)) - 5 and g(x) = -5((-3(-2|x + 1| + 1) - 3)/(-2(-2|x + 1| + 1) + 3))^2 - 4((-3(-2|x + 1| + 1) - 3)/(-2(-2|x + 1| + 1) ... | 28.6 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 1cos(3π(-3(-1|x| - 2)^2 - 5(-1|x| - 2) - 3) - 3) + 1 and g(x) = 1(-2|x - 1| + 3) between the vertical lines x = 1.7 and x = 1.8. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "us... | 0.1 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -2(-2((2(-2|x + 1| - 1))/(1(-2|x + 1| - 1) - 3))^2 + 5((2(-2|x + 1| - 1))/(1(-2|x + 1| - 1) - 3)) + 2) + 4 and g(x) = (-2(-3|(-5x - 1) + 1|) + 2)/(3(-3|(-5x - 1) + 1|) + 2) between the vertical lines x = -0.1 and x = 0.1. Round to 1... | 5.1 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (-1(3sin(2π(-2(3|x + 1| + 1)^2 - 5(3|x + 1| + 1)) - 2) + 1) - 3)/(-2(3sin(2π(-2(3|x + 1| + 1)^2 - 5(3|x + 1| + 1)) - 2) + 1) - 2) and g(x) = 3((-1(-1|x - 3|) + 3)/(3(-1|x - 3|) - 2)) - 3 between the vertical lines x = 2.1 and x = 2.... | 0.7 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -4(-2sin(2π(-5(-1|x + 1| + 2)^2 - 3) + 2) + 2) + 3 and g(x) = 2sin(2π(-3(5x - 3)^2 - 1(5x - 3) + 3) + 3) between the vertical lines x = 2.7 and x = 2.8000000000000003. Round to 1 decimal place.\n\nPresent the answer in LaTex format:... | 0.6 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (-2(-5(3|(-4x + 2) + 2| - 1)^2 - 2(3|(-4x + 2) + 2| - 1) + 1) + 2)/(2(-5(3|(-4x + 2) + 2| - 1)^2 - 2(3|(-4x + 2) + 2| - 1) + 1)) and g(x) = 1|((-1(3e^(-2x) + 3) + 2)/(1(3e^(-2x) + 3) + 2)) - 1| between the vertical lines x = 1.0 and... | 0.4 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 3|(-1(-3((2x + 2)/(-1x - 2))^2 + 2((2x + 2)/(-1x - 2)) + 3) + 4) - 1| and g(x) = 3((3(2x^2 + 4) + 2)/(2(2x^2 + 4))) between the vertical lines x = -1.4 and x = -0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \... | 2.3 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 2|((3(3(1x^2 + 5x + 1) + 2) + 2)/(-1(3(1x^2 + 5x + 1) + 2) - 2)) + 2| - 1 and g(x) = 1(3|((-2x - 3)/(-1x + 3)) - 3| - 1)^2 + 4(3|((-2x - 3)/(-1x + 3)) - 3| - 1) + 4 from x = -0.5 to x = -0.4. Round to 1 decimal place.\n\nPresent the answer i... | 13.1 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (-1(-2(-2(-1|x + 3| - 1))^2 - 2) - 1)/(-3(-2(-2(-1|x + 3| - 1))^2 - 2) - 2) and g(x) = 2|(1(4x^2 - 1x + 3) - 5)| - 2 from x = 0.6 to x = 1.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role":... | 0.5 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (-1(-1|(3e^(-1(2x^2 + 2x + 4)))| + 2) - 3)/(3(-1|(3e^(-1(2x^2 + 2x + 4)))| + 2) - 2), g(x) = (3(-2(2|x| + 1)^2 + 4(2|x| + 1)) - 2)/(2(-2(2|x| + 1)^2 + 4(2|x| + 1)) - 3), x = -0.3, and x = 0.3. Round your answer to 1 decimal place.\n\nPresent... | 27.5 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 2(-4(1|((2x + 3)/(2x)) - 1| + 1)^2 - 2(1|((2x + 3)/(2x)) - 1| + 1)) + 1, g(x) = 3(-1((-3x)/(2x - 1))^2 + 2((-3x)/(2x - 1)) - 4) - 1, x = 0.4, and x = 0.9. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Y... | -42.7 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 1((1(4(3|x + 1| - 3) - 3) + 1)/(3(4(3|x + 1| - 3) - 3)))^2 + 2((1(4(3|x + 1| - 3) - 3) + 1)/(3(4(3|x + 1| - 3) - 3))) + 1 and g(x) = 2(-3cos(2π(-3x^2 - 5x + 5) + 1) - 2) + 2 from x = 4.4 to x = 4.5. Round to 1 decimal place.\n\nPresent the a... | 0.5 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -2|((2(-1sin(2πx - 1) - 3) + 3)/(1(-1sin(2πx - 1) - 3) + 1)) - 1|, g(x) = -2(2|x + 1| - 1) + 2, x = -2.0, and x = 0.3. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | 5.8 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -2((2(-2sin(3πx - 1) + 1) - 2)/(-1(-2sin(3πx - 1) + 1) - 1)) - 3 and g(x) = (3(-3|x + 3| - 3))/(-1(-3|x + 3| - 3) - 1) between the vertical lines x = -2.9 and x = -2.5. Round to 1 decimal place.\n\nPresent the answer in LaTex format... | 0.9 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -2((2(2|(-3x^2 + 5x + 3) + 1|) - 2)/(1(2|(-3x^2 + 5x + 3) + 1|) + 2)) + 5 and g(x) = -2sin(2π(-2|((-1x + 3)/(-2x - 1)) + 2| + 3) + 2) + 2 between the vertical lines x = -1.2 and x = -1.1. Round to 1 decimal place.\n\nPresent the ans... | 0.1 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -4((-3(-3|(1x + 4)| + 3) + 1)/(-1(-3|(1x + 4)| + 3) + 2))^2 - 1((-3(-3|(1x + 4)| + 3) + 1)/(-1(-3|(1x + 4)| + 3) + 2)) + 3, g(x) = -1|(1cos(3π(3x + 4) - 1) + 1) + 1| + 2, x = -3.2, and x = -3.0. Round your answer to 1 decimal place.\n\nPrese... | 0.5 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -3|((-1(1x^2 - 2x) + 1)/(2(1x^2 - 2x) + 2)) - 2| + 1, g(x) = 3e^(2((2x + 1)/(-1x - 1))) - 2, x = 0.5, and x = 1.5. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | -22.3 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -1|(-4(-2cos(2π(-2x^2 - 2x) - 3) + 3) + 4) - 2| - 3 and g(x) = -2|(-1((-3x + 1)/(2x + 3)) + 2)| + 2 from x = -3.1 to x = -3.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0.6 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 1(-5(2sin(1πx + 3) + 2)^2 + 2) + 1 and g(x) = (-3(-2sin(2πx - 2) - 3) + 3)/(-2(-2sin(2πx - 2) - 3) + 3) from x = 4.3 to x = 4.8. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0.6 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 1|((1(1x + 5) + 2)/(2(1x + 5) + 2)) - 2| - 3 and g(x) = (3(1|x + 2| - 1) - 1)/(-3(1|x + 2| - 1) + 2) between the vertical lines x = -4.1 and x = 0.2. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answ... | 13.5 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 2|(-2e^(2((2(-2x + 3) + 3)/(1(-2x + 3)))) - 1) - 2| - 1, g(x) = -1((3(2cos(3πx - 3) + 1))/(-3(2cos(3πx - 3) + 1) + 4)) - 1, x = 3.1, and x = 3.5. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answe... | 20.5 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 5(-3(-3sin(2π(3|x| + 1) - 1) + 3)^2 + 5(-3sin(2π(3|x| + 1) - 1) + 3) + 1) + 3, g(x) = 1((-1(2cos(3πx - 3) + 1) + 1)/(3(2cos(3πx - 3) + 1) - 2))^2 - 5((-1(2cos(3πx - 3) + 1) + 1)/(3(2cos(3πx - 3) + 1) - 2)) + 5, x = 4.5, and x = 4.7. Round yo... | 44.9 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (-1(2(-2|(-1x^2 + 1x + 2) - 2| - 2) - 5) - 1)/(-2(2(-2|(-1x^2 + 1x + 2) - 2| - 2) - 5) - 2), g(x) = -4(2sin(3π(-2|x - 3| - 1) + 3))^2 + 4(2sin(3π(-2|x - 3| - 1) + 3)) + 3, x = -2.0, and x = -1.9. Round your answer to 1 decimal place.\n\nPres... | 0.3 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -1|(-2cos(1π(-3x + 4) + 1) - 3) - 2| - 3 and g(x) = -1((1x + 3)/(3x))^2 - 1((1x + 3)/(3x)) + 5 between the vertical lines x = -0.2 and x = 0.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -14.0 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 2(-3cos(3π((1(1|x + 1| - 2) + 3)/(2(1|x + 1| - 2) + 3)) + 2) + 1)^2 + 1(-3cos(3π((1(1|x + 1| - 2) + 3)/(2(1|x + 1| - 2) + 3)) + 2) + 1) + 5 and g(x) = 1(3|(2cos(2πx + 3) + 3) - 1| + 3)^2 + 2(3|(2cos(2πx + 3) + 3) - 1| + 3) - 3 from x = -0.9 ... | 97.8 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -3(4((1x + 1)/(3x - 1))^2 - 3((1x + 1)/(3x - 1))) + 3 and g(x) = 3|(3x^2 + 2x - 2) + 1| + 2 between the vertical lines x = -1.1 and x = -0.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 0.1 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 3e^(-1(-3|(-1x^2 + 2x + 4) + 2| - 1)) - 2 and g(x) = 3|(-2x - 5) - 1| - 2 between the vertical lines x = 3.5 and x = 3.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}... | 4.2 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -1e^(2(-4(1x + 1)^2 - 3(1x + 1) + 4)) + 3, g(x) = -2(-3e^(1x) + 3) - 2, x = -0.4, and x = 0.6. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 3.8 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 2|(1(-4((3x + 2)/(3x - 2))^2 + 2((3x + 2)/(3x - 2)) - 1) + 2) - 3| - 3 and g(x) = -1(-3(2cos(3πx + 3) - 3) - 4)^2 + 2(-3(2cos(3πx + 3) - 3) - 4) + 2 from x = -3.8 to x = -3.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: ... | 0.2 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 2sin(1π((-2(-2|x| + 2) + 3)/(2(-2|x| + 2)))) + 2 and g(x) = 3(1|x - 2| + 1) between the vertical lines x = 1.9 and x = 2.3. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 0.1 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -1(1|(-1x - 2) + 2| + 2)^2 + 1(1|(-1x - 2) + 2| + 2), g(x) = -2(-3x + 2)^2 + 3(-3x + 2) - 2, x = 0.1, and x = 0.9. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1.5 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (3(-5(1|(5x^2 + 5) - 3| - 2) + 2))/(-1(-5(1|(5x^2 + 5) - 3| - 2) + 2) + 3) and g(x) = 1(2|((-1x + 3)/(1x - 2)) + 1| - 2) - 2 from x = 0.8 to x = 4.0. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | 85.6 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (-2(5(1(-1|x + 3| - 3)^2 + 3(-1|x + 3| - 3) - 5) - 3) - 1)/(2(5(1(-1|x + 3| - 3)^2 + 3(-1|x + 3| - 3) - 5) - 3) - 3), g(x) = -4(3cos(1π(-2|x - 2| - 2) + 1) + 2)^2 + 4, x = 2.9, and x = 3.5. Round your answer to 1 decimal place.\n\nPresent th... | 30.2 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (3(1(-5(1|x - 1| - 2)^2 - 1(1|x - 1| - 2) + 1) + 1) - 3)/(1(1(-5(1|x - 1| - 2)^2 - 1(1|x - 1| - 2) + 1) + 1) - 3) and g(x) = -2|(2e^(-1((2x - 2)/(1x))) + 3) - 3| + 1 between the vertical lines x = -1.5 and x = -0.3. Round to 1 decim... | 2.7 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (-1(-2(1(-1e^(-1x)) - 1)^2 - 2(1(-1e^(-1x)) - 1) + 3) - 3)/(-3(-2(1(-1e^(-1x)) - 1)^2 - 2(1(-1e^(-1x)) - 1) + 3) - 2) and g(x) = -3|(1(2x - 1)^2 + 3(2x - 1) + 1) - 2| + 1 between the vertical lines x = -1.1 and x = 0.0. Round to 1 d... | 7.2 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = 3|((-2(-2(1e^(-2x) + 2) + 3))/(-2(-2(1e^(-2x) + 2) + 3) + 3)) - 3| - 1, g(x) = -1((1(3|x| - 2))/(-2(3|x| - 2) - 2)) + 2, x = -0.3, and x = 0.3. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}... | 1.4 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -5((-1(-2|x - 2|) - 1)/(-1(-2|x - 2|) - 2)) - 3 and g(x) = -2sin(1π(2|x| + 3) - 2) + 1 from x = 1.3 to x = 2.8. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 7.3 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 1|(-4(-2((3x - 3)/(-3x - 1)) - 1)^2 - 1(-2((3x - 3)/(-3x - 1)) - 1) - 5) - 3| + 3 and g(x) = 1|(-1((-3x - 1)/(3x - 2)) - 1) + 1| - 1 from x = 0.6 to x = 0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answe... | 42.2 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 2|((-1(3x^2 - 4x) + 2)/(-1(3x^2 - 4x) - 1)) + 3| - 2 and g(x) = -2|(-1sin(3πx - 2) + 2) - 3| + 2 from x = 1.2 to x = 1.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 0.3 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (1(2(3e^(-1(4x + 3)) - 2)^2 - 5(3e^(-1(4x + 3)) - 2) - 2) + 3)/(-1(2(3e^(-1(4x + 3)) - 2)^2 - 5(3e^(-1(4x + 3)) - 2) - 2) + 2) and g(x) = 2sin(1π(4(1|x + 1| + 3)^2 + 1(1|x + 1| + 3) + 4) - 2) - 1 between the vertical lines x = 4.5 a... | 0.1 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -3|(1((1(5x - 5) + 2)/(-2(5x - 5) - 1))^2 + 4((1(5x - 5) + 2)/(-2(5x - 5) - 1)) + 1) - 2| + 2 and g(x) = 1sin(1π((2(-2|x - 2| + 1) + 3)/(3(-2|x - 2| + 1) - 1)) + 1) - 3 from x = 0.5 to x = 0.8. Round to 1 decimal place.\n\nPresent the answer... | 0.5 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = -3(-3((2x - 3)/(-3x)) + 1)^2 + 3(-3((2x - 3)/(-3x)) + 1) + 5, g(x) = (-2(-2sin(3πx - 3) + 2) + 1)/(2(-2sin(3πx - 3) + 2) + 3), x = 0.8, and x = 2.9. Round your answer to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your an... | 6.9 | MATH |
[
{
"content": "Find the area of the region bounded by the curves f(x) = (-1(-2|(3(-3x^2 + 2x + 2) - 5) - 2| + 2) - 2)/(2(-2|(3(-3x^2 + 2x + 2) - 5) - 2| + 2) + 1), g(x) = (3(1(-2x + 3)^2 + 2(-2x + 3) - 2) - 1)/(3(1(-2x + 3)^2 + 2(-2x + 3) - 2)), x = 1.1, and x = 2.9. Round your answer to 1 decimal place.\n\nPres... | 3.7 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 2cos(3π(-3((-2x - 3)/(-1x - 3)) - 1)) and g(x) = 4(3sin(2πx) + 2) + 5 between the vertical lines x = -1.2 and x = 0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 26.1 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -3(4(2|((-2x - 1)/(2x + 3)) - 2| - 1) - 5)^2 - 2(4(2|((-2x - 1)/(2x + 3)) - 2| - 1) - 5) + 4 and g(x) = -4(-2|(1sin(1πx - 2) + 2)| + 1)^2 - 5(-2|(1sin(1πx - 2) + 2)| + 1) - 3 between the vertical lines x = -1.2 and x = -1.1. Round t... | 8.5 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = -1((-1(-3x^2 + 2x + 3) - 1)/(-1(-3x^2 + 2x + 3) + 2)) - 4 and g(x) = -4(5x^2 - 1x) - 1 between the vertical lines x = 0.7 and x = 0.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role... | 0.2 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 2|(-3((2(2x + 1) + 3)/(-1(2x + 1)))^2 + 5((2(2x + 1) + 3)/(-1(2x + 1))) + 5) + 2| - 2 and g(x) = 4((3(-3e^(2x) + 1) - 3)/(3(-3e^(2x) + 1) + 2))^2 - 4((3(-3e^(2x) + 1) - 3)/(3(-3e^(2x) + 1) + 2)) - 2 from x = -0.8 to x = -0.7000000000000001. ... | 4.4 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (2(-2(3|(1x^2 - 1x - 2)| + 3) - 1) - 1)/(-3(-2(3|(1x^2 - 1x - 2)| + 3) - 1) - 2) and g(x) = (-1(-3(-3|x - 1| - 2) - 3) - 3)/(2(-3(-3|x - 1| - 2) - 3) + 2) from x = 0.9 to x = 1.1. Round to 1 decimal place.\n\nPresent the answer in LaTex form... | 0.0 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (2(3e^(2(1|x| - 1))) + 1)/(-2(3e^(2(1|x| - 1)))) and g(x) = (3(4x^2 - 4x - 5) + 2)/(3(4x^2 - 4x - 5) - 2) from x = -0.7 to x = 1.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
... | 5.0 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = -3|((3(1x^2 - 4) + 3)/(-3(1x^2 - 4) + 4)) + 3| + 1 and g(x) = -3((-1x + 2)/(-1x - 1)) + 4 from x = -3.1 to x = -2.4. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"role": "user"
}
] | 1.6 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 5(1((3x + 1)/(2x - 1))^2 - 5((3x + 1)/(2x - 1)) + 4) - 4 and g(x) = 5(4x + 3)^2 + 1(4x + 3) + 4 between the vertical lines x = 0.1 and x = 0.7. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
... | -124.7 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = (2(-4(-3|x + 2| + 1) + 3) + 1)/(2(-4(-3|x + 2| + 1) + 3) - 1) and g(x) = (-2(5x^2 + 1x + 3) - 1)/(1(5x^2 + 1x + 3) + 3) from x = -2.1 to x = -1.9. Round to 1 decimal place.\n\nPresent the answer in LaTex format: \\boxed{Your answer}",
"r... | 0.3 | MATH |
[
{
"content": "Calculate the area enclosed between the functions f(x) = 1(2|((-1(5x - 4) + 3)/(-2(5x - 4) + 1)) - 2|)^2 + 3(2|((-1(5x - 4) + 3)/(-2(5x - 4) + 1)) - 2|) + 3 and g(x) = 5(-3cos(1π((1x - 1)/(-2x - 2)) - 2) - 2)^2 + 2(-3cos(1π((1x - 1)/(-2x - 2)) - 2) - 2) + 2 from x = -1.2 to x = -1.0999999999999999... | 3.2 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = 4(4(-3cos(2π((-2x - 3)/(-2x + 1)) - 2) + 3) - 4)^2 + 5(4(-3cos(2π((-2x - 3)/(-2x + 1)) - 2) + 3) - 4) - 5 and g(x) = 2((1(-1sin(2πx + 3) - 2) - 3)/(-3(-1sin(2πx + 3) - 2) - 2))^2 + 5((1(-1sin(2πx + 3) - 2) - 3)/(-3(-1sin(2πx + 3) - ... | 2.1 | MATH |
[
{
"content": "Determine the area of the region enclosed by the graphs of f(x) = (2(2|(1(5x^2 - 5x - 4) - 5) + 1| - 1) + 2)/(3(2|(1(5x^2 - 5x - 4) - 5) + 1| - 1) - 2) and g(x) = (2(2e^(1(2x))) + 2)/(3(2e^(1(2x))) - 1) between the vertical lines x = -0.8 and x = 0.9. Round to 1 decimal place.\n\nPresent the answe... | 2.2 | MATH |
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