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48 - 14 t + t^2 = 0 \implies t \in \{ 6, 8 \} |
\lim_{u \to -2} \left(\sin{\left(u\right)}\right) = -\sin{\left(2\right)} |
30 - 11 x + x^2 = 0 \implies x \in \{ 5, 6 \} |
3 - 4 c + c^2 = 0 \implies c \in \{ 1, 3 \} |
\lim_{z \to -2} \left(\cos{\left(z\right)}\right) = \cos{\left(2\right)} |
\frac{d}{dt}\left(\cos{\left(t\right)}\right) = -\sin{\left(t\right)} |
-7 + z = 0 \implies z = 7 |
f(x) = 4 + 5 x + x^2, \quad g(a) = 4 + 2 a \implies f(g(a)) = 40 + 26 a + 4 a^2 |
28 + 11 c + c^2 = 0 \implies c \in \{ -7, -4 \} |
\log_{2}\left(8 + 3 t\right) = 3 \implies t = 0 |
32 t + 12 t^2 + t^3 = 0 \implies t \in \{ -8, -4, 0 \} |
-6 - 5 t + t^2 = 0 \implies t \in \{ -1, 6 \} |
18 + 30 = 48 |
\lim_{c \to -4} \left(c^4\right) = 256 |
f(z) = 2 + 5 z + z^2, \quad g(w) = 1 + 3 w \implies f(g(w)) = 8 + 21 w + 9 w^2 |
\left(-4 - v\right) \left(-8 + v\right) = 32 + 4 v - v^2 |
\frac{43}{25} = \frac{43}{25} |
-42 + v + v^2 = 0 \implies v \in \{ -7, 6 \} |
84 - 37 v + v^3 = 0 \implies v \in \{ -7, 3, 4 \} |
14 \cdot 4 = 56 |
\log_{2}\left(4 + 2 t\right) = 3 \implies t = 2 |
-8 + z = 0 \implies z = 8 |
\lim_{t \to -2} \left(\cos{\left(t\right)}\right) = \cos{\left(2\right)} |
\frac{7}{39} = \frac{7}{39} |
3 z + z^2 = 0 \implies z \in \{ -3, 0 \} |
8 + 9 a + a^2 = 0 \implies a \in \{ -8, -1 \} |
46 + 5 = 51 |
\left(-a + z\right) a = a z - a^2 |
\lim_{x \to 2} \left(4\right) = 4 |
\log_{4}\left(2 + 4 u\right) = 1 \implies u = \frac{1}{2} |
\int \left(2 u + \sin{\left(u\right)}\right) du = 1 + u^2 - \cos{\left(u\right)} + C |
\lim_{t \to -1} \left(8\right) = 8 |
\frac{d}{dw}\left(\sin{\left(w\right)} \left(-10 + w\right)\right) = \cos{\left(w\right)} \left(-10 + w\right) + \sin{\left(w\right)} |
v^3 \left(v + z\right) = v^3 z + v^4 |
-3 x + 2 x^2 + x^3 = 0 \implies x \in \{ -3, 0, 1 \} |
\log_{5}\left(6 + 3 c\right) = 3 \implies c = \frac{119}{3} |
\log_{5}\left(1 + t\right) = 3 \implies t = 124 |
-10 + 16 = 6 |
\lim_{b \to 1} \left(0\right) = 0 |
f(z) = 2 + 2 z + z^2, \quad g(a) = 2 + 2 a \implies f(g(a)) = 10 + 12 a + 4 a^2 |
35 + 24 = 59 |
\log_{4}\left(6 + 2 b\right) = 2 \implies b = 5 |
25 \cdot 8 = 200 |
f(c) = 3 + 2 c + c^2, \quad g(z) = 4 + 3 z \implies f(g(z)) = 27 + 30 z + 9 z^2 |
f(v) = 4 + 3 v + v^2, \quad g(t) = 1 + t \implies f(g(t)) = 8 + 5 t + t^2 |
-14 + 5 v + v^2 = 0 \implies v \in \{ -7, 2 \} |
42 - 13 c + c^2 = 0 \implies c \in \{ 6, 7 \} |
\sin{\left(w\right)} \left(-3 + w\right) = w \sin{\left(w\right)} - 3 \sin{\left(w\right)} |
f(y) = 4 + 5 y + y^2, \quad g(v) = 2 + v \implies f(g(v)) = 18 + 9 v + v^2 |
\log_{5}\left(5 + 2 x\right) = 2 \implies x = 10 |
\lim_{y \to -5} \left(9 - y\right) = 14 |
\log_{5}\left(8 + 3 z\right) = 3 \implies z = 39 |
30 \cdot 22 = 660 |
-30 + v + v^2 = 0 \implies v \in \{ -6, 5 \} |
-1 + u = 0 \implies u = 1 |
\log_{2}\left(3 + 3 y\right) = 1 \implies y = \frac{-1}{3} |
f(c) = 5 + 2 c + c^2, \quad g(x) = 3 + 3 x \implies f(g(x)) = 20 + 24 x + 9 x^2 |
-1 + y^2 = 0 \implies y \in \{ -1, 1 \} |
\frac{43}{13} = \frac{43}{13} |
\lim_{t \to -2} \left(t^4\right) = 16 |
\int \left(1 - \sin{\left(w\right)}\right) dw = -1 + w + \cos{\left(w\right)} + C |
(-1, 4, 1) \times (0, 4, -3) = (-16, -3, -4) |
(-3, -1, -2) \times (1, -3, -1) = (-5, -5, 10) |
f(c) = 1 + c + c^2, \quad g(u) = 3 + 2 u \implies f(g(u)) = 13 + 14 u + 4 u^2 |
-6 + 5 c + c^2 = 0 \implies c \in \{ -6, 1 \} |
-42 + z + z^2 = 0 \implies z \in \{ -7, 6 \} |
\int \left(2 a\right) da = a^2 + C |
f(y) = 4 + 4 y + y^2, \quad g(a) = 1 + 3 a \implies f(g(a)) = 9 + 18 a + 9 a^2 |
(-3, -1, 4) \times (1, -1, 0) = (4, 4, 4) |
\lim_{u \to -3} \left(2 u\right) = -6 |
f(v) = 4 + v + v^2, \quad g(z) = 4 + 2 z \implies f(g(z)) = 24 + 18 z + 4 z^2 |
-19 \cdot 15 = -285 |
\int \left(2 b\right) db = b^2 + C |
\int \left(3 b^2\right) db = b^3 + C |
\lim_{x \to -4} \left(0\right) = 0 |
\int \left(6 x\right) dx = 3 x^2 + C |
8 + c = 0 \implies c = -8 |
\int \left(1 - 2 w\right) dw = w - w^2 + C |
\log_{4}\left(1 + 2 c\right) = 1 \implies c = \frac{3}{2} |
\log_{3}\left(1 + 3 y\right) = 2 \implies y = \frac{8}{3} |
35 \cdot 20 = 700 |
1 + t = 0 \implies t = -1 |
-5 + x = 0 \implies x = 5 |
\log_{4}\left(7 + 3 z\right) = 1 \implies z = -1 |
\lim_{v \to 0} \left(-1 + v\right) = -1 |
\frac{23}{16} = \frac{23}{16} |
(-3, 1, 3) \times (-3, -3, -3) = (6, -18, 12) |
-15 - 37 = -52 |
\lim_{z \to -5} \left(z^2\right) = 25 |
f(c) = 2 + 5 c + c^2, \quad g(z) = 1 + z \implies f(g(z)) = 8 + 7 z + z^2 |
f(u) = 4 + 3 u + u^2, \quad g(x) = 4 + 3 x \implies f(g(x)) = 32 + 33 x + 9 x^2 |
\left(-6 + a\right) \left(-5 + w\right) = 30 - 5 a - 6 w + a w |
f(y) = 3 + y + y^2, \quad g(w) = 4 + 3 w \implies f(g(w)) = 23 + 27 w + 9 w^2 |
f(b) = 5 + 2 b + b^2, \quad g(a) = 3 + 2 a \implies f(g(a)) = 20 + 16 a + 4 a^2 |
w^2 \left(-5 + v\right) = v w^2 - 5 w^2 |
40 \cdot 19 = 760 |
\frac{d}{dw}\left(\sin{\left(w\right)}\right) = \cos{\left(w\right)} |
f(w) = 2 + 3 w + w^2, \quad g(x) = 2 + 2 x \implies f(g(x)) = 12 + 14 x + 4 x^2 |
(4, -3, 2) \times (4, 3, -5) = (9, 28, 24) |
-40 - 50 = -90 |
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