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\log_{2}\left(7 + 4 a\right) = 2 \implies a = \frac{-3}{4} |
\log_{2}\left(2 + 3 x\right) = 2 \implies x = \frac{2}{3} |
\int \left(1\right) dz = z + C |
\log_{5}\left(2 + t\right) = 1 \implies t = 3 |
(-2, 5, -5) \times (-2, 4, -5) = (-5, 0, 2) |
\lim_{c \to 1} \left(c\right) = 1 |
-8 t + t^2 = 0 \implies t \in \{ 0, 8 \} |
\log_{3}\left(4 + 4 c\right) = 1 \implies c = \frac{-1}{4} |
(-5, -5, 0) \times (5, 0, -1) = (5, -5, 25) |
18 \cdot 43 = 774 |
\log_{4}\left(1 + 2 v\right) = 3 \implies v = \frac{63}{2} |
\frac{16}{39} = \frac{16}{39} |
\frac{50}{17} = \frac{50}{17} |
\log_{2}\left(5 + 2 y\right) = 3 \implies y = \frac{3}{2} |
\log_{4}\left(3 + v\right) = 3 \implies v = 61 |
(-5, 2, 2) \times (-4, 4, -3) = (-14, -23, -12) |
32 - 12 u + u^2 = 0 \implies u \in \{ 4, 8 \} |
-8 - 7 b + b^2 = 0 \implies b \in \{ -1, 8 \} |
\lim_{b \to -3} \left(\cos{\left(b\right)}\right) = \cos{\left(3\right)} |
-23 - 40 = -63 |
6 + 7 b + b^2 = 0 \implies b \in \{ -6, -1 \} |
(-3, -2, 2) \times (-3, 2, 5) = (-14, 9, -12) |
\left(-t + w\right) \cos{\left(w\right)} = -t \cos{\left(w\right)} + w \cos{\left(w\right)} |
\frac{d}{dt}\left(10 + t - \sin{\left(t\right)}\right) = 1 - \cos{\left(t\right)} |
(2, 0, 5) \times (1, -4, -5) = (20, 15, -8) |
\lim_{y \to 1} \left(y^3\right) = 1 |
-6 + c = 0 \implies c = 6 |
(3, 2, 4) \times (2, 0, 5) = (10, -7, -4) |
(3, -3, 1) \times (4, -5, -3) = (14, 13, -3) |
\log_{4}\left(2 + 2 z\right) = 2 \implies z = 7 |
\log_{4}\left(1 + 2 y\right) = 3 \implies y = \frac{63}{2} |
f(u) = 5 + u + u^2, \quad g(w) = 2 + 2 w \implies f(g(w)) = 11 + 10 w + 4 w^2 |
7 + 16 = 23 |
f(v) = 4 + v + v^2, \quad g(z) = 2 + z \implies f(g(z)) = 10 + 5 z + z^2 |
(4, 5, 5) \times (-2, -5, 3) = (40, -22, -10) |
\lim_{y \to 0} \left(-5 + y\right) = -5 |
\frac{d}{dy}\left(y\right) = 1 |
\frac{d}{dc}\left(c\right) = 1 |
\frac{21}{50} = \frac{21}{50} |
-33 - 4 = -37 |
21 + 10 v + v^2 = 0 \implies v \in \{ -7, -3 \} |
(-3, -1, 3) \times (1, -1, -3) = (6, -6, 4) |
f(a) = 3 + 4 a + a^2, \quad g(t) = 2 + 3 t \implies f(g(t)) = 15 + 24 t + 9 t^2 |
\int \left(1\right) dv = v + C |
\frac{-8}{28} = \frac{-2}{7} |
(2, 1, 4) \times (0, 2, 1) = (-7, -2, 4) |
-10 + 3 a + a^2 = 0 \implies a \in \{ -5, 2 \} |
28 y - 11 y^2 + y^3 = 0 \implies y \in \{ 0, 4, 7 \} |
\frac{d}{db}\left(\sin{\left(b\right)}\right) = \cos{\left(b\right)} |
\lim_{v \to -1} \left(\sin{\left(v\right)}\right) = -\sin{\left(1\right)} |
-30 - w + w^2 = 0 \implies w \in \{ -5, 6 \} |
\log_{5}\left(4 + 2 b\right) = 3 \implies b = \frac{121}{2} |
7 - 18 = -11 |
-3 + z = 0 \implies z = 3 |
-8 - 2 a + a^2 = 0 \implies a \in \{ -2, 4 \} |
16 c - 10 c^2 + c^3 = 0 \implies c \in \{ 0, 2, 8 \} |
\log_{5}\left(1 + 4 x\right) = 1 \implies x = 1 |
z^4 \left(-w + z\right) = -w z^4 + z^5 |
f(a) = 2 + 4 a + a^2, \quad g(v) = 2 + 2 v \implies f(g(v)) = 14 + 16 v + 4 v^2 |
\log_{5}\left(6 + z\right) = 3 \implies z = 119 |
27 - 47 = -20 |
\int \left(2 a\right) da = a^2 + C |
-7 + 6 u + u^2 = 0 \implies u \in \{ -7, 1 \} |
3 a + a^2 = 0 \implies a \in \{ -3, 0 \} |
\int \left(1\right) da = a + C |
\lim_{x \to 4} \left(2 x\right) = 8 |
\frac{-7}{1} = -7 |
\lim_{x \to 5} \left(x^2\right) = 25 |
\frac{d}{da}\left(\sin{\left(a\right)} + \cos{\left(a\right)}\right) = -\sin{\left(a\right)} + \cos{\left(a\right)} |
\frac{d}{dx}\left(x^2\right) = 2 x |
-2 + a = 0 \implies a = 2 |
(1, -2, -2) \times (0, 1, -5) = (12, 5, 1) |
(-5, 1, 5) \times (-1, 0, 5) = (5, 20, 1) |
\log_{3}\left(8 + 2 a\right) = 3 \implies a = \frac{19}{2} |
44 - 32 = 12 |
\int \left(3 v^2\right) dv = v^3 + C |
4 \cdot 37 = 148 |
-20 + z + z^2 = 0 \implies z \in \{ -5, 4 \} |
-11 + 2 = -9 |
-8 - 2 y + y^2 = 0 \implies y \in \{ -2, 4 \} |
(-1, 5, 3) \times (0, 4, 0) = (-12, 0, -4) |
37 - 13 = 24 |
80 - 34 y - 5 y^2 + y^3 = 0 \implies y \in \{ -5, 2, 8 \} |
-34 \cdot 41 = -1394 |
(-2, 0, -1) \times (-1, -3, 2) = (-3, 5, 6) |
\log_{5}\left(4 + 2 b\right) = 3 \implies b = \frac{121}{2} |
\log_{5}\left(6 + z\right) = 3 \implies z = 119 |
\int \left(1\right) dw = w + C |
(1, -3, 5) \times (-4, -5, 2) = (19, -22, -17) |
-6 + 5 z + z^2 = 0 \implies z \in \{ -6, 1 \} |
-30 + y + y^2 = 0 \implies y \in \{ -6, 5 \} |
-30 + 31 b - 10 b^2 + b^3 = 0 \implies b \in \{ 2, 3, 5 \} |
(-2, -2, -5) \times (-5, -4, -2) = (-16, 21, -2) |
f(y) = 2 + 4 y + y^2, \quad g(c) = 1 + 2 c \implies f(g(c)) = 7 + 12 c + 4 c^2 |
f(u) = 5 + 3 u + u^2, \quad g(x) = 3 + x \implies f(g(x)) = 23 + 9 x + x^2 |
(0, 4, -3) \times (-1, 2, -2) = (-2, 3, 4) |
\log_{3}\left(7 + 2 b\right) = 2 \implies b = 1 |
\frac{d}{du}\left(-u^2\right) = -2 u |
\frac{35}{45} = \frac{7}{9} |
-7 + x = 0 \implies x = 7 |
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