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-8 - 2 w + w^2 = 0 \implies w \in \{ -2, 4 \} |
z \left(y - z\right) = y z - z^2 |
\lim_{v \to 4} \left(2 v\right) = 8 |
\int \left(3\right) dc = 3 c + C |
\log_{4}\left(4 + 2 v\right) = 1 \implies v = 0 |
f(u) = 1 + 2 u + u^2, \quad g(z) = 1 + 3 z \implies f(g(z)) = 4 + 12 z + 9 z^2 |
\lim_{c \to -1} \left(c\right) = -1 |
16 - 10 c - 7 c^2 + c^3 = 0 \implies c \in \{ -2, 1, 8 \} |
\int \left(1\right) db = b + C |
(-1, -1, 3) \times (-5, -5, -5) = (20, -20, 0) |
\frac{d}{dz}\left(4 - z - z^3\right) = -1 - 3 z^2 |
-40 + 48 = 8 |
\int \left(1\right) dx = x + C |
48 \cdot 34 = 1632 |
60 - 7 z - 6 z^2 + z^3 = 0 \implies z \in \{ -3, 4, 5 \} |
\log_{4}\left(7 + 3 b\right) = 3 \implies b = 19 |
12 - 8 y + y^2 = 0 \implies y \in \{ 2, 6 \} |
\frac{d}{dx}\left(x^3\right) = 3 x^2 |
(-1, -2, 1) \times (-1, 5, -3) = (1, -4, -7) |
-4 + u = 0 \implies u = 4 |
\frac{d}{dt}\left(4 + t^3\right) = 3 t^2 |
\log_{4}\left(2 + 3 x\right) = 2 \implies x = \frac{14}{3} |
16 \cdot 1 = 16 |
42 - 13 z + z^2 = 0 \implies z \in \{ 6, 7 \} |
4 - 5 u + u^2 = 0 \implies u \in \{ 1, 4 \} |
\lim_{v \to -2} \left(\sin{\left(v\right)}\right) = -\sin{\left(2\right)} |
-5 + u = 0 \implies u = 5 |
f(w) = 4 + 5 w + w^2, \quad g(c) = 4 + c \implies f(g(c)) = 40 + 13 c + c^2 |
\log_{4}\left(5 + 4 c\right) = 1 \implies c = \frac{-1}{4} |
\lim_{t \to -3} \left(\sin{\left(t\right)}\right) = -\sin{\left(3\right)} |
\int \left(4 w^3\right) dw = w^4 + C |
f(a) = 2 + 4 a + a^2, \quad g(t) = 3 + t \implies f(g(t)) = 23 + 10 t + t^2 |
f(x) = 2 + 4 x + x^2, \quad g(y) = 3 + y \implies f(g(y)) = 23 + 10 y + y^2 |
\frac{32}{27} = \frac{32}{27} |
6 + t = 0 \implies t = -6 |
\frac{d}{du}\left(2 u \left(-9 - u\right)\right) = -2 u + 2 \left(-9 - u\right) |
(-1, 5, 0) \times (-1, 0, 0) = (0, 0, 5) |
f(u) = 5 + 5 u + u^2, \quad g(t) = 3 + 2 t \implies f(g(t)) = 29 + 22 t + 4 t^2 |
f(b) = 1 + 4 b + b^2, \quad g(a) = 4 + 2 a \implies f(g(a)) = 33 + 24 a + 4 a^2 |
t \left(6 + t\right) = 6 t + t^2 |
-5 + t = 0 \implies t = 5 |
\lim_{z \to -4} \left(2 z\right) = -8 |
-23 - 13 = -36 |
-2 - z + z^2 = 0 \implies z \in \{ -1, 2 \} |
\log_{2}\left(4 + 2 u\right) = 1 \implies u = -1 |
\log_{2}\left(6 + 2 z\right) = 1 \implies z = -2 |
f(c) = 4 + 3 c + c^2, \quad g(w) = 4 + w \implies f(g(w)) = 32 + 11 w + w^2 |
\log_{3}\left(5 + z\right) = 3 \implies z = 22 |
\left(c + y\right) \left(-c + y\right) = -c^2 + y^2 |
\log_{3}\left(3 + 3 a\right) = 1 \implies a = 0 |
31 \cdot 38 = 1178 |
\frac{d}{dv}\left(1 + 8 v\right) = 8 |
\frac{d}{db}\left(b\right) = 1 |
f(y) = 4 + 2 y + y^2, \quad g(u) = 3 + 3 u \implies f(g(u)) = 19 + 24 u + 9 u^2 |
29 + 47 = 76 |
4 + b = 0 \implies b = -4 |
\lim_{v \to 4} \left(-5\right) = -5 |
14 + 9 z + z^2 = 0 \implies z \in \{ -7, -2 \} |
\log_{5}\left(1 + 4 t\right) = 2 \implies t = 6 |
\log_{4}\left(7 + 2 z\right) = 3 \implies z = \frac{57}{2} |
f(z) = 4 + z + z^2, \quad g(y) = 3 + 2 y \implies f(g(y)) = 16 + 14 y + 4 y^2 |
-4 + x = 0 \implies x = 4 |
b \left(-2 + v\right) = -2 b + b v |
\log_{4}\left(2 + b\right) = 2 \implies b = 14 |
\frac{d}{dz}\left(\cos{\left(z\right)}\right) = -\sin{\left(z\right)} |
\left(-c + x\right) \left(10 - c\right) = -10 c + 10 x - c x + c^2 |
12 - 23 = -11 |
\log_{4}\left(7 + 3 w\right) = 1 \implies w = -1 |
f(y) = 5 + 3 y + y^2, \quad g(z) = 3 + 3 z \implies f(g(z)) = 23 + 27 z + 9 z^2 |
\int \left(3 v^2\right) dv = v^3 + C |
f(z) = 4 + 5 z + z^2, \quad g(c) = 4 + 3 c \implies f(g(c)) = 40 + 39 c + 9 c^2 |
\frac{-29}{29} = -1 |
f(c) = 3 + c + c^2, \quad g(v) = 2 + 3 v \implies f(g(v)) = 9 + 15 v + 9 v^2 |
34 + 1 = 35 |
\log_{2}\left(3 + 3 c\right) = 2 \implies c = \frac{1}{3} |
-16 - 6 y + y^2 = 0 \implies y \in \{ -2, 8 \} |
\int \left(2 c - 4 c^3\right) dc = c^2 - c^4 + C |
\frac{d}{dv}\left(v\right) = 1 |
c^2 \left(-1 + c\right) = -c^2 + c^3 |
\int \left(4 u^3\right) du = u^4 + C |
47 + 29 = 76 |
7 \cdot 48 = 336 |
\int \left(1\right) dt = t + C |
\frac{d}{dz}\left(-5 z\right) = -5 |
-50 - 48 = -98 |
-33 + 33 = 0 |
\frac{-24}{32} = \frac{-3}{4} |
\left(v + w\right) \left(-v + w\right) = -v^2 + w^2 |
\log_{5}\left(1 + 2 v\right) = 3 \implies v = 62 |
\left(u + x\right) \left(9 - x\right) = 9 u + 9 x - u x - x^2 |
-4 + c = 0 \implies c = 4 |
\log_{3}\left(3 + 2 w\right) = 1 \implies w = 0 |
224 + 116 x + 19 x^2 + x^3 = 0 \implies x \in \{ -8, -7, -4 \} |
28 + 11 b + b^2 = 0 \implies b \in \{ -7, -4 \} |
(2, 3, 1) \times (4, -5, 0) = (5, 4, -22) |
\frac{d}{du}\left(2 u - \left(5 + u\right)\right) = 1 |
23 + 44 = 67 |
\frac{d}{dw}\left(-1 + w^2\right) = 2 w |
\frac{d}{dt}\left(t\right) = 1 |
\frac{-31}{44} = \frac{-31}{44} |
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