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-18 + 40 = 22 |
\log_{3}\left(7 + 2 y\right) = 1 \implies y = -2 |
f(c) = 5 + 4 c + c^2, \quad g(z) = 1 + 3 z \implies f(g(z)) = 10 + 18 z + 9 z^2 |
(-5, -1, -1) \times (1, 3, -1) = (4, -6, -14) |
\frac{-23}{23} = -1 |
f(x) = 3 + 3 x + x^2, \quad g(t) = 3 + 3 t \implies f(g(t)) = 21 + 27 t + 9 t^2 |
-3 + u = 0 \implies u = 3 |
(-1, -2, 2) \times (1, -2, -1) = (6, 1, 4) |
6 - 5 z + z^2 = 0 \implies z \in \{ 2, 3 \} |
18 - 9 x - 2 x^2 + x^3 = 0 \implies x \in \{ -3, 2, 3 \} |
-3 + 26 = 23 |
\lim_{u \to 1} \left(2 u\right) = 2 |
49 \cdot 25 = 1225 |
(-1, -1, 0) \times (3, 3, -4) = (4, -4, 0) |
\log_{4}\left(8 + 2 y\right) = 3 \implies y = 28 |
f(x) = 3 + 5 x + x^2, \quad g(v) = 2 + 2 v \implies f(g(v)) = 17 + 18 v + 4 v^2 |
(-3, 4, -3) \times (-5, -1, -2) = (-11, 9, 23) |
\lim_{c \to 4} \left(c\right) = 4 |
21 + 42 = 63 |
35 + 41 = 76 |
7 + y = 0 \implies y = -7 |
\frac{37}{47} = \frac{37}{47} |
-48 + 2 x + x^2 = 0 \implies x \in \{ -8, 6 \} |
-6 + 11 = 5 |
\log_{4}\left(5 + u\right) = 1 \implies u = -1 |
-46 \cdot 32 = -1472 |
6 + 7 w + w^2 = 0 \implies w \in \{ -6, -1 \} |
-40 - 37 z + 4 z^2 + z^3 = 0 \implies z \in \{ -8, -1, 5 \} |
\lim_{z \to -1} \left(2 z\right) = -2 |
18 + 9 b + b^2 = 0 \implies b \in \{ -6, -3 \} |
f(c) = 4 + 2 c + c^2, \quad g(x) = 4 + 2 x \implies f(g(x)) = 28 + 20 x + 4 x^2 |
f(t) = 3 + t + t^2, \quad g(x) = 3 + 2 x \implies f(g(x)) = 15 + 14 x + 4 x^2 |
16 + 6 v - 9 v^2 + v^3 = 0 \implies v \in \{ -1, 2, 8 \} |
8 + 9 c + c^2 = 0 \implies c \in \{ -8, -1 \} |
f(x) = 2 + 3 x + x^2, \quad g(c) = 3 + c \implies f(g(c)) = 20 + 9 c + c^2 |
-28 - 3 t + t^2 = 0 \implies t \in \{ -4, 7 \} |
-5 + 36 = 31 |
\log_{2}\left(4 + 3 t\right) = 1 \implies t = \frac{-2}{3} |
f(y) = 1 + 3 y + y^2, \quad g(v) = 2 + v \implies f(g(v)) = 11 + 7 v + v^2 |
-18 - 3 a + a^2 = 0 \implies a \in \{ -3, 6 \} |
5 + u = 0 \implies u = -5 |
6 - 19 = -13 |
\log_{5}\left(5 + x\right) = 2 \implies x = 20 |
\log_{4}\left(2 + 2 c\right) = 2 \implies c = 7 |
\int \left(2\right) dz = 2 z + C |
f(v) = 3 + v + v^2, \quad g(u) = 1 + 2 u \implies f(g(u)) = 5 + 6 u + 4 u^2 |
f(x) = 4 + x + x^2, \quad g(t) = 1 + t \implies f(g(t)) = 6 + 3 t + t^2 |
(-1, 1, -4) \times (-3, 0, 1) = (1, 13, 3) |
-41 \cdot 29 = -1189 |
40 + 13 x + x^2 = 0 \implies x \in \{ -8, -5 \} |
12 + 5 a - 6 a^2 + a^3 = 0 \implies a \in \{ -1, 3, 4 \} |
\lim_{x \to 4} \left(x^3\right) = 64 |
\frac{-20}{12} = \frac{-5}{3} |
4 + 5 a + a^2 = 0 \implies a \in \{ -4, -1 \} |
\frac{d}{da}\left(a^4\right) = 4 a^3 |
-4 v + v^2 = 0 \implies v \in \{ 0, 4 \} |
-30 - y + y^2 = 0 \implies y \in \{ -5, 6 \} |
7 + v = 0 \implies v = -7 |
-13 - 28 = -41 |
-32 + 4 u + u^2 = 0 \implies u \in \{ -8, 4 \} |
\lim_{x \to -5} \left(x^2\right) = 25 |
12 - 8 t + t^2 = 0 \implies t \in \{ 2, 6 \} |
\frac{d}{db}\left(-8 + b^2\right) = 2 b |
f(c) = 4 + 3 c + c^2, \quad g(y) = 4 + y \implies f(g(y)) = 32 + 11 y + y^2 |
2 \left(-a + y\right) a = 2 a y - 2 a^2 |
-16 - 22 v - 5 v^2 + v^3 = 0 \implies v \in \{ -2, -1, 8 \} |
6 + c = 0 \implies c = -6 |
\lim_{u \to -5} \left(2 u\right) = -10 |
\int \left(\cos{\left(u\right)}\right) du = \sin{\left(u\right)} + C |
f(y) = 2 + 4 y + y^2, \quad g(b) = 4 + b \implies f(g(b)) = 34 + 12 b + b^2 |
\frac{d}{da}\left(a^3\right) = 3 a^2 |
f(a) = 2 + 5 a + a^2, \quad g(c) = 1 + c \implies f(g(c)) = 8 + 7 c + c^2 |
\frac{d}{dt}\left(-28 + t\right) = 1 |
\log_{5}\left(3 + b\right) = 2 \implies b = 22 |
\frac{16}{6} = \frac{8}{3} |
\log_{4}\left(6 + 3 w\right) = 3 \implies w = \frac{58}{3} |
\frac{-33}{40} = \frac{-33}{40} |
-21 t + 4 t^2 + t^3 = 0 \implies t \in \{ -7, 0, 3 \} |
\lim_{a \to 3} \left(a\right) = 3 |
f(a) = 1 + 5 a + a^2, \quad g(v) = 4 + 3 v \implies f(g(v)) = 37 + 39 v + 9 v^2 |
(5, 0, 2) \times (-5, 1, 1) = (-2, -15, 5) |
-27 \cdot 13 = -351 |
\lim_{a \to -4} \left(0\right) = 0 |
-50 - 25 w + 2 w^2 + w^3 = 0 \implies w \in \{ -5, -2, 5 \} |
(3, -4, 5) \times (0, 2, 0) = (-10, 0, 6) |
(2, 3, 3) \times (-3, -2, -2) = (0, -5, 5) |
-6 t + t^2 = 0 \implies t \in \{ 0, 6 \} |
-19 - 23 = -42 |
\lim_{w \to 5} \left(w^4\right) = 625 |
(4, 1, 2) \times (2, -5, 0) = (10, 4, -22) |
\left(u + v\right) \left(9 + u\right) = 9 u + 9 v + u v + u^2 |
-56 a - a^2 + a^3 = 0 \implies a \in \{ -7, 0, 8 \} |
\log_{3}\left(8 + c\right) = 1 \implies c = -5 |
\log_{2}\left(6 + 2 v\right) = 1 \implies v = -2 |
\int \left(4 v^3\right) dv = v^4 + C |
\frac{d}{dz}\left(2 z - \left(1 + z\right)\right) = 1 |
f(a) = 2 + a + a^2, \quad g(b) = 1 + b \implies f(g(b)) = 4 + 3 b + b^2 |
(2, -5, 3) \times (-4, -1, -5) = (28, -2, -22) |
-5 z \left(-5 + z\right) = 25 z - 5 z^2 |
\int \left(4 x^3\right) dx = x^4 + C |
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