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41 + 30 = 71 |
-3 - 2 t + t^2 = 0 \implies t \in \{ -1, 3 \} |
\frac{23}{48} = \frac{23}{48} |
-21 + 4 b + b^2 = 0 \implies b \in \{ -7, 3 \} |
\frac{d}{dy}\left(9 + y^4\right) = 4 y^3 |
3 - 22 = -19 |
\int \left(-2 z \sin{\left(z\right)} + 2 \cos{\left(z\right)}\right) dz = 2 z \cos{\left(z\right)} + C |
f(t) = 4 + 5 t + t^2, \quad g(a) = 1 + 2 a \implies f(g(a)) = 10 + 14 a + 4 a^2 |
6 + 7 w + w^2 = 0 \implies w \in \{ -6, -1 \} |
41 + 21 = 62 |
24 - 14 z - z^2 + z^3 = 0 \implies z \in \{ -4, 2, 3 \} |
\lim_{x \to -5} \left(-60\right) = -60 |
\lim_{u \to 3} \left(2 u\right) = 6 |
4 + a = 0 \implies a = -4 |
\frac{17}{42} = \frac{17}{42} |
\lim_{t \to 2} \left(t\right) = 2 |
6 a \left(3 + y\right) = 18 a + 6 a y |
\frac{34}{6} = \frac{17}{3} |
f(w) = 3 + 3 w + w^2, \quad g(v) = 2 + 2 v \implies f(g(v)) = 13 + 14 v + 4 v^2 |
-2 + b = 0 \implies b = 2 |
f(u) = 1 + 5 u + u^2, \quad g(a) = 4 + a \implies f(g(a)) = 37 + 13 a + a^2 |
-12 + 14 = 2 |
-7 + t = 0 \implies t = 7 |
f(x) = 1 + 3 x + x^2, \quad g(z) = 2 + 3 z \implies f(g(z)) = 11 + 21 z + 9 z^2 |
\left(t + w\right) \cos{\left(w\right)} = t \cos{\left(w\right)} + w \cos{\left(w\right)} |
-48 \cdot 21 = -1008 |
f(v) = 4 + 3 v + v^2, \quad g(c) = 3 + c \implies f(g(c)) = 22 + 9 c + c^2 |
\lim_{x \to 5} \left(\cos{\left(x\right)}\right) = \cos{\left(5\right)} |
\log_{2}\left(6 + v\right) = 2 \implies v = -2 |
\cos{\left(v\right)} \left(9 + v\right) = v \cos{\left(v\right)} + 9 \cos{\left(v\right)} |
\lim_{a \to 0} \left(-27\right) = -27 |
12 \cdot 24 = 288 |
(-2, 1, 1) \times (1, -2, -5) = (-3, -9, 3) |
\frac{d}{dv}\left(\cos{\left(v\right)}\right) = -\sin{\left(v\right)} |
-8 + u = 0 \implies u = 8 |
\log_{5}\left(2 + b\right) = 2 \implies b = 23 |
f(t) = 2 + 5 t + t^2, \quad g(a) = 3 + a \implies f(g(a)) = 26 + 11 a + a^2 |
-4 + t = 0 \implies t = 4 |
\lim_{v \to -5} \left(v^4\right) = 625 |
f(w) = 2 + 2 w + w^2, \quad g(u) = 2 + 2 u \implies f(g(u)) = 10 + 12 u + 4 u^2 |
3 + w = 0 \implies w = -3 |
-8 \cdot 19 = -152 |
\frac{d}{du}\left(u\right) = 1 |
2 z \left(-3 - w\right) = -6 z - 2 w z |
35 - 12 b + b^2 = 0 \implies b \in \{ 5, 7 \} |
\frac{-38}{2} = -19 |
(-5, 5, -5) \times (0, 4, -5) = (-5, -25, -20) |
\log_{2}\left(8 + v\right) = 1 \implies v = -6 |
28 - 11 w + w^2 = 0 \implies w \in \{ 4, 7 \} |
6 - 15 = -9 |
2 x \left(2 + w\right) = 4 x + 2 w x |
-7 + a = 0 \implies a = 7 |
3 + 4 a + a^2 = 0 \implies a \in \{ -3, -1 \} |
(5, 3, 5) \times (1, 4, 4) = (-8, -15, 17) |
10 - 7 t + t^2 = 0 \implies t \in \{ 2, 5 \} |
f(b) = 2 + 3 b + b^2, \quad g(v) = 4 + v \implies f(g(v)) = 30 + 11 v + v^2 |
\log_{4}\left(1 + 4 a\right) = 3 \implies a = \frac{63}{4} |
(-3, -3, 1) \times (-2, 3, 1) = (-6, 1, -15) |
\log_{3}\left(2 + 4 a\right) = 3 \implies a = \frac{25}{4} |
\lim_{t \to -5} \left(0\right) = 0 |
\log_{3}\left(3 + 2 t\right) = 1 \implies t = 0 |
f(b) = 4 + 2 b + b^2, \quad g(u) = 2 + 2 u \implies f(g(u)) = 12 + 12 u + 4 u^2 |
\log_{5}\left(6 + a\right) = 1 \implies a = -1 |
\int \left(-1\right) dy = -y + C |
-4 + 3 y + y^2 = 0 \implies y \in \{ -4, 1 \} |
28 - 11 a + a^2 = 0 \implies a \in \{ 4, 7 \} |
30 - 11 v - 4 v^2 + v^3 = 0 \implies v \in \{ -3, 2, 5 \} |
\int \left(5 \sin{\left(c\right)}\right) dc = 5 - 5 \cos{\left(c\right)} + C |
120 - 34 b - 3 b^2 + b^3 = 0 \implies b \in \{ -6, 4, 5 \} |
47 \cdot 37 = 1739 |
f(c) = 3 + 3 c + c^2, \quad g(v) = 2 + 2 v \implies f(g(v)) = 13 + 14 v + 4 v^2 |
f(y) = 1 + y + y^2, \quad g(c) = 4 + c \implies f(g(c)) = 21 + 9 c + c^2 |
\log_{3}\left(3 + 4 c\right) = 3 \implies c = 6 |
f(t) = 1 + 2 t + t^2, \quad g(a) = 1 + 2 a \implies f(g(a)) = 4 + 8 a + 4 a^2 |
\frac{d}{dz}\left(z\right) = 1 |
z^3 \left(-7 - y\right) = -y z^3 - 7 z^3 |
31 - 19 = 12 |
f(c) = 2 + 4 c + c^2, \quad g(u) = 2 + u \implies f(g(u)) = 14 + 8 u + u^2 |
8 + 6 b + b^2 = 0 \implies b \in \{ -4, -2 \} |
-7 + t = 0 \implies t = 7 |
\log_{5}\left(7 + 3 z\right) = 3 \implies z = \frac{118}{3} |
18 \cdot 43 = 774 |
\log_{4}\left(5 + y\right) = 1 \implies y = -1 |
-24 - 43 = -67 |
-12 - x + x^2 = 0 \implies x \in \{ -3, 4 \} |
\frac{d}{dc}\left(c\right) = 1 |
8 + 45 = 53 |
33 \cdot 31 = 1023 |
f(v) = 1 + 3 v + v^2, \quad g(c) = 4 + 3 c \implies f(g(c)) = 29 + 33 c + 9 c^2 |
(4, 4, 1) \times (3, -5, -4) = (-11, 19, -32) |
\frac{d}{du}\left(u^4\right) = 4 u^3 |
-47 - 12 = -59 |
\lim_{t \to 0} \left(7 t\right) = 0 |
-49 - 20 = -69 |
56 - 34 v + v^2 + v^3 = 0 \implies v \in \{ -7, 2, 4 \} |
\left(c + t\right) c t = c t^2 + c^2 t |
f(t) = 2 + t + t^2, \quad g(c) = 4 + c \implies f(g(c)) = 22 + 9 c + c^2 |
\lim_{x \to 2} \left(0\right) = 0 |
x^4 \left(w + x\right) = w x^4 + x^5 |
6 + w = 0 \implies w = -6 |
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