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-13 \cdot 38 = -494 |
(5, -5, -5) \times (-4, 5, 3) = (10, 5, 5) |
\log_{2}\left(2 + x\right) = 1 \implies x = 0 |
\lim_{c \to 0} \left(-3\right) = -3 |
\int \left(1 + \cos{\left(v\right)}\right) dv = v + \sin{\left(v\right)} + C |
\lim_{z \to -3} \left(7\right) = 7 |
40 - 22 z - z^2 + z^3 = 0 \implies z \in \{ -5, 2, 4 \} |
f(w) = 2 + 2 w + w^2, \quad g(a) = 1 + a \implies f(g(a)) = 5 + 4 a + a^2 |
\int \left(w \cos{\left(w\right)} + \sin{\left(w\right)}\right) dw = w \sin{\left(w\right)} + C |
-46 \cdot 46 = -2116 |
\left(-1 + t\right) \left(9 + t\right) = -9 + 8 t + t^2 |
\frac{d}{dw}\left(7 + 3 w\right) = 3 |
\frac{d}{dw}\left(11 - 2 w\right) = -2 |
30 + 11 c + c^2 = 0 \implies c \in \{ -6, -5 \} |
-28 + 3 t + t^2 = 0 \implies t \in \{ -7, 4 \} |
f(a) = 5 + 5 a + a^2, \quad g(t) = 4 + t \implies f(g(t)) = 41 + 13 t + t^2 |
\int \left(2 t\right) dt = t^2 + C |
(-1, -2, 0) \times (-2, 0, -1) = (2, -1, -4) |
\log_{4}\left(8 + y\right) = 3 \implies y = 56 |
\log_{2}\left(4 + 2 c\right) = 1 \implies c = -1 |
\frac{d}{du}\left(u\right) = 1 |
8 v \left(8 - a\right) = 64 v - 8 a v |
6 + 28 = 34 |
\frac{d}{db}\left(0\right) = 0 |
29 + 19 = 48 |
-54 - 9 v + 6 v^2 + v^3 = 0 \implies v \in \{ -6, -3, 3 \} |
w \left(3 + w\right) = 3 w + w^2 |
\int \left(-\sin{\left(w\right)}\right) dw = -1 + \cos{\left(w\right)} + C |
-26 - 8 = -34 |
-5 + 4 y + y^2 = 0 \implies y \in \{ -5, 1 \} |
f(t) = 5 + 2 t + t^2, \quad g(x) = 3 + 3 x \implies f(g(x)) = 20 + 24 x + 9 x^2 |
4 + y = 0 \implies y = -4 |
\frac{37}{26} = \frac{37}{26} |
(4, 5, -4) \times (5, -4, 5) = (9, -40, -41) |
-36 + 36 b - 11 b^2 + b^3 = 0 \implies b \in \{ 2, 3, 6 \} |
30 + 11 y + y^2 = 0 \implies y \in \{ -6, -5 \} |
f(x) = 2 + 5 x + x^2, \quad g(v) = 3 + 3 v \implies f(g(v)) = 26 + 33 v + 9 v^2 |
-48 - 2 a + a^2 = 0 \implies a \in \{ -6, 8 \} |
54 - 9 a - 6 a^2 + a^3 = 0 \implies a \in \{ -3, 3, 6 \} |
-8 - 7 a + a^2 = 0 \implies a \in \{ -1, 8 \} |
f(v) = 5 + v + v^2, \quad g(a) = 3 + a \implies f(g(a)) = 17 + 7 a + a^2 |
-224 - 60 a + 3 a^2 + a^3 = 0 \implies a \in \{ -7, -4, 8 \} |
\lim_{u \to -4} \left(-8\right) = -8 |
-15 + 2 t + t^2 = 0 \implies t \in \{ -5, 3 \} |
2 + c = 0 \implies c = -2 |
\log_{5}\left(2 + 4 a\right) = 3 \implies a = \frac{123}{4} |
\frac{9}{10} = \frac{9}{10} |
b y \left(10 + y\right) = 10 b y + b y^2 |
\log_{3}\left(4 + 4 z\right) = 1 \implies z = \frac{-1}{4} |
\frac{d}{du}\left(\sin{\left(u\right)}\right) = \cos{\left(u\right)} |
\frac{d}{dw}\left(w^3\right) = 3 w^2 |
\log_{3}\left(7 + 4 u\right) = 3 \implies u = 5 |
\int \left(-\sin{\left(u\right)}\right) du = -1 + \cos{\left(u\right)} + C |
\log_{3}\left(5 + y\right) = 1 \implies y = -2 |
24 + 8 = 32 |
(5, 1, -5) \times (-3, -4, 2) = (-18, 5, -17) |
45 \cdot 32 = 1440 |
\lim_{v \to -1} \left(v\right) = -1 |
40 - 18 = 22 |
-32 - 32 = -64 |
\log_{3}\left(7 + 3 b\right) = 1 \implies b = \frac{-4}{3} |
\log_{2}\left(2 + 2 w\right) = 1 \implies w = 0 |
\log_{4}\left(4 + 2 y\right) = 1 \implies y = 0 |
f(u) = 2 + u + u^2, \quad g(a) = 4 + 2 a \implies f(g(a)) = 22 + 18 a + 4 a^2 |
\int \left(1 - \sin{\left(a\right)}\right) da = -1 + a + \cos{\left(a\right)} + C |
f(b) = 2 + 5 b + b^2, \quad g(w) = 2 + 2 w \implies f(g(w)) = 16 + 18 w + 4 w^2 |
\lim_{c \to 0} \left(6 + c\right) = 6 |
48 - 14 v + v^2 = 0 \implies v \in \{ 6, 8 \} |
f(u) = 1 + 2 u + u^2, \quad g(v) = 1 + 3 v \implies f(g(v)) = 4 + 12 v + 9 v^2 |
\log_{5}\left(7 + 2 v\right) = 3 \implies v = 59 |
\log_{3}\left(5 + 2 a\right) = 2 \implies a = 2 |
-8 + a = 0 \implies a = 8 |
-21 c + 4 c^2 + c^3 = 0 \implies c \in \{ -7, 0, 3 \} |
-1 + b = 0 \implies b = 1 |
\frac{d}{du}\left(u\right) = 1 |
-72 - 36 u + 2 u^2 + u^3 = 0 \implies u \in \{ -6, -2, 6 \} |
\frac{5}{6} = \frac{5}{6} |
\int \left(1\right) dv = v + C |
\log_{2}\left(8 + 4 b\right) = 1 \implies b = \frac{-3}{2} |
\lim_{a \to 1} \left(a\right) = 1 |
-3 a + a^2 = 0 \implies a \in \{ 0, 3 \} |
6 + y = 0 \implies y = -6 |
\lim_{u \to 4} \left(u^3\right) = 64 |
\frac{d}{dw}\left(-2 \left(-5 - w\right)\right) = 2 |
24 - 11 x + x^2 = 0 \implies x \in \{ 3, 8 \} |
-3 x + x^2 = 0 \implies x \in \{ 0, 3 \} |
-50 - 25 = -75 |
\log_{4}\left(5 + v\right) = 2 \implies v = 11 |
\int \left(-1 + 4 w^3\right) dw = -w + w^4 + C |
f(a) = 3 + 5 a + a^2, \quad g(x) = 2 + 3 x \implies f(g(x)) = 17 + 27 x + 9 x^2 |
4 + x = 0 \implies x = -4 |
1 + w = 0 \implies w = -1 |
\frac{d}{dv}\left(\cos{\left(v\right)}\right) = -\sin{\left(v\right)} |
-64 - 24 z + 6 z^2 + z^3 = 0 \implies z \in \{ -8, -2, 4 \} |
-96 - 16 a + 6 a^2 + a^3 = 0 \implies a \in \{ -6, -4, 4 \} |
-3 + 48 = 45 |
-60 + 47 b - 12 b^2 + b^3 = 0 \implies b \in \{ 3, 4, 5 \} |
\frac{d}{dw}\left(w\right) = 1 |
\frac{d}{dw}\left(w^3\right) = 3 w^2 |
-45 \cdot 23 = -1035 |
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