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(2, 0, -1) \times (-5, 5, -1) = (5, 7, 10) |
\log_{5}\left(2 + 2 v\right) = 3 \implies v = \frac{123}{2} |
\log_{3}\left(6 + 4 c\right) = 2 \implies c = \frac{3}{4} |
43 \cdot 23 = 989 |
\log_{4}\left(2 + 3 x\right) = 2 \implies x = \frac{14}{3} |
2 + b = 0 \implies b = -2 |
\frac{d}{dc}\left(c^3\right) = 3 c^2 |
f(t) = 1 + 5 t + t^2, \quad g(u) = 2 + 2 u \implies f(g(u)) = 15 + 18 u + 4 u^2 |
(5, 2, 1) \times (5, 3, 1) = (-1, 0, 5) |
-30 - a + a^2 = 0 \implies a \in \{ -5, 6 \} |
\log_{5}\left(7 + 3 b\right) = 3 \implies b = \frac{118}{3} |
\lim_{v \to -4} \left(v^3\right) = -64 |
-144 - 54 y + y^2 + y^3 = 0 \implies y \in \{ -6, -3, 8 \} |
-5 + b = 0 \implies b = 5 |
\frac{7}{25} = \frac{7}{25} |
\log_{3}\left(7 + 3 a\right) = 2 \implies a = \frac{2}{3} |
-6 + a + 4 a^2 + a^3 = 0 \implies a \in \{ -3, -2, 1 \} |
\log_{2}\left(4 + 4 w\right) = 1 \implies w = \frac{-1}{2} |
\log_{4}\left(2 + y\right) = 1 \implies y = 2 |
\int \left(-\sin{\left(c\right)}\right) dc = -1 + \cos{\left(c\right)} + C |
13 \cdot 32 = 416 |
\int \left(1\right) dw = w + C |
\lim_{v \to 0} \left(v\right) = 0 |
\frac{d}{da}\left(0\right) = 0 |
25 \cdot 40 = 1000 |
-20 y - y^2 + y^3 = 0 \implies y \in \{ -4, 0, 5 \} |
f(a) = 1 + 3 a + a^2, \quad g(w) = 4 + 2 w \implies f(g(w)) = 29 + 22 w + 4 w^2 |
(1, -5, -5) \times (-4, -2, -2) = (0, 22, -22) |
\int \left(-\sin{\left(t\right)}\right) dt = -1 + \cos{\left(t\right)} + C |
\frac{d}{dc}\left(2 - c^4\right) = -4 c^3 |
30 - 11 b - 4 b^2 + b^3 = 0 \implies b \in \{ -3, 2, 5 \} |
\log_{3}\left(5 + 4 w\right) = 1 \implies w = \frac{-1}{2} |
\lim_{u \to -3} \left(u\right) = -3 |
24 - 10 a - 3 a^2 + a^3 = 0 \implies a \in \{ -3, 2, 4 \} |
\frac{d}{dc}\left(c^2\right) = 2 c |
\lim_{a \to -5} \left(a^4\right) = 625 |
12 w - 7 w^2 + w^3 = 0 \implies w \in \{ 0, 3, 4 \} |
f(t) = 2 + 4 t + t^2, \quad g(y) = 1 + y \implies f(g(y)) = 7 + 6 y + y^2 |
35 + 23 y - 11 y^2 + y^3 = 0 \implies y \in \{ -1, 5, 7 \} |
-48 - 36 = -84 |
-14 - 5 u + u^2 = 0 \implies u \in \{ -2, 7 \} |
46 - 14 = 32 |
\log_{4}\left(1 + z\right) = 2 \implies z = 15 |
2 a + a^2 = 0 \implies a \in \{ -2, 0 \} |
24 \cdot 24 = 576 |
12 x + 8 x^2 + x^3 = 0 \implies x \in \{ -6, -2, 0 \} |
f(t) = 3 + t + t^2, \quad g(w) = 1 + w \implies f(g(w)) = 5 + 3 w + w^2 |
\log_{2}\left(2 + w\right) = 2 \implies w = 2 |
\lim_{t \to 0} \left(\sin{\left(t\right)}\right) = 0 |
50 - 46 = 4 |
\int \left(2 a\right) da = a^2 + C |
\frac{d}{dw}\left(7\right) = 0 |
8 + 9 w + w^2 = 0 \implies w \in \{ -8, -1 \} |
\left(a + c\right) \cos{\left(a\right)} = a \cos{\left(a\right)} + c \cos{\left(a\right)} |
4 + t = 0 \implies t = -4 |
f(y) = 5 + 2 y + y^2, \quad g(a) = 2 + a \implies f(g(a)) = 13 + 6 a + a^2 |
(0, 3, -3) \times (5, 5, 1) = (18, -15, -15) |
(0, -1, -2) \times (-3, 5, -4) = (14, 6, -3) |
5 + 15 = 20 |
0 \cdot 43 = 0 |
-8 + y = 0 \implies y = 8 |
\lim_{c \to -3} \left(c\right) = -3 |
\frac{d}{dt}\left(1 + 8 t\right) = 8 |
y^2 \left(1 + y\right) = y^2 + y^3 |
\lim_{v \to -1} \left(v^2\right) = 1 |
\int \left(-12\right) da = -12 a + C |
23 + 31 = 54 |
-6 + 41 = 35 |
w^2 \left(w - y\right) = -w^2 y + w^3 |
\frac{-46}{5} = \frac{-46}{5} |
f(t) = 4 + 5 t + t^2, \quad g(z) = 1 + z \implies f(g(z)) = 10 + 7 z + z^2 |
f(u) = 3 + 4 u + u^2, \quad g(y) = 1 + 2 y \implies f(g(y)) = 8 + 12 y + 4 y^2 |
-90 - 33 x + 2 x^2 + x^3 = 0 \implies x \in \{ -5, -3, 6 \} |
f(c) = 2 + 5 c + c^2, \quad g(b) = 1 + 3 b \implies f(g(b)) = 8 + 21 b + 9 b^2 |
(-3, 2, 5) \times (-4, 5, 2) = (-21, -14, -7) |
\log_{3}\left(4 + 4 c\right) = 3 \implies c = \frac{23}{4} |
3 + 4 b + b^2 = 0 \implies b \in \{ -3, -1 \} |
\frac{-12}{7} = \frac{-12}{7} |
-26 + 41 = 15 |
\int \left(-3 a^2 + 4 a^3\right) da = -a^3 + a^4 + C |
\log_{5}\left(6 + 4 c\right) = 3 \implies c = \frac{119}{4} |
\log_{2}\left(4 + a\right) = 2 \implies a = 0 |
-3 + b = 0 \implies b = 3 |
6 + z = 0 \implies z = -6 |
t \left(7 + t\right) = 7 t + t^2 |
-160 - 28 x + 7 x^2 + x^3 = 0 \implies x \in \{ -8, -4, 5 \} |
\log_{2}\left(6 + 4 y\right) = 2 \implies y = \frac{-1}{2} |
5 + u = 0 \implies u = -5 |
4 + w = 0 \implies w = -4 |
\log_{4}\left(1 + y\right) = 1 \implies y = 3 |
-2 + b = 0 \implies b = 2 |
18 + 11 = 29 |
w \left(4 + w\right) = 4 w + w^2 |
f(u) = 5 + u + u^2, \quad g(w) = 2 + w \implies f(g(w)) = 11 + 5 w + w^2 |
f(x) = 3 + 3 x + x^2, \quad g(y) = 4 + 3 y \implies f(g(y)) = 31 + 33 y + 9 y^2 |
-175 - 25 b + 7 b^2 + b^3 = 0 \implies b \in \{ -7, -5, 5 \} |
-45 \cdot 28 = -1260 |
\log_{2}\left(5 + u\right) = 3 \implies u = 3 |
41 + 12 = 53 |
44 \cdot 22 = 968 |
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