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Rang	Thema	Aufgabe	Formatierte Aufgabe
174501	Ermittele die konjugiert komplexe Zahl	Quadratwurzel von -9	$\sqrt{- 9}$
174502	Vereinfache	(3-i)/(3+i)	$\frac{3 - i}{3 + i}$
174503	Stelle graphisch dar	f(x)=(x+3)(x-k)	$f (x) = (x + 3) (x - k)$
174504	Solve the System of Inequalities	34<-3x+10 or 22<=-3x+10	$34 < - 3 x + 10$ or $22 \leq - 3 x + 10$
174505	x 구하기	3(3x-2)=(x+4)(4-x)	$3 (3 x - 2) = (x + 4) (4 - x)$
174506	Stelle graphisch dar	y=-1/2x-2 y=-3/2x+2	$y = - \frac{1}{2} x - 2$ $y = - \frac{3}{2} x + 2$
174507	Berechne	2*(-2^2)	$2 \cdot (- 2^{2})$
174508	Solve the Absolute Value Inequality for v	2/3\|4v+6\|-2<=10	$\frac{2}{3} \| 4 v + 6 \| - 2 \leq 10$
174509	x 구하기	3x+2x+6=-15	$3 x + 2 x + 6 = - 15$
174510	x 구하기	2^(x^2+2x)=1/2	$2^{x^{2} + 2 x} = \frac{1}{2}$
174511	Vereinfache	x^(-2/3)*x^(6/7)	$x^{- \frac{2}{3}} \cdot x^{\frac{6}{7}}$
174512	Vereinfache	(4f^9h^3)(-5f^6)(-3h^2)	$(4 f^{9} h^{3}) (- 5 f^{6}) (- 3 h^{2})$
174513	Finde alle komplexen Lösungen	2sin(theta)^2+ Quadratwurzel von 3sin(theta)=0	$2 \sin^{2} (θ) + \sqrt{3} \sin (θ) = 0$
174514	w 구하기	4/3\|3w-6\|=16	$\frac{4}{3} \| 3 w - 6 \| = 16$
174515	Solve the System of Inequalities	-1<=(4-a)/3<=5	$- 1 \leq \frac{4 - a}{3} \leq 5$
174516	x 구하기	7x+30=x+6(x+5)	$7 x + 30 = x + 6 (x + 5)$
174517	t 구하기	Q=R+rst for t	$Q = R + r s t$ for $t$
174518	Vereinfache	(9-12x+4x^2)/(27-8x^3)	$\frac{9 - 12 x + 4 x^{2}}{27 - 8 x^{3}}$
174519	Vereinfache	(128x^3z^3)/(46xy^2z)	$\frac{128 x^{3} z^{3}}{46 x y^{2} z}$
174520	k 구하기	-4/3(9-2k)=1/2(1/3k+1)	$- \frac{4}{3} (9 - 2 k) = \frac{1}{2} (\frac{1}{3} k + 1)$
174521	k 구하기	\|-6k\|=30	$\| - 6 k \| = 30$
174522	Solve the Inequality for y	12>=15-6y	$12 \geq 15 - 6 y$
174523	Solve the Absolute Value Inequality for a	\|6a-5\|=4a	$\| 6 a - 5 \| = 4 a$
174524	Dividiere unter Anwendung der synthetischen Division	(4x^4+x^2)/(x-2)	$\frac{4 x^{4} + x^{2}}{x - 2}$
174525	Vereinfache	(3x^3+4x^2)+(3x^3-4x^2-9x)	$(3 x^{3} + 4 x^{2}) + (3 x^{3} - 4 x^{2} - 9 x)$
174526	x 구하기	5(x-5)-4=-1+(x+4)	$5 (x - 5) - 4 = - 1 + (x + 4)$
174527	Faktor	(x-3y)^2-y^2	${(x - 3 y)}^{2} - y^{2}$
174528	Solve the System of Inequalities	37<3x+7 and 43>=3x+7	$37 < 3 x + 7$ and $43 \geq 3 x + 7$
174529	x 구하기	27^x-9^(x+0.5)-3^x+3=0	$27^{x} - 9^{x + 0.5} - 3^{x} + 3 = 0$
174530	h 구하기	S=pir^2+2pirh	$S = π r^{2} + 2 π r h$
174531	C 구하기	2/3(B-C)=A	$\frac{2}{3} (B - C) = A$
174532	p 구하기	2(3-p)-17=41	$2 (3 - p) - 17 = 41$
174533	w 구하기	w*0.5w+9z=2z+3w	$w \cdot 0.5 w + 9 z = 2 z + 3 w$
174534	Faktor	x^2=2x+35	$x^{2} = 2 x + 35$
174535	Vereinfache	(6c^7u^-8)/((-3u^-2)^2)	$\frac{6 c^{7} u^{- 8}}{{(- 3 u^{- 2})}^{2}}$
174536	Solve the System of Inequalities	5x-5<5 and 5x-5<=20	$5 x - 5 < 5$ and $5 x - 5 \leq 20$
174537	Solve the Inequality for x	x^2<x	$x^{2} < x$
174538	c 구하기	4-1/2c=1/4(3-c)+1/8c	$4 - \frac{1}{2} c = \frac{1}{4} (3 - c) + \frac{1}{8} c$
174539	Stelle graphisch dar	y<=x^2+2	$y \leq x^{2} + 2$
174540	a 구하기	7a+5(a+3)=8a+4(a+2)	$7 a + 5 (a + 3) = 8 a + 4 (a + 2)$
174541	Berechne	2/(2^2+1)	$\frac{2}{2^{2} + 1}$
174542	r 구하기	A=4r^2	$A = 4 r^{2}$
174543	Wandle in Intervallschreibweise um	3/4q-2/3q<5/12q-1/12	$\frac{3}{4} q - \frac{2}{3} q < \frac{5}{12} q - \frac{1}{12}$
174544	Solve the Inequality for n	809>-11+5/8n	$809 > - 11 + \frac{5}{8} n$
174545	Faktor	ab-b^2	$a b - b^{2}$
174546	Vereinfache	(5/(x-3)-1/(x+3))/(3/(x^2-9))	$\frac{\frac{5}{x - 3} - \frac{1}{x + 3}}{\frac{3}{x^{2} - 9}}$
174547	x 구하기	x/(x-1)-1/(x-2)=(2x-5)/(x^2-3x+2)	$\frac{x}{x - 1} - \frac{1}{x - 2} = \frac{2 x - 5}{x^{2} - 3 x + 2}$
174548	Vereinfache	4+36÷((10-8)^2)*3+7	$4 + 36 \div {(10 - 8)}^{2} \cdot 3 + 7$
174549	Mache den Nenner rational	4/(3- Quadratwurzel von 7)	$\frac{4}{3 - \sqrt{7}}$
174550	Ermittle den exakten Wert	cos(135 Grad )^2-sin(135 Grad )^2	$\cos^{2} (135 °) - \sin^{2} (135 °)$
174551	Wandle in Wurzelform um	((2xy)^(4/3))/((9x)^(4/3))	$\frac{{(2 x y)}^{\frac{4}{3}}}{{(9 x)}^{\frac{4}{3}}}$
174552	Mache den Nenner rational	2/( Kubikwurzel von 2)	$\frac{2}{\sqrt[3]{2}}$
174553	Berechne	(1/81)^(1/2)*(1/81)^(-3/4)	${(\frac{1}{81})}^{\frac{1}{2}} \cdot {(\frac{1}{81})}^{- \frac{3}{4}}$
174554	x 구하기	-(4+x)=3x	$- (4 + x) = 3 x$
174555	Vereinfache	((x^2y^2)/(y^2))^3	${(\frac{x^{2} y^{2}}{y^{2}})}^{3}$
174556	Vereinfache	(3q^2)/(-2(p^3q^-5)^-1)	$\frac{3 q^{2}}{- 2 {(p^{3} q^{- 5})}^{- 1}}$
174557	Vereinfache	((5s^3n^2)^-1)/(4s^3)	$\frac{{(5 s^{3} n^{2})}^{- 1}}{4 s^{3}}$
174558	Berechne	f(x)=2^-4	$f (x) = 2^{- 4}$
174559	x 구하기	4(2.5)^(2x)=4	$4 {(2.5)}^{2 x} = 4$
174560	x 구하기	(1/3)^(x+2)=3^(x-1)	${(\frac{1}{3})}^{x + 2} = 3^{x - 1}$
174561	Stelle graphisch dar	f(x)=x/2+1	$f (x) = \frac{x}{2} + 1$
174562	x 구하기	2x+2-3x+5=3+2	$2 x + 2 - 3 x + 5 = 3 + 2$
174563	Stelle graphisch dar	[1,infinity)	$[1, \infty)$
174564	Vereinfache	(-3(w^4)^-1)/(5j^-6)	$\frac{- 3 {(w^{4})}^{- 1}}{5 j^{- 6}}$
174565	x 구하기	Quadratwurzel von x=2-x	$\sqrt{x} = 2 - x$
174566	Vereinfache den Wurzelausdruck	1/3 Kubikwurzel von 81	$\frac{1}{3} \sqrt[3]{81}$
174567	Bestimme den Abstand zwischen zwei Punkten	(0,-3) and (4,1)	$(0, - 3)$ and $(4, 1)$
174568	Stelle graphisch dar	y=-1/2(x+2)^2+4	$y = - \frac{1}{2} {(x + 2)}^{2} + 4$
174569	Wandle in eine Dezimalzahl um	70deg	$70$ degrees
174570	Faktor	49x^2y^2-9x^2	$49 x^{2} y^{2} - 9 x^{2}$
174571	x 구하기	Kubikwurzel aus 1-x=-1	$\sqrt[3]{1 - x} = - 1$
174572	x 구하기	x-(3x+7)/(x+4)=5/(x+4)	$x - \frac{3 x + 7}{x + 4} = \frac{5}{x + 4}$
174573	x 구하기	x-(2x+5)/(x-9)=7/(x-9)	$x - \frac{2 x + 5}{x - 9} = \frac{7}{x - 9}$
174574	Solve the Inequality for x	x^3>=3x^2	$x^{3} \geq 3 x^{2}$
174575	Bestimme den Definitions- und Wertebereich	F(x)=(2x^2+7x+3)/(x+3)	$F (x) = \frac{2 x^{2} + 7 x + 3}{x + 3}$
174576	Ermittle den exakten Wert	1-1/4	$1 - \frac{1}{4}$
174577	Solve the System of Inequalities	7<=-x-1 or -x-1<=-12	$7 \leq - x - 1$ or $- x - 1 \leq - 12$
174578	x 구하기	x^2=2x-5	$x^{2} = 2 x - 5$
174579	Faktor	(x+1)^(1/2)-1/3(x+1)^(3/2)	${(x + 1)}^{\frac{1}{2}} - \frac{1}{3} {(x + 1)}^{\frac{3}{2}}$
174580	y 구하기	2/5x+y=3	$\frac{2}{5} x + y = 3$
174581	Vereinfache	(3x-1)/(x+2)-(x-2)/(x-1)	$\frac{3 x - 1}{x + 2} - \frac{x - 2}{x - 1}$
174582	x 구하기	6-6x^2-3x=0	$6 - 6 x^{2} - 3 x = 0$
174583	Löse durch Anwendung der Quadratformel	f(x)=x^2+2x+1	$f (x) = x^{2} + 2 x + 1$
174584	x 구하기	Quadratwurzel von 3x+15 = Quadratwurzel von x+9	$\sqrt{3 x + 15} = \sqrt{x + 9}$
174585	x 구하기	Quadratwurzel von 1-8x=5+ Quadratwurzel von 3x+9	$\sqrt{1 - 8 x} = 5 + \sqrt{3 x + 9}$
174586	Vereinfache	(4- Quadratwurzel von 3)/( Quadratwurzel von 5)	$\frac{4 - \sqrt{3}}{\sqrt{5}}$
174587	Vereinfache	(4x^2)/(2x-1)-1/(2x-1)	$\frac{4 x^{2}}{2 x - 1} - \frac{1}{2 x - 1}$
174588	r 구하기	rt=w	$r t = w$
174589	Vereinfache	1/4(c^3+d^2)	$\frac{1}{4} (c^{3} + d^{2})$
174590	Vereinfache	(x+2)-(x-2)-12x	$(x + 2) - (x - 2) - 12 x$
174591	Vereinfache	8y^2 Quadratwurzel von 12x^7y^5	$8 y^{2} \sqrt{12 x^{7} y^{5}}$
174592	y 구하기	12-8+y-3=21+4	$12 - 8 + y - 3 = 21 + 4$
174593	Solve the System of Inequalities	1/3<=(x+1)/4<4/5	$\frac{1}{3} \leq \frac{x + 1}{4} < \frac{4}{5}$
174594	Stelle graphisch dar	(x-1)/(1-x)<0	$\frac{x - 1}{1 - x} < 0$
174595	Berechne	-5/3-((((1/2)^3)÷(6/7))÷(3/4))÷((-1)^3)	$- \frac{5}{3} - {(\frac{1}{2})}^{3} \div \frac{6}{7} \div \frac{3}{4} \div {(- 1)}^{3}$
174596	Vereinfache	1/8(16m-8)-17	$\frac{1}{8} (16 m - 8) - 17$
174597	Berechne	Quadratwurzel von (1+(-3/5))/2	$\sqrt{\frac{1 + (- \frac{3}{5})}{2}}$
174598	Schreibe den Bruch vollständig gekürzt	(4a-1)/(1-4a)	$\frac{4 a - 1}{1 - 4 a}$
174599	Schreibe in Normalform	4+ Quadratwurzel von -9	$4 + \sqrt{- 9}$
174600	Vereinfache	(x^5y^2z^8)/((xy)^-3)	$\frac{x^{5} y^{2} z^{8}}{{(x y)}^{- 3}}$