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Recent Popular Problems

Rang	Thema	Aufgabe	Formatierte Aufgabe
1	미분 구하기 - d/dX	1/(X^3)	$\frac{1}{X^{3}}$ $\frac{1}{X^{3}}$
2	X 구하기	X^2=81	$X^{2} = 81$ $X^{2} = 81$
3	Schreibe in Exponentialform	Kubikwurzel von 4+ fünfte Wurzel von 2	$\sqrt[3]{4} + \sqrt[5]{2}$ $\sqrt[3]{4} + \sqrt[5]{2}$
4	Vereinfache	(6- Quadratwurzel von 2)/(4-3 Quadratwurzel von 2)	$\frac{6 - \sqrt{2}}{4 - 3 \sqrt{2}}$ $\frac{6 - \sqrt{2}}{4 - 3 \sqrt{2}}$
5	X 구하기	X^2-8X=0	$X^{2} - 8 X = 0$ $X^{2} - 8 X = 0$
6	Dividiere	(5x^4y^2+20xy^6-10x)÷5xy^2	$(5 x^{4} y^{2} + 20 x y^{6} - 10 x) \div 5 x y^{2}$ $(5 x^{4} y^{2} + 20 x y^{6} - 10 x) \div 5 x y^{2}$
7	Vereinfache	5^-1(3^-2)	$5^{- 1} (3^{- 2})$ $5^{- 1} (3^{- 2})$
8	Multipliziere	-3ab(5a-8b)	$- 3 a b (5 a - 8 b)$ $- 3 a b (5 a - 8 b)$
9	x 구하기	1/2(4x-10)+5=x-11	$\frac{1}{2} (4 x - 10) + 5 = x - 11$ $\frac{1}{2} (4 x - 10) + 5 = x - 11$
10	x 구하기	\|4x-4(x+1)\|=4	$\| 4 x - 4 (x + 1) \| = 4$ $\| 4 x - 4 (x + 1) \| = 4$
11	Bestimme das Produkt	Quadratwurzel von 5* Kubikwurzel von 5	$\sqrt{5} \cdot \sqrt[3]{5}$ $\sqrt{5} \cdot \sqrt[3]{5}$
12	Vereinfache	(9 Quadratwurzel von 2)/( Quadratwurzel von 10+ Quadratwurzel von 18)	$\frac{9 \sqrt{2}}{\sqrt{10} + \sqrt{18}}$ $\frac{9 \sqrt{2}}{\sqrt{10} + \sqrt{18}}$
13	Ermittle die Stammfunktion	f(x)=2x^(2/3)-5x^3	$f (x) = 2 x^{\frac{2}{3}} - 5 x^{3}$ $f (x) = 2 x^{\frac{2}{3}} - 5 x^{3}$
14	Berechne	((4/3)(2/5))÷(3/2)	$((\frac{4}{3}) (\frac{2}{5})) \div \frac{3}{2}$ $((\frac{4}{3}) (\frac{2}{5})) \div \frac{3}{2}$
15	Stelle graphisch dar	y=x^3+x^2-2x-1	$y = x^{3} + x^{2} - 2 x - 1$ $y = x^{3} + x^{2} - 2 x - 1$
16	Vereinfache	(-3)^(1/3)(-3)^(1/3)(-3)^(1/3)	${(- 3)}^{\frac{1}{3}} {(- 3)}^{\frac{1}{3}} {(- 3)}^{\frac{1}{3}}$ ${(- 3)}^{\frac{1}{3}} {(- 3)}^{\frac{1}{3}} {(- 3)}^{\frac{1}{3}}$
17	Faktor	(a+3)^2-a(a+3)	${(a + 3)}^{2} - a (a + 3)$ ${(a + 3)}^{2} - a (a + 3)$
18	Vereinfache	(2 Quadratwurzel von 8+3 Quadratwurzel von 5)(6 Quadratwurzel von 8+7 Quadratwurzel von 5)	$(2 \sqrt{8} + 3 \sqrt{5}) (6 \sqrt{8} + 7 \sqrt{5})$ $(2 \sqrt{8} + 3 \sqrt{5}) (6 \sqrt{8} + 7 \sqrt{5})$
19	x 구하기	(3x)/2-223=x+88	$\frac{3 x}{2} - 223 = x + 88$ $\frac{3 x}{2} - 223 = x + 88$
20	Vereinfache	-2x Quadratwurzel von 3xy^3z^7	$- 2 x \sqrt{3 x y^{3} z^{7}}$ $- 2 x \sqrt{3 x y^{3} z^{7}}$
21	B 구하기	a=1/2(b+B)h	$a = \frac{1}{2} (b + B) h$ $a = \frac{1}{2} (b + B) h$
22	x 구하기	(2(x+9))/3=(3(x+8))/5+88	$\frac{2 (x + 9)}{3} = \frac{3 (x + 8)}{5} + 88$ $\frac{2 (x + 9)}{3} = \frac{3 (x + 8)}{5} + 88$
23	x 구하기	2(-3(x-1)+5)-2(3x-5)=2(1-2x)	$2 (- 3 (x - 1) + 5) - 2 (3 x - 5) = 2 (1 - 2 x)$ $2 (- 3 (x - 1) + 5) - 2 (3 x - 5) = 2 (1 - 2 x)$
24	Mache den Nenner rational	5/(-4+ Quadratwurzel von 5)	$\frac{5}{- 4 + \sqrt{5}}$ $\frac{5}{- 4 + \sqrt{5}}$
25	x 구하기	2x-528=x/4+x+270	$2 x - 528 = \frac{x}{4} + x + 270$ $2 x - 528 = \frac{x}{4} + x + 270$
26	Berechne	(4((2-5)^3-4(1/2-5/3)^2)+3(2/6))- Quadratwurzel von 4	$(4 ({(2 - 5)}^{3} - 4 {(\frac{1}{2} - \frac{5}{3})}^{2}) + 3 (\frac{2}{6})) - \sqrt{4}$ $(4 ({(2 - 5)}^{3} - 4 {(\frac{1}{2} - \frac{5}{3})}^{2}) + 3 (\frac{2}{6})) - \sqrt{4}$
27	Berechne den Grenzwert	rechtsseitiger Limes von (x-3)/(\|x^3-3x^2\|) für x gegen 3	$lim_{x \to 3^{+}} \frac{x - 3}{\| x^{3} - 3 x^{2} \|}$ $lim_{x \to 3^{+}} \frac{x - 3}{\| x^{3} - 3 x^{2} \|}$
28	a 구하기	4a^3-a^2=2a^2	$4 a^{3} - a^{2} = 2 a^{2}$ $4 a^{3} - a^{2} = 2 a^{2}$
29	Ermittle den Scheitelpunkt	Y=x^2+4x	$Y = x^{2} + 4 x$ $Y = x^{2} + 4 x$
30	x 구하기	(x+51)/2=x-71	$\frac{x + 51}{2} = x - 71$ $\frac{x + 51}{2} = x - 71$
31	x 구하기	Logarithmische Basis x von x+6=2	$\log_{x} (x + 6) = 2$ $\log_{x} (x + 6) = 2$
32	Ermittle den Maximum-/Minimumwert	y=x^3+3x^2+1	$y = x^{3} + 3 x^{2} + 1$ $y = x^{3} + 3 x^{2} + 1$
33	미분 구하기 - d/dx	y = square root of x+x^(3/2)-8x	$y = \sqrt{x} + x^{\frac{3}{2}} - 8 x$ $y = \sqrt{x} + x^{\frac{3}{2}} - 8 x$
34	y 구하기	x-1=2y	$x - 1 = 2 y$ $x - 1 = 2 y$
35	미분 구하기 - d/dx	y=x^3-2x^2-6x+pi	$y = x^{3} - 2 x^{2} - 6 x + π$ $y = x^{3} - 2 x^{2} - 6 x + π$
36	x 구하기	3x-4(2+x)=18	$3 x - 4 (2 + x) = 18$ $3 x - 4 (2 + x) = 18$
37	Stelle graphisch dar	table[[x,y]]	$\begin{array}{c} x & y \end{array}$ $\begin{array}{c} x & y \end{array}$
38	Vereinfache	(2t^-3)^3(0.4r)^2	${(2 t^{- 3})}^{3} {(0.4 r)}^{2}$ ${(2 t^{- 3})}^{3} {(0.4 r)}^{2}$
39	Berechne	((2+(-5+4)-(-8))-2)	$((2 + (- 5 + 4) - (- 8)) - 2)$ $((2 + (- 5 + 4) - (- 8)) - 2)$
40	x 구하기	(1-5.1x)-(1.7x+5.4)=1	$(1 - 5.1 x) - (1.7 x + 5.4) = 1$ $(1 - 5.1 x) - (1.7 x + 5.4) = 1$
41	Faktor	1-bx-x+b	$1 - b x - x + b$ $1 - b x - x + b$
42	x 구하기	8+2x-1=x-2-5x	$8 + 2 x - 1 = x - 2 - 5 x$ $8 + 2 x - 1 = x - 2 - 5 x$
43	x 구하기	3 Quadratwurzel von x=5	$3 \sqrt{x} = 5$ $3 \sqrt{x} = 5$
44	x 구하기	(2x-30)/5+(3x-55)/4=(22x-70)/20	$\frac{2 x - 30}{5} + \frac{3 x - 55}{4} = \frac{22 x - 70}{20}$ $\frac{2 x - 30}{5} + \frac{3 x - 55}{4} = \frac{22 x - 70}{20}$
45	x 구하기	3x^2=-12-5x	$3 x^{2} = - 12 - 5 x$ $3 x^{2} = - 12 - 5 x$
46	x 구하기	(3x)/2+1/6=(2x)/3-2/3	$\frac{3 x}{2} + \frac{1}{6} = \frac{2 x}{3} - \frac{2}{3}$ $\frac{3 x}{2} + \frac{1}{6} = \frac{2 x}{3} - \frac{2}{3}$
47	Vereinfache	(3a^2bc^3)^3	${(3 a^{2} b c^{3})}^{3}$ ${(3 a^{2} b c^{3})}^{3}$
48	x 구하기	Quadratwurzel von x-2x+7=0	$\sqrt{x} - 2 x + 7 = 0$ $\sqrt{x} - 2 x + 7 = 0$
49	Vereinfache	(2+ Quadratwurzel von 5)(5- Quadratwurzel von 7)	$(2 + \sqrt{5}) (5 - \sqrt{7})$ $(2 + \sqrt{5}) (5 - \sqrt{7})$
50	Vereinfache	(x^2)/(3ax-2-x+6a)-x/(3a-1)	$\frac{x^{2}}{3 a x - 2 - x + 6 a} - \frac{x}{3 a - 1}$ $\frac{x^{2}}{3 a x - 2 - x + 6 a} - \frac{x}{3 a - 1}$
51	Berechne	(9 Quadratwurzel von 2)/( Quadratwurzel von 10+ Quadratwurzel von 18)	$\frac{9 \sqrt{2}}{\sqrt{10} + \sqrt{18}}$ $\frac{9 \sqrt{2}}{\sqrt{10} + \sqrt{18}}$
52	x 구하기	Quadratwurzel von (x-1)^2=1-x	$\sqrt{{(x - 1)}^{2}} = 1 - x$ $\sqrt{{(x - 1)}^{2}} = 1 - x$
53	x 구하기	x/3-1/4=1/3-x/4	$\frac{x}{3} - \frac{1}{4} = \frac{1}{3} - \frac{x}{4}$ $\frac{x}{3} - \frac{1}{4} = \frac{1}{3} - \frac{x}{4}$
54	c 구하기	9/5c+32=F	$\frac{9}{5} c + 32 = F$ $\frac{9}{5} c + 32 = F$
55	Berechne	(1/3)÷(3/7)-3/5*1/2	$\frac{1}{3} \div \frac{3}{7} - \frac{3}{5} \cdot \frac{1}{2}$ $\frac{1}{3} \div \frac{3}{7} - \frac{3}{5} \cdot \frac{1}{2}$
56	Mache den Nenner rational	( Kubikwurzel von 9)/( Kubikwurzel von 6)	$\frac{\sqrt[3]{9}}{\sqrt[3]{6}}$ $\frac{\sqrt[3]{9}}{\sqrt[3]{6}}$
57	Bestimme den Definitionsbereich	(y-1)/(y Quadratwurzel von y+1)	$\frac{y - 1}{y \sqrt{y + 1}}$ $\frac{y - 1}{y \sqrt{y + 1}}$
58	Vereinfache	vierte Wurzel von (m^10)/16	$\sqrt[4]{\frac{m^{10}}{16}}$ $\sqrt[4]{\frac{m^{10}}{16}}$
59	Berechne	(4((3-5)^2-2(5/2-6/4)^3)+6(8/12))- Quadratwurzel von 25	$(4 ({(3 - 5)}^{2} - 2 {(\frac{5}{2} - \frac{6}{4})}^{3}) + 6 (\frac{8}{12})) - \sqrt{25}$ $(4 ({(3 - 5)}^{2} - 2 {(\frac{5}{2} - \frac{6}{4})}^{3}) + 6 (\frac{8}{12})) - \sqrt{25}$
60	Vereinfache	Quadratwurzel von (a^4b^4)/(c^3)	$\sqrt{\frac{a^{4} b^{4}}{c^{3}}}$ $\sqrt{\frac{a^{4} b^{4}}{c^{3}}}$
61	M 구하기	M/5+9=11	$\frac{M}{5} + 9 = 11$ $\frac{M}{5} + 9 = 11$
62	Vereinfache	(2sin(A)cos(A)-cos(A))/(1-sin(A)+sin(A)^2cos(A)^2)	$\frac{2 \sin (A) \cos (A) - \cos (A)}{1 - \sin (A) + \sin^{2} (A) \cos^{2} (A)}$ $\frac{2 \sin (A) \cos (A) - \cos (A)}{1 - \sin (A) + \sin^{2} (A) \cos^{2} (A)}$
63	Vereinfache	sin(theta)^2+sin(theta)^2*tan(theta)^2	$\sin^{2} (θ) + \sin^{2} (θ) \cdot \tan^{2} (θ)$ $\sin^{2} (θ) + \sin^{2} (θ) \cdot \tan^{2} (θ)$
64	Solve the Rational Equation for x	Quadratwurzel von x=10	$\sqrt{x} = 10$ $\sqrt{x} = 10$
65	Faktor	a^7b^2-ab^2	$a^{7} b^{2} - a b^{2}$ $a^{7} b^{2} - a b^{2}$
66	Ermittle die Stammfunktion	f(x)=(x^3)/2-3x^-2-2x^3-x^(3/2)	$f (x) = \frac{x^{3}}{2} - 3 x^{- 2} - 2 x^{3} - x^{\frac{3}{2}}$ $f (x) = \frac{x^{3}}{2} - 3 x^{- 2} - 2 x^{3} - x^{\frac{3}{2}}$
67	Berechne den Grenzwert	linksseitiger Limes von (x-3)/(\|x^3-3x^2\|) für x gegen 3	$lim_{x \to 3^{-}} \frac{x - 3}{\| x^{3} - 3 x^{2} \|}$ $lim_{x \to 3^{-}} \frac{x - 3}{\| x^{3} - 3 x^{2} \|}$
68	x 구하기	4(x+6)-x=6(x-111)-2x+305	$4 (x + 6) - x = 6 (x - 111) - 2 x + 305$ $4 (x + 6) - x = 6 (x - 111) - 2 x + 305$
69	x 구하기	2x^2(x^2+1)=0	$2 x^{2} (x^{2} + 1) = 0$ $2 x^{2} (x^{2} + 1) = 0$
70	Multipliziere	Quadratwurzel von 5* Kubikwurzel von 5	$\sqrt{5} \cdot \sqrt[3]{5}$ $\sqrt{5} \cdot \sqrt[3]{5}$
71	Vereinfache	p(p^-7q^3)^-2q^-3	$p {(p^{- 7} q^{3})}^{- 2} q^{- 3}$ $p {(p^{- 7} q^{3})}^{- 2} q^{- 3}$
72	x 구하기	1-(x-3)/2=(2-x)/3+4	$1 - \frac{x - 3}{2} = \frac{2 - x}{3} + 4$ $1 - \frac{x - 3}{2} = \frac{2 - x}{3} + 4$
73	θ 구하기	-2sin(theta)^2+cos(theta)+1=0	$- 2 \sin^{2} (θ) + \cos (θ) + 1 = 0$ $- 2 \sin^{2} (θ) + \cos (θ) + 1 = 0$
74	Stelle graphisch dar	x^2+(y-3 Quadratwurzel von 2x)^2=1	$x^{2} + {(y - 3 \sqrt{2 x})}^{2} = 1$ $x^{2} + {(y - 3 \sqrt{2 x})}^{2} = 1$
75	Bestimme das Produkt	(2x+3y+5)^2	${(2 x + 3 y + 5)}^{2}$ ${(2 x + 3 y + 5)}^{2}$
76	F 구하기	s=3F-24	$s = 3 F - 24$ $s = 3 F - 24$
77	Ermittle die Stammfunktion	f(x)=x/2-4x^3-x^4	$f (x) = \frac{x}{2} - 4 x^{3} - x^{4}$ $f (x) = \frac{x}{2} - 4 x^{3} - x^{4}$
78	x 구하기	6/19=(x-12)/(2x-2)	$\frac{6}{19} = \frac{x - 12}{2 x - 2}$ $\frac{6}{19} = \frac{x - 12}{2 x - 2}$
79	Vereinfache	(1+(tan(theta)+1)/(tan(theta)))/(-1+(tan(theta)-1)/(tan(theta)))	$\frac{1 + \frac{\tan (θ) + 1}{\tan (θ)}}{- 1 + \frac{\tan (θ) - 1}{\tan (θ)}}$ $\frac{1 + \frac{\tan (θ) + 1}{\tan (θ)}}{- 1 + \frac{\tan (θ) - 1}{\tan (θ)}}$
80	Faktor	-3b(b-2)+7(b-2)^2	$- 3 b (b - 2) + 7 {(b - 2)}^{2}$ $- 3 b (b - 2) + 7 {(b - 2)}^{2}$
81	Faktor	b^6-3b^4-2b^2+6	$b^{6} - 3 b^{4} - 2 b^{2} + 6$ $b^{6} - 3 b^{4} - 2 b^{2} + 6$
82	미분 구하기 - d/dx	y=1/( Kubikwurzel von x-1)	$y = \frac{1}{\sqrt[3]{x - 1}}$ $y = \frac{1}{\sqrt[3]{x - 1}}$
83	x 구하기	9x^2-1-(3x-2)^2=0	$9 x^{2} - 1 - {(3 x - 2)}^{2} = 0$ $9 x^{2} - 1 - {(3 x - 2)}^{2} = 0$
84	Bestimme den Definitionsbereich	(5x)/( Quadratwurzel von 14-x)	$\frac{5 x}{\sqrt{14 - x}}$ $\frac{5 x}{\sqrt{14 - x}}$
85	Berechne	(10^0r^-11s)/(3^2)	$\frac{10^{0} r^{- 11} s}{3^{2}}$ $\frac{10^{0} r^{- 11} s}{3^{2}}$
86	Vereinfache	4^05^-26^-1*100^01/(2^-1)	$4^{0} \cdot 5^{- 2} \cdot 6^{- 1} \cdot 100^{0} \frac{1}{2^{- 1}}$ $4^{0} \cdot 5^{- 2} \cdot 6^{- 1} \cdot 100^{0} \frac{1}{2^{- 1}}$
87	Stelle graphisch dar	y<=-3x+1 y>=-1/4x+6	$y \leq - 3 x + 1$ $y \leq - 3 x + 1$ $y \geq - \frac{1}{4} x + 6$ $y \geq - \frac{1}{4} x + 6$
88	Vereinfache	2m4b-3a2n-0.2b5m+n5a-5bm+8na	$2 m \cdot 4 b - 3 a \cdot 2 n - 0.2 b \cdot 5 m + n \cdot 5 a - 5 b m + 8 n a$ $2 m \cdot 4 b - 3 a \cdot 2 n - 0.2 b \cdot 5 m + n \cdot 5 a - 5 b m + 8 n a$
89	Vereinfache	(3x)/(2y+3)+(x^2+3x)/(4xy-3-2y+6x)	$\frac{3 x}{2 y + 3} + \frac{x^{2} + 3 x}{4 x y - 3 - 2 y + 6 x}$ $\frac{3 x}{2 y + 3} + \frac{x^{2} + 3 x}{4 x y - 3 - 2 y + 6 x}$
90	Berechne	15c^-8d^0	$15 c^{- 8} d^{0}$ $15 c^{- 8} d^{0}$
91	Vereinfache	(8a^(m+3))^3*(1/4a^(1-m))^6	${(8 a^{m + 3})}^{3} \cdot {(\frac{1}{4} a^{1 - m})}^{6}$ ${(8 a^{m + 3})}^{3} \cdot {(\frac{1}{4} a^{1 - m})}^{6}$
92	Vereinfache	(-16-8)/2+25÷5+1	$\frac{- 16 - 8}{2} + 25 \div 5 + 1$ $\frac{- 16 - 8}{2} + 25 \div 5 + 1$
93	Vereinfache	Quadratwurzel von (2x)/y	$\sqrt{\frac{2 x}{y}}$ $\sqrt{\frac{2 x}{y}}$
94	Faktor	11x-xy+11y-x^2	$11 x - x y + 11 y - x^{2}$ $11 x - x y + 11 y - x^{2}$
95	Faktor	ab-3b+b^2-3a	$a b - 3 b + b^{2} - 3 a$ $a b - 3 b + b^{2} - 3 a$
96	x 구하기	2x+x^2=0	$2 x + x^{2} = 0$ $2 x + x^{2} = 0$
97	x 구하기	1/5x+1/4=1/2(x+5)	$\frac{1}{5} x + \frac{1}{4} = \frac{1}{2} (x + 5)$ $\frac{1}{5} x + \frac{1}{4} = \frac{1}{2} (x + 5)$
98	Vereinfache	3 Quadratwurzel von 12+1/2 Quadratwurzel von 96- Quadratwurzel von 54	$3 \sqrt{12} + \frac{1}{2} \sqrt{96} - \sqrt{54}$ $3 \sqrt{12} + \frac{1}{2} \sqrt{96} - \sqrt{54}$
99	Dividiere	(3a^3-15a^2b+12ab^2)/(3a^2b)	$\frac{3 a^{3} - 15 a^{2} b + 12 a b^{2}}{3 a^{2} b}$ $\frac{3 a^{3} - 15 a^{2} b + 12 a b^{2}}{3 a^{2} b}$
100	Vereinfache	(x^2-1)3x-(x^2-2)2x	$(x^{2} - 1) \cdot 3 x - (x^{2} - 2) \cdot 2 x$ $(x^{2} - 1) \cdot 3 x - (x^{2} - 2) \cdot 2 x$