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Recent Popular Problems

Classificação	Tópico	Problema	Problema formatado
34501	Determina a amplitude, período e desfasamento	y=4sin((4pix)/5-3)	$y = 4 \sin (\frac{4 π x}{5} - 3)$
34502	Simplifique a Expressão Radical	(81x^-12y^20)^(-3/4)	${(81 x^{- 12} y^{20})}^{- \frac{3}{4}}$
34503	Simplifique	(7x+4)/(x^2+3x+2)-(3x-2)/(x^2+3x+2)	$\frac{7 x + 4}{x^{2} + 3 x + 2} - \frac{3 x - 2}{x^{2} + 3 x + 2}$
34504	Löse nach x auf	base do logaritmo 8 de x = base do logaritmo 8 de 10^-1	$\log_{8} (x) = \log_{8} (10^{- 1})$
34505	Fatorizar	(x-4)^2-(10x+1)^2	${(x - 4)}^{2} - {(10 x + 1)}^{2}$
34506	Löse das System von Equations	x+2y=21 and -2x-y=-12	$x + 2 y = 21$ and $- 2 x - y = - 12$
34507	Representa a função num gráfico cartesiano	-1/8<x<=3/2	$- \frac{1}{8} < x \leq \frac{3}{2}$
34508	Löse die Ungleichung nach n auf	-34+7n>8(2+4n)	$- 34 + 7 n > 8 (2 + 4 n)$
34509	Avalia	x^5=32	$x^{5} = 32$
34510	Representa a função num gráfico cartesiano	x-2y>-2 2x+y>3	$x - 2 y > - 2$ $2 x + y > 3$
34511	Desenvolve utilizando o Teorema do Binómio de Newton.	(2x^2y^3-1/4y)^9	${(2 x^{2} y^{3} - \frac{1}{4} y)}^{9}$
34512	Simplifique	-y^2+4x^2-y-7y^2+3y^2-4x^2-2x^2	$- y^{2} + 4 x^{2} - y - 7 y^{2} + 3 y^{2} - 4 x^{2} - 2 x^{2}$
34513	Determina o valor trigonométrico	cot(theta)=5/12 , csc(theta)	$\cot (θ) = \frac{5}{12}$ , $\csc (θ)$
34514	Representa a função num gráfico cartesiano	2x-5y>-15 3x+y>=7	$2 x - 5 y > - 15$ $3 x + y \geq 7$
34515	Simplifique	raiz cúbica de 27 raiz quadrada de 3	$\sqrt[3]{27 \sqrt{3}}$
34516	Avalie o Limite	limite à medida que x se aproxima de 2 de ( raiz quadrada de 2x-2)/( raiz quadrada de 14x-3-5)	$lim_{x \to 2} \frac{\sqrt{2 x} - 2}{\sqrt{14 x - 3} - 5}$
34517	Fatoriza por Agrupamento	2m^6-24m^5+64m^4	$2 m^{6} - 24 m^{5} + 64 m^{4}$
34518	Representa a função num gráfico cartesiano	f(x)< = square root of x-6+2	$f (x) \leq \sqrt{x - 6} + 2$
34519	Determina o produto	(5x-y^2)(25x^2+5xy^2+y^4)	$(5 x - y^{2}) (25 x^{2} + 5 x y^{2} + y^{4})$
34520	Löse nach x auf	logaritmo de x^2-2+2 logaritmo de 6 = logaritmo de 6x	$\log (x^{2} - 2) + 2 \log (6) = \log (6 x)$
34521	Löse nach y auf	y=-(2^-5)	$y = - (2^{- 5})$
34522	Simplifique	8/(2x^2-7x+5)+(3x+2)/(2x^2-x-10)	$\frac{8}{2 x^{2} - 7 x + 5} + \frac{3 x + 2}{2 x^{2} - x - 10}$
34523	Simplifique	(3-6i)/(3i)	$\frac{3 - 6 i}{3 i}$
34524	Determina o valor exato	3 raiz quadrada de -27	$3 \sqrt{- 27}$
34525	Multiplique	raiz cúbica de 4x* raiz cúbica de 2x	$\sqrt[3]{4 x} \cdot \sqrt[3]{2 x}$
34526	Divide	( raiz quadrada de 6x)/( raiz quadrada de 3x)	$\frac{\sqrt{6 x}}{\sqrt{3 x}}$
34527	Resolva ao Completar o Quadrado	x^2+7/2x-7=0	$x^{2} + \frac{7}{2} x - 7 = 0$
34528	Löse nach x auf	2^3*4^x=2^11	$2^{3} \cdot 4^{x} = 2^{11}$
34529	Simplifique	1/(cos(x))+1/(sin(x))	$\frac{1}{\cos (x)} + \frac{1}{\sin (x)}$
34530	Fatorizar	(x-4)^2-(9x-1)^2	${(x - 4)}^{2} - {(9 x - 1)}^{2}$
34531	Löse nach w auf	(2w+8)(2w+10)=224	$(2 w + 8) (2 w + 10) = 224$
34532	Representa a função num gráfico cartesiano	\|x\|<4 and \|y\|<2	$\| x \| < 4$ and $\| y \| < 2$
34533	Ermittle die Ableitung - d/dx	Find the derivative of raiz cúbica de 6x+2	Find the derivative of $\sqrt[3]{6 x + 2}$
34534	Avalia	(1+cos(theta))(1-cos(theta))=sin(theta)^2	$(1 + \cos (θ)) (1 - \cos (θ)) = \sin^{2} (θ)$
34535	Encontre os Interceptos em x e y	f(x)=3(3x+1)	$f (x) = 3 (3 x + 1)$
34536	Löse die Ungleichung nach f auf	9f-2(3f+5)<=8	$9 f - 2 (3 f + 5) \leq 8$
34537	Simplifique	2/3y+1/3y-y	$\frac{2}{3} y + \frac{1}{3} y - y$
34538	Representa a função num gráfico cartesiano	f(x)=x^2-2x+1=0	$f (x) = x^{2} - 2 x + 1 = 0$
34539	Simplifique	(m-2n)(3m+5n)+4mn	$(m - 2 n) (3 m + 5 n) + 4 m n$
34540	Determina as assíntotas	f(x)=(2x^2+3x+7)/( raiz quadrada de x^6+2)	$f (x) = \frac{2 x^{2} + 3 x + 7}{\sqrt{x^{6} + 2}}$
34541	Löse die Ungleichung nach x auf	cos(x)>=1/2	$\cos (x) \geq \frac{1}{2}$
34542	Simplifique	raiz quadrada de 5x raiz quadrada de 7y	$\sqrt{5 x} \sqrt{7 y}$
34543	Determina o declive	What is the slope of the line through (-1,8) and (3,-4) ?	What is the slope of the line through $(- 1, 8)$ and $(3, - 4)$ ?
34544	Simplifique	((x^-2y)/(z^2))^-4	${(\frac{x^{- 2} y}{z^{2}})}^{- 4}$
34545	Löse die Ungleichung nach x auf	5x^2+25x+8<=4x+4	$5 x^{2} + 25 x + 8 \leq 4 x + 4$
34546	Avalie a Integral	integral de -2 a 1 de (4x^3+5x^2-x+1) com relação a x	$\int_{- 2}^{1} (4 x^{3} + 5 x^{2} - x + 1) d x$
34547	Determina a equação através da equação reduzida da reta	y=3x+6 , (4,7)	$y = 3 x + 6$ , $(4, 7)$
34548	Determina o quociente da diferença	x^2+1	$x^{2} + 1$
34549	Löse nach p auf	-p/3-8=3	$- \frac{p}{3} - 8 = 3$
34550	Simplifique a Expressão Radical	raiz quadrada de (x+1)^4	$\sqrt{{(x + 1)}^{4}}$
34551	Simplifique a Expressão Radical	(m^(-5/8))(m^(3/8))	$(m^{- \frac{5}{8}}) (m^{\frac{3}{8}})$
34552	Ermittle die Ableitung - d/dx	(3x^3)/(2x^3-1)	$\frac{3 x^{3}}{2 x^{3} - 1}$
34553	Simplifique	((-6x)/(x+y))/(y/(x^2))	$\frac{\frac{- 6 x}{x + y}}{\frac{y}{x^{2}}}$
34554	Simplifique	raiz quarta de 9(a+3)^2	$\sqrt[4]{9 {(a + 3)}^{2}}$
34555	Löse nach x auf	raiz quadrada de 3x-3/4=0	$\sqrt{3 x} - \frac{3}{4} = 0$
34556	Adiciona	(4x^3-5x^2+3x-8)+(2x^3-2x^2+6x+12)	$(4 x^{3} - 5 x^{2} + 3 x - 8) + (2 x^{3} - 2 x^{2} + 6 x + 12)$
34557	Ermittle die Second-Ableitung	5x^(-1/2)	$5 x^{- \frac{1}{2}}$
34558	Avalia	(x^-8y^-6y^5)/(x^-3)	$\frac{x^{- 8} y^{- 6} y^{5}}{x^{- 3}}$
34559	Divide	(2/3)/(7/8)	$\frac{\frac{2}{3}}{\frac{7}{8}}$
34560	Determina o centro e o raio	x^2+y^2+z^2-6x+4y-2z=11	$x^{2} + y^{2} + z^{2} - 6 x + 4 y - 2 z = 11$
34561	Divide	(a-a^4)/(a^2+a+1)	$\frac{a - a^{4}}{a^{2} + a + 1}$
34562	Simplifique	raiz quadrada de x* raiz quadrada de x^3	$\sqrt{x} \cdot \sqrt{x^{3}}$
34563	Simplifique	2k(-3k^3+k^2-10)	$2 k (- 3 k^{3} + k^{2} - 10)$
34564	Avalie a Função	f(-3)=6/(2x-3)	$f (- 3) = \frac{6}{2 x - 3}$
34565	Löse nach y auf	x+(y-1)^2=0	$x + {(y - 1)}^{2} = 0$
34566	Multiplique	base do logaritmo 3 de 5* base do logaritmo 2 de 3* base do logaritmo 5 de 16	$\log_{3} (5) \cdot \log_{2} (3) \cdot \log_{5} (16)$
34567	Simplifique	raiz quadrada de 48+3 raiz quadrada de 27-7( raiz quadrada de 12- raiz quadrada de 75)	$\sqrt{48} + 3 \sqrt{27} - 7 (\sqrt{12} - \sqrt{75})$
34568	Ermittle dy/dx	y^3-3y^2-9y+2x^2+20x=-27	$y^{3} - 3 y^{2} - 9 y + 2 x^{2} + 20 x = - 27$
34569	Adiciona	(7x)/(x-7)+(7x+3)/(x-6)	$\frac{7 x}{x - 7} + \frac{7 x + 3}{x - 6}$
34570	Löse die rationale Gleichung nach x auf	raiz quadrada de (x-1)^2=1-x	$\sqrt{{(x - 1)}^{2}} = 1 - x$
34571	Subtraia	(4x-3)/(x^2-9)-(2x-3)/(x-3)	$\frac{4 x - 3}{x^{2} - 9} - \frac{2 x - 3}{x - 3}$
34572	Ermittle die Ableitung - d/dx	Find the derivative of sin(x+5)^2	Find the derivative of $\sin^{2} (x + 5)$
34573	Simplifique	(x-y)/x-(y-x)/y+(x^2+y^2)/(xy)	$\frac{(x - y)}{x} - \frac{(y - x)}{y} + \frac{(x^{2} + y^{2})}{x y}$
34574	Resolva Usando a Propriedade de Raiz Quadrada	1/4(x+1)^2-16=0	$\frac{1}{4} {(x + 1)}^{2} - 16 = 0$
34575	Representa a função num gráfico cartesiano	tan(theta)>0 and csc(theta)<0	$\tan (θ) > 0$ and $\csc (θ) < 0$
34576	Determina a média geométrica	4 and 7	$4$ and $7$
34577	Löse nach y auf	y-5=3-9(y+2)	$y - 5 = 3 - 9 (y + 2)$
34578	Avalia	18+6÷3(2^2+5)	$18 + 6 \div 3 (2^{2} + 5)$
34579	Löse nach x auf	5x^3+3x-2x^3=3x^3	$5 x^{3} + 3 x - 2 x^{3} = 3 x^{3}$
34580	Löse nach x auf	x^3+x^2-2=0	$x^{3} + x^{2} - 2 = 0$
34581	Determina o valor exato	-5(20-10)	$- 5 (20 - 10)$
34582	Simplifique	(8y^-2)/(2x)	$\frac{(8 y^{- 2})}{2 x}$
34583	Simplifique	(cot(x)sec(x)^2-cot(x))/(sin(x)tan(x)+cos(x))	$\frac{\cot (x) \sec^{2} (x) - \cot (x)}{\sin (x) \tan (x) + \cos (x)}$
34584	Determina o domínio e a amplitude	f(x)=2sin(2x)-pi/2	$f (x) = 2 \sin (2 x) - \frac{π}{2}$
34585	Simplifique	( raiz cúbica de 54)/( raiz sexta de 4)	$\frac{\sqrt[3]{54}}{\sqrt[6]{4}}$
34586	Multiplique	(3x-9)/(9x^2-4)*(3x-2)/(5x+7)	$\frac{3 x - 9}{9 x^{2} - 4} \cdot \frac{3 x - 2}{5 x + 7}$
34587	Determina o m.m.c.	x^2+6x+9 and x^2+8x+15	$x^{2} + 6 x + 9$ and $x^{2} + 8 x + 15$
34588	Ermittle die Ableitung - d/dx	1+ raiz quadrada de 2x	$1 + \sqrt{2 x}$
34589	Determina todas as raízes complexas	1-3/(x-1)=-6/(x^2-1)	$1 - \frac{3}{x - 1} = - \frac{6}{x^{2} - 1}$
34590	Determina o domínio e a amplitude	y=3 raiz quadrada de -x-6	$y = 3 \sqrt{- x} - 6$
34591	Löse die Ungleichung nach x auf	-8<=(-3x+1)/4<=11	$- 8 \leq \frac{- 3 x + 1}{4} \leq 11$
34592	Encontre os Interceptos em x e y	f(x)=4(x+4)(2x+5)^2(x+4)	$f (x) = 4 (x + 4) {(2 x + 5)}^{2} (x + 4)$
34593	Determina todas as raízes complexas	-8x^2-8=-32	$- 8 x^{2} - 8 = - 32$
34594	Löse nach x auf	3x<=-5/4	$3 x \leq - \frac{5}{4}$
34595	Simplifique	(x^2+7x-8)/(x-7)(x^3-12x^2+35x)/(x^2-3x+2)(x^2-11x+18)/(4x^3+12x^2-160x)	$\frac{x^{2} + 7 x - 8}{x - 7} \cdot \frac{x^{3} - 12 x^{2} + 35 x}{x^{2} - 3 x + 2} \cdot \frac{x^{2} - 11 x + 18}{4 x^{3} + 12 x^{2} - 160 x}$
34596	Simplifique	((x^2-9)/(x^2-25))÷((x^2-8x+15)/(x^2+7x+10))	$\frac{x^{2} - 9}{x^{2} - 25} \div \frac{x^{2} - 8 x + 15}{x^{2} + 7 x + 10}$
34597	Determina o m.d.c.	6xy , 15x^2 , 9xy^4	$6 x y$ , $15 x^{2}$ , $9 x y^{4}$
34598	Löse nach x auf	x/2=x	$\frac{x}{2} = x$
34599	Divide	(3 raiz quadrada de 20)/(2 raiz quadrada de 4)	$\frac{3 \sqrt{20}}{2 \sqrt{4}}$
34600	Simplifique	(16i^2)/(2i)	$\frac{16 i^{2}}{2 i}$