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Recent Popular Problems

Classificação	Tópico	Problema	Problema formatado
40901	Encontra o Extremo Relativo	f(x)=(x^2-4)^(2/3)	$f (x) = {(x^{2} - 4)}^{\frac{2}{3}}$
40902	Simplifique	( raiz cúbica de ab)/( raiz cúbica de 25)	$\frac{\sqrt[3]{a b}}{\sqrt[3]{25}}$
40903	Löse nach x auf	5x+2(2-x)=3(1+x)+1	$5 x + 2 (2 - x) = 3 (1 + x) + 1$
40904	Divide	((30x+15)/x)÷(10/(3x))	$\frac{30 x + 15}{x} \div \frac{10}{3 x}$
40905	Escreve na Forma de um Radical	2(x^(1/3)y^(5/6))	$2 (x^{\frac{1}{3}} y^{\frac{5}{6}})$
40906	Ermittle die Ableitung - d/dx	y=(x^3)/12+1/x	$y = \frac{x^{3}}{12} + \frac{1}{x}$
40907	Avalia	-9^-2+3^-3+(-7)^0	$- 9^{- 2} + 3^{- 3} + {(- 7)}^{0}$
40908	Löse nach x auf	(3x)/2+x=1/3	$\frac{3 x}{2} + x = \frac{1}{3}$
40909	Representa a função num gráfico cartesiano	x<3 or x>5	$x < 3$ or $x > 5$
40910	Simplifique	raiz quadrada de xy( raiz quadrada de x+ raiz quadrada de y)	$\sqrt{x y} (\sqrt{x} + \sqrt{y})$
40911	Simplifique	((a^5b^4)/(x^6b^3))^0	${(\frac{a^{5} b^{4}}{x^{6} b^{3}})}^{0}$
40912	Determina o declive	(7/6,-1/2) and (1/3,1/3)	$(\frac{7}{6}, - \frac{1}{2})$ and $(\frac{1}{3}, \frac{1}{3})$
40913	Determina a amplitude, período e desfasamento	y=1/2cos(2x-pi)+2	$y = \frac{1}{2} \cos (2 x - π) + 2$
40914	Determina a expressão da função inversa	f(x)=(3x+2)/(4+x)	$f (x) = \frac{3 x + 2}{4 + x}$
40915	Simplifique a Expressão Radical	( cube root of x square root of y)/( fourth root of xy^2)	$\frac{\sqrt[3]{x \sqrt{y}}}{\sqrt[4]{x y^{2}}}$
40916	Avalia	21/20(20)+3/4	$\frac{21}{20} (20) + \frac{3}{4}$
40917	Löse nach k auf	f=(g-h+k)/7	$f = \frac{g - h + k}{7}$
40918	Escreve na Forma Trigonométrica	2sin(10 graus )cos(10 graus )	$2 \sin (10 °) \cos (10 °)$
40919	Ermittle dy/dx	y^2+3x^2=y^3-x^3	$y^{2} + 3 x^{2} = y^{3} - x^{3}$
40920	Determina a equação através da equação reduzida da reta	What is the equation of the line that has a slope of 1/3 and goes through the point (3,1) ?	What is the equation of the line that has a slope of $\frac{1}{3}$ and goes through the point $(3, 1)$ ?
40921	Avalie o Limite	limite à medida que x aproxima infinity de (2x^2+5)/(x^2)	$lim_{x \to \infty} \frac{2 x^{2} + 5}{x^{2}}$
40922	Fatorizar	(4x+6)/(2x+3)	$\frac{4 x + 6}{2 x + 3}$
40923	Determina o eixo de simetria	f(x)=\|x+9\|+1	$f (x) = \| x + 9 \| + 1$
40924	Converta para Retangular	4(cos(pi/3)+ipi/3)	$4 (\cos (\frac{π}{3}) + i \frac{π}{3})$
40925	Löse das System von Equations	2x+4y=28 -2y=x+28	$2 x + 4 y = 28$ $- 2 y = x + 28$
40926	Determina o resto	(3x^4+x^2+3)/(x+1)	$\frac{3 x^{4} + x^{2} + 3}{x + 1}$
40927	Resolva Usando a Fórmula Quadrática	72=2x^2	$72 = 2 x^{2}$
40928	Determina o valor exato	\|-12+8-(-2)\|	$\| - 12 + 8 - (- 2) \|$
40929	Löse die Absolutwert-Ungleichung nach c auf	\|11-2c\|=25	$\| 11 - 2 c \| = 25$
40930	Simplifique	(-1/2xy^6z^8)^2(1/2x^8y^6z)^2	${(- \frac{1}{2} x y^{6} z^{8})}^{2} {(\frac{1}{2} x^{8} y^{6} z)}^{2}$
40931	Avalia	1/( raiz quadrada de 2)-1/( raiz quadrada de 8)+ raiz quadrada de 2	$\frac{1}{\sqrt{2}} - \frac{1}{\sqrt{8}} + \sqrt{2}$
40932	Avalia	2/3+1/2 2/5-1/x=1/3-1/2 2/3	$\frac{2}{3} + \frac{1}{2 \frac{2}{5}} - \frac{1}{x} = \frac{1}{3} - \frac{1}{2 \frac{2}{3}}$
40933	Löse das System von Equations	2x^2+3y^2=4 y=2x	$2 x^{2} + 3 y^{2} = 4$ $y = 2 x$
40934	Simplifique	i raiz quadrada de 3*i raiz quadrada de 3	$i \sqrt{3} \cdot i \sqrt{3}$
40935	Simplifique	13x-3(6(x+2))	$13 x - 3 (6 (x + 2))$
40936	Determina o valor exato	raiz cúbica de 8^4	$\sqrt[3]{8^{4}}$
40937	Löse die Ungleichung nach d auf	d-5<=1	$d - 5 \leq 1$
40938	Ermittle die Ableitung - d/dx	-5/(6 raiz quadrada de x^3)	$- \frac{5}{6 \sqrt{x^{3}}}$
40939	Löse nach b auf	2b-1=b+3	$2 b - 1 = b + 3$
40940	Löse nach p auf	3(2p+1)=5(p+1)	$3 (2 p + 1) = 5 (p + 1)$
40941	Löse nach x auf	( raiz quadrada de 6x+4-1)/4=x	$\frac{\sqrt{6 x + 4} - 1}{4} = x$
40942	Löse das System von Equations	2u=14 graus , cos(2u)=cos(u)^2-sin(u)^2	$2 u = 14 °$ , $\cos (2 u) = \cos^{2} (u) - \sin^{2} (u)$
40943	Avalie o Somatório	2 soma de k=3 a 8 de 9-2k	$2 \sum_{k = 3}^{8} 9 - 2 k$
40944	Avalia	((-8x^3y^2)^2*2x^2y^6)/(32x^8y^3)	$\frac{{(- 8 x^{3} y^{2})}^{2} \cdot 2 x^{2} y^{6}}{32 x^{8} y^{3}}$
40945	Ermittle die Second-Ableitung	y=-2x^2-1/2x^3+1/5x^-4	$y = - 2 x^{2} - \frac{1}{2} x^{3} + \frac{1}{5} x^{- 4}$
40946	Ermittle den First-Term	a_n=(n!)/(n+1)	$a_{n} = \frac{n!}{n + 1}$
40947	Ermittle den Third-Term	a_n=(n!)/(n+1)	$a_{n} = \frac{n!}{n + 1}$
40948	Avalia	2/31/23	$\frac{2}{3} \cdot \frac{1}{2} \cdot 3$
40949	Löse nach x auf	(4x)/9-1/3=x+5/3	$\frac{4 x}{9} - \frac{1}{3} = x + \frac{5}{3}$
40950	Encontre a Antiderivada	(4x-1)/((2x-1)^2)	$\frac{4 x - 1}{{(2 x - 1)}^{2}}$
40951	Avalie o Limite	limite à medida que x aproxima infinity de (10^8x^5+10^6x^4+10^4x^2)/(10^9x^6+10^7x^5+10^5x^3)	$lim_{x \to \infty} \frac{10^{8} x^{5} + 10^{6} x^{4} + 10^{4} x^{2}}{10^{9} x^{6} + 10^{7} x^{5} + 10^{5} x^{3}}$
40952	Subtraia	-1 1/8-5/8	$- 1 \frac{1}{8} - \frac{5}{8}$
40953	Representa a função num gráfico cartesiano	4y=-x^2	$4 y = - x^{2}$
40954	Löse die Ungleichung nach x auf	y<=5/3x-4	$y \leq \frac{5}{3} x - 4$
40955	Löse nach y auf	y=1/2(2)^2	$y = \frac{1}{2} {(2)}^{2}$
40956	Associa Termos Semelhantes	-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5	$- 5 x^{3} y^{3} + 8 x^{4} y^{2} - x y^{5} - 2 x^{2} y^{4} + 8 x^{6} + 3 x^{2} y^{4} - 6 x y^{5}$
40957	Löse nach c auf	5c^2+7c+1=2c	$5 c^{2} + 7 c + 1 = 2 c$
40958	Determina a monotonia da função	f'(x)=2x^3+12x^2-54x	$f' (x) = 2 x^{3} + 12 x^{2} - 54 x$
40959	Löse nach x auf	8+13^(2x-5)=35	$8 + 13^{2 x - 5} = 35$
40960	Resolva por Substituição	y=3/4x+1 y=1/4x+3	$y = \frac{3}{4} x + 1$ $y = \frac{1}{4} x + 3$
40961	Simplifique	8^2-81*1/9	$8^{2} - 81 \cdot \frac{1}{9}$
40962	Löse nach a auf	(y(x-a))/z=t	$\frac{y (x - a)}{z} = t$
40963	Representa a função num gráfico cartesiano	f(y)=x	$f (y) = x$
40964	Escreve na forma de Percentagem	2.05 is what percent of 82 ?	$2.05$ is what percent of $82$ ?
40965	Simplifique	(yx^2)^4*(x^3y^4)^0	${(y x^{2})}^{4} \cdot {(x^{3} y^{4})}^{0}$
40966	Fatorizar	32ax+12bx-48ay-18 by	$32 a x + 12 b x - 48 a y - 18$ by
40967	Avalia	-(1+7x)-6(-7-x)=36	$- (1 + 7 x) - 6 (- 7 - x) = 36$
40968	Simplifique	2* raiz quadrada de 8	$2 \cdot \sqrt{8}$
40969	Resolva a Função Operação	f(x)=6x+2 ; find f(x+3)	$f (x) = 6 x + 2$ ; find $f (x + 3)$
40970	Löse nach x auf	3 raiz cúbica de x+1=2	$3 \sqrt[3]{x + 1} = 2$
40971	Löse nach r auf	-21/4=r-4/5	$- \frac{21}{4} = r - \frac{4}{5}$
40972	Escreve em Notação Científica	((2.0010^4)(1.9010^-3))/((1.044)(500))	$\frac{(2 \times 10^{4}) (1.9 \times 10^{- 3})}{(1.044) (500)}$
40973	Löse das System von Inequalities	x+y>2 4x+y>=-1	$x + y > 2$ $4 x + y \geq - 1$
40974	Löse das System von Equations	6x-y=9 1/3y=-3+2x	$6 x - y = 9$ $\frac{1}{3} y = - 3 + 2 x$
40975	Simplifique	(11xy^-1z^0)/(w^-3)	$\frac{11 x y^{- 1} z^{0}}{w^{- 3}}$
40976	Löse nach a auf	y=(ax+b)/c	$y = \frac{(a x + b)}{c}$
40977	Fatoriza por Agrupamento	x^3+8y^3	$x^{3} + 8 y^{3}$
40978	Avalia	(45-3x)^(1/2)=x-9	${(45 - 3 x)}^{\frac{1}{2}} = x - 9$
40979	Escreva na Forma Padrão	4x-y^2-2y-33=0	$4 x - y^{2} - 2 y - 33 = 0$
40980	Löse die Ungleichung nach x auf	1/2x-7<=x^2	$\frac{1}{2} x - 7 \leq x^{2}$
40981	Löse die rationale Gleichung nach x auf	(2x-9)/(x-7)+x/2=5/(x-7)	$\frac{2 x - 9}{x - 7} + \frac{x}{2} = \frac{5}{x - 7}$
40982	Avalia	55% of 40	$55 %$ of $40$
40983	Simplifique	3/(y+3)+(2y)/(y^2+7y+12)	$\frac{3}{y + 3} + \frac{2 y}{y^{2} + 7 y + 12}$
40984	Ermittle die Ableitung - d/dx	y=-1/2x^4+3x^(5/3)+2x	$y = - \frac{1}{2} x^{4} + 3 x^{\frac{5}{3}} + 2 x$
40985	Ermittle die Third-Ableitung	y=1/2+1/3x^5-1/3x^2+5/9x	$y = \frac{1}{2} + \frac{1}{3} x^{5} - \frac{1}{3} x^{2} + \frac{5}{9} x$
40986	Löse das System von Equations	x=4y x+2y=12	$x = 4 y$ $x + 2 y = 12$
40987	Determina o máximo e mínimo absolutos no intervalo dado	y=3cos(x) , [0,2pi]	$y = 3 \cos (x)$ , $[0, 2 π]$
40988	Determina as raízes (zeros)	C(t)=-0.005t^4+0.139t^3-0.051t^2+1.800t	$C (t) = - 0.005 t^{4} + 0.139 t^{3} - 0.051 t^{2} + 1.8 t$
40989	Avalia	4*(5^2-12)-6	$4 \times (5^{2} - 12) - 6$
40990	Expanda a Expressão Logarítmica	logaritmo natural da raiz quíntupla de x^5(x^4-4)	$\ln (\sqrt[5]{x^{5} (x^{4} - 4)})$
40991	Simplifique	(-2/5y^3)^2	${(- \frac{2}{5} y^{3})}^{2}$
40992	Avalia	base do logaritmo 2 de x-6+ base do logaritmo 2 de 4=3	$\log_{2} (x - 6) + \log_{2} (4) = 3$
40993	Simplifique	raiz quadrada de 6x^2* raiz quadrada de 48x	$\sqrt{6 x^{2}} \cdot \sqrt{48 x}$
40994	Determina o vértice	4x-y^2-2y-33=0	$4 x - y^{2} - 2 y - 33 = 0$
40995	Löse nach n auf	g(n)=-2n-4	$g (n) = - 2 n - 4$
40996	Determina o valor exato	\|6\|-\|-6\|-(-6)	$\| 6 \| - \| - 6 \| - (- 6)$
40997	Converte Radianos em Graus	-5pirad	$- 5 π$ radians
40998	Avalia	(25*360/60)	$(25 \cdot \frac{360}{60})$
40999	Löse nach x auf	\|x+3\|=2a+3	$\| x + 3 \| = 2 a + 3$
41000	Avalie o Limite	limite à medida que x aproxima 2 de -(x^2)/2-x+5/2	$lim_{x \to 2} - \frac{x^{2}}{2} - x + \frac{5}{2}$