Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
171501	Simplify	1/(5n)-3/4+7/(10n)	$\frac{1}{5 n} - \frac{3}{4} + \frac{7}{10 n}$
171502	Simplify	(z+z)+(z+6)	$(z + z) + (z + 6)$
171503	Find All Complex Solutions	74y-8-78y=-4y-8	$74 y - 8 - 78 y = - 4 y - 8$
171504	Evaluate	81/2+37-18	$8 \cdot \frac{1}{2} + 3 \cdot 7 - 18$
171505	Factor	2x^3-nx^2+2xz^2-nz^2-3ny^2+6xy^2	$2 x^{3} - n x^{2} + 2 x z^{2} - n z^{2} - 3 n y^{2} + 6 x y^{2}$
171506	Evaluate	1/2(1)^(-1/2)	$\frac{1}{2} {(1)}^{- \frac{1}{2}}$
171507	Find the Distance Between Two Points	(3,7) and (6,5)	$(3, 7)$ and $(6, 5)$
171508	Find the Exact Value	(a+b)^2	${(a + b)}^{2}$
171509	Graph	y=mx	$y = m x$
171510	Multiply	(8-3a^2)(2a^2+6)	$(8 - 3 a^{2}) (2 a^{2} + 6)$
171511	Solve Using the Square Root Property	(9z+1/2)^2+61=39	${(9 z + \frac{1}{2})}^{2} + 61 = 39$
171512	Solve for x	(3x+1)/2+(5x-3)/3=(27+6x)/5	$\frac{3 x + 1}{2} + \frac{5 x - 3}{3} = \frac{27 + 6 x}{5}$
171513	Solve for m	(3m-3)/5=(2m-1)/2	$\frac{3 m - 3}{5} = \frac{2 m - 1}{2}$
171514	Solve for x	12/(x^2-2x)-3/(x-2)=3/x	$\frac{12}{x^{2} - 2 x} - \frac{3}{x - 2} = \frac{3}{x}$
171515	Solve for x	a/b(1-a/x)+b/a(1-b/x)=1	$\frac{a}{b} (1 - \frac{a}{x}) + \frac{b}{a} (1 - \frac{b}{x}) = 1$
171516	Evaluate	6^2*(16+19)-10^3	$6^{2} \cdot (16 + 19) - 10^{3}$
171517	Graph Using a Table of Values	f(x)=x^2-2x-3	$f (x) = x^{2} - 2 x - 3$
171518	Evaluate	(4pi)/(2pi)	$\frac{4 π}{2 π}$
171519	Solve the System of Equations	4x+10y=-24 -2x+y=-24	$4 x + 10 y = - 24$ $- 2 x + y = - 24$
171520	Find the LCD	(6x)/(5x^2+12x+7) and 1/(5x^2+17x+14)	$\frac{6 x}{5 x^{2} + 12 x + 7}$ and $\frac{1}{5 x^{2} + 17 x + 14}$
171521	Solve for x	3/2+1/2x=2x	$\frac{3}{2} + \frac{1}{2} x = 2 x$
171522	Graph	y=5x and y=5x-1	$y = 5 x$ and $y = 5 x - 1$
171523	Describe the Transformation	g(x)=f(x+3)	$g (x) = f (x + 3)$
171524	Solve for x	xe^x=0	$x e^{x} = 0$
171525	Simplify	(5x^8-20x^4)/(5x^8+20x^6+20x^4)	$\frac{5 x^{8} - 20 x^{4}}{5 x^{8} + 20 x^{6} + 20 x^{4}}$
171526	Solve the Inequality for x	-19<=-2x-3<-9	$- 19 \leq - 2 x - 3 < - 9$
171527	Solve for x	-1/4x-4=7/4x-3	$- \frac{1}{4} x - 4 = \frac{7}{4} x - 3$
171528	Solve for w	4w^2+4w+1=121	$4 w^{2} + 4 w + 1 = 121$
171529	Find the x and y Intercepts	y=(3x)/4-7	$y = \frac{3 x}{4} - 7$
171530	Solve for m	8=(m-2)/5	$8 = \frac{m - 2}{5}$
171531	Simplify	simplify 3 log of x^2+1- log of x-5	simplify $3 \log (x^{2} + 1) - \log (x - 5)$
171532	Solve for x	11kx+13kx=6 for x	$11 k x + 13 k x = 6$ for $x$
171533	Find the Exact Value	1/2*2	$\frac{1}{2} \cdot 2$
171534	Solve for x	710=490(1.015)^(x+1)+180	$710 = 490 {(1.015)}^{x + 1} + 180$
171535	Solve for x	2/(x^2-4)-1/(x+2)=3/(x-2)	$\frac{2}{x^{2} - 4} - \frac{1}{x + 2} = \frac{3}{x - 2}$
171536	Solve for h	7h-5(3h-8)=-72	$7 h - 5 (3 h - 8) = - 72$
171537	Simplify	((2x^(1/2))^3)/(4x^2)	$\frac{{(2 x^{\frac{1}{2}})}^{3}}{4 x^{2}}$
171538	Simplify	square root of 9( square root of 3+ square root of 8)	$\sqrt{9} (\sqrt{3} + \sqrt{8})$
171539	Graph	-15<=-3c	$- 15 \leq - 3 c$
171540	Evaluate	cube root of x^15	$\sqrt[3]{x^{15}}$
171541	Solve for x	1/(6x^2)=1/(3x^2)-1/x	$\frac{1}{6 x^{2}} = \frac{1}{3 x^{2}} - \frac{1}{x}$
171542	Simplify	(d^2+6d+9)+(d^3+6d+9)	$(d^{2} + 6 d + 9) + (d^{3} + 6 d + 9)$
171543	Write Using Positive Exponents	(6^-6)/(6^-5)	$\frac{6^{- 6}}{6^{- 5}}$
171544	Solve for x	(x-2)/(x-4)=-2/(x-1)	$\frac{x - 2}{x - 4} = \frac{- 2}{x - 1}$
171545	Graph	f(x)=-(1/3)^(x+2)	$f (x) = - {(\frac{1}{3})}^{x + 2}$
171546	Solve the Inequality for x	x^2+2x+1<=0	$x^{2} + 2 x + 1 \leq 0$
171547	Solve Using the Quadratic Formula	3x+4	$3 x + 4$
171548	Graph	y=\|1/3x\|-2	$y = \| \frac{1}{3} x \| - 2$
171549	Simplify	(-10h^6)/((2h^-3)^5)	$\frac{- 10 h^{6}}{{(2 h^{- 3})}^{5}}$
171550	Solve the System of Inequalities	3x+2<-7 or -4x+5<1	$3 x + 2 < - 7$ or $- 4 x + 5 < 1$
171551	Find the x and y Intercepts	y=2(1/2)^x	$y = 2 {(\frac{1}{2})}^{x}$
171552	Find the Distance Between Two Points	(7,-1) and (-2,4)	$(7, - 1)$ and $(- 2, 4)$
171553	Solve for a	(a^2+1)/(a^2-1)-2/(a+1)=a/(a-1)	$\frac{a^{2} + 1}{a^{2} - 1} - \frac{2}{a + 1} = \frac{a}{a - 1}$
171554	Subtract	(m^2n^2-7)-(mn+4)	$(m^{2} n^{2} - 7) - (m n + 4)$
171555	Find the Axis of Symmetry	(x^2)/25+(y^2)/9=1	$\frac{x^{2}}{25} + \frac{y^{2}}{9} = 1$
171556	Solve for x	(x-a)/b=2-(x-b)/a	$\frac{x - a}{b} = 2 - \frac{x - b}{a}$
171557	Find the Holes in the Graph	f(x)=(3x^2-12x)/(5x-20)	$f (x) = \frac{3 x^{2} - 12 x}{5 x - 20}$
171558	Solve for h	4-(-h)=68	$4 - (- h) = 68$
171559	Graph	g(x)=6,-7<x<=-2; 2,-2<x<=3; -2,3<x<=8	$g (x) = {\begin{cases} 6, - 7 < x \leq - 2 \\ 2, - 2 < x \leq 3 \\ - 2, 3 < x \leq 8 \end{cases}$
171560	Solve for p	1/3p+1/2p+7=7/6p+5+4	$\frac{1}{3} p + \frac{1}{2} p + 7 = \frac{7}{6} p + 5 + 4$
171561	Solve for x	\|x-10\|+5=2x	$\| x - 10 \| + 5 = 2 x$
171562	Find the Roots (Zeros)	(2x^2-9x+7)(x-2)	$(2 x^{2} - 9 x + 7) (x - 2)$
171563	Graph	5(6+3r)+7>=127	$5 (6 + 3 r) + 7 \geq 127$
171564	Evaluate	4^(x+4)=5^(2x+5)	$4^{x + 4} = 5^{2 x + 5}$
171565	Find the Domain and Range	y^2=x-1	$y^{2} = x - 1$
171566	Solve for x	2^(-x)-2=4^x-1	$2^{- x} - 2 = 4^{x} - 1$
171567	Solve for x	3 1/8÷(x-4 7/28)=17/18+1 5/6	$3 \frac{1}{8} \div (x - 4 \frac{7}{28}) = \frac{17}{18} + 1 \frac{5}{6}$
171568	Solve Using the Quadratic Formula	4(x-2)^2=16	$4 {(x - 2)}^{2} = 16$
171569	Divide	(3x)÷3	$3 x \div 3$
171570	Graph	8y<=-4x	$8 y \leq - 4 x$
171571	Solve for N	1/2(N+4)=6	$\frac{1}{2} (N + 4) = 6$
171572	Simplify	-8/(2x+7)+-9/(2x+7)	$\frac{- 8}{2 x + 7} + \frac{- 9}{2 x + 7}$
171573	Solve for x	square root of 3csc(x)=2	$\sqrt{3} \csc (x) = 2$
171574	Solve the Inequality for x	1/2x-2/3>2	$\frac{1}{2} x - \frac{2}{3} > 2$
171575	Find the Exact Value	(-2/3)^3	${(- \frac{2}{3})}^{3}$
171576	Simplify	((x^2-2x)/(x^2-10x+25))÷((6x^2-12x)/(x^2-25))	$\frac{x^{2} - 2 x}{x^{2} - 10 x + 25} \div \frac{6 x^{2} - 12 x}{x^{2} - 25}$
171577	Solve for n	(13+4i)+n=0	$(13 + 4 i) + n = 0$
171578	Find the Sum and Product of the Roots of the Quadratic Equation	x^2-9=0	$x^{2} - 9 = 0$
171579	Solve Using the Quadratic Formula	h^2+h=-2/9	$h^{2} + h = - \frac{2}{9}$
171580	Solve the Absolute Value Inequality for x	\|-3x-7\|-12=9	$\| - 3 x - 7 \| - 12 = 9$
171581	Simplify	(20t^-6a^-3)/((4t^-3a^2)^-2)	$\frac{20 t^{- 6} a^{- 3}}{{(4 t^{- 3} a^{2})}^{- 2}}$
171582	Simplify	(4x^2-9x+3)+(-2x^2-5x-6)	$(4 x^{2} - 9 x + 3) + (- 2 x^{2} - 5 x - 6)$
171583	Graph	-2<=x<=2 and -4<=y<=10	$- 2 \leq x \leq 2$ and $- 4 \leq y \leq 10$
171584	Simplify the Radical Expression	3^(-1/2)x^(1/2)	$3^{- \frac{1}{2}} x^{\frac{1}{2}}$
171585	Simplify	4x^2y+2xy-6+5x^2y-8xy+13	$4 x^{2} y + 2 x y - 6 + 5 x^{2} y - 8 x y + 13$
171586	Evaluate	-pi/4+pi/2	$- \frac{π}{4} + \frac{π}{2}$
171587	Solve for x	5/x+3/4=7	$\frac{5}{x} + \frac{3}{4} = 7$
171588	Solve for x	2/3+1/2 2/5-1/x=1/3-1/2 2/3	$\frac{2}{3} + \frac{1}{2 \frac{2}{5}} - \frac{1}{x} = \frac{1}{3} - \frac{1}{2 \frac{2}{3}}$
171589	Solve for x	log base 2 of x = log base 5 of 3+1	$\log_{2} (x) = \log_{5} (3) + 1$
171590	Simplify	((2j^3p)^-1)/(10j^6)	$\frac{{(2 j^{3} p)}^{- 1}}{10 j^{6}}$
171591	Solve for x	sin(x)=-cos(x)^2-1	$\sin (x) = - \cos^{2} (x) - 1$
171592	Simplify	-3*(75÷((9-4)^2))^2	$- 3 \times {(75 \div {(9 - 4)}^{2})}^{2}$
171593	Graph	y>=-5x+3 y>-2	$y \geq - 5 x + 3$ $y > - 2$
171594	Solve Using the Square Root Property	1/3z^2-4=-11/3	$\frac{1}{3} z^{2} - 4 = - \frac{11}{3}$
171595	Factor	49yz^6-21x^3y^2z^3	$49 y z^{6} - 21 x^{3} y^{2} z^{3}$
171596	Evaluate	-8f(1)-4g(4)	$- 8 \cdot f (1) - 4 \cdot g (4)$
171597	Graph	y=4*3^(-x)-1	$y = 4 \cdot 3^{- x} - 1$
171598	Simplify	4b^2(b^3-8)	$4 b^{2} (b^{3} - 8)$
171599	Solve for v	4\|v-2\|-3=25	$4 \| v - 2 \| - 3 = 25$
171600	Simplify	(4r^3(r^4)^3)/(15(r^3)^-2)	$\frac{4 r^{3} {(r^{4})}^{3}}{15 {(r^{3})}^{- 2}}$