Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
184601	Solve for x	x/(x+3)+5/(x-3)=7/(x-3)	$\frac{x}{x + 3} + \frac{5}{x - 3} = \frac{7}{x - 3}$
184602	Solve for b	4(3b+2)^2=64	$4 {(3 b + 2)}^{2} = 64$
184603	Evaluate	(x-2)+2	$(x - 2) + 2$
184604	Graph	x+y<=3 and x>=2	$x + y \leq 3$ and $x \geq 2$
184605	Evaluate	(-1/2)/((- square root of 3)/2)	$\frac{\frac{- 1}{2}}{\frac{- \sqrt{3}}{2}}$
184606	Simplify	-2(p+4)*2-3+5p	$- 2 (p + 4) \cdot 2 - 3 + 5 p$
184607	Factor	3x^4-14x^3-3x^2+54x-40	$3 x^{4} - 14 x^{3} - 3 x^{2} + 54 x - 40$
184608	Find All Complex Solutions	tan(theta)^2=3	$\tan^{2} (θ) = 3$
184609	Solve the Inequality for x	-x/5+6>-3	$- \frac{x}{5} + 6 > - 3$
184610	Find the Midpoint	(5,4) and (1,7)	$(5, 4)$ and $(1, 7)$
184611	Simplify	(a^2+3a-18)/(a^2-5a+6)*(5a-10)/(a^2-36)	$\frac{a^{2} + 3 a - 18}{a^{2} - 5 a + 6} \cdot \frac{5 a - 10}{a^{2} - 36}$
184612	Solve the Absolute Value Inequality for p	-3\|p\|=12	$- 3 \| p \| = 12$
184613	Simplify	(a+b)+(a-b)	$(a + b) + (a - b)$
184614	Simplify	((4x)/(2x-1))÷((3x+2)/(x+5))	$\frac{4 x}{2 x - 1} \div \frac{3 x + 2}{x + 5}$
184615	Find the Midpoint	(9,8) and (3,2)	$(9, 8)$ and $(3, 2)$
184616	Simplify	5/(-3+ square root of 5)	$\frac{5}{- 3 + \sqrt{5}}$
184617	Evaluate	((6-4)*49)÷7	$(6 - 4) \times 49 \div 7$
184618	Solve for k	k-(-5/6)=-1/6	$k - (- \frac{5}{6}) = - \frac{1}{6}$
184619	Find the Product	(y+1/3)(y-1/3)	$(y + \frac{1}{3}) (y - \frac{1}{3})$
184620	Solve for x	(x+7)^2=0	${(x + 7)}^{2} = 0$
184621	Solve the Inequality for x	(x+1)/(x+5)>0	$\frac{x + 1}{x + 5} > 0$
184622	Solve for x	(x+1)/(x+7)=(x-2)/x	$\frac{x + 1}{x + 7} = \frac{x - 2}{x}$
184623	Graph	g(x)=1/6 square root of x	$g (x) = \frac{1}{6} \sqrt{x}$
184624	Solve for r	8(2r-3)-r=3(3r+2)	$8 (2 r - 3) - r = 3 (3 r + 2)$
184625	Find the Function	f(x)=10^x	$f (x) = 10^{x}$
184626	Simplify	((12x^3y^2z)/(3x^-2y^6z^8))^-2	${(\frac{12 x^{3} y^{2} z}{3 x^{- 2} y^{6} z^{8}})}^{- 2}$
184627	Find the Distance Between Two Points	(1,2) and (-8,-2)	$(1, 2)$ and $(- 8, - 2)$
184628	Simplify	( square root of 28(x-1))÷( square root of 8x^2)	$\sqrt{28 (x - 1)} \div \sqrt{8 x^{2}}$
184629	Find the x and y Intercepts	(4x^2-16)/(5x^2+15x+10)	$\frac{4 x^{2} - 16}{5 x^{2} + 15 x + 10}$
184630	Solve for w	7/60=5/24w+11/12	$\frac{7}{60} = \frac{5}{24} w + \frac{11}{12}$
184631	Graph	y=-x+4 2x-y=8	$y = - x + 4$ $2 x - y = 8$
184632	Graph Using a Table of Values	f(x)=(x+3)/(x-2)	$f (x) = \frac{x + 3}{x - 2}$
184633	Simplify	-6ab^5(a^3b^4-2a^2b-5ab-10)	$- 6 a b^{5} (a^{3} b^{4} - 2 a^{2} b - 5 a b - 10)$
184634	Graph	f(x)=x+3 if -2<=x<1; 9 if x=1; -x+2 if x>1	$f (x) = {\begin{cases} x + 3 & - 2 \leq x < 1 \\ 9 & x = 1 \\ - x + 2 & x > 1 \end{cases}$
184635	Find the Focus	y^2=x	$y^{2} = x$
184636	Simplify	(1+7i)(9+3i)-(4+2i)	$(1 + 7 i) (9 + 3 i) - (4 + 2 i)$
184637	Simplify	(-1/8c+16)-(3/8+3c)	$(- \frac{1}{8} c + 16) - (\frac{3}{8} + 3 c)$
184638	Solve for m	n=4/5(m+7)	$n = \frac{4}{5} (m + 7)$
184639	Find the Holes in the Graph	(x^2-2x-8)/(x-4)	$\frac{x^{2} - 2 x - 8}{x - 4}$
184640	Find the Degree	arctan(3/4)	$\arctan (\frac{3}{4})$
184641	Solve the Inequality for x	(x+6)(1-x)(x-4)<0	$(x + 6) (1 - x) (x - 4) < 0$
184642	Combine Like Terms	-3x+14-11+11x	$- 3 x + 14 - 11 + 11 x$
184643	Simplify	((x-2)/3-1/x)/(1/x+1/(x^2))	$\frac{\frac{x - 2}{3} - \frac{1}{x}}{\frac{1}{x} + \frac{1}{x^{2}}}$
184644	Find f(g(x))	f(x)=5x-1 and g(x)=5x^2-1	$f (x) = 5 x - 1$ and $g (x) = 5 x^{2} - 1$
184645	Divide	(x^5)÷(x^2)	$x^{5} \div x^{2}$
184646	Factor	18x-11x^3+x^5	$18 x - 11 x^{3} + x^{5}$
184647	Solve for x	x/(a-x)=b	$\frac{x}{a - x} = b$
184648	Solve for x	x^2+36=12x	$x^{2} + 36 = 12 x$
184649	Write in Standard Form	x^2-3x-4=2x	$x^{2} - 3 x - 4 = 2 x$
184650	Solve the Inequality for x	3x-5/6>=(-2x)/3	$3 x - \frac{5}{6} \geq \frac{- 2 x}{3}$
184651	Find f(g(x))	f(x)=5x-1 and g(x)=4x^2-3	$f (x) = 5 x - 1$ and $g (x) = 4 x^{2} - 3$
184652	Evaluate	1/(3/4-1/3)	$\frac{1}{\frac{3}{4} - \frac{1}{3}}$
184653	Simplify	((x^2)/3-x)/(15/x+5)	$\frac{\frac{x^{2}}{3} - x}{\frac{15}{x} + 5}$
184654	Graph	3x^2+5y^2-6x-20y=-25	$3 x^{2} + 5 y^{2} - 6 x - 20 y = - 25$
184655	Solve for x	x-9+2wx=y for x	$x - 9 + 2 w x = y$ for $x$
184656	Solve for x	-(2x)/(x-2)+4/(x-3)=4/(x^2-5x+6)	$- \frac{2 x}{x - 2} + \frac{4}{x - 3} = \frac{4}{x^{2} - 5 x + 6}$
184657	Find g(f(x))	f(x)=x^2+x-1 g(x)=-3x+12	$f (x) = x^{2} + x - 1$ $g (x) = - 3 x + 12$
184658	Write in Standard Form	(-5x+4)-(3x^2-7x+4)	$(- 5 x + 4) - (3 x^{2} - 7 x + 4)$
184659	Solve the Inequality for S	3.25+5.50S<=30	$3.25 + 5.5 S \leq 30$
184660	Simplify	(x^2-10x+16)/(x-8)*(6x^4+66x^3+108x^2)/(6x^2-24)	$\frac{x^{2} - 10 x + 16}{x - 8} \cdot \frac{6 x^{4} + 66 x^{3} + 108 x^{2}}{6 x^{2} - 24}$
184661	Graph	-y=x	$- y = x$
184662	Find the Roots (Zeros)	y=x^2+4x	$y = x^{2} + 4 x$
184663	Simplify	(3^2*5)^3	${(3^{2} \cdot 5)}^{3}$
184664	Write in Standard Form	x^2+4	$x^{2} + 4$
184665	Solve the System of Equations	4x-y+3z=0 -2x+y+z=-8 3x-2y+4z=-4	$4 x - y + 3 z = 0$ $- 2 x + y + z = - 8$ $3 x - 2 y + 4 z = - 4$
184666	Simplify	a(1+2a)-a(4a-5)	$a (1 + 2 a) - a (4 a - 5)$
184667	Evaluate	3*3^6	$3 \times 3^{6}$
184668	Find the Domain and Range	1/( square root of x)	$\frac{1}{\sqrt{x}}$
184669	Divide Using Long Polynomial Division	(x^4-2x^3-11x^2+30x-20)÷(x^2+3x-2)	$(x^{4} - 2 x^{3} - 11 x^{2} + 30 x - 20) \div (x^{2} + 3 x - 2)$
184670	Solve for x	x-(bx)/c=a	$x - \frac{b x}{c} = a$
184671	Solve for a	1/3(6+3a)=3a	$\frac{1}{3} (6 + 3 a) = 3 a$
184672	Simplify	x square root of 6x-5 square root of 96x^3	$x \sqrt{6 x} - 5 \sqrt{96 x^{3}}$
184673	Multiply	(x+1/2)^2	${(x + \frac{1}{2})}^{2}$
184674	Combine Like Terms	4n+6+n-2	$4 n + 6 + n - 2$
184675	Evaluate	(5(-1)^2-(-4)^2+3)/(2(-1)-4*-4)	$\frac{5 {(- 1)}^{2} - {(- 4)}^{2} + 3}{2 (- 1) - 4 \cdot - 4}$
184676	Solve Using the Quadratic Formula	2x^2-13x+7=x^2	$2 x^{2} - 13 x + 7 = x^{2}$
184677	Simplify	1/3(27-21x)	$\frac{1}{3} (27 - 21 x)$
184678	Solve the System of Equations	y=x^2+x+5 y=x+1	$y = x^{2} + x + 5$ $y = x + 1$
184679	Evaluate	40% of 60	$40 %$ of $60$
184680	Simplify	sin(x)^2+cos(x)^2+1	$\sin^{2} (x) + \cos^{2} (x) + 1$
184681	Factor	P(x)=x^3+5x^2-x-5	$P (x) = x^{3} + 5 x^{2} - x - 5$
184682	Find the LCD	(3x)/(x^2-25) and 10/(3x-15)	$\frac{3 x}{x^{2} - 25}$ and $\frac{10}{3 x - 15}$
184683	Simplify	(5 square root of 56)/( square root of 21)	$\frac{5 \sqrt{56}}{\sqrt{21}}$
184684	Solve for x	4^x+2^(1+2x)=40	$4^{x} + 2^{1 + 2 x} = 40$
184685	Simplify	(6x^4-384x^2)/(x+3)*(x^2-9)/(6x^2+30x-144)	$\frac{6 x^{4} - 384 x^{2}}{x + 3} \cdot \frac{x^{2} - 9}{6 x^{2} + 30 x - 144}$
184686	Solve for p	1/p+1/q=1/f	$\frac{1}{p} + \frac{1}{q} = \frac{1}{f}$
184687	Multiply	3/4*5/6	$\frac{3}{4} \cdot \frac{5}{6}$
184688	Find the Product	(4x^5+11)^2	${(4 x^{5} + 11)}^{2}$
184689	Solve for x	(2x-7)(4x+3)=112	$(2 x - 7) (4 x + 3) = 112$
184690	Find f(g(x))	f(x)=x^2-9 , g(x)=3-x	$f (x) = x^{2} - 9$ , $g (x) = 3 - x$
184691	Simplify	-6(2/3p^8)^3	$- 6 {(\frac{2}{3} p^{8})}^{3}$
184692	Simplify	((x^2-5x-6)/(5x+15))÷((x^2-3x-4)/(7x+21))	$\frac{x^{2} - 5 x - 6}{5 x + 15} \div \frac{x^{2} - 3 x - 4}{7 x + 21}$
184693	Evaluate	3(-2a-4)+3a	$3 (- 2 a - 4) + 3 a$
184694	Find the Distance Between Two Points	(3,-4) and (9,4)	$(3, - 4)$ and $(9, 4)$
184695	Simplify	-4z(-4+5z)-2z(9+z)	$- 4 z (- 4 + 5 z) - 2 z (9 + z)$
184696	Solve the Inequality for x	(-3(x+3))/2<=6	$\frac{- 3 (x + 3)}{2} \leq 6$
184697	Find the Domain and Range	f^-1(x) = square root of x+5	$f^{- 1} (x) = \sqrt{x + 5}$
184698	Solve for x	5(x+2)+4=8x-1-3(x-5)	$5 (x + 2) + 4 = 8 x - 1 - 3 (x - 5)$
184699	Solve the Inequality for x	\|-2x+3\|<=7	$\| - 2 x + 3 \| \leq 7$
184700	Graph	-4x>=20	$- 4 x \geq 20$