Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
199001	Simplify	-sin(theta)^2(csc(theta)^2-1)	$- \sin^{2} (θ) (\csc^{2} (θ) - 1)$
199002	Simplify	8+2/3k-4/15k-1/4	$8 + \frac{2}{3} k - \frac{4}{15} k - \frac{1}{4}$
199003	Evaluate	(2pi)÷(1/4)	$2 π \div \frac{1}{4}$
199004	Find the Holes in the Graph	(-3x^2-21x-36)/(2x^2+6x)	$\frac{- 3 x^{2} - 21 x - 36}{2 x^{2} + 6 x}$
199005	Find f(g(x))	f(x)=2x-1 g(x)=(x+1)/2	$f (x) = 2 x - 1$ $g (x) = \frac{x + 1}{2}$
199006	Simplify	-2-17a+5a-18	$- 2 - 17 a + 5 a - 18$
199007	Solve for x	6+ax=-29	$6 + a x = - 29$
199008	Find the Product	4/(6-2a)*(3-a)/2	$\frac{4}{6 - 2 a} \cdot \frac{3 - a}{2}$
199009	Convert to Interval Notation	{x\|-5<=x}	${x \| - 5 \leq x}$
199010	Simplify	(5^( square root of 3+2))/(5^( square root of 3-2))	$\frac{5^{\sqrt{3} + 2}}{5^{\sqrt{3} - 2}}$
199011	Solve the Inequality for x	x/(x^2+2x-2)<=0	$\frac{x}{x^{2} + 2 x - 2} \leq 0$
199012	Solve for x	log of x+ log of x = log of 25	$\log (x) + \log (x) = \log (25)$
199013	Find the Holes in the Graph	(x^2+4x)/(-x-4)	$\frac{x^{2} + 4 x}{- x - 4}$
199014	Simplify	(16/2)^2	${(\frac{16}{2})}^{2}$
199015	Find the First Term	a_n=(1/2)^n	$a_{n} = {(\frac{1}{2})}^{n}$
199016	Graph Using a Table of Values	f(x)=2(5)^x	$f (x) = 2 {(5)}^{x}$
199017	Solve for q	q/8=4/5	$\frac{q}{8} = \frac{4}{5}$
199018	Evaluate	1/2(-5)^2-5	$\frac{1}{2} {(- 5)}^{2} - 5$
199019	Write in Exponential Form	(5^3)(5^4)	$(5^{3}) (5^{4})$
199020	Evaluate	2(n+2)=4n+1-2n	$2 (n + 2) = 4 n + 1 - 2 n$
199021	Solve by Graphing	theta=(3pi)/4	$θ = \frac{3 π}{4}$
199022	Factor	x^2=3x+10	$x^{2} = 3 x + 10$
199023	Solve for x	log base 12 of x+3 = log base 12 of x+ log base 12 of 4	$\log_{12} (x + 3) = \log_{12} (x) + \log_{12} (4)$
199024	Divide Using Long Polynomial Division	(-10x^2+4x^3+3)÷(x^2-2x+1)	$(- 10 x^{2} + 4 x^{3} + 3) \div (x^{2} - 2 x + 1)$
199025	Find f(g(x))	f(x)=-2x g(x)=-2x	$f (x) = - 2 x$ $g (x) = - 2 x$
199026	Solve the System of Equations	1/2x+7y=12 3/4x-3/2y=6	$\frac{1}{2} x + 7 y = 12$ $\frac{3}{4} x - \frac{3}{2} y = 6$
199027	Solve for w	w+3=w+6	$w + 3 = w + 6$
199028	Solve for x	2* log of x-3 = log of 25	$2 \cdot \log (x - 3) = \log (25)$
199029	Find the Exact Value	(27/8)^(-2/3)	${(\frac{27}{8})}^{- \frac{2}{3}}$
199030	Solve the Inequality for x	1/(3x-7)>=4/(3-2x)	$\frac{1}{3 x - 7} \geq \frac{4}{3 - 2 x}$
199031	Find the Roots (Zeros)	f(x)=-(x+2)^2(x-1)	$f (x) = - {(x + 2)}^{2} (x - 1)$
199032	Find the Excluded Values	(n^2+6n+5)/(n+1)	$\frac{n^{2} + 6 n + 5}{n + 1}$
199033	Graph Using a Table of Values	y=4*3^x	$y = 4 \cdot 3^{x}$
199034	Graph	y=-x if x<-1; 1 if -1<=x<=1; x if x>1	$y = {\begin{cases} - x & x < - 1 \\ 1 & - 1 \leq x \leq 1 \\ x & x > 1 \end{cases}$
199035	Find f(f(x))	f(x)=x^2-2x+3 , f(x)=-2x+19	$f (x) = x^{2} - 2 x + 3$ , $f (x) = - 2 x + 19$
199036	Find the Product	(2x-1)(x+5)	$(2 x - 1) (x + 5)$
199037	Simplify	(x^3y^4)/(3y^4)	$\frac{x^{3} y^{4}}{3 y^{4}}$
199038	Evaluate	3x=15	$3 x = 15$
199039	Solve by Factoring	(3y+9)^2=81	${(3 y + 9)}^{2} = 81$
199040	Evaluate	30% of 70	$30 %$ of $70$
199041	Multiply	(2x+3y)(-x+2x^2+3y^2)	$(2 x + 3 y) (- x + 2 x^{2} + 3 y^{2})$
199042	Multiply	(x^2)/y*(y^2)/(2x)	$\frac{x^{2}}{y} \cdot \frac{y^{2}}{2 x}$
199043	Graph	cos(theta)<0 , cot(theta)<0	$\cos (θ) < 0$ , $\cot (θ) < 0$
199044	Solve for x	(x+4)(x+1)=x-(x-2)(2-x)	$(x + 4) (x + 1) = x - (x - 2) (2 - x)$
199045	Evaluate	(36-3*4)/(15-9÷3)	$\frac{36 - 3 \cdot 4}{15 - 9 \div 3}$
199046	Solve the Inequality for x	2x^2-5x-3>=0	$2 x^{2} - 5 x - 3 \geq 0$
199047	Solve for x	\|1/3x+3\|=6	$\| \frac{1}{3} x + 3 \| = 6$
199048	Solve for x	3x=1/4x^2+5	$3 x = \frac{1}{4} x^{2} + 5$
199049	Divide	(x^6+5x^4+3x^2-2x)÷(x^2-x+3)	$(x^{6} + 5 x^{4} + 3 x^{2} - 2 x) \div (x^{2} - x + 3)$
199050	Find the x and y Intercepts	P(x)=(x-2)^2(x-7)	$P (x) = {(x - 2)}^{2} (x - 7)$
199051	Graph	(-9,-5)	$(- 9, - 5)$
199052	Solve for x	x/(x+c)=p/q	$\frac{x}{x + c} = \frac{p}{q}$
199053	Simplify	x-x+3+x	$x - x + 3 + x$
199054	Multiply	(-2ab^2)(-7a^2bc^3)(-4a^2c^3)	$(- 2 a b^{2}) (- 7 a^{2} b c^{3}) (- 4 a^{2} c^{3})$
199055	Simplify	x/(2/2)	$\frac{x}{\frac{2}{2}}$
199056	Factor	3(x-y)^2-2(x-y)	$3 {(x - y)}^{2} - 2 (x - y)$
199057	Find g(f(x))	f(x)=3x^2+5x+15 g(x)=-3x+13	$f (x) = 3 x^{2} + 5 x + 15$ $g (x) = - 3 x + 13$
199058	Find the x and y Intercepts	f(x)=(2x^2+5x-12)/(2x+8)	$f (x) = \frac{2 x^{2} + 5 x - 12}{2 x + 8}$
199059	Write as a Single Logarithm	1/2* natural log of 256-3* natural log of 2	$\frac{1}{2} \cdot \ln (256) - 3 \cdot \ln (2)$
199060	Solve the System of Equations	x^3+8x^2+19x+12=0 , x=-4	$x^{3} + 8 x^{2} + 19 x + 12 = 0$ , $x = - 4$
199061	Solve for x	(3(x+7))/2=19	$\frac{3 (x + 7)}{2} = 19$
199062	Graph	(3,1) and m=2	$(3, 1)$ and $m = 2$
199063	Graph	y=(2x+1)/x	$y = \frac{2 x + 1}{x}$
199064	Solve for X	X^2=81	$X^{2} = 81$
199065	Write in Exponential Form	cube root of 4+ fifth root of 2	$\sqrt[3]{4} + \sqrt[5]{2}$
199066	Simplify	(6- square root of 2)/(4-3 square root of 2)	$\frac{6 - \sqrt{2}}{4 - 3 \sqrt{2}}$
199067	Solve for X	X^2-8X=0	$X^{2} - 8 X = 0$
199068	Divide	(5x^4y^2+20xy^6-10x)÷5xy^2	$(5 x^{4} y^{2} + 20 x y^{6} - 10 x) \div 5 x y^{2}$
199069	Simplify	5^-1(3^-2)	$5^{- 1} (3^{- 2})$
199070	Multiply	-3ab(5a-8b)	$- 3 a b (5 a - 8 b)$
199071	Solve for x	1/2(4x-10)+5=x-11	$\frac{1}{2} (4 x - 10) + 5 = x - 11$
199072	Solve for x	\|4x-4(x+1)\|=4	$\| 4 x - 4 (x + 1) \| = 4$
199073	Find the Product	square root of 5* cube root of 5	$\sqrt{5} \cdot \sqrt[3]{5}$
199074	Simplify	(9 square root of 2)/( square root of 10+ square root of 18)	$\frac{9 \sqrt{2}}{\sqrt{10} + \sqrt{18}}$
199075	Evaluate	((4/3)(2/5))÷(3/2)	$((\frac{4}{3}) (\frac{2}{5})) \div \frac{3}{2}$
199076	Graph	y=x^3+x^2-2x-1	$y = x^{3} + x^{2} - 2 x - 1$
199077	Simplify	(-3)^(1/3)(-3)^(1/3)(-3)^(1/3)	${(- 3)}^{\frac{1}{3}} {(- 3)}^{\frac{1}{3}} {(- 3)}^{\frac{1}{3}}$
199078	Factor	(a+3)^2-a(a+3)	${(a + 3)}^{2} - a (a + 3)$
199079	Simplify	(2 square root of 8+3 square root of 5)(6 square root of 8+7 square root of 5)	$(2 \sqrt{8} + 3 \sqrt{5}) (6 \sqrt{8} + 7 \sqrt{5})$
199080	Solve for x	(3x)/2-223=x+88	$\frac{3 x}{2} - 223 = x + 88$
199081	Simplify	-2x square root of 3xy^3z^7	$- 2 x \sqrt{3 x y^{3} z^{7}}$
199082	Solve for B	a=1/2(b+B)h	$a = \frac{1}{2} (b + B) h$
199083	Solve for x	(2(x+9))/3=(3(x+8))/5+88	$\frac{2 (x + 9)}{3} = \frac{3 (x + 8)}{5} + 88$
199084	Solve for x	2(-3(x-1)+5)-2(3x-5)=2(1-2x)	$2 (- 3 (x - 1) + 5) - 2 (3 x - 5) = 2 (1 - 2 x)$
199085	Rationalize the Denominator	5/(-4+ square root of 5)	$\frac{5}{- 4 + \sqrt{5}}$
199086	Solve for x	2x-528=x/4+x+270	$2 x - 528 = \frac{x}{4} + x + 270$
199087	Evaluate	(4((2-5)^3-4(1/2-5/3)^2)+3(2/6))- square root of 4	$(4 ({(2 - 5)}^{3} - 4 {(\frac{1}{2} - \frac{5}{3})}^{2}) + 3 (\frac{2}{6})) - \sqrt{4}$
199088	Solve for a	4a^3-a^2=2a^2	$4 a^{3} - a^{2} = 2 a^{2}$
199089	Solve for x	(x+51)/2=x-71	$\frac{x + 51}{2} = x - 71$
199090	Solve for x	log base x of x+6=2	$\log_{x} (x + 6) = 2$
199091	Solve for y	x-1=2y	$x - 1 = 2 y$
199092	Solve for x	3x-4(2+x)=18	$3 x - 4 (2 + x) = 18$
199093	Graph	table[[x,y]]	$\begin{array}{c} x & y \end{array}$
199094	Simplify	(2t^-3)^3(0.4r)^2	${(2 t^{- 3})}^{3} {(0.4 r)}^{2}$
199095	Evaluate	((2+(-5+4)-(-8))-2)	$((2 + (- 5 + 4) - (- 8)) - 2)$
199096	Solve for x	(1-5.1x)-(1.7x+5.4)=1	$(1 - 5.1 x) - (1.7 x + 5.4) = 1$
199097	Factor	1-bx-x+b	$1 - b x - x + b$
199098	Solve for x	8+2x-1=x-2-5x	$8 + 2 x - 1 = x - 2 - 5 x$
199099	Solve for x	3 square root of x=5	$3 \sqrt{x} = 5$
199100	Solve for x	(2x-30)/5+(3x-55)/4=(22x-70)/20	$\frac{2 x - 30}{5} + \frac{3 x - 55}{4} = \frac{22 x - 70}{20}$