Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
232101	Rationalize the Denominator	(3r^3)/( square root of 20r)	$\frac{3 r^{3}}{\sqrt{20 r}}$
232102	Solve the System of Inequalities	3m+2<5 OR (m+1)/2>4	$3 m + 2 < 5$ OR $\frac{m + 1}{2} > 4$
232103	Simplify	((x^-2y^-3)/(2^0z^-1))^-2	${(\frac{x^{- 2} y^{- 3}}{2^{0} z^{- 1}})}^{- 2}$
232104	Graph	g(x)=1/3f(x)-2	$g (x) = \frac{1}{3} f (x) - 2$
232105	Divide Using Long Polynomial Division	(2x^3-2)÷(x-5)	$(2 x^{3} - 2) \div (x - 5)$
232106	Solve the Inequality for x	2x^2+5x<=2x+5	$2 x^{2} + 5 x \leq 2 x + 5$
232107	Convert to a Decimal	5 percent	$5$ percent
232108	Solve the System of Inequalities	y<-x-6 y>1/2x-3	$y < - x - 6$ $y > \frac{1}{2} x - 3$
232109	Solve the System of Inequalities	y>1/2x+1 y+3x<=6	$y > \frac{1}{2} x + 1$ $y + 3 x \leq 6$
232110	Find the Excluded Values	(6x(x+3)(x-2))/(3(x-2)(x+9))	$\frac{6 x (x + 3) (x - 2)}{3 (x - 2) (x + 9)}$
232111	Solve for x	x/( square root of x+11)-1=1/( square root of x+11)	$\frac{x}{\sqrt{x + 11}} - 1 = \frac{1}{\sqrt{x + 11}}$
232112	Convert to a Decimal	21 , 5%	$21$ , $5 %$
232113	Divide Using Long Polynomial Division	4x^3+8x^2+13x+5 divided by 2x+1	$4 x^{3} + 8 x^{2} + 13 x + 5$ divided by $2 x + 1$
232114	Describe the Transformation	f(x-3)+5	$f (x - 3) + 5$
232115	Solve the Absolute Value Inequality for r	\|2r+3\|=\|5r-17\|	$\| 2 r + 3 \| = \| 5 r - 17 \|$
232116	Solve the Rational Equation for y	square root of y=3 square root of 5	$\sqrt{y} = 3 \sqrt{5}$
232117	Solve for x	-9<-1/5x	$- 9 < - \frac{1}{5} x$
232118	Evaluate	3/2+2 1/4-7/8	$\frac{3}{2} + 2 \frac{1}{4} - \frac{7}{8}$
232119	Simplify	-(7i)^2	$- {(7 i)}^{2}$
232120	Solve for x	x/5+(x-1)/3=2	$\frac{x}{5} + \frac{x - 1}{3} = 2$
232121	Evaluate	2^( log base 2 of 6-3)	$2^{\log_{2} (6) - 3}$
232122	Evaluate	square root of 9-(-1)^2	$\sqrt{9 - {(- 1)}^{2}}$
232123	Graph	x+2y<=3 x+y>=4 3x-2y>=4	$x + 2 y \leq 3$ $x + y \geq 4$ $3 x - 2 y \geq 4$
232124	Write the Fraction in Simplest Form	((36y)/(y^2-2y+1))÷((12y^2)/(y^2-1))	$\frac{36 y}{y^{2} - 2 y + 1} \div \frac{12 y^{2}}{y^{2} - 1}$
232125	Simplify the Radical Expression	square root of 3(4+5 square root of 3)	$\sqrt{3} (4 + 5 \sqrt{3})$
232126	Simplify	(x+4)/(2x+10)-5/(x^2-25)	$\frac{x + 4}{2 x + 10} - \frac{5}{x^{2} - 25}$
232127	Graph	F(x)=(q(x))/(x^2+12x+36)	$F (x) = \frac{q (x)}{x^{2} + 12 x + 36}$
232128	Find the Parallel Line	through: (-4,0) ; parallel to y=3/4x-2	through: $(- 4, 0)$ ; parallel to $y = \frac{3}{4} x - 2$
232129	Evaluate	(4.9(4.1)^2-4.9(4)^2)/0.1	$\frac{4.9 {(4.1)}^{2} - 4.9 {(4)}^{2}}{0.1}$
232130	Simplify	Simplify fourth root of x^12	Simplify $\sqrt[4]{x^{12}}$
232131	Multiply	2 square root of 3-x*4 cube root of 3-x	$2 \sqrt{3 - x} \cdot 4 \sqrt[3]{3 - x}$
232132	Multiply	(x^2+6y)(x^2-6y)	$(x^{2} + 6 y) (x^{2} - 6 y)$
232133	Find the Roots (Zeros)	f(x)=((3x+4)(x+2))/((x-4)(x+2))	$f (x) = \frac{(3 x + 4) (x + 2)}{(x - 4) (x + 2)}$
232134	Graph	table[[x,y],[0,0],[1,1],[2,4],[3,9]]	$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & 1 \\ 2 & 4 \\ 3 & 9 \end{array}$
232135	Evaluate	((1/64)^(1/3))^-4	${({(\frac{1}{64})}^{\frac{1}{3}})}^{- 4}$
232136	Multiply	(a+b-c)(a-b+C)	$(a + b - c) (a - b + C)$
232137	Divide	((x^2-4)/(x-3))÷((x^2+7x-18)/(x+9))	$\frac{x^{2} - 4}{x - 3} \div \frac{x^{2} + 7 x - 18}{x + 9}$
232138	Solve the Inequality for y	-4(2y+3)<=20-4y	$- 4 (2 y + 3) \leq 20 - 4 y$
232139	Solve for θ	2-sin(2theta)=4sin(2theta)	$2 - \sin (2 θ) = 4 \sin (2 θ)$
232140	Simplify	1/4x-4/3+7/2x+5/6	$\frac{1}{4} x - \frac{4}{3} + \frac{7}{2} x + \frac{5}{6}$
232141	Solve for x	16^(2x-3)*4^(-2x)=2^4	$16^{2 x - 3} \cdot 4^{- 2 x} = 2^{4}$
232142	Simplify	(a^2bc^3)(3a^3bc^4)^2	$(a^{2} b c^{3}) {(3 a^{3} b c^{4})}^{2}$
232143	Graph	f(x)=-2x g(x)=-2x-3	$f (x) = - 2 x$ $g (x) = - 2 x - 3$
232144	Solve the Inequality for x	x^2*5^x-5^(2+x)<0	$x^{2} \cdot 5^{x} - 5^{2 + x} < 0$
232145	Simplify	4x+7+3y-(1+3y+2x)	$4 x + 7 + 3 y - (1 + 3 y + 2 x)$
232146	Solve for k	1/2(10k-16)+11=-2	$\frac{1}{2} (10 k - 16) + 11 = - 2$
232147	Solve for n	4n^2=81	$4 n^{2} = 81$
232148	Graph	x^2+(y-4 square root of x^2)^2=1	$x^{2} + {(y - 4 \sqrt{x^{2}})}^{2} = 1$
232149	Simplify	((3x+6y)^2)/(5x+10y)	$\frac{{(3 x + 6 y)}^{2}}{5 x + 10 y}$
232150	Evaluate	(3/2x^-7)(2x^-1)^5	$(\frac{3}{2} x^{- 7}) {(2 x^{- 1})}^{5}$
232151	Solve the Absolute Value Inequality for x	2-2\|7+2x\|=0	$2 - 2 \| 7 + 2 x \| = 0$
232152	Simplify	(6+yi)(5+i)-(6+yi)(5-4i)	$(6 + y i) (5 + i) - (6 + y i) (5 - 4 i)$
232153	Simplify	(1/(25^-1))^2	${(\frac{1}{25^{- 1}})}^{2}$
232154	Simplify	4s+1/6s+2 3/5s	$4 s + \frac{1}{6} s + 2 \frac{3}{5} s$
232155	Evaluate	e-1/2	$e - \frac{1}{2}$
232156	Evaluate	f(-2)+f(3)	$f (- 2) + f (3)$
232157	Solve for b	b = square root of 182.8* square root of 182.8	$b = \sqrt{182.8} \cdot \sqrt{182.8}$
232158	Simplify the Radical Expression	(xy^-6)^2	${(x y^{- 6})}^{2}$
232159	Simplify	(x^2+7x+12)/(x^2-4)*(x+2)/(x^2-16)	$\frac{x^{2} + 7 x + 12}{x^{2} - 4} \cdot \frac{x + 2}{x^{2} - 16}$
232160	Find the Exact Value	(2(3+5)+6)4	$(2 \cdot (3 + 5) + 6) \cdot 4$
232161	Simplify	z^12*6^6	$z^{12} \cdot 6^{6}$
232162	Simplify	square root of 64+(3^2+(9-4(6-1))+5)	$\sqrt{64} + (3^{2} + (9 - 4 (6 - 1)) + 5)$
232163	Simplify	(2+- square root of 36)/6	$\frac{2 + - \sqrt{36}}{6}$
232164	Evaluate	(2x^2y)/(6xy^-1)	$\frac{2 x^{2} y}{6 x y^{- 1}}$
232165	Solve for V	V=10.35 square root of 32	$V = 10.35 \sqrt{32}$
232166	Simplify the Radical Expression	fourth root of 12* fourth root of 8	$\sqrt[4]{12} \cdot \sqrt[4]{8}$
232167	Convert to a Decimal	-160deg	$- 160$ degrees
232168	Simplify	(x^-3y^5z^-4)*(x^6y^-7z^-2)	$(x^{- 3} y^{5} z^{- 4}) \cdot (x^{6} y^{- 7} z^{- 2})$
232169	Multiply	(t^2-2t-3)/(t+1)*(3t-3)/(t^2+2t-3)	$\frac{t^{2} - 2 t - 3}{t + 1} \cdot \frac{3 t - 3}{t^{2} + 2 t - 3}$
232170	Find the Domain and Range	f(x)=sin(arcsin(x))	$f (x) = \sin (\arcsin (x))$
232171	Find the Quotient	(3x^3+9x^2-6x)/(-3x)	$\frac{3 x^{3} + 9 x^{2} - 6 x}{- 3 x}$
232172	Find the Points of Intersection	y=3x+8 and y=3x-2	$y = 3 x + 8$ and $y = 3 x - 2$
232173	Solve by Substitution	y=x-1 2x-y=0	$y = x - 1$ $2 x - y = 0$
232174	Simplify	natural log of 6/(e^2)	$\ln (\frac{6}{e^{2}})$
232175	Find the Equation Using Point-Slope Formula	(0,-2) and (4,5)	$(0, - 2)$ and $(4, 5)$
232176	Find the Exact Value	(2^-2+5^-1)/(4^-1-5^-1)	$\frac{2^{- 2} + 5^{- 1}}{4^{- 1} - 5^{- 1}}$
232177	Divide	((x^3)/(x^2))÷((x^2-7x-8)/(x^2-1))	$\frac{x^{3}}{x^{2}} \div \frac{x^{2} - 7 x - 8}{x^{2} - 1}$
232178	Expand the Logarithmic Expression	log base 8 of (4x+2)^3(x-4)	$\log_{8} ({(4 x + 2)}^{3} (x - 4))$
232179	Divide	(-25/32)÷(5/6)	$- \frac{25}{32} \div \frac{5}{6}$
232180	Simplify	(2a^2b^3c^4)^3(-3ab)^2(-b^3c)^3	${(2 a^{2} b^{3} c^{4})}^{3} {(- 3 a b)}^{2} {(- b^{3} c)}^{3}$
232181	Graph	V=4/3pir^3	$V = \frac{4}{3} π r^{3}$
232182	Write the Fraction in Simplest Form	(-3/4)^3	${(- \frac{3}{4})}^{3}$
232183	Find the Roots (Zeros)	2x^4-9x^2+4	$2 x^{4} - 9 x^{2} + 4$
232184	Solve for x	0.25x+1 = square root of -x+4	$0.25 x + 1 = \sqrt{- x} + 4$
232185	Evaluate	3x^2+2=11-x^2	$3 x^{2} + 2 = 11 - x^{2}$
232186	Solve for a	2^(a+1)+2^a=3^(b+2)-3^b	$2^{a + 1} + 2^{a} = 3^{b + 2} - 3^{b}$
232187	Simplify	10 square root of x+5 square root of x-2 square root of x	$10 \sqrt{x} + 5 \sqrt{x} - 2 \sqrt{x}$
232188	Simplify the Radical Expression	6x square root of 28x^5-x^2 square root of 7x^3	$6 x \sqrt{28 x^{5}} - x^{2} \sqrt{7 x^{3}}$
232189	Find the Domain and Range	y=-sin(x)^2	$y = - \sin^{2} (x)$
232190	Solve the System of Inequalities	0.5x+2>-2.5 0.4x-8<-2	$0.5 x + 2 > - 2.5$ $0.4 x - 8 < - 2$
232191	Find the x and y Intercepts	(2x+3)	$(2 x + 3)$
232192	Graph	1/2tan(x)	$\frac{1}{2} \tan (x)$
232193	Find the Function Rule	table[[x,y],[1,1],[2,4],[3,9],[4,16]]	$\begin{array}{c} x & y \\ 1 & 1 \\ 2 & 4 \\ 3 & 9 \\ 4 & 16 \end{array}$
232194	Simplify	((2x^2)^3)/((4x)^2)	$\frac{{(2 x^{2})}^{3}}{{(4 x)}^{2}}$
232195	Solve the Inequality for x	(x^2+10x+16)/(x-3)>0	$\frac{x^{2} + 10 x + 16}{x - 3} > 0$
232196	Graph	f(x)=-1/4 square root of 8-4x+1	$f (x) = - \frac{1}{4} \sqrt{8 - 4 x} + 1$
232197	Solve the Inequality for x	-12 square root of 2x-3>-36	$- 12 \sqrt{2 x - 3} > - 36$
232198	Simplify	(4y^5)/(4x^-2y^0)	$\frac{4 y^{5}}{4 x^{- 2} y^{0}}$
232199	Evaluate	g(2y)=2y^3	$g (2 y) = 2 y^{3}$
232200	Solve for v	7v+9-10v=-18	$7 v + 9 - 10 v = - 18$