Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
232201	Evaluate	3x^2+2=11-x^2	$3 x^{2} + 2 = 11 - x^{2}$
232202	Solve for a	2^(a+1)+2^a=3^(b+2)-3^b	$2^{a + 1} + 2^{a} = 3^{b + 2} - 3^{b}$
232203	Simplify	10 square root of x+5 square root of x-2 square root of x	$10 \sqrt{x} + 5 \sqrt{x} - 2 \sqrt{x}$
232204	Simplify the Radical Expression	6x square root of 28x^5-x^2 square root of 7x^3	$6 x \sqrt{28 x^{5}} - x^{2} \sqrt{7 x^{3}}$
232205	Find the Domain and Range	y=-sin(x)^2	$y = - \sin^{2} (x)$
232206	Solve the System of Inequalities	0.5x+2>-2.5 0.4x-8<-2	$0.5 x + 2 > - 2.5$ $0.4 x - 8 < - 2$
232207	Find the x and y Intercepts	(2x+3)	$(2 x + 3)$
232208	Graph	1/2tan(x)	$\frac{1}{2} \tan (x)$
232209	Find the Function Rule	table[[x,y],[1,1],[2,4],[3,9],[4,16]]	$\begin{array}{c} x & y \\ 1 & 1 \\ 2 & 4 \\ 3 & 9 \\ 4 & 16 \end{array}$
232210	Simplify	((2x^2)^3)/((4x)^2)	$\frac{{(2 x^{2})}^{3}}{{(4 x)}^{2}}$
232211	Solve the Inequality for x	(x^2+10x+16)/(x-3)>0	$\frac{x^{2} + 10 x + 16}{x - 3} > 0$
232212	Graph	f(x)=-1/4 square root of 8-4x+1	$f (x) = - \frac{1}{4} \sqrt{8 - 4 x} + 1$
232213	Solve the Inequality for x	-12 square root of 2x-3>-36	$- 12 \sqrt{2 x - 3} > - 36$
232214	Simplify	(4y^5)/(4x^-2y^0)	$\frac{4 y^{5}}{4 x^{- 2} y^{0}}$
232215	Evaluate	g(2y)=2y^3	$g (2 y) = 2 y^{3}$
232216	Solve for v	7v+9-10v=-18	$7 v + 9 - 10 v = - 18$
232217	Solve for x	(x-1)^(1/3)-4=-4	${(x - 1)}^{\frac{1}{3}} - 4 = - 4$
232218	Graph	5>=5x-5 or 5x-5>=20	$5 \geq 5 x - 5$ or $5 x - 5 \geq 20$
232219	Simplify	3/8b-3/4b	$\frac{3}{8} b - \frac{3}{4} b$
232220	Simplify	2/(m^2p)+5/p	$\frac{2}{m^{2} p} + \frac{5}{p}$
232221	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,1) and has a slope of 4/3 ?	What is the equation of the line that passes through the point $(- 3, 1)$ and has a slope of $\frac{4}{3}$ ?
232222	Simplify	(-1/8)^(-2/3)	${(- \frac{1}{8})}^{- \frac{2}{3}}$
232223	Simplify the Radical Expression	-3x^3 square root of 5+6 square root of 125x^6	$- 3 x^{3} \sqrt{5} + 6 \sqrt{125 x^{6}}$
232224	Solve for x	-2/15+x=-3/5	$- \frac{2}{15} + x = - \frac{3}{5}$
232225	Solve for y	(4y+7)^2=4(4y+7)+6	${(4 y + 7)}^{2} = 4 (4 y + 7) + 6$
232226	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,1) and has a slope of 1/6 ?	What is the equation of the line that passes through the point $(- 6, 1)$ and has a slope of $\frac{1}{6}$ ?
232227	Simplify	(3+7v^2)(3-7v^2)	$(3 + 7 v^{2}) (3 - 7 v^{2})$
232228	Solve the Rational Equation for x	3 = square root of x/5	$3 = \sqrt{\frac{x}{5}}$
232229	Find the Parallel Line	-3x-y=-4 , P=(1,4)	$- 3 x - y = - 4$ , $P = (1, 4)$
232230	Solve for x	3\|x-1\|+x=-4x	$3 \| x - 1 \| + x = - 4 x$
232231	Find the x and y Intercepts	(x^2)/9+((y-3)^2)/25=1	$\frac{x^{2}}{9} + \frac{{(y - 3)}^{2}}{25} = 1$
232232	Solve the Inequality for x	x-4>=4x-14	$x - 4 \geq 4 x - 14$
232233	Solve for x	3/(x^2-4)=2/(x+2)+x/(x-2)	$\frac{3}{x^{2} - 4} = \frac{2}{x + 2} + \frac{x}{x - 2}$
232234	Simplify	( cube root of x^4)/( eighth root of x^4)	$\frac{\sqrt[3]{x^{4}}}{\sqrt[8]{x^{4}}}$
232235	Simplify	( cube root of 20t^3)( cube root of 81t^7)	$(\sqrt[3]{20 t^{3}}) (\sqrt[3]{81 t^{7}})$
232236	Solve for p	4p-10=p+3p-2p	$4 p - 10 = p + 3 p - 2 p$
232237	Simplify	((-3^2b^-2)/(a^8c^-4))^-1	${(\frac{- 3^{2} b^{- 2}}{a^{8} c^{- 4}})}^{- 1}$
232238	Evaluate	log base 8/27 of 9/4	$\log_{\frac{8}{27}} (\frac{9}{4})$
232239	Simplify	1/(y-2)+2/(y+1)-(y+2)/(y^2-y-2)	$\frac{1}{y - 2} + \frac{2}{y + 1} - \frac{y + 2}{y^{2} - y - 2}$
232240	Subtract	(5x^2+8x)+(x^2-5x+1)	$(5 x^{2} + 8 x) + (x^{2} - 5 x + 1)$
232241	Graph	x^2=x+2	$x^{2} = x + 2$
232242	Simplify	(3(a^6b^-4c)^0)/(-6(a^4b^3c^4)^0)	$\frac{3 {(a^{6} b^{- 4} c)}^{0}}{- 6 {(a^{4} b^{3} c^{4})}^{0}}$
232243	Rationalize the Denominator	(3 square root of 11+ square root of 5)/( square root of 11- square root of 5)	$\frac{3 \sqrt{11} + \sqrt{5}}{\sqrt{11} - \sqrt{5}}$
232244	Solve for u	4u^2=28u	$4 u^{2} = 28 u$
232245	Simplify	2b+7b^2-2+3b-1+b	$2 b + 7 b^{2} - 2 + 3 b - 1 + b$
232246	Solve for x	5 square root of x+2=15 square root of x	$5 \sqrt{x + 2} = 15 \sqrt{x}$
232247	Graph	5-4(2x-7)<-39	$5 - 4 (2 x - 7) < - 39$
232248	Simplify	(x/25+x/5)/(5/x)	$\frac{\frac{x}{25} + \frac{x}{5}}{\frac{5}{x}}$
232249	Simplify	cube root of (1000a^6)/(b^3)	$\sqrt[3]{\frac{1000 a^{6}}{b^{3}}}$
232250	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,2) and has a slope of -2 ?	What is the equation of the line that passes through the point $(- 4, 2)$ and has a slope of $- 2$ ?
232251	Simplify	(9x^3-6x^2)+(-5x^3+8)	$(9 x^{3} - 6 x^{2}) + (- 5 x^{3} + 8)$
232252	Subtract	9/x-3/(8x)	$\frac{9}{x} - \frac{3}{8 x}$
232253	Simplify	(x^m-1)(x^(2m)+x^m+1)	$(x^{m} - 1) (x^{2 m} + x^{m} + 1)$
232254	Describe the Transformation	f(x)=4 cube root of x-1	$f (x) = 4 \sqrt[3]{x} - 1$
232255	Evaluate	log of x+3+ log of x=1	$\log (x + 3) + \log (x) = 1$
232256	Solve for x	f(x)=-4x-10 and f(x)=10	$f (x) = - 4 x - 10$ and $f (x) = 10$
232257	Find the Slope and y-intercept	y-3=1/2(x-6)	$y - 3 = \frac{1}{2} (x - 6)$
232258	Solve the Rational Equation for a	square root of 648 = square root of 2^a*3^b	$\sqrt{648} = \sqrt{2^{a} \cdot 3^{b}}$
232259	Divide	(12x^6y^2)/(18xy^2)	$\frac{12 x^{6} y^{2}}{18 x y^{2}}$
232260	Evaluate	(e^-0.1-1)/-0.1	$\frac{e^{- 0.1} - 1}{- 0.1}$
232261	Find the Degree, Leading Term, and Leading Coefficient	y^5-10x^2y^4	$y^{5} - 10 x^{2} y^{4}$
232262	Solve the Inequality for x	cube root of x+4> cube root of -x	$\sqrt[3]{x + 4} > \sqrt[3]{- x}$
232263	Simplify	(16x^2-56x+60x^2)/(-14+19x)	$\frac{16 x^{2} - 56 x + 60 x^{2}}{- 14 + 19 x}$
232264	Find the Equation Using Point-Slope Formula	Passing through (-12,0) and (0,12)	Passing through $(- 12, 0)$ and $(0, 12)$
232265	Simplify the Radical Expression	cube root of (24x^3)/(36x)	$\sqrt[3]{\frac{24 x^{3}}{36 x}}$
232266	Simplify the Radical Expression	a fourth root of 6ab^4	$a \sqrt[4]{6 a b^{4}}$
232267	Find the Domain and Range	f(x) = cube root of x^2+x	$f (x) = \sqrt[3]{x^{2} + x}$
232268	Convert to Interval Notation	x<9 and x>=-6	$x < 9$ and $x \geq - 6$
232269	Find the Degree	-4s^3t^3+8s^5 square root of 7	$- 4 s^{3} t^{3} + 8 s^{5} \sqrt{7}$
232270	Evaluate	f^-1((3+x)/(x-2))=x+1	$f^{- 1} (\frac{3 + x}{x - 2}) = x + 1$
232271	Solve for b	s=(ab^2)/3	$s = \frac{a b^{2}}{3}$
232272	Graph	-2x-y=1 -6x=3y+3	$- 2 x - y = 1$ $- 6 x = 3 y + 3$
232273	Solve for x	2 log base 4 of 64=3 log base 4 of x	$2 \log_{4} (64) = 3 \log_{4} (x)$
232274	Find the Remainder	x^5-1 is divided by x-1	$x^{5} - 1$ is divided by $x - 1$
232275	Simplify the Radical Expression	cube root of fourth root of 16	$\sqrt[3]{\sqrt[4]{16}}$
232276	Find the GCF	5x^2+30xy	$5 x^{2} + 30 x y$
232277	Solve for y	ny+nx=0	$n y + n x = 0$
232278	Solve for x	y=3x^(1/3)	$y = 3 x^{\frac{1}{3}}$
232279	Graph	y>=2+x	$y \geq 2 + x$
232280	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^4+12x^3+18x^2+19x+9 is divided by x+1	Use synthetic division to find the result when $4 x^{4} + 12 x^{3} + 18 x^{2} + 19 x + 9$ is divided by $x + 1$
232281	Simplify	limit as x approaches 9 of (x-9)/( square root of x-3)	$lim_{x \to 9} \frac{x - 9}{\sqrt{x} - 3}$
232282	Simplify	3^x*3^(-x)	$3^{x} \cdot 3^{- x}$
232283	Solve the Inequality for x	7^(3x)<49^(1-x)	$7^{3 x} < 49^{1 - x}$
232284	Find the Exact Value	1/4*2	$\frac{1}{4} \cdot 2$
232285	Convert to Radical Form	(75/3)^(2/3)	${(\frac{75}{3})}^{\frac{2}{3}}$
232286	Simplify	[-2(x-36)]	$[- 2 (x - 36)]$
232287	Divide Using Synthetic Division	(-2x^5-x^3+5x+1)/(x+1)	$\frac{- 2 x^{5} - x^{3} + 5 x + 1}{x + 1}$
232288	Solve the Inequality for p	2>=5+p	$2 \geq 5 + p$
232289	Solve for n	3/2(7/3n+1)=3/2	$\frac{3}{2} (\frac{7}{3} n + 1) = \frac{3}{2}$
232290	Evaluate	-5/4+75/40+100%	$- \frac{5}{4} + \frac{75}{40} + 100 %$
232291	Simplify the Radical Expression	square root of 3(-5 square root of 10+ square root of 6)	$\sqrt{3} (- 5 \sqrt{10} + \sqrt{6})$
232292	Solve by Factoring	2cos(x)^2+3cos(x)+1=0	$2 \cos^{2} (x) + 3 \cos (x) + 1 = 0$
232293	Subtract	(-5x^2-4x-1)+(-4x^2-4x)	$(- 5 x^{2} - 4 x - 1) + (- 4 x^{2} - 4 x)$
232294	Simplify	-(7x^3y)^2	$- {(7 x^{3} y)}^{2}$
232295	Solve for x	6(5x-2)+12=30	$6 (5 x - 2) + 12 = 30$
232296	Solve for B	A=BC+BD	$A = B C + B D$
232297	Solve by Factoring	2e+3+7=2	$2 e + 3 + 7 = 2$
232298	Find the Function	V(r)=4/3pir^3	$V (r) = \frac{4}{3} π r^{3}$
232299	Simplify	(3^(1/3)*5^(-1/6))^6	${(3^{\frac{1}{3}} \cdot 5^{- \frac{1}{6}})}^{6}$
232300	Solve for x	3(5x-12)=5(x+4/5)	$3 (5 x - 12) = 5 (x + \frac{4}{5})$