Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
225401	Simplify the Radical Expression	( square root of 2)/( square root of 2)	$\frac{\sqrt{2}}{\sqrt{2}}$
225402	Graph	y<=x+3 and y>=-2x-2	$y \leq x + 3$ and $y \geq - 2 x - 2$
225403	Simplify	(-4i)^11	${(- 4 i)}^{11}$
225404	Simplify	(x^4-1)/(x^2-1)	$\frac{x^{4} - 1}{x^{2} - 1}$
225405	Simplify the Radical Expression	fourth root of (x^24y^4)/16	$\sqrt[4]{\frac{x^{24} y^{4}}{16}}$
225406	Solve the Inequality for x	3(x-2)<3-2(2x-6)	$3 (x - 2) < 3 - 2 (2 x - 6)$
225407	Write in Standard Form	5-3/4x=7/12	$5 - \frac{3}{4} x = \frac{7}{12}$
225408	Graph	x+y<2 4x+y<-1	$x + y < 2$ $4 x + y < - 1$
225409	Convert to Radical Form	((a^2+3)^(1/3))/((a^2-3)^(-1/3))	$\frac{{(a^{2} + 3)}^{\frac{1}{3}}}{{(a^{2} - 3)}^{- \frac{1}{3}}}$
225410	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+17x^2+19x+28 is divided by 3x+7	Use the long division method to find the result when $6 x^{3} + 17 x^{2} + 19 x + 28$ is divided by $3 x + 7$
225411	Solve for y	limit as x approaches 1 of (x^2-y^2)/(x+2)=-1	$lim_{x \to 1} \frac{x^{2} - y^{2}}{x + 2} = - 1$
225412	Simplify	(5x^2-8+2x)-(x+9x^2+5)	$(5 x^{2} - 8 + 2 x) - (x + 9 x^{2} + 5)$
225413	Find the Inverse	A(r)=pir^2	$A (r) = π r^{2}$
225414	Solve for x	(x-2)/5+8=11	$\frac{x - 2}{5} + 8 = 11$
225415	Divide	( square root of 2)/( square root of 2)	$\frac{\sqrt{2}}{\sqrt{2}}$
225416	Solve for y	-4-3y^2=-10	$- 4 - 3 y^{2} = - 10$
225417	Evaluate	4(5-(-9)*4+2)	$4 (5 - (- 9) \cdot 4 + 2)$
225418	Evaluate	(x^3-x^2-x)(x^3+x^2+x)	$(x^{3} - x^{2} - x) (x^{3} + x^{2} + x)$
225419	Solve for R	V = square root of (2GM)/R	$V = \sqrt{\frac{2 G M}{R}}$
225420	Graph	y=x^3+x^2-4x-4	$y = x^{3} + x^{2} - 4 x - 4$
225421	Convert to Interval Notation	-4<(4-3x)/2<-1	$- 4 < \frac{4 - 3 x}{2} < - 1$
225422	Solve the Inequality for p	2<=-8+p/2	$2 \leq - 8 + \frac{p}{2}$
225423	Identify the Sequence	-1 , 6 , -36 , 216 ; dots	$- 1$ , $6$ , $- 36$ , $216$ ; dots
225424	Write in Slope-Intercept Form	(-2,4) and (3,-1)	$(- 2, 4)$ and $(3, - 1)$
225425	Solve for a	4/(a-3)=2/5	$\frac{4}{a - 3} = \frac{2}{5}$
225426	Solve for x	log base 3 of x+6=2 log base 3 of x	$\log_{3} (x + 6) = 2 \log_{3} (x)$
225427	Solve for x	4/9x^2-4/3x=-1	$\frac{4}{9} x^{2} - \frac{4}{3} x = - 1$
225428	Simplify	square root of 45n^3	$\sqrt{45} n^{3}$
225429	Solve the System of Inequalities	-3m<6 and 4m>24	$- 3 m < 6$ and $4 m > 24$
225430	Solve for x	(x+6)/(4x^2)=(x+1)/(2x^2)	$\frac{x + 6}{4 x^{2}} = \frac{x + 1}{2 x^{2}}$
225431	Solve for r	16=4/3pir^3	$16 = \frac{4}{3} π r^{3}$
225432	Evaluate the Function	h(-8)=(x^2+3x)/(4x+27)	$h (- 8) = \frac{x^{2} + 3 x}{4 x + 27}$
225433	Simplify	i^3-i(2-i)	$i^{3} - i (2 - i)$
225434	Solve for a	x^2+2x-7=(x+a)^2+b	$x^{2} + 2 x - 7 = {(x + a)}^{2} + b$
225435	Convert to Interval Notation	3/4x+7<1 or 9(4-x)<=36	$\frac{3}{4} x + 7 < 1$ or $9 (4 - x) \leq 36$
225436	Evaluate	85% of 40	$85 %$ of $40$
225437	Solve the System of Equations	-x-y=-4 and -2x+4y=4	$- x - y = - 4$ and $- 2 x + 4 y = 4$
225438	Simplify	square root of (50x^3y)/(2xy^7)	$\sqrt{\frac{50 x^{3} y}{2 x y^{7}}}$
225439	Evaluate	log base 5 of 2x+1 = log base 5 of 4x-7	$\log_{5} (2 x + 1) = \log_{5} (4 x - 7)$
225440	Simplify	sin(theta)tan(theta)cot(theta)csc(theta)	$\sin (θ) \tan (θ) \cot (θ) \csc (θ)$
225441	Find the Quotient	(5x^4-3x^3-24x^2+2x-5)/(x+2)	$\frac{5 x^{4} - 3 x^{3} - 24 x^{2} + 2 x - 5}{x + 2}$
225442	Simplify	(x^(1/2))/(-3x^(4/3))	$\frac{x^{\frac{1}{2}}}{- 3 x^{\frac{4}{3}}}$
225443	Graph	(x^2+y^2-1)^3=x^2 y^3	${(x^{2} + y^{2} - 1)}^{3} = x^{2}$ $y^{3}$
225444	Solve the Inequality for x	(3x-5)/4-(x-6)/12<1	$\frac{3 x - 5}{4} - \frac{x - 6}{12} < 1$
225445	Simplify	2/( square root of 5+1)	$\frac{2}{\sqrt{5 + 1}}$
225446	Solve for x	square root of x-3 = square root of x-3	$\sqrt{x - 3} = \sqrt{x - 3}$
225447	Solve for x	5y^2*(2y^3)^x=80y^14	$5 y^{2} \cdot {(2 y^{3})}^{x} = 80 y^{14}$
225448	Solve for y	5y^3-3y^2+8y=0	$5 y^{3} - 3 y^{2} + 8 y = 0$
225449	Solve for x	(x+5)2/3=4	$(x + 5) \frac{2}{3} = 4$
225450	Multiply	a(a+b)	$a (a + b)$
225451	Combine Like Terms	(3-6n^5-8n^4)-(-6n^4-3n-8n^5)	$(3 - 6 n^{5} - 8 n^{4}) - (- 6 n^{4} - 3 n - 8 n^{5})$
225452	Simplify	(3n^(1/5))(9n^(4/5))	$(3 n^{\frac{1}{5}}) (9 n^{\frac{4}{5}})$
225453	Find the Domain and Range	y=sin(x-pi/4)	$y = \sin (x - \frac{π}{4})$
225454	Solve the System of Inequalities	2x+5y<10 3x-4y>=-8	$2 x + 5 y < 10$ $3 x - 4 y \geq - 8$
225455	Solve for c	2=c^2+c	$2 = c^{2} + c$
225456	Graph	x>-3 and x<2	$x > - 3$ and $x < 2$
225457	Simplify	( sixth root of 4)÷( cube root of 3)	$\sqrt[6]{4} \div \sqrt[3]{3}$
225458	Evaluate	(3v+2)-(2/3v-1/4)	$(3 v + 2) - (\frac{2}{3} v - \frac{1}{4})$
225459	Factor by Grouping	125-x^3	$125 - x^{3}$
225460	Simplify the Radical Expression	i^5	$i^{5}$
225461	Find the Domain and Range	f(x)=-3+2	$f (x) = - 3 + 2$
225462	Solve for m	square root of 25-25 = square root of 10+3m	$\sqrt{25 - 25} = \sqrt{10 + 3 m}$
225463	Plot	tan(theta)>0 , sin(theta)<0	$\tan (θ) > 0$ , $\sin (θ) < 0$
225464	Graph	f(x)=-1 if x<-1; x if -1<=x<=1; 1 if x>1	$f (x) = {\begin{cases} - 1 & x < - 1 \\ x & - 1 \leq x \leq 1 \\ 1 & x > 1 \end{cases}$
225465	Solve the System of Equations	x-3y=5 and 8x-7y=6	$x - 3 y = 5$ and $8 x - 7 y = 6$
225466	Rationalize the Denominator	(3 square root of 11- square root of 3)/( square root of 11+ square root of 3)	$\frac{3 \sqrt{11} - \sqrt{3}}{\sqrt{11} + \sqrt{3}}$
225467	Find the Product	1/3(2a^3b)(6b^3)	$\frac{1}{3} (2 a^{3} b) (6 b^{3})$
225468	Solve for k	-(-(-k))-(-2)(-2+k)=-k-(4k+3)	$- (- (- k)) - (- 2) (- 2 + k) = - k - (4 k + 3)$
225469	Divide	(-2/3)÷(2/3)	$- \frac{2}{3} \div \frac{2}{3}$
225470	Evaluate	y=(1/2)^-2	$y = {(\frac{1}{2})}^{- 2}$
225471	Expand the Logarithmic Expression	natural log of (x square root of y)/(zw^3)	$\ln (\frac{x \sqrt{y}}{z w^{3}})$
225472	Solve the System of Equations	a^2+2b^2=10 3a^2-b^2=9	$a^{2} + 2 b^{2} = 10$ $3 a^{2} - b^{2} = 9$
225473	Graph	y=(x+1)^(1/2)+8	$y = {(x + 1)}^{\frac{1}{2}} + 8$
225474	Evaluate	(1/( square root of x+h)-1/( square root of x))/h	$\frac{\frac{1}{\sqrt{x + h}} - \frac{1}{\sqrt{x}}}{h}$
225475	Simplify	(16^(2/5)*8^(2/5))/(4^(2/5))	$\frac{16^{\frac{2}{5}} \cdot 8^{\frac{2}{5}}}{4^{\frac{2}{5}}}$
225476	Solve the Inequality for c	(c+9)/-5<-2	$\frac{c + 9}{- 5} < - 2$
225477	Simplify	(-ab)(-b^2c^2)(-a^2b^2)	$(- a b) (- b^{2} c^{2}) (- a^{2} b^{2})$
225478	Simplify	1/(x-y)+2/(y-x)	$\frac{1}{x - y} + \frac{2}{y - x}$
225479	Simplify the Radical Expression	(7+ square root of 12)(7- square root of 12)	$(7 + \sqrt{12}) (7 - \sqrt{12})$
225480	Evaluate	(6^(1/2)*4^(1/3))^2	${(6^{\frac{1}{2}} \cdot 4^{\frac{1}{3}})}^{2}$
225481	Factor	(x+y)^2+6x(x+y)+8x^2	${(x + y)}^{2} + 6 x (x + y) + 8 x^{2}$
225482	Simplify	(3a^2+a+5)-(2a-5)	$(3 a^{2} + a + 5) - (2 a - 5)$
225483	Simplify	4/(9x)-(3x)/7	$\frac{4}{9 x} - \frac{3 x}{7}$
225484	Solve the Inequality for x	x>=-6-1/4(-6x+5)	$x \geq - 6 - \frac{1}{4} (- 6 x + 5)$
225485	Simplify	(sin(x)^4)/(cos(x)^2)	$\frac{\sin^{4} (x)}{\cos^{2} (x)}$
225486	Find the Inverse	F(x)=x^3-5/6	$F (x) = x^{3} - \frac{5}{6}$
225487	Graph Using a Table of Values	h(x)=5\|x-6\|-8	$h (x) = 5 \| x - 6 \| - 8$
225488	Simplify the Radical Expression	(3 square root of 8)/(8 square root of 5)	$\frac{3 \sqrt{8}}{8 \sqrt{5}}$
225489	Solve for x	x^3+3x^2=24x+72	$x^{3} + 3 x^{2} = 24 x + 72$
225490	Evaluate	-54/50-40/100+1.65	$- \frac{54}{50} - \frac{40}{100} + 1.65$
225491	Divide	1/22/1	$\frac{1}{2} \cdot \frac{2}{1}$
225492	Solve for x	y=2(x-a)	$y = 2 (x - a)$
225493	Solve for a	2a-7=2a	$2 a - 7 = 2 a$
225494	Simplify	fifth root of (9x^11y^2)/(32xy^7)	$\sqrt[5]{\frac{9 x^{11} y^{2}}{32 x y^{7}}}$
225495	Find the Roots (Zeros)	(x-2)^2(x+3)(x+1)^2	${(x - 2)}^{2} (x + 3) {(x + 1)}^{2}$
225496	Simplify	-4(x+1/16)	$- 4 (x + \frac{1}{16})$
225497	Evaluate	80% of 25	$80 %$ of $25$
225498	Simplify	(8-2i^4)+(3-7i^8)-(4+i^9)	$(8 - 2 i^{4}) + (3 - 7 i^{8}) - (4 + i^{9})$
225499	Simplify	(cos(A)+cos(B))/(sin(A)-sin(B))+(sin(A)+sin(B))/(cos(A)-cos(B)) ?	$\frac{\cos (A) + \cos (B)}{\sin (A) - \sin (B)} + \frac{\sin (A) + \sin (B)}{\cos (A) - \cos (B)}$ ?
225500	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (6,-5) and has a slope of -3/2 ?	What is the equation of the line that passes through the point $(6, - 5)$ and has a slope of $- \frac{3}{2}$ ?