Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
47401	Simplify the Radical Expression	(5- square root of 7)/(9- square root of 14)	$\frac{5 - \sqrt{7}}{9 - \sqrt{14}}$
47402	Find the Domain	square root of y-x^2	$\sqrt{y - x^{2}}$
47403	Solve for k	( square root of 3)^(10k)=81^(k+3)	${(\sqrt{3})}^{10 k} = 81^{k + 3}$
47404	Evaluate	cube root of 7^4* cube root of 7^4	$\sqrt[3]{7^{4}} \cdot \sqrt[3]{7^{4}}$
47405	Find the Maximum/Minimum Value	Let g(x)=x^4-x^5	Let $g (x) = x^{4} - x^{5}$
47406	Add	(9x^6-4x^5)+(10x^5-15x^4+14)	$(9 x^{6} - 4 x^{5}) + (10 x^{5} - 15 x^{4} + 14)$
47407	Find the Exact Value	1/2-( square root of 3)/2	$\frac{1}{2} - \frac{\sqrt{3}}{2}$
47408	Simplify the Radical Expression	square root of 33/(x^4)	$\sqrt{\frac{33}{x^{4}}}$
47409	Find the Domain and Range	f(x)=2x if x<=0; 2 if x>0	$f (x) = {\begin{cases} 2 x & x \leq 0 \\ 2 & x > 0 \end{cases}$
47410	Add	(8x^2+8x)-(-9x^2+8x)	$(8 x^{2} + 8 x) - (- 9 x^{2} + 8 x)$
47411	Find the Tangent Line at (-2,-3)	f(x)=x^3+x+7 ;, (-2,-3)	$f (x) = x^{3} + x + 7$ ;, $(- 2, - 3)$
47412	Describe the Transformation	f(x)=-2/(2x-4)+1	$f (x) = - \frac{2}{2 x - 4} + 1$
47413	Simplify	(8^8)^8	${(8^{8})}^{8}$
47414	Expand Using Sum/Difference Formulas	cot((25pi)/2+t)	$\cot (\frac{25 π}{2} + t)$
47415	Evaluate	3/4-6/7(1/2)^2	$\frac{3}{4} - \frac{6}{7} {(\frac{1}{2})}^{2}$
47416	Find the Degree	2a^3b^2+a^6b^4+3a^7	$2 a^{3} b^{2} + a^{6} b^{4} + 3 a^{7}$
47417	Simplify	(w^3*w^5)/((w^2)^4)	$\frac{w^{3} \cdot w^{5}}{{(w^{2})}^{4}}$
47418	Evaluate	cube root of 0+1	$\sqrt[3]{0 + 1}$
47419	Evaluate	3x^2=48	$3 x^{2} = 48$
47420	Simplify	( square root of 44* square root of 63)/( square root of 99)	$\frac{\sqrt{44} \cdot \sqrt{63}}{\sqrt{99}}$
47421	Solve for z	x=y*z	$x = y \cdot z$
47422	Divide	( square root of 2x+3)/( square root of 8x)	$\frac{\sqrt{2 x} + 3}{\sqrt{8 x}}$
47423	Divide Using Long Polynomial Division	(x^4+5x^3+6x^2-4)÷(x+3)	$(x^{4} + 5 x^{3} + 6 x^{2} - 4) \div (x + 3)$
47424	Find Where Increasing/Decreasing	g'(x)=x/(x+3)	$g' (x) = \frac{x}{x + 3}$
47425	Find the Asymptotes	g(x)=3csc(2x)	$g (x) = 3 \csc (2 x)$
47426	Identify the Zeros and Their Multiplicities	f(x)=6(x^2+1)^2(x-5)^3	$f (x) = 6 {(x^{2} + 1)}^{2} {(x - 5)}^{3}$
47427	Solve for b	s=ph+2b	$s = p h + 2 b$
47428	Solve the System of Inequalities	x<-7 and x<7	$x < - 7$ and $x < 7$
47429	Simplify the Radical Expression	fourth root of (x^24y^20)/81	$\sqrt[4]{\frac{x^{24} y^{20}}{81}}$
47430	Simplify	3x^2-(9x-8x^2)+4x-4	$3 x^{2} - (9 x - 8 x^{2}) + 4 x - 4$
47431	Solve for x	3x^2+x-1=(2x+9)(x-1)	$3 x^{2} + x - 1 = (2 x + 9) (x - 1)$
47432	Find the Product	2xy(3x^2-xy+7)	$2 x y (3 x^{2} - x y + 7)$
47433	Evaluate the Integral	integral of (2x-5)/(x^2-5x-1) with respect to x	$\int \frac{2 x - 5}{x^{2} - 5 x - 1} d x$
47434	Find All Complex Solutions	(x+1)/(2x-1)=x/2+3/(4x-2)	$\frac{x + 1}{2 x - 1} = \frac{x}{2} + \frac{3}{4 x - 2}$
47435	Find the Roots (Zeros)	square root of x+1=x-1	$\sqrt{x + 1} = x - 1$
47436	Write in Standard Form	(-9- square root of -18)/3	$\frac{- 9 - \sqrt{- 18}}{3}$
47437	Divide	(18m^4+3m^3+45m^2)÷9m	$(18 m^{4} + 3 m^{3} + 45 m^{2}) \div 9 m$
47438	Find the Product	2cd^4(-4c^6d^5-c^3d)	$2 c d^{4} (- 4 c^{6} d^{5} - c^{3} d)$
47439	Solve the Inequality for x	6x^2+17x>6x-3	$6 x^{2} + 17 x > 6 x - 3$
47440	Solve for v	(v+9)/15=0	$\frac{v + 9}{15} = 0$
47441	Solve for p	-1/4(p+16)=2	$- \frac{1}{4} (p + 16) = 2$
47442	Simplify	((2x^0)/(4x^-2y^4))	$(\frac{2 x^{0}}{4 x^{- 2} y^{4}})$
47443	Rationalize the Denominator	(2q^2)/( square root of 18q^6)	$\frac{2 q^{2}}{\sqrt{18 q^{6}}}$
47444	Solve the Rational Equation for v	-10 square root of v-10=-60	$- 10 \sqrt{v - 10} = - 60$
47445	Simplify	(x^0y^3)/(y^6)	$\frac{x^{0} y^{3}}{y^{6}}$
47446	Solve for x in Degrees	2sin(x)tan(x)+tan(x)=0	$2 \sin (x) \tan (x) + \tan (x) = 0$
47447	Graph	6x^2+9(y-2)^2<=36 x^2+(y+3)^2<=25	$6 x^{2} + 9 {(y - 2)}^{2} \leq 36$ $x^{2} + {(y + 3)}^{2} \leq 25$
47448	Solve for x	10=(1+7x)/(7+x)	$10 = \frac{1 + 7 x}{7 + x}$
47449	Find the Holes in the Graph	(x^2-3x-70)/(3x^2-30x)	$\frac{x^{2} - 3 x - 70}{3 x^{2} - 30 x}$
47450	Simplify	5x-3+x+2+5x-3+x+2	$5 x - 3 + x + 2 + 5 x - 3 + x + 2$
47451	Simplify	1/2( square root of 3)/2	$\frac{1}{2} \cdot \frac{\sqrt{3}}{2}$
47452	Find the Exact Value	25*25	$25 \cdot 25$
47453	Find the Axis of Symmetry	g(x)=\|x-7\|-6	$g (x) = \| x - 7 \| - 6$
47454	Graph	3x+y=0 , x<=0	$3 x + y = 0$ , $x \leq 0$
47455	Write in Standard Form	y=(-4x+5)/3	$y = \frac{- 4 x + 5}{3}$
47456	Graph	f(x)=-2/(2x-4)+1	$f (x) = - \frac{2}{2 x - 4} + 1$
47457	Find All Complex Solutions	square root of 8x-1+4=8	$\sqrt{8 x - 1} + 4 = 8$
47458	Simplify	((x^2)/(x^-4*2x^6))^5	${(\frac{x^{2}}{x^{- 4} \cdot 2 x^{6}})}^{5}$
47459	Simplify	sec(x)*sin(x)^2+cos(x)	$\sec (x) \cdot \sin^{2} (x) + \cos (x)$
47460	Evaluate	square root of 2x+1-4=-1	$\sqrt{2 x + 1} - 4 = - 1$
47461	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+15x^2-16x+4 is divided by 2x-1	Use the long division method to find the result when $2 x^{3} + 15 x^{2} - 16 x + 4$ is divided by $2 x - 1$
47462	Write in Standard Form	y=x^2(x^2-7)(2x+3)	$y = x^{2} (x^{2} - 7) (2 x + 3)$
47463	Convert to Interval Notation	x<4 and x>-3	$x < 4$ and $x > - 3$
47464	Solve for v	7v+7=19v-3v+61	$7 v + 7 = 19 v - 3 v + 61$
47465	Simplify	3x(7x)	$3 x \cdot (7 \cdot x)$
47466	Graph	y=inx	$y = i n x$
47467	Solve the System of Equations	3x-y+2z=3 x-2z=12 4x+z=12	$3 x - y + 2 z = 3$ $x - 2 z = 12$ $4 x + z = 12$
47468	Solve for s	0.9s=s+0.8	$0.9 s = s + 0.8$
47469	Solve Using the Quadratic Formula	3x^2+x-1=(2x+9)(x-1)	$3 x^{2} + x - 1 = (2 x + 9) (x - 1)$
47470	Multiply	4 cube root of -9*7 cube root of 48	$4 \sqrt[3]{- 9} \cdot 7 \sqrt[3]{48}$
47471	Find dy/dx	cos(5x+y)=y	$\cos (5 x + y) = y$
47472	Find the Integral	natural log of 1+x	$\ln (1 + x)$
47473	Find the x and y Intercepts	8x-1/3y=16	$8 x - \frac{1}{3} y = 16$
47474	Find the Asymptotes	(12x^3)/(3x^2+1)	$\frac{12 x^{3}}{3 x^{2} + 1}$
47475	Solve for x	1/x+1/3<1/5	$\frac{1}{x} + \frac{1}{3} < \frac{1}{5}$
47476	Solve the Rational Equation for m	2+ square root of m-2=7	$2 + \sqrt{m - 2} = 7$
47477	Multiply	( square root of 5+ square root of 2)^2	${(\sqrt{5} + \sqrt{2})}^{2}$
47478	Simplify	((y^2x^-4)/(5xy^-8))^3	${(\frac{y^{2} x^{- 4}}{5 x y^{- 8}})}^{3}$
47479	Solve the System of Inequalities	-9x+5y<=-6 4x-8y<-16	$- 9 x + 5 y \leq - 6$ $4 x - 8 y < - 16$
47480	Divide	(-5-i)/(-10i)	$\frac{- 5 - i}{- 10 i}$
47481	Find the Domain	log of 2x^2+3x = log of 6x+2	$\log (2 x^{2} + 3 x) = \log (6 x + 2)$
47482	Simplify	(n)(-n^3)	$(n) (- n^{3})$
47483	Simplify	fifth root of -(y-z)^15	$\sqrt[5]{- {(y - z)}^{15}}$
47484	Find the Equation with a Point and y-intercept	9/8 , y-7/2	$\frac{9}{8}$ , $y - \frac{7}{2}$
47485	Simplify	(t-7)/(t^2-6t-16)*(t+2)/(t^2-15t+56)	$\frac{t - 7}{t^{2} - 6 t - 16} \cdot \frac{t + 2}{t^{2} - 15 t + 56}$
47486	Solve for x	5/(2(5x-1)^(1/2))=5/9	$\frac{5}{2 {(5 x - 1)}^{\frac{1}{2}}} = \frac{5}{9}$
47487	Multiply	(x^2-x-6)/(2x^2+x-6)*(2x^2+9x-18)/(x^2-9)	$\frac{x^{2} - x - 6}{2 x^{2} + x - 6} \cdot \frac{2 x^{2} + 9 x - 18}{x^{2} - 9}$
47488	Multiply	(x^3+9x^2)/(2x)*(x^2-14x+45)/(x^2-81)	$\frac{x^{3} + 9 x^{2}}{2 x} \cdot \frac{x^{2} - 14 x + 45}{x^{2} - 81}$
47489	Evaluate	5^(x-3)=4^(3-x)	$5^{x - 3} = 4^{3 - x}$
47490	Evaluate the Integral	integral from 0 to 2 of pi(4-2x)^2 with respect to x	$\int_{0}^{2} π {(4 - 2 x)}^{2} d x$
47491	Evaluate	((2m^2)^-1)/(m^2)	$\frac{{(2 m^{2})}^{- 1}}{m^{2}}$
47492	Plot	y>x+2	$y > x + 2$
47493	Find the Exact Value	csc((5pi)/4)^2	$\csc^{2} (\frac{5 π}{4})$
47494	Graph	cot(theta)<0 and cos(theta)>0	$\cot (θ) < 0$ and $\cos (θ) > 0$
47495	Simplify the Matrix	(3x^2)(-2x^4)=3(-2)x^(2*4)=6x^8	$(3 x^{2}) (- 2 x^{4}) = 3 (- 2) x^{2 \cdot 4} = 6 x^{8}$
47496	Graph	f(x) = square root of \|x\|	$f (x) = \sqrt{\| x \|}$
47497	Simplify	(12x^2y^2)/(6x^2y^2)	$\frac{12 x^{2} y^{2}}{6 x^{2} y^{2}}$
47498	Graph Using a Table of Values	y=- square root of 4-x^2	$y = - \sqrt{4 - x^{2}}$
47499	Evaluate	9x-7y>3(3x-7z)	$9 x - 7 y > 3 (3 x - 7 z)$
47500	Divide	x^3-6 by x+2	$x^{3} - 6$ by $x + 2$