Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
7401	Evaluate	(4^-2-8^-1)/(4^-2+8^-1)	$\frac{4^{- 2} - 8^{- 1}}{4^{- 2} + 8^{- 1}}$
7402	Simplify the Radical Expression	3 square root of 16x^4y^4z	$3 \sqrt{16 x^{4} y^{4} z}$
7403	Graph	x=1 y=-2	$x = 1$ $y = - 2$
7404	Write the Fraction in Simplest Form	(4s^8)/((3s)^3)	$\frac{4 s^{8}}{{(3 s)}^{3}}$
7405	Find the Domain and Range	y=(2pi)/3sec(3x)	$y = \frac{2 π}{3} \sec (3 x)$
7406	Evaluate	5^(2x)=125	$5^{2 x} = 125$
7407	Find the Second Derivative	S(t)=2t^(3/2)-9t+6	$S (t) = 2 t^{\frac{3}{2}} - 9 t + 6$
7408	Solve for y	(y+2)^2-10(y+2)=-9	${(y + 2)}^{2} - 10 (y + 2) = - 9$
7409	Simplify the Radical Expression	square root of 8/3	$\sqrt{\frac{8}{3}}$
7410	Simplify the Radical Expression	square root of 13x^2	$\sqrt{13 x^{2}}$
7411	Divide	Divide x^2+8x+15 by x+3	Divide $x^{2} + 8 x + 15$ by $x + 3$
7412	Simplify	cube root of (64x^9)/343	$\sqrt[3]{\frac{64 x^{9}}{343}}$
7413	Divide Using Long Polynomial Division	x^3+9x^2+14x-24 , x+6	$x^{3} + 9 x^{2} + 14 x - 24$ , $x + 6$
7414	Divide	4÷( square root of 3)	$4 \div \sqrt{3}$
7415	Graph	-6+6x<=3x-9	$- 6 + 6 x \leq 3 x - 9$
7416	Simplify	Find the sum of -8x^2+3 and -9x^2+3x-3	Find the sum of $- 8 x^{2} + 3$ and $- 9 x^{2} + 3 x - 3$
7417	Solve the Inequality for x	x^2-4x+2>0	$x^{2} - 4 x + 2 > 0$
7418	Solve for x	2^(2x^2+10x)=(1/4)^(6x+28)	$2^{2 x^{2} + 10 x} = {(\frac{1}{4})}^{6 x + 28}$
7419	Evaluate	e^(-2 natural log of 1/5)	$e^{- 2 \ln (\frac{1}{5})}$
7420	Find the Exact Value	tan(540 degrees )	$\tan (540 °)$
7421	Add	(5x^4+3x^2-6x-10)+(2x^3-7x^2+6x+1)	$(5 x^{4} + 3 x^{2} - 6 x - 10) + (2 x^{3} - 7 x^{2} + 6 x + 1)$
7422	Solve for x	100^(8x+30)=10^(-2x^2-6x)	$100^{8 x + 30} = 10^{- 2 x^{2} - 6 x}$
7423	Find the Exact Value	log base 2 of 3/25+5 log base 2 of 5+ log base 2 of 27- log base 2 of 125/12- log base 2 of 243	$\log_{2} (\frac{3}{25}) + 5 \log_{2} (5) + \log_{2} (27) - \log_{2} (\frac{125}{12}) - \log_{2} (243)$
7424	Simplify	6 square root of 5-5 square root of 5-7 square root of 5	$6 \sqrt{5} - 5 \sqrt{5} - 7 \sqrt{5}$
7425	Find the Asymptotes	(x^2-49)/(2x^2-20x+32)	$\frac{x^{2} - 49}{2 x^{2} - 20 x + 32}$
7426	Simplify	((3x^-4y^-5z^-2)/(9x^2y^-8z^-9))^-2	${(\frac{3 x^{- 4} y^{- 5} z^{- 2}}{9 x^{2} y^{- 8} z^{- 9}})}^{- 2}$
7427	Simplify	8 fourth root of 5- fourth root of 20* fourth root of 4	$8 \sqrt[4]{5} - \sqrt[4]{20} \cdot \sqrt[4]{4}$
7428	Simplify	3i+4-3i+2i-6	$3 i + 4 - 3 i + 2 i - 6$
7429	Graph	Draw the graph of y=1/2f(x)	Draw the graph of $y = \frac{1}{2} f (x)$
7430	Solve for a	log of 4a+7 = log of 5a-5	$\log (4 a + 7) = \log (5 a - 5)$
7431	Solve the System of Equations	y=2x^2-4 y=-2x	$y = 2 x^{2} - 4$ $y = - 2 x$
7432	Simplify	7x^4(2x^6+4x^3-3x^2-5x)	$7 x^{4} (2 x^{6} + 4 x^{3} - 3 x^{2} - 5 x)$
7433	Solve for x	12-x(x-3)=(6-x)(x+2)	$12 - x (x - 3) = (6 - x) (x + 2)$
7434	Divide Using Long Polynomial Division	x^3+9x^2+8x-60 , x+6	$x^{3} + 9 x^{2} + 8 x - 60$ , $x + 6$
7435	Solve for x	x^3+5x^2-x-7=x^2+6x+3	$x^{3} + 5 x^{2} - x - 7 = x^{2} + 6 x + 3$
7436	Find the Inverse	f(x)=2x^(2+3)	$f (x) = 2 x^{2 + 3}$
7437	Solve the System of Equations	-x+y=1 x-y=1	$- x + y = 1$ $x - y = 1$
7438	Simplify	(sin(theta))/(cos(theta))+tan(theta)	$\frac{\sin (θ)}{\cos (θ)} + \tan (θ)$
7439	Graph	(x+1)(x-1)(x-2)	$(x + 1) (x - 1) (x - 2)$
7440	Find All Complex Solutions	x^3-9x^2+20x=0	$x^{3} - 9 x^{2} + 20 x = 0$
7441	Simplify the Radical Expression	square root of 2( square root of 6+ square root of 7)	$\sqrt{2} (\sqrt{6} + \sqrt{7})$
7442	Find Where Increasing/Decreasing	f(x)=(3/4)^(2(x+1))-5	$f (x) = {(\frac{3}{4})}^{2 (x + 1)} - 5$
7443	Find the Antiderivative	x/(x-1)	$\frac{x}{x - 1}$
7444	Simplify	Find the sum of -7x^2-6x+9 and -3x^2-x+7	Find the sum of $- 7 x^{2} - 6 x + 9$ and $- 3 x^{2} - x + 7$
7445	Solve for m	-\|m+3\|=-13	$- \| m + 3 \| = - 13$
7446	Solve for x	9^(15x-48)=3^(3x^2-6x)	$9^{15 x - 48} = 3^{3 x^{2} - 6 x}$
7447	Simplify	-4*(-4)^-2	$- 4 \cdot {(- 4)}^{- 2}$
7448	Simplify	(a^6+b^6)/(a^2+b^2)	$\frac{a^{6} + b^{6}}{a^{2} + b^{2}}$
7449	Solve for p	2+ square root of 3p+7=6	$2 + \sqrt{3 p + 7} = 6$
7450	Add	1/8+2 3/4+1/2	$\frac{1}{8} + 2 \frac{3}{4} + \frac{1}{2}$
7451	Simplify	(2+ square root of 3)/( square root of 3+ square root of 2)	$\frac{2 + \sqrt{3}}{\sqrt{3} + \sqrt{2}}$
7452	Solve the System of Equations	y=x^2-8x -2x+y=-21	$y = x^{2} - 8 x$ $- 2 x + y = - 21$
7453	Graph	f(x)=1/2(x-1)^3+3	$f (x) = \frac{1}{2} {(x - 1)}^{3} + 3$
7454	Find the x and y Intercepts	F(x) = cube root of x-5	$F (x) = \sqrt[3]{x - 5}$
7455	Find g(f(x))	f(x)=x+3 , g(x)=7x^2	$f (x) = x + 3$ , $g (x) = 7 x^{2}$
7456	Graph	4x-5y>=-35 y>-x-2	$4 x - 5 y \geq - 35$ $y > - x - 2$
7457	Solve the Absolute Value Inequality for x	\|x\|+x=0	$\| x \| + x = 0$
7458	Rationalize the Denominator	3/(2 square root of 2* square root of 3)	$\frac{3}{2 \sqrt{2} \cdot \sqrt{3}}$
7459	Solve for a	4/(3a)=-(3d)/r	$\frac{4}{3 a} = - \frac{3 d}{r}$
7460	Simplify	3x cube root of x^8y+x^2 cube root of x^5y	$3 x \sqrt[3]{x^{8} y} + x^{2} \sqrt[3]{x^{5} y}$
7461	Simplify the Radical Expression	-2 square root of 48a^3b^4c^2	$- 2 \sqrt{48 a^{3} b^{4} c^{2}}$
7462	Simplify	(2^-1+2^0)-(6^-1+6^0)	$(2^{- 1} + 2^{0}) - (6^{- 1} + 6^{0})$
7463	Solve by Graphing	y=-1/5x-3 y=x+3	$y = - \frac{1}{5} x - 3$ $y = x + 3$
7464	Simplify	(y^-2)^4+(y^3)/(y^5)	${(y^{- 2})}^{4} + \frac{y^{3}}{y^{5}}$
7465	Expand the Logarithmic Expression	log of x/( cube root of y^5z^2)	$\log (\frac{x}{\sqrt[3]{y^{5} z^{2}}})$
7466	Solve for x	2/3x-3/5+x=1/15-1/3x	$\frac{2}{3} x - \frac{3}{5} + x = \frac{1}{15} - \frac{1}{3} x$
7467	Solve for y	16^(-3y)*1/8=(1/32)^(2y-3)	$16^{- 3 y} \cdot \frac{1}{8} = {(\frac{1}{32})}^{2 y - 3}$
7468	Find the End Behavior	f(x)=-140x^4-3728x+3360-20x^5+580x^3+4x^6+520x^2	$f (x) = - 140 x^{4} - 3728 x + 3360 - 20 x^{5} + 580 x^{3} + 4 x^{6} + 520 x^{2}$
7469	Evaluate the Limit	limit as x approaches negative infinity of (2x^3+3x+2)/(5x^2+x)	$lim_{x \to - \infty} \frac{2 x^{3} + 3 x + 2}{5 x^{2} + x}$
7470	Solve the Function Operation	f(x)=2x-3 g(x)=x^2-4x+7 Find: (fog)(x)	$f (x) = 2 x - 3$ $g (x) = x^{2} - 4 x + 7$ Find: $((f \circ g)) (x)$
7471	Solve for y	xy-5x-7y+35=0	$x y - 5 x - 7 y + 35 = 0$
7472	Find the Asymptotes	f(x)=-2 log base 3 of 3-x	$f (x) = - 2 \log_{3} (3 - x)$
7473	Evaluate	(1/2x^4)^7	${(\frac{1}{2} x^{4})}^{7}$
7474	Find the Inflection Points	f(x)=3/10x^5+5x^4	$f (x) = \frac{3}{10} x^{5} + 5 x^{4}$
7475	Simplify	fifth root of 32xy^6z^5	$\sqrt[5]{32 x y^{6} z^{5}}$
7476	Simplify	(16x^2y(y+x))/(12xy(x+y))	$\frac{16 x^{2} y (y + x)}{12 x y (x + y)}$
7477	Simplify	(xy)/( cube root of 9xy^2)	$\frac{x y}{\sqrt[3]{9 x y^{2}}}$
7478	Find the Norm	[[4],[0],[4],[5],[6],[7],[8]]	$[\begin{array}{c} 4 \\ 0 \\ 4 \\ 5 \\ 6 \\ 7 \\ 8 \end{array}]$
7479	Subtract	1/2-5/3	$\frac{1}{2} - \frac{5}{3}$
7480	Evaluate	(2z)/(z-2)-5/(z-4)=5	$\frac{2 z}{z - 2} - \frac{5}{z - 4} = 5$
7481	Simplify	(a^2+a-4)*(2a^2-a-1)	$(a^{2} + a - 4) \cdot (2 a^{2} - a - 1)$
7482	Simplify	cube root of 10^5* cube root of 10^2	$\sqrt[3]{10^{5}} \cdot \sqrt[3]{10^{2}}$
7483	Solve the Function Operation	g(n)=n+1 f(n)=n^2-n Find g(f(8))	$g (n) = n + 1$ $f (n) = n^{2} - n$ Find $g (f (8))$
7484	Find the x and y Intercepts	y+3=2^x	$y + 3 = 2^{x}$
7485	Find the Domain and Range	f(x)=1/(\|x\|-3)	$f (x) = \frac{1}{\| x \| - 3}$
7486	Simplify	(a/(1+a)+(1-a)/a)/(a/(a-1)-(1+a)/a)	$\frac{\frac{a}{1 + a} + \frac{1 - a}{a}}{\frac{a}{a - 1} - \frac{1 + a}{a}}$
7487	Find the Derivative - d/dx	y = natural log of 4x^2+b	$y = \ln (4 x^{2} + b)$
7488	Find the Antiderivative	x^2*e^(x^3+1)	$x^{2} \cdot e^{x^{3} + 1}$
7489	Evaluate	square root of 3x+4=1+ square root of 3x-11	$\sqrt{3 x + 4} = 1 + \sqrt{3 x - 11}$
7490	Factor by Grouping	b^6-3b^4-2b^2+6	$b^{6} - 3 b^{4} - 2 b^{2} + 6$
7491	Rationalize the Denominator	(2+ square root of x)/(3-2 square root of x)	$\frac{2 + \sqrt{x}}{3 - 2 \sqrt{x}}$
7492	Find the Reciprocal	- square root of 3	$- \sqrt{3}$
7493	Convert to Interval Notation	(3x+2)/(x-4)<=7	$\frac{3 x + 2}{x - 4} \leq 7$
7494	Simplify the Radical Expression	-3 square root of 3(2+ square root of 6)	$- 3 \sqrt{3} (2 + \sqrt{6})$
7495	Solve by Addition/Elimination	a+4b=-4 a+10b=-16	$a + 4 b = - 4$ $a + 10 b = - 16$
7496	Find the Antiderivative	(3x-1)/(x+2)	$\frac{3 x - 1}{x + 2}$
7497	Evaluate the Function	f(x)=3x^2+2x-20 for x=3	$f (x) = 3 x^{2} + 2 x - 20$ for $x = 3$
7498	Simplify	5(x/y)^0	$5 {(\frac{x}{y})}^{0}$
7499	Find Amplitude, Period, and Phase Shift	y=-3cot(x-pi)+1	$y = - 3 \cot (x - π) + 1$
7500	Find the Domain	(ax+ay)/(xy^2)*(x^2y)/(3x+3y)	$\frac{a x + a y}{x y^{2}} \cdot \frac{x^{2} y}{3 x + 3 y}$