Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
23501	Solve the System of Equations	2x+y=-4 y=5/2x+5	$2 x + y = - 4$ $y = \frac{5}{2} x + 5$
23502	Find the Derivative - d/dx	1/2(e^x-e^(-x))	$\frac{1}{2} (e^{x} - e^{- x})$
23503	Evaluate	1+ natural log of 1	$1 + \ln (1)$
23504	Write in Standard Form	(5x^2-9)+(-10x+7)	$(5 x^{2} - 9) + (- 10 x + 7)$
23505	Solve for x	3/4(2x-16)=1/3(x+6)	$\frac{3}{4} (2 x - 16) = \frac{1}{3} (x + 6)$
23506	Find the Reference Angle	cot((7pi)/4)	$\cot (\frac{7 π}{4})$
23507	Convert from Radians to Degrees	15rad	$15$ radians
23508	Evaluate	(2pi)÷2pi	$2 π \div 2 π$
23509	Solve for x	natural log of x>=3	$\ln (x) \geq 3$
23510	Solve the Inequality for x	4x^2+14x+14>=-3x+10	$4 x^{2} + 14 x + 14 \geq - 3 x + 10$
23511	Rationalize the Denominator	(10 cube root of z)/(2z^2)	$\frac{10 \sqrt[3]{z}}{2 z^{2}}$
23512	Simplify the Radical Expression	4/(1- square root of 3)	$\frac{4}{1 - \sqrt{3}}$
23513	Evaluate	3a^(-7/3)	$3 a^{- \frac{7}{3}}$
23514	Solve the System of Equations	2x=y-1 4x-2y+2=0	$2 x = y - 1$ $4 x - 2 y + 2 = 0$
23515	Graph	f(x)=(2x^2+x-3)/(4x^2-3x-1)	$f (x) = \frac{2 x^{2} + x - 3}{4 x^{2} - 3 x - 1}$
23516	Simplify the Radical Expression	square root of 2*0.5 square root of 8	$\sqrt{2} \cdot 0.5 \sqrt{8}$
23517	Factor	c^30+27/1000	$c^{30} + \frac{27}{1000}$
23518	Solve for x	y = square root of (2x+1)/(x-1)	$y = \sqrt{\frac{2 x + 1}{x - 1}}$
23519	Simplify/Condense	log base 3 of y+ log base 3 of x-1/2 log base 3 of x+3 log base 3 of z	$\log_{3} (y) + \log_{3} (x) - \frac{1}{2} \log_{3} (x) + 3 \log_{3} (z)$
23520	Simplify the Radical Expression	square root of 72a^3b^4c^5	$\sqrt{72 a^{3} b^{4} c^{5}}$
23521	Solve for x	1/3x^2=48/25	$\frac{1}{3} x^{2} = \frac{48}{25}$
23522	Solve the System of Equations	-9x-y+2z=-4 -6x+y+5z=2 -4x+y+5z=6	$- 9 x - y + 2 z = - 4$ $- 6 x + y + 5 z = 2$ $- 4 x + y + 5 z = 6$
23523	Simplify	( cube root of r^20s^8)/( cube root of r^2s^2)	$\frac{\sqrt[3]{r^{20} s^{8}}}{\sqrt[3]{r^{2} s^{2}}}$
23524	Evaluate the Integral	integral from 1 to 3 of 1/((x-1)^(4/3)) with respect to x	$\int_{1}^{3} \frac{1}{{(x - 1)}^{\frac{4}{3}}} d x$
23525	Find the 5th Term	2/3 , 4/9 , 8/27 , 16/81	$\frac{2}{3}$ , $\frac{4}{9}$ , $\frac{8}{27}$ , $\frac{16}{81}$
23526	Simplify the Radical Expression	5 square root of 20-2 square root of 75+4 square root of 12	$5 \sqrt{20} - 2 \sqrt{75} + 4 \sqrt{12}$
23527	Simplify	square root of a^4b^6c^2	$\sqrt{a^{4} b^{6} c^{2}}$
23528	Simplify	(x^2-1)/(5xy)*(x^2y)/(1+x)	$\frac{(x^{2} - 1)}{5 x y} \cdot \frac{x^{2} y}{1 + x}$
23529	Solve the Inequality for x	-3/5x+1/5>7/20	$- \frac{3}{5} x + \frac{1}{5} > \frac{7}{20}$
23530	Solve for x	2e^x=3e^(-x)+5	$2 e^{x} = 3 e^{- x} + 5$
23531	Simplify the Radical Expression	( fifth root of -21)^6	${(\sqrt[5]{- 21})}^{6}$
23532	Divide Using Long Polynomial Division	((3x-1)/(6x^4+x^3+8x^2+9x-4))	$(\frac{3 x - 1}{6 x^{4} + x^{3} + 8 x^{2} + 9 x - 4})$
23533	Solve for m	4m+3-m=3(m+1)	$4 m + 3 - m = 3 (m + 1)$
23534	Simplify	6/(x-2)+(x+3)/(2-x)	$\frac{6}{x - 2} + \frac{x + 3}{2 - x}$
23535	Find the Asymptotes	f(x)=4* log base pi of x	$f (x) = 4 \cdot \log_{π} (x)$
23536	Simplify	fifth root of u^11 fourth root of u^11	$\sqrt[5]{u^{11}} \sqrt[4]{u^{11}}$
23537	Find the Domain and Range	y=2arcsin(x)	$y = 2 \arcsin (x)$
23538	Find the Domain and Range	y=5/3sec(x)	$y = \frac{5}{3} \sec (x)$
23539	Multiply	22^22^2	$2 \cdot 2^{2} \cdot 2^{2}$
23540	Solve for h	9h-2<=10h-5	$9 h - 2 \leq 10 h - 5$
23541	Simplify	(2- square root of 6)/(2+ square root of 6)	$\frac{2 - \sqrt{6}}{2 + \sqrt{6}}$
23542	Simplify	(3x^2+2x+1)-(x^2+4x)	$(3 x^{2} + 2 x + 1) - (x^{2} + 4 x)$
23543	Find the Other Trig Values in Quadrant III	sec(theta)=- square root of 2	$\sec (θ) = - \sqrt{2}$
23544	Simplify	-5*2^4+6÷2-4^2	$- 5 \cdot 2^{4} + 6 \div 2 - 4^{2}$
23545	Find the Antiderivative	1/(x^2+2x)	$\frac{1}{x^{2} + 2 x}$
23546	Solve for u	-12+5(-2u-20)=3(u+19)	$- 12 + 5 (- 2 u - 20) = 3 (u + 19)$
23547	Solve for z	4/15z+5/6z+1/2=1 3/5	$\frac{4}{15} z + \frac{5}{6} z + \frac{1}{2} = 1 \frac{3}{5}$
23548	Simplify the Radical Expression	1/( cube root of 2)	$\frac{1}{\sqrt[3]{2}}$
23549	Graph	x-y>=0 4x+3y<18	$x - y \geq 0$ $4 x + 3 y < 18$
23550	Graph Using a Table of Values	f(x)=1/2*3^x	$f (x) = \frac{1}{2} \cdot 3^{x}$
23551	Graph	f(x)=-2x-5 g(x)=x-1	$f (x) = - 2 x - 5$ $g (x) = x - 1$
23552	Find dy/dx	y=(3x^3)/(2x^3-1)	$y = \frac{3 x^{3}}{2 x^{3} - 1}$
23553	Integrate Using u-Substitution	integral of x/( square root of x^2+1) with respect to x	$\int \frac{x}{\sqrt{x^{2} + 1}} d x$
23554	Simplify the Radical Expression	square root of 16xy	$\sqrt{16 x y}$
23555	Subtract	2-2/6	$2 - \frac{2}{6}$
23556	Simplify	4 square root of 2-10 square root of 2+11 square root of 2-20 square root of 2	$4 \sqrt{2} - 10 \sqrt{2} + 11 \sqrt{2} - 20 \sqrt{2}$
23557	Solve for x	(3x^2+4)/(4x^2-25)-2/(2x-5)=x/(2x+5)	$\frac{3 x^{2} + 4}{4 x^{2} - 25} - \frac{2}{2 x - 5} = \frac{x}{2 x + 5}$
23558	Evaluate	4 1/3-(-2/3)	$4 \frac{1}{3} - (- \frac{2}{3})$
23559	Convert to Radical Form	(5x)^(-1/2)	${(5 x)}^{\frac{- 1}{2}}$
23560	Solve for x	3 square root of 2x-4 square root of 2x=24-3 square root of 2x	$3 \sqrt{2 x} - 4 \sqrt{2 x} = 24 - 3 \sqrt{2 x}$
23561	Add	(x^2+13x-20)/(x^2-25)+(x-1)/(x+5)	$\frac{x^{2} + 13 x - 20}{x^{2} - 25} + \frac{x - 1}{x + 5}$
23562	Solve the Function Operation	f(x)=x^2-2x-10 g(x)=-3x-2 Find: (fog)(x)	$f (x) = x^{2} - 2 x - 10$ $g (x) = - 3 x - 2$ Find: $((f \circ g)) (x)$
23563	Simplify	(2x)^4*(2x)	${(2 x)}^{4} \cdot (2 x)$
23564	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^3+3x^2-19x-18 is divided by x+2	Use synthetic division to find the result when $4 x^{3} + 3 x^{2} - 19 x - 18$ is divided by $x + 2$
23565	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,-1) and has a slope of 1/5 ?	What is the equation of the line that passes through the point $(5, - 1)$ and has a slope of $\frac{1}{5}$ ?
23566	Solve for x	64=-6(7x-8)-8(-2+8x)	$64 = - 6 (7 x - 8) - 8 (- 2 + 8 x)$
23567	Graph	-3x-3y>=-18 -x<=-y	$- 3 x - 3 y \geq - 18$ $- x \leq - y$
23568	Find the LCD	4/(-9x)-3/7	$\frac{4}{- 9 x} - \frac{3}{7}$
23569	Write in Slope-Intercept Form	y-3=2x	$y - 3 = 2 x$
23570	Solve for r	(-2,8) , (r,4) , m=-1/2	$(- 2, 8)$ , $(r, 4)$ , $m = - \frac{1}{2}$
23571	Evaluate	cos(x)^2-1	$\cos^{2} (x) - 1$
23572	Simplify	(3x^2-6x)/(4-x^2)*(3x^2+5x-2)/(27x^2-3)	$\frac{3 x^{2} - 6 x}{4 - x^{2}} \cdot \frac{3 x^{2} + 5 x - 2}{27 x^{2} - 3}$
23573	Simplify	5*5^2	$5 \times 5^{2}$
23574	Solve for θ in Degrees	sin(theta)-sin(2theta)=0	$\sin (θ) - \sin (2 θ) = 0$
23575	Evaluate the Limit	limit as x approaches -2 of (x+3)(2-x)	$lim_{x \to - 2} (x + 3) (2 - x)$
23576	Solve for r	M=pir^2hd ; for r	$M = π r^{2} h d$ ; for $r$
23577	Find the Exact Value	sin(45)^2+cos(30)^2	$\sin^{2} (45) + \cos^{2} (30)$
23578	Add	(2x^2-2x+6)+(11x^3-x^2-2+5x)	$(2 x^{2} - 2 x + 6) + (11 x^{3} - x^{2} - 2 + 5 x)$
23579	Simplify	12+x-2+x+3x	$12 + x - 2 + x + 3 x$
23580	Add	(x^2-3x-5xy)+(6x^2-2xy+x)	$(x^{2} - 3 x - 5 x y) + (6 x^{2} - 2 x y + x)$
23581	Solve for x	(r^(-5x^2-28))(r^9)=(r^(4x^2))/(r^100)	$(r^{- 5 x^{2} - 28}) (r^{9}) = \frac{r^{4 x^{2}}}{r^{100}}$
23582	Subtract	6x^2+10x-1 and -5x^2-2x+1	$6 x^{2} + 10 x - 1$ and $- 5 x^{2} - 2 x + 1$
23583	Graph	y=x^2 , x=y^2	$y = x^{2}$ , $x = y^{2}$
23584	Simplify	(2x cube root of 2)/( cube root of 4x^2)	$\frac{2 x \sqrt[3]{2}}{\sqrt[3]{4 x^{2}}}$
23585	Solve the Function Operation	f(x)=(x^(1/2))/4 ; find f^-1(x)	$f (x) = \frac{x^{\frac{1}{2}}}{4}$ ; find $f^{- 1} (x)$
23586	Simplify	(-2u)(u^2v)(4u^3v^3)	$(- 2 u) (u^{2} v) (4 u^{3} v^{3})$
23587	Solve the Function Operation	f(x) = fifth root of x+4 ; find f^-1(x)	$f (x) = \sqrt[5]{x + 4}$ ; find $f^{- 1} (x)$
23588	Simplify	( fourth root of 16x^5y^4)/(5x^(1/4)y^(5/3))	$\frac{\sqrt[4]{16 x^{5} y^{4}}}{5 x^{\frac{1}{4}} y^{\frac{5}{3}}}$
23589	Simplify	5e+7e-10e+9e	$5 e + 7 e - 10 e + 9 e$
23590	Find Amplitude, Period, and Phase Shift	y=-cos(-x+pi)	$y = - \cos (- x + π)$
23591	Evaluate	(x^5y^2)/(xy^2)	$\frac{x^{5} y^{2}}{x y^{2}}$
23592	Find the Product	(4x-6y^3)^2	${(4 x - 6 y^{3})}^{2}$
23593	Evaluate the Integral	integral of sin(2x)^3cos(2x)^2 with respect to x	$\int \sin^{3} (2 x) \cos^{2} (2 x) d x$
23594	Simplify	((18x^8)/(2x^6))^(1/2)	${(\frac{18 x^{8}}{2 x^{6}})}^{\frac{1}{2}}$
23595	Simplify	(-5x-10x+20)/-5	$\frac{- 5 x - 10 x + 20}{- 5}$
23596	Find the Domain	(2(a-b))/(a(a+b))	$\frac{2 (a - b)}{a (a + b)}$
23597	Find the Product	(p^3)(2p^2-4p)(3p^2-1)	$(p^{3}) (2 p^{2} - 4 p) (3 p^{2} - 1)$
23598	Find the LCM	9x^2-12x+4 and 9x^2-4	$9 x^{2} - 12 x + 4$ and $9 x^{2} - 4$
23599	Subtract	(5x^4-4x^3-3x-4)-(2x-6x^3-2x^4)	$(5 x^{4} - 4 x^{3} - 3 x - 4) - (2 x - 6 x^{3} - 2 x^{4})$
23600	Graph	f(x)=(2x+8)/(3x+12)	$f (x) = \frac{2 x + 8}{3 x + 12}$