Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
30501	Simplify	10x^2-10x-6+x+6	$10 x^{2} - 10 x - 6 + x + 6$
30502	Find the Derivative - d/dx	x^2(-3x^2-2)	$x^{2} (- 3 x^{2} - 2)$
30503	Graph	f'(x)	$f' (x)$
30504	Evaluate	pi/2-1/2	$\frac{π}{2} - \frac{1}{2}$
30505	Solve the System of Equations	y=-2x+5 2x+y=5	$y = - 2 x + 5$ $2 x + y = 5$
30506	Simplify the Radical Expression	(-3+ square root of -27)/3	$\frac{- 3 + \sqrt{- 27}}{3}$
30507	Evaluate the Function	f(1)=2(1)-3	$f (1) = 2 (1) - 3$
30508	Simplify	x+x+x+x+x+x	$x + x + x + x + x + x$
30509	Solve the Function Operation	If f(x)=x^2 and g(x)=3x-1 ; find f(g(x))	If $f (x) = x^{2}$ and $g (x) = 3 x - 1$ ; find $f (g (x))$
30510	Solve for x	4/2x=6	$\frac{4}{2} x = 6$
30511	Solve Using the Square Root Property	4/3(x+1)^2+16=0	$\frac{4}{3} {(x + 1)}^{2} + 16 = 0$
30512	Evaluate the Integral	integral of 5x^3-3/x+1/(2 cube root of x) with respect to x	$\int 5 x^{3} - \frac{3}{x} + \frac{1}{2 \sqrt[3]{x}} d x$
30513	Graph	\|z-1+i\|<3	$\| z - 1 + i \| < 3$
30514	Simplify	( square root of 2x^2- square root of 5)^2	${(\sqrt{2 x^{2}} - \sqrt{5})}^{2}$
30515	Solve the Function Operation	h(x)=5x+2 ; find h(-6)	$h (x) = 5 x + 2$ ; find $h (- 6)$
30516	Find the Parabola with Vertex (0,-4) and Focus (0,1)	vertex at (0,-4) and focus at (0,1)	vertex at $(0, - 4)$ and focus at $(0, 1)$
30517	Simplify	(-2+2)^2	${(- 2 + 2)}^{2}$
30518	Combine Like Terms	(12a^5-6a-10a^3)-(10a-2a^5-14a^4)	$(12 a^{5} - 6 a - 10 a^{3}) - (10 a - 2 a^{5} - 14 a^{4})$
30519	Evaluate	e^(pii)+1	$e^{π i} + 1$
30520	Solve for x	0=x^3	$0 = x^{3}$
30521	Write in Standard Form	x(x^2-x+3)	$x (x^{2} - x + 3)$
30522	Solve the Inequality for x	x^2>=4(x-5)	$x^{2} \geq 4 (x - 5)$
30523	Find the Antiderivative	(2x+3)/(x^2)	$\frac{2 x + 3}{x^{2}}$
30524	Solve the Rational Equation for x	square root of 3x-8+1 = square root of x+5	$\sqrt{3 x - 8} + 1 = \sqrt{x + 5}$
30525	Subtract	(2x^2+3y^2-z^2)-(x^2-y^2-z^2)+(4x^2-3y^2)	$(2 x^{2} + 3 y^{2} - z^{2}) - (x^{2} - y^{2} - z^{2}) + (4 x^{2} - 3 y^{2})$
30526	Write as a Single Logarithm	log base 2 of 27+ log base 2 of 4-2* log base 2 of 3	$\log_{2} (27) + \log_{2} (4) - 2 \cdot \log_{2} (3)$
30527	Evaluate	(x^2-1/x)/(1-1/x)	$\frac{x^{2} - \frac{1}{x}}{1 - \frac{1}{x}}$
30528	Solve for x	-9/4=-5/4x	$- \frac{9}{4} = - \frac{5}{4} x$
30529	Solve for c	x^2-7x+c=(x+a)^2	$x^{2} - 7 x + c = {(x + a)}^{2}$
30530	Find the Exact Value	arcos (( square root of 3)/2)	arcos $(\frac{\sqrt{3}}{2})$
30531	Factor	(x^2-5x-14)/(x^2-49)	$\frac{x^{2} - 5 x - 14}{x^{2} - 49}$
30532	Evaluate	x+4=x^2	$x + 4 = x^{2}$
30533	Solve the Function Operation	h(x)=-3x+1 g(x)=4x+3 Find h(g(x))	$h (x) = - 3 x + 1$ $g (x) = 4 x + 3$ Find $h (g (x))$
30534	Evaluate	(3(4)+6^2)/4	$\frac{3 (4) + 6^{2}}{4}$
30535	Simplify	( cube root of 6x^2y)( cube root of 9xy^5)	$(\sqrt[3]{6 x^{2} y}) (\sqrt[3]{9 x y^{5}})$
30536	Simplify	2x-x/2	$2 x - \frac{x}{2}$
30537	Simplify	(3/3*(x^2-36)/(x-6))÷((x^2+4x-12)/(x-2))	$\frac{3}{3} \cdot \frac{x^{2} - 36}{x - 6} \div \frac{x^{2} + 4 x - 12}{x - 2}$
30538	Simplify	(5x+1)/(x^2-64)-(4x-7)/(x^2-64)	$\frac{5 x + 1}{x^{2} - 64} - \frac{4 x - 7}{x^{2} - 64}$
30539	Simplify	cube root of 2( cube root of 4+ cube root of 12)	$\sqrt[3]{2} (\sqrt[3]{4} + \sqrt[3]{12})$
30540	Solve the Function Operation	let f(x)=5x^2+15x-16 and find f(-4)	let $f (x) = 5 x^{2} + 15 x - 16$ and find $f (- 4)$
30541	Simplify	(4+4 square root of 3i)^6	${(4 + 4 \sqrt{3 i})}^{6}$
30542	Simplify	3/(y+3)+(2y)/(y^2+8x+15)	$\frac{3}{y + 3} + \frac{2 y}{y^{2} + 8 x + 15}$
30543	Multiply	x(7x-1)	$x (7 x - 1)$
30544	Solve for y	-4/7=6/(2y+5)	$\frac{- 4}{7} = \frac{6}{2 y + 5}$
30545	Write in Standard Form	2(x-3)^2=0	$2 {(x - 3)}^{2} = 0$
30546	Find the Domain	(3(3y+2x))/(2x(y+5))	$\frac{3 (3 y + 2 x)}{2 x (y + 5)}$
30547	Evaluate	(4.5*180)/pi	$\frac{4.5 \cdot 180}{π}$
30548	Solve the System of Inequalities	y>3x+2 and y<2x+3	$y > 3 x + 2$ and $y < 2 x + 3$
30549	Solve for F	K=5/9(F+459.67)	$K = \frac{5}{9} (F + 459.67)$
30550	Graph	y>=2/5x+4 y<=2/5x-6	$y \geq \frac{2}{5} x + 4$ $y \leq \frac{2}{5} x - 6$
30551	Evaluate	-1 1/4-(-1/2)	$- 1 \frac{1}{4} - (- \frac{1}{2})$
30552	Graph	y<=0 x<=4	$y \leq 0$ $x \leq 4$
30553	Expand the Logarithmic Expression	log base 6 of (8/5)^4	$\log_{6} ({(\frac{8}{5})}^{4})$
30554	Solve the Inequality for x	2x-1>0	$2 x - 1 > 0$
30555	Find the Slope	(-3,14) and (-2,9)	$(- 3, 14)$ and $(- 2, 9)$
30556	Evaluate	tan(165 degrees )	$\tan (165 °)$
30557	Graph	cos(theta)>0 and tan(theta)<0	$\cos (θ) > 0$ and $\tan (θ) < 0$
30558	Solve the Inequality for y	5<=y+2<=11	$5 \leq y + 2 \leq 11$
30559	Find the Inflection Points	f(x)=x^(1/3)(x^2-2x+1)	$f (x) = x^{\frac{1}{3}} (x^{2} - 2 x + 1)$
30560	Evaluate	x+5<=13	$x + 5 \leq 13$
30561	Solve the System of Inequalities	-3b-5>-8 or b-4<=0	$- 3 b - 5 > - 8$ or $b - 4 \leq 0$
30562	Multiply	-112/3x(-41/5)	$- \frac{112}{3} x (- \frac{41}{5})$
30563	Solve for n	119=6n^2-1	$119 = 6 n^{2} - 1$
30564	Multiply	(x^2-16)/(x^2-4x+4)*(x-2)/(x^2+6x+8)	$\frac{x^{2} - 16}{x^{2} - 4 x + 4} \cdot \frac{x - 2}{x^{2} + 6 x + 8}$
30565	Write in Slope-Intercept Form	(2,-1) and (4,5)	$(2, - 1)$ and $(4, 5)$
30566	Integrate Using Trig Substitution	integral of -1/(4x square root of 4-(2x)^2) with respect to x	$\int \frac{- 1}{4 x \sqrt{4 - {(2 x)}^{2}}} d x$
30567	Evaluate the Integral	integral of (-2x+3x^-3-4) with respect to x	$\int (- 2 x + 3 x^{- 3} - 4) d x$
30568	Evaluate the Limit	limit as x approaches 0 of (sin(3x)-tan(2x))/(5x)	$lim_{x \to 0} \frac{\sin (3 x) - \tan (2 x)}{5 x}$
30569	Evaluate Using the Given Value	3t if t=2	$3 t$ if $t = 2$
30570	Integrate Using u-Substitution	integral of 1/(4+x^2) with respect to x	$\int \frac{1}{4 + x^{2}} d x$
30571	Find the Tangent of the Angle	(11pi)/6	$\frac{11 π}{6}$
30572	Evaluate	1*2^-2	$1 \cdot 2^{- 2}$
30573	Find the Distance Between Two Points	P_1=(5,310 degrees ) , P_2=(6,345 degrees )	$P_{1} = (5, 310 °)$ , $P_{2} = (6, 345 °)$
30574	Simplify	((y^5z)^(1/10))/(y^(-1/2)z^(1/5))	$\frac{{(y^{5} z)}^{\frac{1}{10}}}{y^{- \frac{1}{2}} z^{\frac{1}{5}}}$
30575	Solve the System of Equations	2x+y-10=0 x-y-4=0	$2 x + y - 10 = 0$ $x - y - 4 = 0$
30576	Simplify	((-2x)/(x-y))/(y/(x^2))	$\frac{\frac{- 2 x}{x - y}}{\frac{y}{x^{2}}}$
30577	Solve for n	n+11-n=21	$n + 11 - n = 21$
30578	Multiply	10/9*3/2	$\frac{10}{9} \cdot \frac{3}{2}$
30579	Simplify the Radical Expression	-(-6)^5	$- {(- 6)}^{5}$
30580	Find the Product	(4r^0)^4	${(4 r^{0})}^{4}$
30581	Find the Perfect Square Trinomial	(x+3y)^2	${(x + 3 y)}^{2}$
30582	Find the Integral	x^2e^xdx	$x^{2} e^{x} d x$
30583	Solve for x	0=4x^3-4x	$0 = 4 x^{3} - 4 x$
30584	Simplify	cube root of (p^5q^3)/40	$\sqrt[3]{\frac{p^{5} q^{3}}{40}}$
30585	Find the Exact Value	(8^2-48)/(2^3)	$\frac{(8^{2} - 48)}{2^{3}}$
30586	Simplify	( fourth root of 16x^3y^3)/(2xy)	$\frac{\sqrt[4]{16 x^{3} y^{3}}}{2 x y}$
30587	Simplify	3x square root of 25x-9x square root of 4x-3x square root of x	$3 x \sqrt{25 x} - 9 x \sqrt{4 x} - 3 x \sqrt{x}$
30588	Find the Percentage Rate of Change	y=(0.98)^x	$y = {(0.98)}^{x}$
30589	Find the Reference Angle	tan((7pi)/4)	$\tan (\frac{7 π}{4})$
30590	Evaluate	(5*2^4)÷8	$5 \cdot 2^{4} \div 8$
30591	Evaluate	cos(theta)=3/5	$\cos (θ) = \frac{3}{5}$
30592	Evaluate the Function	f(x)=2x^2 at x=1	$f (x) = 2 x^{2}$ at $x = 1$
30593	Find the Holes in the Graph	f(x)=((x-3)(x-6)(x+4))/((x-3)^2(x-6)(x-8))	$f (x) = \frac{(x - 3) (x - 6) (x + 4)}{{(x - 3)}^{2} (x - 6) (x - 8)}$
30594	Simplify	((5x^2+4x-1)/(2x+6))÷((x^2-1)/(x^2+2x-3))	$\frac{5 x^{2} + 4 x - 1}{2 x + 6} \div \frac{x^{2} - 1}{x^{2} + 2 x - 3}$
30595	Graph	y<8 y>=3	$y < 8$ $y \geq 3$
30596	Solve for x	2x^2-20x=x^2-19	$2 x^{2} - 20 x = x^{2} - 19$
30597	Solve for x	fourth root of x-1+2=0	$\sqrt[4]{x - 1} + 2 = 0$
30598	Simplify	2y square root of 8y^3-y^2 square root of 50y+3 square root of 2y^5	$2 y \sqrt{8 y^{3}} - y^{2} \sqrt{50 y} + 3 \sqrt{2 y^{5}}$
30599	Solve for x	e^(x/2+1)+3=8	$e^{\frac{x}{2} + 1} + 3 = 8$
30600	Graph	y>=-3x+1 y<=1/2x+3	$y \geq - 3 x + 1$ $y \leq \frac{1}{2} x + 3$