Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
193501	Evaluate	square root of 1+2	$\sqrt{1} + 2$
193502	Graph	y=x^3-2,x<1; x^2+4,x>=1	$y = {\begin{cases} x^{3} - 2, x < 1 \\ x^{2} + 4, x \geq 1 \end{cases}$
193503	Factor	e^(2x)-1	$e^{2 x} - 1$
193504	Solve the System of Equations	-x+y=4 x+3y=4	$- x + y = 4$ $x + 3 y = 4$
193505	Find the Domain and Range	y=2+(x^2)/(x^2+4)	$y = 2 + \frac{x^{2}}{x^{2} + 4}$
193506	Factor	R(x)=(x^2+4x-32)/(x^2-2x-8)	$R (x) = \frac{x^{2} + 4 x - 32}{x^{2} - 2 x - 8}$
193507	Find the Exact Value	2^2*2^3	$2^{2} \cdot 2^{3}$
193508	Simplify	(-2y)/(2y^2+5y)+(y-3)/(2y^2+y-10)	$\frac{- 2 y}{2 y^{2} + 5 y} + \frac{y - 3}{2 y^{2} + y - 10}$
193509	Solve for a	x=(-b+ square root of b^2-4ac)/(2a)	$x = \frac{- b + \sqrt{b^{2} - 4 a c}}{2 a}$
193510	Multiply	(2a^2b)/(b^2c)*b/a	$\frac{2 a^{2} b}{b^{2} c} \cdot \frac{b}{a}$
193511	Simplify	(-20(m^2v)(-v)^3)/(5(-v)^2(-m^4))	$\frac{- 20 (m^{2} v) {(- v)}^{3}}{5 {(- v)}^{2} (- m^{4})}$
193512	Find All Complex Solutions	7(2m+3)-5m=2(4m+8)+9	$7 (2 m + 3) - 5 m = 2 (4 m + 8) + 9$
193513	Solve for x	2vx-2gt=6	$2 v x - 2 g t = 6$
193514	Solve the Inequality for x	(x+2)/(x+3)<=0	$\frac{x + 2}{x + 3} \leq 0$
193515	Solve the System of Equations	10x+7y-2z=46 3x-2y+9z=22 5x+y-3z=28	$10 x + 7 y - 2 z = 46$ $3 x - 2 y + 9 z = 22$ $5 x + y - 3 z = 28$
193516	Find All Complex Solutions	tan(theta) = square root of 2sin(theta)	$\tan (θ) = \sqrt{2} \sin (θ)$
193517	Graph Using a Table of Values	(3/2)^x	${(\frac{3}{2})}^{x}$
193518	Graph	y=1/2cot(pix)	$y = \frac{1}{2} \cot (π x)$
193519	Solve for x	1/5(3x-0.5)+1/6=x/5+0.5	$\frac{1}{5} (3 x - 0.5) + \frac{1}{6} = \frac{x}{5} + 0.5$
193520	Solve the Inequality for s	2.75+11.50s<=55	$2.75 + 11.5 s \leq 55$
193521	Simplify	( square root of 2bc)/( square root of 3)	$\frac{\sqrt{2 b c}}{\sqrt{3}}$
193522	Find All Complex Solutions	81^x=3	$81^{x} = 3$
193523	Solve for y	(x-2)/y=z	$\frac{x - 2}{y} = z$
193524	Solve for x	-x-1/2x=9	$- x - \frac{1}{2} x = 9$
193525	Solve for m	-3(3m-10)-7=-5(m+1)+3m	$- 3 (3 m - 10) - 7 = - 5 (m + 1) + 3 m$
193526	Solve the System of Equations	4p-2t=6 8p+6t=12+2t	$4 p - 2 t = 6$ $8 p + 6 t = 12 + 2 t$
193527	Evaluate	(g*f)(-1)	$(g \cdot f) (- 1)$
193528	Factor	1/(x^2-1)	$\frac{1}{x^{2} - 1}$
193529	Graph	-6<=g(x)<3	$- 6 \leq g (x) < 3$
193530	Find the x and y Intercepts	f(x)=-x^4+x^3-6x^2+8x-16	$f (x) = - x^{4} + x^{3} - 6 x^{2} + 8 x - 16$
193531	Combine Like Terms	(-4x^2+3x+3)-(4x^2+9)	$(- 4 x^{2} + 3 x + 3) - (4 x^{2} + 9)$
193532	Solve for x	-12+8yi=3x-i	$- 12 + 8 y i = 3 x - i$
193533	Solve for x	(2x-8)^(2/3)=4	${(2 x - 8)}^{\frac{2}{3}} = 4$
193534	Evaluate	1/2(4)^2-4	$\frac{1}{2} {(4)}^{2} - 4$
193535	Simplify	x^2+1/x	$x^{2} + \frac{1}{x}$
193536	Solve for z	-10>=-2z	$- 10 \geq - 2 z$
193537	Solve the Rational Equation for x	(5+3x)/10-(2(x-1))/8=1	$\frac{5 + 3 x}{10} - \frac{2 (x - 1)}{8} = 1$
193538	Simplify	-5y^25y^25y^2*5y^2	$- 5 y^{2} \cdot 5 y^{2} \cdot 5 y^{2} \cdot 5 y^{2}$
193539	Solve for x	(2x)/(x-1)+(x-5)/(x^2-1)=1	$\frac{2 x}{x - 1} + \frac{x - 5}{x^{2} - 1} = 1$
193540	Simplify	( square root of -36)/(- square root of 4)	$\frac{\sqrt{- 36}}{- \sqrt{4}}$
193541	Solve for q	8q-7=7q-10	$8 q - 7 = 7 q - 10$
193542	Solve for θ	tan(theta)^2=3/2sec(theta)	$\tan^{2} (θ) = \frac{3}{2} \sec (θ)$
193543	Solve for x	-4+2x=0	$- 4 + 2 x = 0$
193544	Evaluate	(4t-8/5)-(3-4/3t)	$(4 t - \frac{8}{5}) - (3 - \frac{4}{3} t)$
193545	Solve for x	z=(8+x)k	$z = (8 + x) k$
193546	Solve for c	ab+cd=ef	$a b + c d = e f$
193547	Find the Exact Value	sin(pi/6)cos((7pi)/12)+cos(pi/6)sin((7pi)/12)	$\sin (\frac{π}{6}) \cos (\frac{7 π}{12}) + \cos (\frac{π}{6}) \sin (\frac{7 π}{12})$
193548	Find the Domain and Range	g(x)=- square root of x^2+9	$g (x) = - \sqrt{x^{2} + 9}$
193549	Graph	f(x)=-x,x<0; 1,x>=0	$f (x) = {\begin{cases} - x, x < 0 \\ 1, x \geq 0 \end{cases}$
193550	Simplify	(-3y)(-4x^2y^3)^3	$(- 3 y) {(- 4 x^{2} y^{3})}^{3}$
193551	Solve the Inequality for x	x^2+x-56<=0	$x^{2} + x - 56 \leq 0$
193552	Simplify	-7/9-5/10	$- \frac{7}{9} - \frac{5}{10}$
193553	Find All Complex Solutions	-5/(x(x-1))=(x+5)/x	$- \frac{5}{x (x - 1)} = \frac{x + 5}{x}$
193554	Solve for x	(6x)/7+x/7=-2	$\frac{6 x}{7} + \frac{x}{7} = - 2$
193555	Simplify	(1/x)÷(2/x)	$\frac{1}{x} \div \frac{2}{x}$
193556	Factor	4x^3-3x-1	$4 x^{3} - 3 x - 1$
193557	Write in Standard Form	4x-9y-7=4	$4 x - 9 y - 7 = 4$
193558	Factor	49x^2y^6z^10-a^12	$49 x^{2} y^{6} z^{10} - a^{12}$
193559	Find the Product	y^4*y^3	$y^{4} \cdot y^{3}$
193560	Solve the Inequality for x	-1<\|2x-3\|<7	$- 1 < \| 2 x - 3 \| < 7$
193561	Find h(k(x))	h(x) = square root of x+3 and k(x)=2x+7	$h (x) = \sqrt{x + 3}$ and $k (x) = 2 x + 7$
193562	Evaluate	arccos((- square root of 3)/2)	$\arccos (\frac{- \sqrt{3}}{2})$
193563	Solve for x	(x+7)/12+5/4=3x-4	$\frac{x + 7}{12} + \frac{5}{4} = 3 x - 4$
193564	Determine if Parallel	2x+y=1 and 2y+4x=2	$2 x + y = 1$ and $2 y + 4 x = 2$
193565	Write in Slope-Intercept Form	x+y<=4	$x + y \leq 4$
193566	Simplify	1/3(15x-9)+1/5(25x+5)	$\frac{1}{3} (15 x - 9) + \frac{1}{5} (25 x + 5)$
193567	Solve for θ	tan(theta)=(2 square root of 3)/3sin(theta)	$\tan (θ) = \frac{2 \sqrt{3}}{3} \sin (θ)$
193568	Solve for x	(x+1)^(2/3)=(9x+1)^(1/3)	${(x + 1)}^{\frac{2}{3}} = {(9 x + 1)}^{\frac{1}{3}}$
193569	Solve the Absolute Value Inequality for w	(\|5+3w\|)/-2<=-1	$\frac{\| 5 + 3 w \|}{- 2} \leq - 1$
193570	Find the End Behavior	f(x)=-8x^5-1808x^2+80x^4+7680+72x^3+704x	$f (x) = - 8 x^{5} - 1808 x^{2} + 80 x^{4} + 7680 + 72 x^{3} + 704 x$
193571	Solve for x	-2>=x/5	$- 2 \geq \frac{x}{5}$
193572	Find the Equation Using Slope-Intercept Form	m=4/15 ; passes through (5,7)	$m = \frac{4}{15}$ ; passes through $(5, 7)$
193573	Simplify	-2x^-3y(5yx^5+8xy-4y^2x^2)	$- 2 x^{- 3} y (5 y x^{5} + 8 x y - 4 y^{2} x^{2})$
193574	Graph	(0,pi)	$(0, π)$
193575	Write in Standard Form	(x-3i)(x+3i)	$(x - 3 i) (x + 3 i)$
193576	Solve the Inequality for x	x^3+x^2+49x+49<0	$x^{3} + x^{2} + 49 x + 49 < 0$
193577	Combine Like Terms	(-5x^2-4x-1)+(-4x^2-4x)	$(- 5 x^{2} - 4 x - 1) + (- 4 x^{2} - 4 x)$
193578	Solve for x	(-4x+5)-(6x+7)=0	$(- 4 x + 5) - (6 x + 7) = 0$
193579	Graph	sin(theta)>0 , tan(theta)>0	$\sin (θ) > 0$ , $\tan (θ) > 0$
193580	Find the Excluded Values	2/(5x)+1/4=39/(10x)-1/3	$\frac{2}{5 x} + \frac{1}{4} = \frac{39}{10 x} - \frac{1}{3}$
193581	Evaluate	h(3)=-16x^2+200	$h (3) = - 16 x^{2} + 200$
193582	Simplify	(2/(3x)-1/(4y))^2	${(\frac{2}{3 x} - \frac{1}{4 y})}^{2}$
193583	Simplify	(-6+ square root of 18)/(2(2))	$\frac{- 6 + \sqrt{18}}{2 (2)}$
193584	Simplify	(x*4^8)/(4^5)	$\frac{x \cdot 4^{8}}{4^{5}}$
193585	Solve the Inequality for u	10>(5u)/4>15/2	$10 > \frac{5 u}{4} > \frac{15}{2}$
193586	Solve the Inequality for x	102>6x+3(4-8x)	$102 > 6 x + 3 (4 - 8 x)$
193587	Solve the Rational Equation for x	(x-3)/2=(x+1)/3	$\frac{x - 3}{2} = \frac{x + 1}{3}$
193588	Simplify	( square root of 5)/(5+ square root of 2)	$\frac{\sqrt{5}}{5 + \sqrt{2}}$
193589	Solve for x	\|2x+4\|-\|3-x\|=-1	$\| 2 x + 4 \| - \| 3 - x \| = - 1$
193590	Convert to Interval Notation	x>9 or x<-2	$x > 9$ or $x < - 2$
193591	Solve for k	4k+3=1/4(8k+16)	$4 k + 3 = \frac{1}{4} (8 k + 16)$
193592	Simplify	(cos(x)^2-sin(x)^2)/(cos(x)-sin(x))	$\frac{\cos^{2} (x) - \sin^{2} (x)}{\cos (x) - \sin (x)}$
193593	Solve the Inequality for x	10^(4x+1)>100^(x-2)	$10^{4 x + 1} > 100^{x - 2}$
193594	Solve the Inequality for t	3/10(t+2)-t/20>=3/5	$\frac{3}{10} (t + 2) - \frac{t}{20} \geq \frac{3}{5}$
193595	Solve the Inequality for m	m-4<3	$m - 4 < 3$
193596	Solve for a	\|-a+2\|+9=6	$\| - a + 2 \| + 9 = 6$
193597	Solve the Inequality for x	x(x+12)>(x-4)^2	$x (x + 12) > {(x - 4)}^{2}$
193598	Evaluate	2/((-5/x)^2-3)	$\frac{2}{{(- \frac{5}{x})}^{2} - 3}$
193599	Solve for t	-2(t+7)=-4t+12	$- 2 (t + 7) = - 4 t + 12$
193600	Evaluate	sin(360 degrees )	$\sin (360 °)$