Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
176501	Simplify	i(1-i)	$i (1 - i)$
176502	Simplify	(5x^4-y^4)^2	${(5 x^{4} - y^{4})}^{2}$
176503	Evaluate	1/(infinity^2)	$\frac{1}{\infty^{2}}$
176504	Evaluate the Function	f(2)=2	$f (2) = 2$
176505	Simplify the Radical Expression	square root of 2/9	$\sqrt{\frac{2}{9}}$
176506	Find the Midpoint	(-7,-10) and (-2,-7)	$(- 7, - 10)$ and $(- 2, - 7)$
176507	Solve for s	s=180(n-2)	$s = 180 (n - 2)$
176508	Solve the Inequality for x	-5(-4+4x)>38-2x	$- 5 (- 4 + 4 x) > 38 - 2 x$
176509	Evaluate	(3x)^-2	${(3 x)}^{- 2}$
176510	Expand the Logarithmic Expression	log of (x^2z^4)/( square root of y^5)	$\log (\frac{x^{2} z^{4}}{\sqrt{y^{5}}})$
176511	Find the Roots (Zeros)	p(x)=(x-1)(x+3)(2x+1)	$p (x) = (x - 1) (x + 3) (2 x + 1)$
176512	Graph	y=1/2 cube root of x+3	$y = \frac{1}{2} \sqrt[3]{x + 3}$
176513	Solve the Inequality for x	-1/5x>-10	$- \frac{1}{5} x > - 10$
176514	Solve by Substitution	3x+y=19 -6x-5=y	$3 x + y = 19$ $- 6 x - 5 = y$
176515	Solve for x	q(x)=1/2x-3 , q(x)=-4	$q (x) = \frac{1}{2} x - 3$ , $q (x) = - 4$
176516	Graph	f(x)=2(x+1)(x^2-9)	$f (x) = 2 (x + 1) (x^{2} - 9)$
176517	Simplify	7x^3y^2 square root of 9x^7y^7	$7 x^{3} y^{2} \sqrt{9 x^{7} y^{7}}$
176518	Solve the Inequality for x	x+7>=18	$x + 7 \geq 18$
176519	Solve the Absolute Value Inequality for a	\|2a-10\|=6	$\| 2 a - 10 \| = 6$
176520	Find the Inverse	f(x)=(x+9)^(1/2)	$f (x) = {(x + 9)}^{\frac{1}{2}}$
176521	Graph	y=3*7^(-x)+2	$y = 3 \cdot 7^{- x} + 2$
176522	Solve the Inequality for x	(x-2)/(x+4)<=0	$\frac{x - 2}{x + 4} \leq 0$
176523	Find the Roots (Zeros)	1/x-x/6=2/3	$\frac{1}{x} - \frac{x}{6} = \frac{2}{3}$
176524	Simplify	-2i*(2+6i)	$- 2 i \cdot (2 + 6 i)$
176525	Solve for v	4^(2v)=64	$4^{2 v} = 64$
176526	Evaluate	(3pi)/2*1/2	$\frac{3 π}{2} \cdot \frac{1}{2}$
176527	Solve for x	7+4x=13+x	$7 + 4 x = 13 + x$
176528	Evaluate	(5^4*b^-10)^-6	${(5^{4} \cdot b^{- 10})}^{- 6}$
176529	Solve for x	log base 3 of 3x^2+ log base 3 of 3=2	$\log_{3} (3 x^{2}) + \log_{3} (3) = 2$
176530	Write in Standard Form	square root of -36- square root of -25	$\sqrt{- 36} - \sqrt{- 25}$
176531	Find the x and y Intercepts	y=(x^2+5x)/(x^2+7x+10)	$y = \frac{x^{2} + 5 x}{x^{2} + 7 x + 10}$
176532	Find g(f(x))	f(x)=x+2 g(x)=x+2	$f (x) = x + 2$ $g (x) = x + 2$
176533	Simplify	(x^5-12x^4+27x^3)/(x+6)*(2x^2-72)/(6x^2-90x+324)	$\frac{x^{5} - 12 x^{4} + 27 x^{3}}{x + 6} \cdot \frac{2 x^{2} - 72}{6 x^{2} - 90 x + 324}$
176534	Graph	f(x)=(x^3-16x)/(3x^2-12)	$f (x) = \frac{x^{3} - 16 x}{3 x^{2} - 12}$
176535	Find the Inverse	f(x)=( fifth root of x)/5	$f (x) = \frac{\sqrt[5]{x}}{5}$
176536	Solve for x	x/(x-4)+2/(x+3)=16/(x^2-x-12)	$\frac{x}{x - 4} + \frac{2}{x + 3} = \frac{16}{x^{2} - x - 12}$
176537	Graph	f(x)=x^5-x^4+x^2+7	$f (x) = x^{5} - x^{4} + x^{2} + 7$
176538	Find the Holes in the Graph	f(x)=(x^2+12x+35)/(x-1)	$f (x) = \frac{x^{2} + 12 x + 35}{x - 1}$
176539	Evaluate	1/3(3/4e-12)+3e=6-1/2e	$\frac{1}{3} (\frac{3}{4} e - 12) + 3 e = 6 - \frac{1}{2} e$
176540	Find the Exact Value	-\|-5\|	$- \| - 5 \|$
176541	Find the Exact Value	(-64)^(2/3)	${(- 64)}^{\frac{2}{3}}$
176542	Convert to a Simplified Fraction	4/12	$\frac{4}{12}$
176543	Solve the Inequality for k	7k-2>=-9	$7 k - 2 \geq - 9$
176544	Simplify	- square root of 9- square root of -2- square root of 121- square root of -2	$- \sqrt{9} - \sqrt{- 2} - \sqrt{121} - \sqrt{- 2}$
176545	Solve the Absolute Value Inequality for f	\|f-6\|=\|f+8\|	$\| f - 6 \| = \| f + 8 \|$
176546	Simplify	x+-x	$x + - x$
176547	Solve for θ	2sin(theta) = square root of 3	$2 \sin (θ) = \sqrt{3}$
176548	Solve for x	30x-25=9x^2	$30 x - 25 = 9 x^{2}$
176549	Simplify	(5/3-2/3i)^2	${(\frac{5}{3} - \frac{2}{3} i)}^{2}$
176550	Graph	(-1/2,( square root of 3)/2)	$(- \frac{1}{2}, \frac{\sqrt{3}}{2})$
176551	Find the Function	g(r)=25-3r	$g (r) = 25 - 3 r$
176552	Find the Exact Value	tan(750 degrees )	$\tan (750 °)$
176553	Simplify	3/4*2	$\frac{3}{4} \cdot 2$
176554	Simplify	- square root of 4+ square root of -147+ square root of 9+ square root of -27	$- \sqrt{4} + \sqrt{- 147} + \sqrt{9} + \sqrt{- 27}$
176555	Solve the Inequality for x	x/-4>-4	$\frac{x}{- 4} > - 4$
176556	Solve the System of Inequalities	5x-2<18 or 58>=5x-2	$5 x - 2 < 18$ or $58 \geq 5 x - 2$
176557	Simplify	(x-4)*(-2x^2-3x+4)	$(x - 4) \cdot (- 2 x^{2} - 3 x + 4)$
176558	Find the Point-Slope Form	y=4x	$y = 4 x$
176559	Graph	f(x)=3+ square root of x	$f (x) = 3 + \sqrt{x}$
176560	Multiply	(4a^2-7ab)(2a^3b)	$(4 a^{2} - 7 a b) (2 a^{3} b)$
176561	Simplify	(3/(x-2)-6/(x^2-4))/(3/(x+2)+1/(x-2))	$\frac{\frac{3}{x - 2} - \frac{6}{x^{2} - 4}}{\frac{3}{x + 2} + \frac{1}{x - 2}}$
176562	Evaluate	x(x+2)	$x (x + 2)$
176563	Factor	p(x)=x^3+2x^2+x+2	$p (x) = x^{3} + 2 x^{2} + x + 2$
176564	Solve the Inequality for x	5/8x-1>=9	$\frac{5}{8} x - 1 \geq 9$
176565	Solve the Inequality for v	-1<=(v-2)/21	$- 1 \leq \frac{v - 2}{21}$
176566	Solve for x	18-2(x+7)=(8x-20)/2-2	$18 - 2 (x + 7) = \frac{8 x - 20}{2} - 2$
176567	Find the Exact Value	25^(1/2)	$25^{\frac{1}{2}}$
176568	Evaluate	sin(2)(pi/4)	$\sin (2) (\frac{π}{4})$
176569	Solve for g	-g/24=5/12	$- \frac{g}{24} = \frac{5}{12}$
176570	Find the Equation Using Two Points	(2,-1) and (3,2)	$(2, - 1)$ and $(3, 2)$
176571	Simplify	(4(20+12))÷(5-3)	$4 (20 + 12) \div (5 - 3)$
176572	Divide	(25a^3b+15ab^3)/(5ab)	$\frac{25 a^{3} b + 15 a b^{3}}{5 a b}$
176573	Find the Holes in the Graph	f(x)=(x^2-16)/(x+4)	$f (x) = \frac{x^{2} - 16}{x + 4}$
176574	Solve the System of Equations	2x+3y=18 -9y+z=-23 5x-4z=50	$2 x + 3 y = 18$ $- 9 y + z = - 23$ $5 x - 4 z = 50$
176575	Solve for k	3/4k-3=-2k+3/2(2-2/3k)	$\frac{3}{4} k - 3 = - 2 k + \frac{3}{2} (2 - \frac{2}{3} k)$
176576	Write in Standard Form	(3x-2)(x^2-2x+1)	$(3 x - 2) (x^{2} - 2 x + 1)$
176577	Simplify	(1+i)(2+3i)(4-3i)	$(1 + i) (2 + 3 i) (4 - 3 i)$
176578	Simplify	(x square root of y)/(y square root of x)	$\frac{x \sqrt{y}}{y \sqrt{x}}$
176579	Simplify	-9i*(6i+8)	$- 9 i \cdot (6 i + 8)$
176580	Solve for θ	tan(theta)=2sin(theta)	$\tan (θ) = 2 \sin (θ)$
176581	Solve the System of Inequalities	38<-5x-7 or -57<-5x-7	$38 < - 5 x - 7$ or $- 57 < - 5 x - 7$
176582	Evaluate	(2x^3)^2	${(2 x^{3})}^{2}$
176583	Graph	y=-2x+1,x>1; -x+2,x<=1	$y = {\begin{cases} - 2 x + 1, x > 1 \\ - x + 2, x \leq 1 \end{cases}$
176584	Solve by Substitution	y=-4x y=-5x+5	$y = - 4 x$ $y = - 5 x + 5$
176585	Solve for x	7/12x-4/5x-1/3x=-1/4	$\frac{7}{12} x - \frac{4}{5} x - \frac{1}{3} x = - \frac{1}{4}$
176586	Graph	y<=-3x-1 y>x-5	$y \leq - 3 x - 1$ $y > x - 5$
176587	Solve for x	\|3(x-2)\|=12	$\| 3 (x - 2) \| = 12$
176588	Graph	y>1/2x+3 y>=-2x-2	$y > \frac{1}{2} x + 3$ $y \geq - 2 x - 2$
176589	Find the Product	(3x-y)^2	${(3 x - y)}^{2}$
176590	Solve for x	(x-40/x)^2-3(x-40/x)-18=0	${(x - \frac{40}{x})}^{2} - 3 (x - \frac{40}{x}) - 18 = 0$
176591	Solve the Inequality for v	(au)/2-(bv)/3>10	$\frac{a u}{2} - \frac{b v}{3} > 10$
176592	Multiply	(x^2)/9*3/x	$\frac{x^{2}}{9} \cdot \frac{3}{x}$
176593	Graph	y<-1/2x+1 y<=x-2	$y < - \frac{1}{2} x + 1$ $y \leq x - 2$
176594	Find the x and y Intercepts	f(x)=(x^2+3x+2)/(-4x-16)	$f (x) = \frac{x^{2} + 3 x + 2}{- 4 x - 16}$
176595	Solve for x	236=250(1.085)^(x+1)-144	$236 = 250 {(1.085)}^{x + 1} - 144$
176596	Simplify	(3x^2-27)/(x^2+6x+9)+(2x-4)/(x^2+x-6)	$\frac{3 x^{2} - 27}{x^{2} + 6 x + 9} + \frac{2 x - 4}{x^{2} + x - 6}$
176597	Evaluate	log of 2t+4 = log of 14-3t	$\log (2 t + 4) = \log (14 - 3 t)$
176598	Solve for n	-14=-11+n/5	$- 14 = - 11 + \frac{n}{5}$
176599	Solve for y₁	y-y_1=m(x-x_1)	$y - y_{1} = m (x - x_{1})$
176600	Factor	49+76n^2+64n^4	$49 + 76 n^{2} + 64 n^{4}$