Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
171701	Evaluate	(1/3)^(-2/5)*96^(-2/5)	${(\frac{1}{3})}^{- \frac{2}{5}} \cdot 96^{- \frac{2}{5}}$
171702	Simplify	2x+(-5x-(-2y+(-x+y)))	$2 x + (- 5 x - (- 2 y + (- x + y)))$
171703	Solve the Inequality for n	n-9<4	$n - 9 < 4$
171704	Solve for y	(12y-1)/2=(9y+8)/5	$\frac{12 y - 1}{2} = \frac{9 y + 8}{5}$
171705	Convert to Polar	x^2+y^2-2x=0	$x^{2} + y^{2} - 2 x = 0$
171706	Simplify	(3+ square root of -5)(7- square root of -10)	$(3 + \sqrt{- 5}) (7 - \sqrt{- 10})$
171707	Subtract	(2m^2+10m+1) from (-8m^2-8m+12)	$(2 m^{2} + 10 m + 1)$ from $(- 8 m^{2} - 8 m + 12)$
171708	Solve for x	3^(x^2+5x)=9^-3	$3^{x^{2} + 5 x} = 9^{- 3}$
171709	Solve for x	log base 5 of 3x+3 log base 5 of 3=5	$\log_{5} (3 x) + 3 \log_{5} (3) = 5$
171710	Solve the Inequality for f	f+8<=12	$f + 8 \leq 12$
171711	Solve the Inequality for x	(1/10)^(x+5)>=(1/100)^(3x)	${(\frac{1}{10})}^{x + 5} \geq {(\frac{1}{100})}^{3 x}$
171712	Find the Roots (Zeros)	P(x)=-2(x-3)(x-11)	$P (x) = - 2 (x - 3) (x - 11)$
171713	Simplify	(2x+1)/x+3/(x^2)	$\frac{2 x + 1}{x} + \frac{3}{x^{2}}$
171714	Solve for m	9(m+5)-3(m-2)=8m+31	$9 (m + 5) - 3 (m - 2) = 8 m + 31$
171715	Simplify	2/(1+ square root of 5)	$\frac{2}{1 + \sqrt{5}}$
171716	Solve for x	(2x-1)/(x+2)=(2x+5)/(x+3)	$\frac{2 x - 1}{x + 2} = \frac{2 x + 5}{x + 3}$
171717	Solve for θ	4cos(theta)^2=2	$4 \cos^{2} (θ) = 2$
171718	Solve for z	100(z-0.2)=-10(5z+0.8)	$100 (z - 0.2) = - 10 (5 z + 0.8)$
171719	Simplify	(-5m^-5)/(-3(m^-5)^4)	$\frac{- 5 m^{- 5}}{- 3 {(m^{- 5})}^{4}}$
171720	Solve the Absolute Value Inequality for x	\|x-8\|>4	$\| x - 8 \| > 4$
171721	Factor	(a+b-1)(a^2+1)-a^2-1	$(a + b - 1) (a^{2} + 1) - a^{2} - 1$
171722	Simplify	(2y)/(y^2-5y)-(-3y)/(y-5)	$\frac{2 y}{y^{2} - 5 y} - \frac{- 3 y}{y - 5}$
171723	Graph Using a Table of Values	y=x^3+1	$y = x^{3} + 1$
171724	Simplify	(-7)^(5/3)*(1/56)^(5/3)	${(- 7)}^{\frac{5}{3}} \cdot {(\frac{1}{56})}^{\frac{5}{3}}$
171725	Graph	g(x)=-5f(x)	$g (x) = - 5 f (x)$
171726	Solve for x	y = cube root of x-2	$y = \sqrt[3]{x - 2}$
171727	Simplify	(5+i)/(3i)	$\frac{5 + i}{3 i}$
171728	Solve for x	cos(x)=-sin(x)^2-1	$\cos (x) = - \sin^{2} (x) - 1$
171729	Solve the Inequality for x	-2(8x-4)<2x+5	$- 2 (8 x - 4) < 2 x + 5$
171730	Simplify	5(3x^2+9x)-14	$5 (3 x^{2} + 9 x) - 14$
171731	Divide	(4/7)÷(2/3)	$\frac{4}{7} \div \frac{2}{3}$
171732	Divide	((a-b)/(a+b))÷(b/a)	$\frac{a - b}{a + b} \div \frac{b}{a}$
171733	Solve by Substitution	y=-x^2+2x+10 y=x+4	$y = - x^{2} + 2 x + 10$ $y = x + 4$
171734	Solve for m	y=3x^2+7x+m	$y = 3 x^{2} + 7 x + m$
171735	Evaluate	(x^2)/(x^2)	$\frac{x^{2}}{x^{2}}$
171736	Evaluate	square root of 8^2-425	$\sqrt{8^{2} - 4 \cdot 2 \cdot 5}$
171737	Simplify	(3pq^4)^2(6p^6q)^2	${(3 p q^{4})}^{2} {(6 p^{6} q)}^{2}$
171738	Simplify	((2k^5)^-3)/(2j^5k^3)	$\frac{{(2 k^{5})}^{- 3}}{2 j^{5} k^{3}}$
171739	Solve for x	30kx-6kx=8 for x	$30 k x - 6 k x = 8$ for $x$
171740	Simplify	((2p^-1)^5)/(6j^-8p^-8)	$\frac{{(2 p^{- 1})}^{5}}{6 j^{- 8} p^{- 8}}$
171741	Solve for x	4(x-1)=1/2(x-8)	$4 (x - 1) = \frac{1}{2} (x - 8)$
171742	Factor	(x^3-y^3)	$(x^{3} - y^{3})$
171743	Find the Roots (Zeros)	P(x)=3x^4+4x-8	$P (x) = 3 x^{4} + 4 x - 8$
171744	Solve the Inequality for x	(x^2+1)/(5x+11)<=0	$\frac{x^{2} + 1}{5 x + 11} \leq 0$
171745	Solve the Inequality for x	(3x+1)/(x-1)>=2	$\frac{3 x + 1}{x - 1} \geq 2$
171746	Simplify	((-8x^3y^2)^2*2x^2y^6)/(32x^8y^3)	$\frac{{(- 8 x^{3} y^{2})}^{2} \cdot 2 x^{2} y^{6}}{32 x^{8} y^{3}}$
171747	Solve the System of Equations	-x+y=-3 3x+2y=9	$- x + y = - 3$ $3 x + 2 y = 9$
171748	Simplify	(x+2)/x-(x+3)	$\frac{x + 2}{x} - (x + 3)$
171749	Find the Exact Value	(2/3)^5*(2/3)^3	${(\frac{2}{3})}^{5} \cdot {(\frac{2}{3})}^{3}$
171750	Solve for n	5^n=5^11*5^3	$5^{n} = 5^{11} \cdot 5^{3}$
171751	Solve for k	19-2k=3k-1	$19 - 2 k = 3 k - 1$
171752	Solve for x	4g+r=2r-2x	$4 g + r = 2 r - 2 x$
171753	Solve for x	8+6x-10x=16-8x	$8 + 6 x - 10 x = 16 - 8 x$
171754	Solve the Absolute Value Inequality for n	\|4n-15\|=\|n\|	$\| 4 n - 15 \| = \| n \|$
171755	Solve for x	-8-x=-3(2x-4)+3x	$- 8 - x = - 3 (2 x - 4) + 3 x$
171756	Find the x and y Intercepts	2	$2$
171757	Solve for w	a=2lw+2wh+2hl	$a = 2 l w + 2 w h + 2 h l$
171758	Solve the Inequality for x	3+x>-7	$3 + x > - 7$
171759	Simplify	(3x-5)(4-9x)+(2x+1)(6x^2+5)	$(3 x - 5) (4 - 9 x) + (2 x + 1) (6 x^{2} + 5)$
171760	Find the Function	f(x)=x^2-5x	$f (x) = x^{2} - 5 x$
171761	Solve the Absolute Value Inequality for p	4\|p-3\|=\|2p+8\|	$4 \| p - 3 \| = \| 2 p + 8 \|$
171762	Solve for θ	4sin(theta)+7=5	$4 \sin (θ) + 7 = 5$
171763	Solve for x	x=5x+6	$x = 5 x + 6$
171764	Simplify	((-3x^5m^-3)^5)/(12x^-1m^2)	$\frac{{(- 3 x^{5} m^{- 3})}^{5}}{12 x^{- 1} m^{2}}$
171765	Solve for x	(x^(3/2))/(x-6)=x-8	$\frac{x^{\frac{3}{2}}}{x - 6} = x - 8$
171766	Solve for t	1000=5(10^(2t))	$1000 = 5 (10^{2 t})$
171767	Graph Using a Table of Values	y=2\|x\|	$y = 2 \| x \|$
171768	Simplify the Radical Expression	cube root of 27	$\sqrt[3]{27}$
171769	Evaluate	log of x+ log of x+3=1	$\log (x) + \log (x + 3) = 1$
171770	Solve the Inequality for x	4-2x>7-3x	$4 - 2 x > 7 - 3 x$
171771	Solve for x	x-(2x+7)/(x+6)=5/(x+6)	$x - \frac{2 x + 7}{x + 6} = \frac{5}{x + 6}$
171772	Divide	(6p^2q^2-9p^2q+12pq^2)÷(-3pq)	$(6 p^{2} q^{2} - 9 p^{2} q + 12 p q^{2}) \div (- 3 p q)$
171773	Solve the Absolute Value Inequality for j	\|3j-1\|+6>0	$\| 3 j - 1 \| + 6 > 0$
171774	Solve the Inequality for x	x^3-x^2-90x<0	$x^{3} - x^{2} - 90 x < 0$
171775	Simplify	(1+sec(t))/(1+cos(t))	$\frac{1 + \sec (t)}{1 + \cos (t)}$
171776	Simplify	(- square root of -2)( square root of -5)	$(- \sqrt{- 2}) (\sqrt{- 5})$
171777	Solve for c	\|3c\|=21	$\| 3 c \| = 21$
171778	Evaluate	2/5k-3/5+1/10k	$\frac{2}{5} k - \frac{3}{5} + \frac{1}{10} k$
171779	Simplify	4/(2x^2)+1/(3x)	$\frac{4}{2 x^{2}} + \frac{1}{3 x}$
171780	Describe the Transformation	f(2x)	$f (2 x)$
171781	Graph	4x^2>y-3	$4 x^{2} > y - 3$
171782	Simplify	(2 fourth root of 8y^2)(-2 fourth root of 12y^3)	$(2 \sqrt[4]{8 y^{2}}) (- 2 \sqrt[4]{12 y^{3}})$
171783	Solve for p	53=5\|p-4\|+8	$53 = 5 \| p - 4 \| + 8$
171784	Graph	f(x)=x^3+x+3	$f (x) = x^{3} + x + 3$
171785	Write in Standard Form	p(x)=1/2x^2+3x-4x^3+6x^4-1	$p (x) = \frac{1}{2} x^{2} + 3 x - 4 x^{3} + 6 x^{4} - 1$
171786	Solve the System of Equations	-2x+y=0 10x+7y=48	$- 2 x + y = 0$ $10 x + 7 y = 48$
171787	Simplify	( square root of -15)(-7 square root of 5)	$(\sqrt{- 15}) (- 7 \sqrt{5})$
171788	Divide	((5x^3)/4)÷((15x)/8)	$\frac{5 x^{3}}{4} \div \frac{15 x}{8}$
171789	Find the Exact Value	g(-1)	$g (- 1)$
171790	Graph	(7,1)	$(7, 1)$
171791	Solve for x	2x+1/5-x+2/5=4x-2/5	$2 x + \frac{1}{5} - x + \frac{2}{5} = 4 x - \frac{2}{5}$
171792	Simplify	(x^-6*x^-3)/(x^-8)	$\frac{x^{- 6} \cdot x^{- 3}}{x^{- 8}}$
171793	Evaluate	-9*(5j+k)	$- 9 \cdot (5 j + k)$
171794	Simplify	((p^2-q^2)/(p+q))÷((p+q)/(p-q))	$\frac{p^{2} - q^{2}}{p + q} \div \frac{p + q}{p - q}$
171795	Simplify	-(x+y)^2	$- {(x + y)}^{2}$
171796	Evaluate	7/10+(-3/5)	$\frac{7}{10} + (- \frac{3}{5})$
171797	Graph	Q(x)=-x^2(x^2-9)	$Q (x) = - x^{2} (x^{2} - 9)$
171798	Simplify	square root of -20* square root of -12	$\sqrt{- 20} \cdot \sqrt{- 12}$
171799	Graph	x+y=4 x-y=2	$x + y = 4$ $x - y = 2$
171800	Simplify	-1/2+1	$- \frac{1}{2} + 1$