Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
220601	Graph	y<=1/2x+1 x+y<3	$y \leq \frac{1}{2} x + 1$ $x + y < 3$
220602	Factor	x^3+3x^2=24x+72	$x^{3} + 3 x^{2} = 24 x + 72$
220603	Solve by Graphing	y=-3x+4 y+3x=-4	$y = - 3 x + 4$ $y + 3 x = - 4$
220604	Find the Exact Value	(5+5)^2+0.2^2	${(5 + 5)}^{2} + {0.2}^{2}$
220605	Simplify	13x-(9+2(x+4))	$13 x - (9 + 2 (x + 4))$
220606	Find the Product	(2x)(3x)	$(2 x) (3 x)$
220607	Factor	a^5+a^3-a^2-1	$a^{5} + a^{3} - a^{2} - 1$
220608	Divide	(11x^3)/(7x^(7/3))	$\frac{11 x^{3}}{7 x^{\frac{7}{3}}}$
220609	Subtract	3y^2+4y+4-7y^2+3y-6	$3 y^{2} + 4 y + 4 - 7 y^{2} + 3 y - 6$
220610	Rationalize the Denominator	2/(3- square root of x-y)	$\frac{2}{3 - \sqrt{x - y}}$
220611	Find the x and y Intercepts	f(x)=(x^2-9)/(4x)	$f (x) = \frac{x^{2} - 9}{4 x}$
220612	Divide	(1/2)/(1/3)	$\frac{\frac{1}{2}}{\frac{1}{3}}$
220613	Convert to Rectangular	square root of 32(cos(pi/4)+isin(pi/4))	$\sqrt{32} (\cos (\frac{π}{4}) + i \sin (\frac{π}{4}))$
220614	Solve for x	-2/(x+1)=-3/x+2	$\frac{- 2}{x + 1} = \frac{- 3}{x} + 2$
220615	Evaluate	1/(16^(3x-4))<=64^(x-1)	$\frac{1}{16^{3 x - 4}} \leq 64^{x - 1}$
220616	Simplify	(x^n)(x^5)^3	$(x^{n}) {(x^{5})}^{3}$
220617	Factor	ax-y+x-ay	$a x - y + x - a y$
220618	Solve for x	9^x+4^(x+1/2)=4^(x+3/2)-7*3^(2x-2)	$9^{x} + 4^{x + \frac{1}{2}} = 4^{x + \frac{3}{2}} - 7 \cdot 3^{2 x - 2}$
220619	Find the Roots (Zeros)	3x^2+45=24x	$3 x^{2} + 45 = 24 x$
220620	Solve for m	m+7=2m	$m + 7 = 2 m$
220621	Solve for x	(m^(x-7))/(m^-3)=(m^2)(m^-2)	$\frac{m^{x - 7}}{m^{- 3}} = (m^{2}) (m^{- 2})$
220622	Solve the Rational Equation for x	1/(x^2-5x)=(x+7)/x-1	$\frac{1}{x^{2} - 5 x} = \frac{x + 7}{x} - 1$
220623	Graph	x<=-3 or x>1	$x \leq - 3$ or $x > 1$
220624	Evaluate	f(x+1)=x/(x^2+1)	$f (x + 1) = \frac{x}{x^{2} + 1}$
220625	Solve the Inequality for x	3x-15<0	$3 x - 15 < 0$
220626	Solve for x	3e^(x-3)-1=5	$3 e^{x - 3} - 1 = 5$
220627	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-1,-7) and has a slope of 2 ?	What is the equation of the line that passes through the point $(- 1, - 7)$ and has a slope of $2$ ?
220628	Simplify	-3x^2+4x+10-2x^2-2x	$- 3 x^{2} + 4 x + 10 - 2 x^{2} - 2 x$
220629	Identify the Zeros and Their Multiplicities	y=-(x+3)(x+1)^2(2x-5)	$y = - (x + 3) {(x + 1)}^{2} (2 x - 5)$
220630	Graph	y<=3/2x-1 y>=-1/2x+3	$y \leq \frac{3}{2} x - 1$ $y \geq - \frac{1}{2} x + 3$
220631	Simplify	(sin(theta)^3cos(theta))/(cos(theta)^4)	$\frac{\sin^{3} (θ) \cos (θ)}{\cos^{4} (θ)}$
220632	Determine if Linear	y-x/9=12	$y - \frac{x}{9} = 12$
220633	Find the First Term	a_n=-1/2-3/2n	$a_{n} = - \frac{1}{2} - \frac{3}{2} n$
220634	Convert to Radical Form	(a^(4/3))÷(a^(1/3))	$a^{\frac{4}{3}} \div a^{\frac{1}{3}}$
220635	Simplify	( square root of 2)/2-( square root of 2)/2	$\frac{\sqrt{2}}{2} - \frac{\sqrt{2}}{2}$
220636	Simplify the Radical Expression	cube root of 3/9	$\sqrt[3]{\frac{3}{9}}$
220637	Simplify	(20m^2n^3-10m^2n)/(5mn)	$\frac{20 m^{2} n^{3} - 10 m^{2} n}{5 m n}$
220638	Evaluate	(1+1/y)/(1-1/y)	$\frac{1 + \frac{1}{y}}{1 - \frac{1}{y}}$
220639	Simplify	(2p)/( square root of 16p^5)	$\frac{2 p}{\sqrt{16 p^{5}}}$
220640	Simplify	(sin(x)-csc(x))^2	${(\sin (x) - \csc (x))}^{2}$
220641	Simplify	1/(2-4)	$\frac{1}{2 - 4}$
220642	Evaluate	(14x^0y^-2)/(2^-1z^-3)	$\frac{14 x^{0} y^{- 2}}{2^{- 1} z^{- 3}}$
220643	Simplify	((a^2-3ab)/(3b))÷(7a-21b)	$\frac{a^{2} - 3 a b}{3 b} \div (7 a - 21 b)$
220644	Write in Standard Form	(x-0)^2	${(x - 0)}^{2}$
220645	Simplify	(8a^2-6-8a)+(1-6a-7a^2)	$(8 a^{2} - 6 - 8 a) + (1 - 6 a - 7 a^{2})$
220646	Multiply	(3a)(5x^2+8a)	$(3 a) (5 x^{2} + 8 a)$
220647	Solve for x	2x+x/3=7/3	$2 x + \frac{x}{3} = \frac{7}{3}$
220648	Evaluate	-5/(1^2)	$- \frac{5}{1^{2}}$
220649	Solve the Inequality for c	-c/6>=7	$- \frac{c}{6} \geq 7$
220650	Convert to a Simplified Fraction	50% as a fraction	$50 %$ as a fraction
220651	Solve for x	3=4-5 cube root of x^8	$3 = 4 - 5 \sqrt[3]{x^{8}}$
220652	Graph	f(x)=(5x+25)/(x^2+x-20)	$f (x) = \frac{5 x + 25}{x^{2} + x - 20}$
220653	Evaluate	(2/(2^2))^2	${(\frac{2}{2^{2}})}^{2}$
220654	Solve the Inequality for r	r/15>=-3	$\frac{r}{15} \geq - 3$
220655	Evaluate	2(1)^(-5/2)	$2 {(1)}^{- \frac{5}{2}}$
220656	Solve the Rational Equation for m	5/m=8/(2m-6)	$\frac{5}{m} = \frac{8}{2 m - 6}$
220657	Solve the System of Equations	x+2y-5z=10 y+2z=2 z=-1	$x + 2 y - 5 z = 10$ $y + 2 z = 2$ $z = - 1$
220658	Rationalize the Denominator	5/( square root of 3+2)	$\frac{5}{\sqrt{3} + 2}$
220659	Solve for a	((5^a)^2)/(5^3)=125	$\frac{{(5^{a})}^{2}}{5^{3}} = 125$
220660	Simplify	- cube root of -125m^9b^18c^24	$- \sqrt[3]{- 125 m^{9} b^{18} c^{24}}$
220661	Simplify	((18a^3b^-2)/(21a^-2b^-4))^-3	${(\frac{18 a^{3} b^{- 2}}{21 a^{- 2} b^{- 4}})}^{- 3}$
220662	Evaluate	(3x-6)/(x+4)>=0	$\frac{3 x - 6}{x + 4} \geq 0$
220663	Simplify	(7+3i)+2+(5-6i)	$(7 + 3 i) + 2 + (5 - 6 i)$
220664	Find the Remainder	(-19x^2+6x^3+20)÷(x^2-2x-3)	$(- 19 x^{2} + 6 x^{3} + 20) \div (x^{2} - 2 x - 3)$
220665	Divide	(9/11)÷(-3/2)	$\frac{9}{11} \div (- \frac{3}{2})$
220666	Solve the System of Inequalities	y<3 y<=-x+1	$y < 3$ $y \leq - x + 1$
220667	Simplify	3a+3+5a+30-a	$3 a + 3 + 5 a + 30 - a$
220668	Rationalize the Denominator	square root of (9x)/2	$\sqrt{\frac{9 x}{2}}$
220669	Simplify	6/( square root of -2)	$\frac{6}{\sqrt{- 2}}$
220670	Evaluate	5((5^5)/(5^3))	$5 (\frac{5^{5}}{5^{3}})$
220671	Rationalize the Denominator	( fourth root of x^2)/( cube root of x^3)	$\frac{\sqrt[4]{x^{2}}}{\sqrt[3]{x^{3}}}$
220672	Evaluate	25% of 16	$25 %$ of $16$
220673	Solve the Inequality for x	21>12+x	$21 > 12 + x$
220674	Divide Using Long Polynomial Division	16x^3+24x^2+29x+6 divided by 4x+1	$16 x^{3} + 24 x^{2} + 29 x + 6$ divided by $4 x + 1$
220675	Graph	f(x)=(1/x)^2	$f (x) = {(\frac{1}{x})}^{2}$
220676	Solve for x	(x(x+1))/(x+4)=0	$\frac{x (x + 1)}{x + 4} = 0$
220677	Convert to a Percentage	72 is what percent of 45 ?	$72$ is what percent of $45$ ?
220678	Simplify	(4x+12y)/(6x)	$\frac{4 x + 12 y}{6 x}$
220679	Evaluate	10% of 90	$10 %$ of $90$
220680	Simplify	2x+6x^2-10+4x^2-3x+(-6)	$2 x + 6 x^{2} - 10 + 4 x^{2} - 3 x + (- 6)$
220681	Solve the Inequality for n	n-1>3	$n - 1 > 3$
220682	Solve the Inequality for p	-14<=-7p	$- 14 \leq - 7 p$
220683	Graph	y=x^2 and y=x^2-9	$y = x^{2}$ and $y = x^{2} - 9$
220684	Solve the Inequality for a	3 square root of a>=12	$3 \sqrt{a} \geq 12$
220685	Simplify	(6x-4x^2-7x^3)+(9x^2-5x)	$(6 x - 4 x^{2} - 7 x^{3}) + (9 x^{2} - 5 x)$
220686	Solve the Rational Equation for x	7/(x+7)+1=-x/(x+7)	$\frac{7}{x + 7} + 1 = - \frac{x}{x + 7}$
220687	Simplify	(-3m^-2)^2(-2m^4n^2)^-1	${(- 3 m^{- 2})}^{2} {(- 2 m^{4} n^{2})}^{- 1}$
220688	Graph	(x)=\|x\|	$(x) = \| x \|$
220689	Find All Complex Solutions	2x^2-4x+5=-3	$2 x^{2} - 4 x + 5 = - 3$
220690	Solve for x	1/8=x^-3	$\frac{1}{8} = x^{- 3}$
220691	Graph	tan(theta)<0 , sin(theta)<0	$\tan (θ) < 0$ , $\sin (θ) < 0$
220692	Simplify	(10a^2b-8a+5a^2b-2ab)-(ab^2-6ab-2a+3ab)	$(10 a^{2} b - 8 a + 5 a^{2} b - 2 a b) - (a b^{2} - 6 a b - 2 a + 3 a b)$
220693	Write in Exponential Form	cube root of x- cube root of x^4	$\sqrt[3]{x} - \sqrt[3]{x^{4}}$
220694	Simplify	-3(3x^2+5x+15)+13	$- 3 (3 x^{2} + 5 x + 15) + 13$
220695	Simplify	( cube root of 7- cube root of 10)( cube root of 49+ cube root of 70+ cube root of 100)	$(\sqrt[3]{7} - \sqrt[3]{10}) (\sqrt[3]{49} + \sqrt[3]{70} + \sqrt[3]{100})$
220696	Find the Domain and Range	f(x) = log base 1/3 of x+1-2	$f (x) = \log_{\frac{1}{3}} (x + 1) - 2$
220697	Solve for k	3(4k-1/3)=12k-1	$3 (4 k - \frac{1}{3}) = 12 k - 1$
220698	Solve the Rational Equation for x	2=(1+ square root of 29-4x)/-3	$2 = \frac{1 + \sqrt{29 - 4 x}}{- 3}$
220699	Simplify	p(p+2)-3p(p-5)	$p (p + 2) - 3 p (p - 5)$
220700	Solve for m	P=(RT)/mV for m	$P = \frac{R T}{m V}$ for $m$