Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
226501	Solve for a	9a+3b=30 8a+4b=28	$9 a + 3 b = 30$ $8 a + 4 b = 28$
226502	Solve for x	square root of x+9=1+ square root of x	$\sqrt{x + 9} = 1 + \sqrt{x}$
226503	Solve for T	T=gr+gvt	$T = g r + g v t$
226504	Divide Using Long Polynomial Division	(x^2-2x-37)÷(x^2-3x-40)	$(x^{2} - 2 x - 37) \div (x^{2} - 3 x - 40)$
226505	Multiply	10y^4(-9x^2)	$10 y^{4} (- 9 x^{2})$
226506	Find All Complex Solutions	2/x-(3x)/(x+3)=x/(x+3)	$\frac{2}{x} - \frac{3 x}{x + 3} = \frac{x}{x + 3}$
226507	Factor	216r^9+8s^3t^3	$216 r^{9} + 8 s^{3} t^{3}$
226508	Simplify	2 square root of -16- square root of 16-2 cube root of -216-3 cube root of -343	$2 \sqrt{- 16} - \sqrt{16} - 2 \sqrt[3]{- 216} - 3 \sqrt[3]{- 343}$
226509	Solve for t	5(2t-3)-7.5t=0.5(12-t)	$5 (2 t - 3) - 7.5 t = 0.5 (12 - t)$
226510	Simplify	-4/(2 square root of 5)	$- \frac{4}{2 \sqrt{5}}$
226511	Find the Quotient	(y^9)÷(y^3)	$y^{9} \div y^{3}$
226512	Factor	(2x+y)^2-y^2	${(2 x + y)}^{2} - y^{2}$
226513	Graph	3(7x+17)>-19+14x	$3 (7 x + 17) > - 19 + 14 x$
226514	Simplify	- square root of 54a^2b+ square root of 24a^2b	$- \sqrt{54 a^{2} b} + \sqrt{24 a^{2} b}$
226515	Write the Fraction in Simplest Form	((2k^5)^-3)/(2j^5k^3)	$\frac{{(2 k^{5})}^{- 3}}{2 j^{5} k^{3}}$
226516	Simplify	1/4z+1/5z	$\frac{1}{4} z + \frac{1}{5} z$
226517	Evaluate	-2=-5+ square root of n+7	$- 2 = - 5 + \sqrt{n + 7}$
226518	Write in Standard Form	(-4k^4+14+3k^2)+(-3k^4-14k^2-8)	$(- 4 k^{4} + 14 + 3 k^{2}) + (- 3 k^{4} - 14 k^{2} - 8)$
226519	Find the Exact Value	((-1)^-1)^-1	${({(- 1)}^{- 1})}^{- 1}$
226520	Solve for u	-52=3u-15u-16	$- 52 = 3 u - 15 u - 16$
226521	Evaluate	18÷3+(9-5)^3	$18 \div 3 + {(9 - 5)}^{3}$
226522	Evaluate	arctan(sin(pi/2))	$\arctan (\sin (\frac{π}{2}))$
226523	Evaluate	(x^-2y^-4)/(xy^-6)	$\frac{x^{- 2} y^{- 4}}{x y^{- 6}}$
226524	Solve for x	8*e^(x-1)=56	$8 \cdot e^{x - 1} = 56$
226525	Simplify	2x+3y-(x+2y)+4x+y	$2 x + 3 y - (x + 2 y) + 4 x + y$
226526	Evaluate	(4^-5)/(4^4)*4^-5	$\frac{4^{- 5}}{4^{4}} \cdot 4^{- 5}$
226527	Write in Slope-Intercept Form	(-6,-7) and (3,-4)	$(- 6, - 7)$ and $(3, - 4)$
226528	Simplify	(2ab)/(a^2-6ab+9b^2)*(a^2-9b^2)	$\frac{2 a b}{a^{2} - 6 a b + 9 b^{2}} \times (a^{2} - 9 b^{2})$
226529	Simplify	cube root of (3v)/(4pi)	$\sqrt[3]{\frac{3 v}{4 π}}$
226530	Multiply	(x^2(x-4))/(x-3)*((x-3)(x+6))/(x^3)	$\frac{x^{2} (x - 4)}{x - 3} \cdot \frac{(x - 3) (x + 6)}{x^{3}}$
226531	Find the Roots (Zeros)	y=4sin(x)	$y = 4 \sin (x)$
226532	Evaluate	\|1/6-2\|	$\| \frac{1}{6} - 2 \|$
226533	Multiply	Multiply (x^2+5x)/(x^2-25)*(8x-40)/(4x)	Multiply $\frac{x^{2} + 5 x}{x^{2} - 25} \cdot \frac{8 x - 40}{4 x}$
226534	Simplify	(y/x)/(x/y+y/x)	$\frac{\frac{y}{x}}{\frac{x}{y} + \frac{y}{x}}$
226535	Find the Product	cube root of x^2* fourth root of x^3	$\sqrt[3]{x^{2}} \cdot \sqrt[4]{x^{3}}$
226536	Solve for x	e^(3x)+5=6	$e^{3 x} + 5 = 6$
226537	Graph	f(x)=-3tan(1/2(x+pi/2))-2	$f (x) = - 3 \tan (\frac{1}{2} (x + \frac{π}{2})) - 2$
226538	Solve for n	n+2<6	$n + 2 < 6$
226539	Simplify	(3^3)(4^0)^2(3*2)^-3(2^2)	$(3^{3}) {(4^{0})}^{2} {(3 \cdot 2)}^{- 3} (2^{2})$
226540	Solve for x	3(2(x-4)-4x)=-12	$3 (2 (x - 4) - 4 x) = - 12$
226541	Factor by Grouping	7a-7b+an-bn	$7 a - 7 b + a n - b n$
226542	Simplify	(sec(x)^2-tan(x)^2)/(cos(x)^2+sin(x)^2)	$\frac{\sec^{2} (x) - \tan^{2} (x)}{\cos^{2} (x) + \sin^{2} (x)}$
226543	Graph	y=1/4+x	$y = \frac{1}{4} + x$
226544	Graph	2>x-2 or 4<x-2	$2 > x - 2$ or $4 < x - 2$
226545	Solve the Inequality for x	2<=x	$2 \leq x$
226546	Factor	16a^4+64a^3b^2+96a^2b^4+64ab^6+16b^8	$16 a^{4} + 64 a^{3} b^{2} + 96 a^{2} b^{4} + 64 a b^{6} + 16 b^{8}$
226547	Multiply	fourth root of 10* fourth root of 10	$\sqrt[4]{10} \cdot \sqrt[4]{10}$
226548	Simplify	(3x^2-9x)/(2x^3)*(x^6)/(5x^2-15x)	$\frac{3 x^{2} - 9 x}{2 x^{3}} \cdot \frac{x^{6}}{5 x^{2} - 15 x}$
226549	Solve for x	2/(3x)=1/4-1/(6x)	$\frac{2}{3 x} = \frac{1}{4} - \frac{1}{6 x}$
226550	Find the GCF	2xy+3x^2y	$2 x y + 3 x^{2} y$
226551	Divide	(60a^2b^3-48b^4+84a^5b^2)/(12ab^2)	$\frac{60 a^{2} b^{3} - 48 b^{4} + 84 a^{5} b^{2}}{12 a b^{2}}$
226552	Find the Roots (Zeros)	(x+2)(x+5)-3x=0	$(x + 2) (x + 5) - 3 x = 0$
226553	Factor by Grouping	9y^6+6y^4+y^2	$9 y^{6} + 6 y^{4} + y^{2}$
226554	Find the Complex Conjugate	3 square root of 5+2 square root of 6	$3 \sqrt{5} + 2 \sqrt{6}$
226555	Evaluate	3^(x+1)>243	$3^{x + 1} > 243$
226556	Simplify	-6x^52x^34x	$- 6 x^{5} \cdot 2 x^{3} \cdot 4 x$
226557	Factor	y^2-(5x-3)^2	$y^{2} - {(5 x - 3)}^{2}$
226558	Solve the Inequality for x	1/3x+5/6x<7/3	$\frac{1}{3} x + \frac{5}{6} x < \frac{7}{3}$
226559	Subtract	1/(x^2-10x+24)-(2x)/(x-6)	$\frac{1}{x^{2} - 10 x + 24} - \frac{2 x}{x - 6}$
226560	Evaluate	Evaluate -7*(-7)^-4	Evaluate $- 7 \cdot {(- 7)}^{- 4}$
226561	Multiply	square root of 12* square root of y^3* square root of 6y	$\sqrt{12} \cdot \sqrt{y^{3}} \cdot \sqrt{6 y}$
226562	Find the x and y Intercepts	f(x)=-(x^2+16)(x+2)(x^2-2)	$f (x) = - (x^{2} + 16) (x + 2) (x^{2} - 2)$
226563	Graph	x+y<=7 and y<=-7	$x + y \leq 7$ and $y \leq - 7$
226564	Graph	4x+2y=6 4y=-8x+4	$4 x + 2 y = 6$ $4 y = - 8 x + 4$
226565	Simplify	4/(3x+6)-(x+1)/(x^2-4)	$\frac{4}{3 x + 6} - \frac{x + 1}{x^{2} - 4}$
226566	Solve for x	-x^3-4=0.5x^2+x+4	$- x^{3} - 4 = 0.5 x^{2} + x + 4$
226567	Graph	(x-4)/5>=2	$\frac{x - 4}{5} \geq 2$
226568	Graph	y=1+ square root of 3-x	$y = 1 + \sqrt{3 - x}$
226569	Solve for a	square root of -36+13a=a	$\sqrt{- 36 + 13 a} = a$
226570	Simplify	((a^5b^-7)/(a^3b^-9))^-1(a/(2b))^-2	${(\frac{a^{5} b^{- 7}}{a^{3} b^{- 9}})}^{- 1} {(\frac{a}{2 b})}^{- 2}$
226571	Evaluate	7/x=2/(x-5)	$\frac{7}{x} = \frac{2}{x - 5}$
226572	Evaluate	1/4 log base 4 of 16	$\frac{1}{4} \log_{4} (16)$
226573	Divide Using Long Polynomial Division	(2x^4-5x^3+2x^2+5x-10)/(x-2)	$\frac{2 x^{4} - 5 x^{3} + 2 x^{2} + 5 x - 10}{x - 2}$
226574	Evaluate	3^(2x)>9	$3^{2 x} > 9$
226575	Solve for y	(3y+4)/(y-1)=2+7/(y-1)	$\frac{3 y + 4}{y - 1} = 2 + \frac{7}{y - 1}$
226576	Find the Degree	arcsin(-( square root of 2)/2)	$\arcsin (- \frac{\sqrt{2}}{2})$
226577	Graph	2/3(x+7)(x+1)	$\frac{2}{3} (x + 7) (x + 1)$
226578	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+3x^2+7x+6 is divided by x+1	Use the long division method to find the result when $2 x^{3} + 3 x^{2} + 7 x + 6$ is divided by $x + 1$
226579	Solve for x	a-b=cx-fy	$a - b = c x - f y$
226580	Convert to a Percentage	57 is what percent of 60	$57$ is what percent of $60$
226581	Solve for c	20>=-3.2(c-4.3)	$20 \geq - 3.2 (c - 4.3)$
226582	Find the Equation Using Two Points	f(10)=5 and f(2)=-3	$f (10) = 5$ and $f (2) = - 3$
226583	Find the x and y Intercepts	f(x)=-2x^2(2x-1)^3(4x+3)	$f (x) = - 2 x^{2} {(2 x - 1)}^{3} (4 x + 3)$
226584	Solve for x	1/(x-8)-1=-7/(x-8)	$\frac{1}{x - 8} - 1 = - \frac{7}{x - 8}$
226585	Evaluate	4^3=x	$4^{3} = x$
226586	Solve the Inequality for n	\|n\|-3>-2	$\| n \| - 3 > - 2$
226587	Find the Inverse	3x-2=5y+7	$3 x - 2 = 5 y + 7$
226588	Describe the Transformation	y=-(x+3)^3-5	$y = - {(x + 3)}^{3} - 5$
226589	Divide Using Long Polynomial Division	Use the long division method to find the result when 9x^3+9x^2+17x+10 is divided by 3x+2	Use the long division method to find the result when $9 x^{3} + 9 x^{2} + 17 x + 10$ is divided by $3 x + 2$
226590	Evaluate	2\|2-9\|-3(4+2)	$2 \| 2 - 9 \| - 3 (4 + 2)$
226591	Solve for y	60=10 square root of y-3	$60 = 10 \sqrt{y - 3}$
226592	Multiply	(x-(-3+i))(x-(-3-i))	$(x - (- 3 + i)) (x - (- 3 - i))$
226593	Solve for z	4z-8+3z+6=180	$4 z - 8 + 3 z + 6 = 180$
226594	Find the Directrix	x=-1/4(y-4)^2-2	$x = \frac{- 1}{4} {(y - 4)}^{2} - 2$
226595	Simplify	square root of (xy^2)/16	$\sqrt{\frac{x y^{2}}{16}}$
226596	Simplify	(x2/5y4/10)^-5	${(x \frac{2}{5} y \frac{4}{10})}^{- 5}$
226597	Solve for x	-1/3+x=-7/24	$- \frac{1}{3} + x = - \frac{7}{24}$
226598	Find the Exact Value	log base 2 of 2^4- log base 2 of 2^10	$\log_{2} (2^{4}) - \log_{2} (2^{10})$
226599	Simplify	(3ab^2)/(5m)+ square root of 2a-a^2m^2	$\frac{3 a b^{2}}{5 m} + \sqrt{2 a} - a^{2} m^{2}$
226600	Simplify	(2pi)/3-2pi	$\frac{2 π}{3} - 2 π$