Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
216101	Simplify	-2x^2-4x from 2x^2-2x-5	$- 2 x^{2} - 4 x$ from $2 x^{2} - 2 x - 5$
216102	Solve for x	(x+3)/(x+2)-5/(x-9)=5/(x^2-7x-18)	$\frac{x + 3}{x + 2} - \frac{5}{x - 9} = \frac{5}{x^{2} - 7 x - 18}$
216103	Simplify	3(2t^2-4t-15(6t(5t+2)))	$3 (2 t^{2} - 4 t - 15 (6 t (5 t + 2)))$
216104	Solve the Inequality for x	(2\|x-1\|)/5>=2	$\frac{2 \| x - 1 \|}{5} \geq 2$
216105	Simplify	(2/(3x^(1/3)))^2	${(\frac{2}{3 x^{\frac{1}{3}}})}^{2}$
216106	Determine if (3,3) is a Solution	y=3x+6 y=-2x+9 (3,3)	$y = 3 x + 6$ $y = - 2 x + 9$ $(3, 3)$
216107	Solve the Absolute Value Inequality for x	\|x\|>=-2	$\| x \| \geq - 2$
216108	Evaluate	(x+3)^2-3=49	${(x + 3)}^{2} - 3 = 49$
216109	Combine Like Terms	1/4x+1+3/4x-2/3-1/2x	$\frac{1}{4} x + 1 + \frac{3}{4} x - \frac{2}{3} - \frac{1}{2} x$
216110	Evaluate	(2pi)/3(180/pi)	$\frac{2 π}{3} (\frac{180}{π})$
216111	Solve for x	15-3x=5(x+4)-8x	$15 - 3 x = 5 (x + 4) - 8 x$
216112	Combine Like Terms	-7m-m^2+4m^2-3m	$- 7 m - m^{2} + 4 m^{2} - 3 m$
216113	Graph	2>x-2 or 4	$2 > x - 2$ or $4$
216114	Solve for x	2^x+2^(-x)=5/2	$2^{x} + 2^{- x} = \frac{5}{2}$
216115	Graph	\|2x-y\|<=x+y	$\| 2 x - y \| \leq x + y$
216116	Evaluate	((-9)^0j^-1k^-4)/(2^0)	$\frac{{(- 9)}^{0} j^{- 1} k^{- 4}}{2^{0}}$
216117	Simplify	(8+i^2)-(2-i^6)	$(8 + i^{2}) - (2 - i^{6})$
216118	Simplify the Radical Expression	fourth root of (x^3)/8	$\sqrt[4]{\frac{x^{3}}{8}}$
216119	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^4+14x^3+13x^2+x-2 is divided by x+2	Use synthetic division to find the result when $4 x^{4} + 14 x^{3} + 13 x^{2} + x - 2$ is divided by $x + 2$
216120	Graph	y<=1/(x-2)-1	$y \leq \frac{1}{x - 2} - 1$
216121	Simplify	((4at^5)/(a^3t^-1))^2	${(\frac{4 a t^{5}}{a^{3} t^{- 1}})}^{2}$
216122	Graph	2x+y=-4 -3y=2x+12	$2 x + y = - 4$ $- 3 y = 2 x + 12$
216123	Solve the System of Equations	9x^2+25y^2=225 10y+6x=6	$9 x^{2} + 25 y^{2} = 225$ $10 y + 6 x = 6$
216124	Simplify	(9x^3-2x^2+x-6)-(6-9x-4x^2)	$(9 x^{3} - 2 x^{2} + x - 6) - (6 - 9 x - 4 x^{2})$
216125	Solve for x	-20=4 cube root of 11x-15	$- 20 = 4 \sqrt[3]{11 x - 15}$
216126	Simplify the Radical Expression	(-64)^(1/2)	${(- 64)}^{\frac{1}{2}}$
216127	Graph	y=(2x-1)(2x-3)(2x+5)	$y = (2 x - 1) (2 x - 3) (2 x + 5)$
216128	Simplify	-3/(2 square root of 3)	$- \frac{3}{2 \sqrt{3}}$
216129	Solve for x	2+sin(x)=2	$2 + \sin (x) = 2$
216130	Evaluate	log base 6 of cube root of 1/6	$\log_{6} (\sqrt[3]{\frac{1}{6}})$
216131	Solve the Rational Equation for x	(x-3)/(x+1)=(4x-6)/((x+1)(x+2))	$\frac{x - 3}{x + 1} = \frac{4 x - 6}{(x + 1) (x + 2)}$
216132	Simplify	2a^(1/3)(ab^(1/2))^(2/3)	$2 a^{\frac{1}{3}} {(a b^{\frac{1}{2}})}^{\frac{2}{3}}$
216133	Solve the System of Inequalities	2y<-12x+4 y<-6x+4	$2 y < - 12 x + 4$ $y < - 6 x + 4$
216134	Solve for y	4^(y+2)=16^(y-3)	$4^{y + 2} = 16^{y - 3}$
216135	Divide	(4/44)÷(8/-20)	$\frac{4}{44} \div \frac{8}{- 20}$
216136	Solve for d	a=bc+d	$a = b c + d$
216137	Solve for x	x-2/3=6 1/3	$x - \frac{2}{3} = 6 \frac{1}{3}$
216138	Solve the System of Equations	Solve the system of equations 3x+2y=9 and 3x-y=0	Solve the system of equations $3 x + 2 y = 9$ and $3 x - y = 0$
216139	Find the Domain and Range	h(x) = log base 8 of \|x\|	$h (x) = \log_{8} (\| x \|)$
216140	Evaluate	sec(theta)=(2 square root of 3)/3	$\sec (θ) = \frac{2 \sqrt{3}}{3}$
216141	Factor	a(b-c)+d(c-b)	$a (b - c) + d (c - b)$
216142	Write in Exponential Form	( cube root of 10y)^3	${(\sqrt[3]{10 y})}^{3}$
216143	Write in Standard Form	(2i)(1-4i)(1+i)	$(2 i) (1 - 4 i) (1 + i)$
216144	Evaluate	4sec(pi/3)	$4 \sec (\frac{π}{3})$
216145	Combine Like Terms	7/2x-8.62-3/2x-2.38	$\frac{7}{2} x - 8.62 - \frac{3}{2} x - 2.38$
216146	Write as a Single Logarithm	3* log base 2 of 4- log base 2 of 32	$3 \cdot \log_{2} (4) - \log_{2} (32)$
216147	Evaluate	1/(tan(2.5))	$\frac{1}{\tan (2.5)}$
216148	Simplify	(6^5*6)/(6^5)	$\frac{6^{5} \cdot 6}{6^{5}}$
216149	Simplify	(3x-6)/(24x)+(3x+6)/(24x)	$\frac{3 x - 6}{24 x} + \frac{3 x + 6}{24 x}$
216150	Solve for x	y+15=x+6	$y + 15 = x + 6$
216151	Write in Standard Form	(3-2x+2x^2)-(4x-5+3x^2)	$(3 - 2 x + 2 x^{2}) - (4 x - 5 + 3 x^{2})$
216152	Evaluate the Function	g(2+h)=(2+h)^3	$g (2 + h) = {(2 + h)}^{3}$
216153	Simplify	((3x^2y)^3)/((2xy^2)^0)	$\frac{{(3 x^{2} y)}^{3}}{{(2 x y^{2})}^{0}}$
216154	Write in Standard Form	(5x^2+8x-10)+(-12-x+3x^2)	$(5 x^{2} + 8 x - 10) + (- 12 - x + 3 x^{2})$
216155	Solve for x	5=x-21+q	$5 = x - 21 + q$
216156	Write in Standard Form	(2x^2+7x)+(-x^2+10x+3)	$(2 x^{2} + 7 x) + (- x^{2} + 10 x + 3)$
216157	Solve for y	1/2(2y-4)=2/3(9y+3)	$\frac{1}{2} (2 y - 4) = \frac{2}{3} (9 y + 3)$
216158	Solve the Rational Equation for x	6-1/(x+1)=x/(x+1)	$6 - \frac{1}{x + 1} = \frac{x}{x + 1}$
216159	Simplify	3 square root of 22 square root of 8 square root of 3* square root of 6	$3 \sqrt{2} \cdot 2 \sqrt{8} \cdot \sqrt{3} \cdot \sqrt{6}$
216160	Simplify	square root of 6x* square root of 15xy* square root of 20	$\sqrt{6 x} \cdot \sqrt{15 x y} \cdot \sqrt{20}$
216161	Solve for x	\|x-9\|=x^2+3	$\| x - 9 \| = x^{2} + 3$
216162	Multiply	(25xy^3)/(35x^4y^2)*(14xy)/(10x^2y^3)	$\frac{25 x y^{3}}{35 x^{4} y^{2}} \cdot \frac{14 x y}{10 x^{2} y^{3}}$
216163	Evaluate	csc(arcsec(-2))	$\csc (arcsec (- 2))$
216164	Solve for x	5 square root of x+7=8	$5 \sqrt{x} + 7 = 8$
216165	Factor by Grouping	15x^8y^5+100x^5y^4+55x^4y^5	$15 x^{8} y^{5} + 100 x^{5} y^{4} + 55 x^{4} y^{5}$
216166	Solve for y	y/-7.2=-5.65	$\frac{y}{- 7.2} = - 5.65$
216167	Solve the Inequality for x	3x-x^2<=2	$3 x - x^{2} \leq 2$
216168	Simplify	(2x^2-10x)/((x-5)(x^2-1))*(3x^2+4x+1)	$\frac{(2 x^{2} - 10 x)}{(x - 5) (x^{2} - 1)} \cdot (3 x^{2} + 4 x + 1)$
216169	Write in Standard Form	(2x-3)-(5x-6)	$(2 x - 3) - (5 x - 6)$
216170	Solve for x	-(x+1/2)-5/2=-18	$- (x + \frac{1}{2}) - \frac{5}{2} = - 18$
216171	Simplify	7+1/6r+3-3/4r	$7 + \frac{1}{6} r + 3 - \frac{3}{4} r$
216172	Solve the Absolute Value Inequality for x	(\|x+1\|)/3=3	$\frac{\| x + 1 \|}{3} = 3$
216173	Evaluate	(2.5*180)/pi	$\frac{2.5 \cdot 180}{π}$
216174	Write in y=mx+b Form	(4,-8) and (8,5)	$(4, - 8)$ and $(8, 5)$
216175	Simplify	(5x)/6*3/(4x^3)	$\frac{5 x}{6} \cdot \frac{3}{4 x^{3}}$
216176	Solve the Inequality for x	-4x^2+7<-x+2	$- 4 x^{2} + 7 < - x + 2$
216177	Solve the Inequality for x	3x^2+27x-37<=-7	$3 x^{2} + 27 x - 37 \leq - 7$
216178	Simplify	((3x^2-30x)/(4x)*(x-10)/(x^2-20x+100))÷((2x)/(3x))	$\frac{3 x^{2} - 30 x}{4 x} \cdot \frac{x - 10}{x^{2} - 20 x + 100} \div \frac{2 x}{3 x}$
216179	Simplify	(4 square root of 3)/( cube root of 2)	$\frac{4 \sqrt{3}}{\sqrt[3]{2}}$
216180	Solve the System of Equations	3x-2y+2z=-2 x+6y-2z=-2 x+2y=0	$3 x - 2 y + 2 z = - 2$ $x + 6 y - 2 z = - 2$ $x + 2 y = 0$
216181	Simplify	(1/( square root of 3))^7	${(\frac{1}{\sqrt{3}})}^{7}$
216182	Multiply	cube root of 9xy^2*3 cube root of 3x^4y^6	$\sqrt[3]{9 x y^{2}} \cdot 3 \sqrt[3]{3 x^{4} y^{6}}$
216183	Solve the Inequality for b	-2b>-4-3b	$- 2 b > - 4 - 3 b$
216184	Write in Standard Form	y=(-2x)/11+2	$y = \frac{- 2 x}{11} + 2$
216185	Simplify	8(2w+x)+4w	$8 (2 w + x) + 4 w$
216186	Solve for x	-2/9-8/x=(2x-8)/(9x)	$\frac{- 2}{9} - \frac{8}{x} = \frac{2 x - 8}{9 x}$
216187	Simplify	5/(4m^2)-(4m)/(2n)	$\frac{5}{4 m^{2}} - \frac{4 m}{2 n}$
216188	Find the Slope and y-intercept	0=5y-x	$0 = 5 y - x$
216189	Solve for x	g(x)=(-5x-1)(2x+8)	$g (x) = (- 5 x - 1) (2 x + 8)$
216190	Divide	(-5k^2+k^3+8k+4)÷(-1+k)	$(- 5 k^{2} + k^{3} + 8 k + 4) \div (- 1 + k)$
216191	Convert to a Decimal	9rev per s	$9$ revolutions per second
216192	Subtract	-9x^2y^2+5x^2y-11xy+1 4xy-13x^2y+7	$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1$ $4 x y - 13 x^{2} y + 7$
216193	Solve the System of Equations	y=-3x^2+8x+22 2=2x-y	$y = - 3 x^{2} + 8 x + 22$ $2 = 2 x - y$
216194	Multiply	x^2(-4x^2+8x)	$x^{2} (- 4 x^{2} + 8 x)$
216195	Simplify	(2x^2+x-11)+(x-1)	$(2 x^{2} + x - 11) + (x - 1)$
216196	Solve the System of Equations	1/2x-1/3y=5 x=2/3y+10	$\frac{1}{2} x - \frac{1}{3} y = 5$ $x = \frac{2}{3} y + 10$
216197	Find the LCD	5/(4(x-3)) , 1/4 , 7/(x-3)	$\frac{5}{4 (x - 3)}$ , $\frac{1}{4}$ , $\frac{7}{x - 3}$
216198	Write in Standard Form	1-1/8p^3	$1 - \frac{1}{8} p^{3}$
216199	Simplify the Radical Expression	(2^8z^10)/(2^6z^3)	$\frac{2^{8} z^{10}}{2^{6} z^{3}}$
216200	Simplify the Radical Expression	cube root of 5* cube root of 5^5	$\sqrt[3]{5} \cdot \sqrt[3]{5^{5}}$