Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
183401	Multiply	(m^2+m-2)(2m^2+3m-4)	$(m^{2} + m - 2) (2 m^{2} + 3 m - 4)$
183402	Simplify	4/(5a^3b^2)+(9c)/(10ab)	$\frac{4}{5 a^{3} b^{2}} + \frac{9 c}{10 a b}$
183403	Divide Using Long Polynomial Division	(x^4+4x^3-5x^2+x-3)/(x^2+x-3)	$\frac{x^{4} + 4 x^{3} - 5 x^{2} + x - 3}{x^{2} + x - 3}$
183404	Solve for m	n+7m=d	$n + 7 m = d$
183405	Find All Complex Solutions	square root of -2x-5-4=x	$\sqrt{- 2 x - 5} - 4 = x$
183406	Evaluate the Function	f(-2)=-2^2	$f (- 2) = - 2^{2}$
183407	Solve the Inequality for x	x^2-36<=0	$x^{2} - 36 \leq 0$
183408	Simplify	-1/2+3/4	$- \frac{1}{2} + \frac{3}{4}$
183409	Solve for X	W=2XY+2XZ	$W = 2 X Y + 2 X Z$
183410	Solve for x	x=-1^2	$x = - 1^{2}$
183411	Write in Standard Form	(x+6)(3x-2)=5+2x	$(x + 6) (3 x - 2) = 5 + 2 x$
183412	Graph	y=3/2sin(x-pi/3)	$y = \frac{3}{2} \sin (x - \frac{π}{3})$
183413	Simplify	x/(x^2+7x+12)+4/(x^2-16)	$\frac{x}{x^{2} + 7 x + 12} + \frac{4}{x^{2} - 16}$
183414	Solve the Inequality for x	x-7>-3.1	$x - 7 > - 3.1$
183415	Find the x and y Intercepts	f(x) = square root of -x-2-2	$f (x) = \sqrt{- x - 2} - 2$
183416	Solve for b	\|b+3\|>=7	$\| b + 3 \| \geq 7$
183417	Find the Domain and Range	(x)=(1/3)^(-x+1)	$(x) = {(\frac{1}{3})}^{- x + 1}$
183418	Solve the System of Inequalities	1/8x-5<-8 or 7x-4>=38	$\frac{1}{8} x - 5 < - 8$ or $7 x - 4 \geq 38$
183419	Divide	3/41/8	$\frac{3}{4} \cdot \frac{1}{8}$
183420	Evaluate	(2 square root of x)^2	${(2 \sqrt{x})}^{2}$
183421	Solve the Inequality for x	(x+27)/(x+4)<9	$\frac{x + 27}{x + 4} < 9$
183422	Find the Quadratic Equation Given the Roots	2 and 5	$2$ and $5$
183423	Simplify	(x-2)/(x^2+x-6)	$\frac{x - 2}{x^{2} + x - 6}$
183424	Evaluate	7/9+7/8(1/3)^2	$\frac{7}{9} + \frac{7}{8} {(\frac{1}{3})}^{2}$
183425	Evaluate Using the Given Value	4g-12 when g=5	$4 g - 12$ when $g = 5$
183426	Solve the System of Equations	x-y+2z=9 -2x+y+z=-1 2x+2y-z=-5	$x - y + 2 z = 9$ $- 2 x + y + z = - 1$ $2 x + 2 y - z = - 5$
183427	Simplify	-5/4a^2-3/2ab+1/2a^2+5ab-3a^2-1/2ab	$- \frac{5}{4} a^{2} - \frac{3}{2} a b + \frac{1}{2} a^{2} + 5 a b - 3 a^{2} - \frac{1}{2} a b$
183428	Factor	(x^2+12x+36)	$(x^{2} + 12 x + 36)$
183429	Evaluate	(1/2 square root of 3)^2	${(\frac{1}{2} \sqrt{3})}^{2}$
183430	Solve Using the Quadratic Formula	(t+2)^2+(t-3)^2=9	${(t + 2)}^{2} + {(t - 3)}^{2} = 9$
183431	Solve for v	10-16v=-6v^2	$10 - 16 v = - 6 v^{2}$
183432	Graph	(0,1/2)	$(0, \frac{1}{2})$
183433	Solve for x	(x+2)^(x+4)=(x+2)^(x^2+3x+1)	${(x + 2)}^{x + 4} = {(x + 2)}^{x^{2} + 3 x + 1}$
183434	Find the Domain and Range	f(x) = square root of x^2-1	$f (x) = \sqrt{x^{2}} - 1$
183435	Find the Exact Value	sin(pi/4)cos((7pi)/12)+cos(pi/4)sin((7pi)/12)	$\sin (\frac{π}{4}) \cos (\frac{7 π}{12}) + \cos (\frac{π}{4}) \sin (\frac{7 π}{12})$
183436	Find the x and y Intercepts	f(x)=-2x^5-3x^2+2x-3x^4-6x^3	$f (x) = - 2 x^{5} - 3 x^{2} + 2 x - 3 x^{4} - 6 x^{3}$
183437	Simplify	1/( square root of 3+2)	$\frac{1}{\sqrt{3} + 2}$
183438	Graph	0<x	$0 < x$
183439	Evaluate	(2i)^2	${(2 i)}^{2}$
183440	Find the Equation Using Point-Slope Formula	(1,-7) , slope=-1	$(1, - 7)$ , $s l o p e = - 1$
183441	Simplify	(( square root of 3)/2)÷(-1/2)	$\frac{\sqrt{3}}{2} \div (- \frac{1}{2})$
183442	Solve for y	\|y-1\|<=6	$\| y - 1 \| \leq 6$
183443	Graph Using a Table of Values	y=x^2-2x-8	$y = x^{2} - 2 x - 8$
183444	Find u(w(x))	u(x)=x^2+6 w(x) = square root of x+1	$u (x) = x^{2} + 6$ $w (x) = \sqrt{x + 1}$
183445	Graph	y<1/2x+4 y>=-x+1	$y < \frac{1}{2} x + 4$ $y \geq - x + 1$
183446	Solve for x	\|x^3-4x\|=7-x	$\| x^{3} - 4 x \| = 7 - x$
183447	Evaluate	4*180/pi	$4 \cdot \frac{180}{π}$
183448	Graph	f(x)=1/(x(x-2))	$f (x) = \frac{1}{x (x - 2)}$
183449	Simplify	(2x^3)^(1/2)+x^(4/3)-x^-1	${(2 x^{3})}^{\frac{1}{2}} + x^{\frac{4}{3}} - x^{- 1}$
183450	Simplify	( square root of x- square root of y)( square root of x+ square root of y)	$(\sqrt{x} - \sqrt{y}) (\sqrt{x} + \sqrt{y})$
183451	Expand the Logarithmic Expression	log of (z^2)/( cube root of yx^2)	$\log (\frac{z^{2}}{\sqrt[3]{y} x^{2}})$
183452	Solve for x	3\|x+3\|+2>=29	$3 \| x + 3 \| + 2 \geq 29$
183453	Solve the Rational Equation for x	7/x+1/4=9/x	$\frac{7}{x} + \frac{1}{4} = \frac{9}{x}$
183454	Evaluate	6+9(10-2(2+3))	$6 + 9 (10 - 2 (2 + 3))$
183455	Rationalize the Denominator	square root of 12/5	$\sqrt{\frac{12}{5}}$
183456	Simplify	i/(1+i)	$\frac{i}{1 + i}$
183457	Evaluate	5^(x-2)=216	$5^{x - 2} = 216$
183458	Evaluate	(1+0.08/4)	$(1 + \frac{0.08}{4})$
183459	Find the Exact Value	6/2(2+1)	$\frac{6}{2} (2 + 1)$
183460	Simplify	(2q^2-4q)/(4q^2-36)-6/(4q^2-36)	$\frac{2 q^{2} - 4 q}{4 q^{2} - 36} - \frac{6}{4 q^{2} - 36}$
183461	Simplify	5/(n+1)-3/(2(n-1))	$\frac{5}{n + 1} - \frac{3}{2 (n - 1)}$
183462	Write in Standard Form	y=(x+4)(x+3)	$y = (x + 4) (x + 3)$
183463	Graph	9(x-2)^2-16y^2+225=0	$9 {(x - 2)}^{2} - 16 y^{2} + 225 = 0$
183464	Graph	y=1/8*2^x+3	$y = \frac{1}{8} \cdot 2^{x} + 3$
183465	Solve for x	3cos(x)^2-4cos(x)=0	$3 \cos^{2} (x) - 4 \cos (x) = 0$
183466	Determine if Linear	5x^2+ay=2	$5 x^{2} + a y = 2$
183467	Solve for a	(x^(3/2))^6=x^a	${(x^{\frac{3}{2}})}^{6} = x^{a}$
183468	Evaluate	(27 cube root of z^2)^(1/3)	${(27 \sqrt[3]{z^{2}})}^{\frac{1}{3}}$
183469	Solve for x	x^3+x^2-17x+15=0	$x^{3} + x^{2} - 17 x + 15 = 0$
183470	Simplify	square root of square root of 5	$\sqrt{\sqrt{5}}$
183471	Graph	p(x)=x(x+2)(2x+7)	$p (x) = x (x + 2) (2 x + 7)$
183472	Solve for x	5(2x-6)+2(4x+3)=8x-9	$5 (2 x - 6) + 2 (4 x + 3) = 8 x - 9$
183473	Solve the System of Equations	1/4x-1/2y=3 1/2x-3/5y=-2	$\frac{1}{4} x - \frac{1}{2} y = 3$ $\frac{1}{2} x - \frac{3}{5} y = - 2$
183474	Graph	y=(x^2-4)/(x+2)	$y = \frac{x^{2} - 4}{x + 2}$
183475	Evaluate	-8(2)^(3(0))+3	$- 8 {(2)}^{3 (0)} + 3$
183476	Solve for θ	2cos(theta)^2-sin(theta)=1	$2 \cos^{2} (θ) - \sin (θ) = 1$
183477	Solve for k	2(k+4)=3(k-2)	$2 (k + 4) = 3 (k - 2)$
183478	Graph	f(x)=(x^2-4)/(x^2-4x)	$f (x) = \frac{x^{2} - 4}{x^{2} - 4 x}$
183479	Simplify	-4x+2y+z-3x+2y-2z	$- 4 x + 2 y + z - 3 x + 2 y - 2 z$
183480	Find f(g(x))	f(x)=5x-4 and g(x)=2x^2-3	$f (x) = 5 x - 4$ and $g (x) = 2 x^{2} - 3$
183481	Graph	F(x)=tan(1/2x)	$F (x) = \tan (\frac{1}{2} x)$
183482	Find the Exact Value	i^31	$i^{31}$
183483	Write in Exponential Form	log base 4 of 1/32=-5/2	$\log_{4} (\frac{1}{32}) = - \frac{5}{2}$
183484	Simplify	1+3(r-8)-4(r+4)	$1 + 3 (r - 8) - 4 (r + 4)$
183485	Evaluate Using the Given Value	p/2-5 when p=14	$\frac{p}{2} - 5$ when $p = 14$
183486	Solve for x	2.1=1.01^(x/5-4)+1	$2.1 = {1.01}^{\frac{x}{5} - 4} + 1$
183487	Find the x and y Intercepts	f(x)=(2x^2-5x-12)/(x^2-16)	$f (x) = \frac{2 x^{2} - 5 x - 12}{x^{2} - 16}$
183488	Graph	tan(theta)<0 and sin(theta)<0	$\tan (θ) < 0$ and $\sin (θ) < 0$
183489	Find the x and y Intercepts	(x-5)(-x+4)=y	$(x - 5) (- x + 4) = y$
183490	Solve for a	ax^2-bx-c=0 for a	$a x^{2} - b x - c = 0$ for $a$
183491	Subtract	(-4x^4-2y^3+6z^3+4)-(-9x^4-3y^3+4z^3+9)	$(- 4 x^{4} - 2 y^{3} + 6 z^{3} + 4) - (- 9 x^{4} - 3 y^{3} + 4 z^{3} + 9)$
183492	Solve for x	2/3x-1/2=4/3-x	$\frac{2}{3} x - \frac{1}{2} = \frac{4}{3} - x$
183493	Solve the Inequality for x	10-2(3x+4)<11	$10 - 2 (3 x + 4) < 11$
183494	Solve the System of Equations	6x+5y=2 3x+1/2y=-7	$6 x + 5 y = 2$ $3 x + \frac{1}{2} y = - 7$
183495	Factor	(x^3+x^2-16x-16)	$(x^{3} + x^{2} - 16 x - 16)$
183496	Solve for x	cube root of x-10=-7	$\sqrt[3]{x} - 10 = - 7$
183497	Solve for x	(3x+8)^2-10=-6	${(3 x + 8)}^{2} - 10 = - 6$
183498	Find the Roots (Zeros)	3x^5-2x+1=0	$3 x^{5} - 2 x + 1 = 0$
183499	Divide	(610^8)÷(1.510^-4)	$(6 \times 10^{8}) \div (1.5 \times 10^{- 4})$
183500	Solve Using the Quadratic Formula	(2x-3)^2-(x+5)^2=-23	${(2 x - 3)}^{2} - {(x + 5)}^{2} = - 23$