Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
185101	Solve for x	(5x)/(x+2)=(3x)/(x+1)	$\frac{5 x}{x + 2} = \frac{3 x}{x + 1}$
185102	Solve for c	log base 2 of 4+ log base 2 of c-9=5	$\log_{2} (4) + \log_{2} (c - 9) = 5$
185103	Factor	3(a+b)+y(a+b)	$3 (a + b) + y (a + b)$
185104	Evaluate Using the Given Value	((2^2x^2)/(xy^3))^2 for x=4 and y=2	${(\frac{2^{2} x^{2}}{x y^{3}})}^{2}$ for $x = 4$ and $y = 2$
185105	Expand the Logarithmic Expression	log of 4x^3y square root of z	$\log (4 x^{3} y \sqrt{z})$
185106	Divide	(x^5)/x	$\frac{x^{5}}{x}$
185107	Solve for m	square root of 9m+15=6	$\sqrt{9 m} + 15 = 6$
185108	Solve for a	(x^(6/5))^(6/5)=x^a	${(x^{\frac{6}{5}})}^{\frac{6}{5}} = x^{a}$
185109	Solve for a	8=1/3(a+5)	$8 = \frac{1}{3} (a + 5)$
185110	Evaluate	7+10*5+10	$7 + 10 \times 5 + 10$
185111	Evaluate	7/(3(x+5)^2-2(x+5))	$\frac{7}{3 {(x + 5)}^{2} - 2 (x + 5)}$
185112	Find All Complex Solutions	3x^(2/3)+x^(1/3)-2=0	$3 x^{\frac{2}{3}} + x^{\frac{1}{3}} - 2 = 0$
185113	Multiply	3/5*2/3	$\frac{3}{5} \cdot \frac{2}{3}$
185114	Solve for z	z+3(z+7)=-5	$z + 3 (z + 7) = - 5$
185115	Solve for v	d=vt+1/2at^2	$d = v t + \frac{1}{2} a t^{2}$
185116	Solve the System of Equations	x+2y=4 2x+4y=8	$x + 2 y = 4$ $2 x + 4 y = 8$
185117	Find the x and y Intercepts	f(x)=(5x+2)^3(x+2)	$f (x) = {(5 x + 2)}^{3} (x + 2)$
185118	Solve for g	2g-4f=6f	$2 g - 4 f = 6 f$
185119	Simplify	(x^3y^6)^-2+(x^2y^4)^-3	${(x^{3} y^{6})}^{- 2} + {(x^{2} y^{4})}^{- 3}$
185120	Solve for x	(3x-2)/4-(2x+5)/3=(1-x)/6	$\frac{3 x - 2}{4} - \frac{2 x + 5}{3} = \frac{1 - x}{6}$
185121	Simplify	cube root of y(2y cube root of 8y^2- cube root of y^5-4 cube root of 8y^2)	$\sqrt[3]{y} (2 y \sqrt[3]{8 y^{2}} - \sqrt[3]{y^{5}} - 4 \sqrt[3]{8 y^{2}})$
185122	Solve the Inequality for b	3(6b-1)>18-3b	$3 (6 b - 1) > 18 - 3 b$
185123	Find All Complex Solutions	log base 4 of x+ log base 4 of x-3 = log base 4 of -7x+21	$\log_{4} (x) + \log_{4} (x - 3) = \log_{4} (- 7 x + 21)$
185124	Simplify	a^2*a^5+(b^2)^3	$a^{2} \cdot a^{5} + {(b^{2})}^{3}$
185125	Graph	y=3/2sin(x+(2pi)/3)	$y = \frac{3}{2} \sin (x + \frac{2 π}{3})$
185126	Identify the Zeros and Their Multiplicities	f(x)=x^5-5x^3-6x	$f (x) = x^{5} - 5 x^{3} - 6 x$
185127	Factor	64x^3+144x^2+108x+27	$64 x^{3} + 144 x^{2} + 108 x + 27$
185128	Solve the Inequality for x	3-x/2>=12	$3 - \frac{x}{2} \geq 12$
185129	Solve the System of Equations	2x-3y-5z=-19 3x-4y+z=-2 x+y+z=6	$2 x - 3 y - 5 z = - 19$ $3 x - 4 y + z = - 2$ $x + y + z = 6$
185130	Solve for x	1400=870(1.01)^(x+3)	$1400 = 870 {(1.01)}^{x + 3}$
185131	Evaluate	15+\|-3\|-4	$15 + \| - 3 \| - 4$
185132	Graph	2\|x\|<4	$2 \| x \| < 4$
185133	Solve for x	x^2+4.5x+5=0	$x^{2} + 4.5 x + 5 = 0$
185134	Solve for x	16+7x-5+x=11x-3-2x	$16 + 7 x - 5 + x = 11 x - 3 - 2 x$
185135	Simplify	(x^2-5x-36)/(x^2+10x+24)*(4x+24)/(6x-54)	$\frac{x^{2} - 5 x - 36}{x^{2} + 10 x + 24} \cdot \frac{4 x + 24}{6 x - 54}$
185136	Simplify	square root of (90x^9)/(5x^3)	$\sqrt{\frac{90 x^{9}}{5 x^{3}}}$
185137	Solve the Inequality for x	x/2+x/3<5	$\frac{x}{2} + \frac{x}{3} < 5$
185138	Multiply	-2/5*5/9	$- \frac{2}{5} \cdot \frac{5}{9}$
185139	Find the Product	(3-4m)^2	${(3 - 4 m)}^{2}$
185140	Solve for x	(2x-7)/4+2x-(4x-9)/3=x/2	$\frac{2 x - 7}{4} + 2 x - \frac{4 x - 9}{3} = \frac{x}{2}$
185141	Simplify	fourth root of 1296/25	$\sqrt[4]{\frac{1296}{25}}$
185142	Solve the System of Equations	2x-y+z=-3 x+3y-z=-2 -4x+2y-3z=1	$2 x - y + z = - 3$ $x + 3 y - z = - 2$ $- 4 x + 2 y - 3 z = 1$
185143	Solve for x	2+(3x)/(x+9)=8/(x^2+9x)	$2 + \frac{3 x}{x + 9} = \frac{8}{x^{2} + 9 x}$
185144	Simplify	((v^2-9)/(3v^2+12))÷((v+3)/(v^2+4))	$\frac{v^{2} - 9}{3 v^{2} + 12} \div \frac{v + 3}{v^{2} + 4}$
185145	Find the x and y Intercepts	y=\|4x-7\|+2	$y = \| 4 x - 7 \| + 2$
185146	Solve for b	a=1/5(b+c-d)	$a = \frac{1}{5} (b + c - d)$
185147	Graph	2y^2+x+20y+51=0	$2 y^{2} + x + 20 y + 51 = 0$
185148	Solve for n	(n-4)/6=(n-7)/9	$\frac{n - 4}{6} = \frac{n - 7}{9}$
185149	Solve for x	1600=1910(0.995)^(0.08x-4)	$1600 = 1910 {(0.995)}^{0.08 x - 4}$
185150	Solve for x	5/9x-5/3=3/4x-1/2	$\frac{5}{9} x - \frac{5}{3} = \frac{3}{4} x - \frac{1}{2}$
185151	Solve for y	y=(1/3)^2	$y = {(\frac{1}{3})}^{2}$
185152	Simplify	(x^8y^-26)/(x^14y^-5*x^-39y^-21)	$\frac{x^{8} y^{- 26}}{x^{14} y^{- 5} \times x^{- 39} y^{- 21}}$
185153	Graph	-1/3y+4x=3	$- \frac{1}{3} y + 4 x = 3$
185154	Solve for x	6+4\|2x+6\|=14	$6 + 4 \| 2 x + 6 \| = 14$
185155	Evaluate	(1+i)^5	${(1 + i)}^{5}$
185156	Evaluate Using the Given Value	3z when z=9	$3 z$ when $z = 9$
185157	Solve the Absolute Value Inequality for y	\|y\|>=4.5	$\| y \| \geq 4.5$
185158	Solve for x	d=x/(x-w)	$d = \frac{x}{x - w}$
185159	Evaluate	(4^5*4^-7)÷(4^-2) ?	$4^{5} \times 4^{- 7} \div 4^{- 2}$ ?
185160	Simplify	( square root of 5)( square root of 5)	$(\sqrt{5}) (\sqrt{5})$
185161	Simplify	(-5jk)/(35j^2k^2)	$\frac{- 5 j k}{35 j^{2} k^{2}}$
185162	Write in Slope-Intercept Form	(4,-8) and (8,5)	$(4, - 8)$ and $(8, 5)$
185163	Solve for x	7^x=( square root of 7)/7	$7^{x} = \frac{\sqrt{7}}{7}$
185164	Solve for x	(x+1)/(x+3)<=2	$\frac{x + 1}{x + 3} \leq 2$
185165	Find the Holes in the Graph	f(x)=(3x^2-7x-6)/(2x^2-5x-3)	$f (x) = \frac{3 x^{2} - 7 x - 6}{2 x^{2} - 5 x - 3}$
185166	Simplify	(3x^3-12x)/(6x^3-24x^2+24x)	$\frac{3 x^{3} - 12 x}{6 x^{3} - 24 x^{2} + 24 x}$
185167	Solve for t	1/4+2/3(t+1)=1/2	$\frac{1}{4} + \frac{2}{3} (t + 1) = \frac{1}{2}$
185168	Describe the Transformation	y=2\|x+1\|	$y = 2 \| x + 1 \|$
185169	Simplify	pi(5)^2	$π {(5)}^{2}$
185170	Solve for g	8g+16=5g-1	$8 g + 16 = 5 g - 1$
185171	Graph	x^2>2x	$x^{2} > 2 x$
185172	Find the Inverse	f(x) = square root of x/(x-1)	$f (x) = \sqrt{\frac{x}{x - 1}}$
185173	Find the x and y Intercepts	h(x)=(x^3+6)/2	$h (x) = \frac{x^{3} + 6}{2}$
185174	Find the x and y Intercepts	f(x)=9x^3+5x-2x^2+2	$f (x) = 9 x^{3} + 5 x - 2 x^{2} + 2$
185175	Simplify	(x^2-6x-16)/(x^2-16x+64)*(x-8)/(x^2+5x+6)	$\frac{x^{2} - 6 x - 16}{x^{2} - 16 x + 64} \cdot \frac{x - 8}{x^{2} + 5 x + 6}$
185176	Simplify	4-16÷4+4^2	$4 - 16 \div 4 + 4^{2}$
185177	Find the Vertices	((x-4)^2)/25-(y^2)/9=1	$\frac{{(x - 4)}^{2}}{25} - \frac{y^{2}}{9} = 1$
185178	Solve for x	a(x+1)=1	$a (x + 1) = 1$
185179	Find the Exact Value	cos(arcsin(6x))	$\cos (\arcsin (6 x))$
185180	Expand the Logarithmic Expression	log of x/( cube root of z^2y^3)	$\log (\frac{x}{\sqrt[3]{z^{2}} y^{3}})$
185181	Find the Domain and Range	1/( square root of 9-x^2)	$\frac{1}{\sqrt{9 - x^{2}}}$
185182	Evaluate the Piecewise Function	f(x)=2x , g(x)=3x^2+6 , g(f(2))	$f (x) = 2 x$ , $g (x) = 3 x^{2} + 6$ , $g (f (2))$
185183	Write in Standard Form	x+1=0	$x + 1 = 0$
185184	Solve the Inequality for x	4(5x+7)<=13	$4 (5 x + 7) \leq 13$
185185	Simplify	-10(r+1)-5r(1-5r)	$- 10 (r + 1) - 5 r (1 - 5 r)$
185186	Solve for b	b = square root of 2b^2-64	$b = \sqrt{2 b^{2} - 64}$
185187	Multiply	(x^2-4)/(x^2-4x+4)*(2x-4)/(x+2)	$\frac{x^{2} - 4}{x^{2} - 4 x + 4} \cdot \frac{2 x - 4}{x + 2}$
185188	Simplify	(2x^5-50x^3)/(x^2+4x-45)*(x^2-81)/(6x^2-24x-270)	$\frac{2 x^{5} - 50 x^{3}}{x^{2} + 4 x - 45} \cdot \frac{x^{2} - 81}{6 x^{2} - 24 x - 270}$
185189	Solve the Absolute Value Inequality for w	-2\|5w-7\|+9=-7	$- 2 \| 5 w - 7 \| + 9 = - 7$
185190	Simplify	(2xy)(-4x^2)+(6x)(6x^2y)	$(2 x y) (- 4 x^{2}) + (6 x) (6 x^{2} y)$
185191	Evaluate	3+3x-1=x+2+2x	$3 + 3 x - 1 = x + 2 + 2 x$
185192	Solve the Inequality for x	x(2x-3)<5x<3x(x+7)	$x (2 x - 3) < 5 x < 3 x (x + 7)$
185193	Solve for p	8+9p=9p-7	$8 + 9 p = 9 p - 7$
185194	Solve for x	1/2\|x-3\|=-2	$\frac{1}{2} \| x - 3 \| = - 2$
185195	Solve for x	4 = cube root of 6x+10	$4 = \sqrt[3]{6 x + 10}$
185196	Solve for c	1/5=5^(2c+3)	$\frac{1}{5} = 5^{2 c + 3}$
185197	Find the Holes in the Graph	(x^2+4x)/(2x^2-5x)	$\frac{x^{2} + 4 x}{2 x^{2} - 5 x}$
185198	Graph	y>x y<4	$y > x$ $y < 4$
185199	Find the LCM	5 and 8	$5$ and $8$
185200	Solve the System of Equations	C=5/9(F-32) F=9/5C+32	$C = \frac{5}{9} (F - 32)$ $F = \frac{9}{5} C + 32$