Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
185101	Write in Standard Form	(x+1)^2+(x-8)^2=45	${(x + 1)}^{2} + {(x - 8)}^{2} = 45$
185102	Subtract	Subtract 9x^2-7x from -4x^2+6	Subtract $9 x^{2} - 7 x$ from $- 4 x^{2} + 6$
185103	Solve for x	7/(x+2)+5/(x-2)=(10x-2)/(x^2-4)	$\frac{7}{x + 2} + \frac{5}{x - 2} = \frac{10 x - 2}{x^{2} - 4}$
185104	Solve for x	z=8+6x-px for x	$z = 8 + 6 x - p x$ for $x$
185105	Simplify	(2a-3b)(2a^2+6b^2)+(6a^2b+12ab^2-7b^3)	$(2 a - 3 b) (2 a^{2} + 6 b^{2}) + (6 a^{2} b + 12 a b^{2} - 7 b^{3})$
185106	Solve for x	3 square root of 9+x=15	$3 \sqrt{9 + x} = 15$
185107	Solve for x	324^2=3x	$324^{2} = 3 x$
185108	Solve for s	4s=t+2	$4 s = t + 2$
185109	Solve the Inequality for x	14x-8>5(8+2x)	$14 x - 8 > 5 (8 + 2 x)$
185110	Graph Using a Table of Values	h(x)=(1/5)^x	$h (x) = {(\frac{1}{5})}^{x}$
185111	Find the Complex Conjugate	7/2i	$\frac{7}{2} i$
185112	Simplify	(x^2-100)/(9x^2-27x-630)*(x-8)/(x^2+2x-80)	$\frac{x^{2} - 100}{9 x^{2} - 27 x - 630} \cdot \frac{x - 8}{x^{2} + 2 x - 80}$
185113	Simplify	cube root of 8/64	$\sqrt[3]{\frac{8}{64}}$
185114	Solve the System of Equations	y=10x-6 y=x-2	$y = 10 x - 6$ $y = x - 2$
185115	Factor	3xy-3xz+3x-y+z-1	$3 x y - 3 x z + 3 x - y + z - 1$
185116	Solve for x	(5x)/(x+2)=(3x)/(x+1)	$\frac{5 x}{x + 2} = \frac{3 x}{x + 1}$
185117	Solve for c	log base 2 of 4+ log base 2 of c-9=5	$\log_{2} (4) + \log_{2} (c - 9) = 5$
185118	Factor	3(a+b)+y(a+b)	$3 (a + b) + y (a + b)$
185119	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 $y = 2$
185120	Expand the Logarithmic Expression	log of 4x^3y square root of z	$\log (4 x^{3} y \sqrt{z})$
185121	Divide	(x^5)/x	$\frac{x^{5}}{x}$
185122	Solve for m	square root of 9m+15=6	$\sqrt{9 m} + 15 = 6$
185123	Solve for a	(x^(6/5))^(6/5)=x^a	${(x^{\frac{6}{5}})}^{\frac{6}{5}} = x^{a}$
185124	Solve for a	8=1/3(a+5)	$8 = \frac{1}{3} (a + 5)$
185125	Evaluate	7+10*5+10	$7 + 10 \times 5 + 10$
185126	Evaluate	7/(3(x+5)^2-2(x+5))	$\frac{7}{3 {(x + 5)}^{2} - 2 (x + 5)}$
185127	Find All Complex Solutions	3x^(2/3)+x^(1/3)-2=0	$3 x^{\frac{2}{3}} + x^{\frac{1}{3}} - 2 = 0$
185128	Multiply	3/5*2/3	$\frac{3}{5} \cdot \frac{2}{3}$
185129	Solve for z	z+3(z+7)=-5	$z + 3 (z + 7) = - 5$
185130	Solve for v	d=vt+1/2at^2	$d = v t + \frac{1}{2} a t^{2}$
185131	Solve the System of Equations	x+2y=4 2x+4y=8	$x + 2 y = 4$ $2 x + 4 y = 8$
185132	Find the x and y Intercepts	f(x)=(5x+2)^3(x+2)	$f (x) = {(5 x + 2)}^{3} (x + 2)$
185133	Solve for g	2g-4f=6f	$2 g - 4 f = 6 f$
185134	Simplify	(x^3y^6)^-2+(x^2y^4)^-3	${(x^{3} y^{6})}^{- 2} + {(x^{2} y^{4})}^{- 3}$
185135	Solve for x	(3x-2)/4-(2x+5)/3=(1-x)/6	$\frac{3 x - 2}{4} - \frac{2 x + 5}{3} = \frac{1 - x}{6}$
185136	Simplify	cube root of y(2y cube root of 8y^2- cube root of y^5-4 cube root of 8y^2)	$\sqrt[3]{y} (2 y \sqrt[3]{8 y^{2}} - \sqrt[3]{y^{5}} - 4 \sqrt[3]{8 y^{2}})$
185137	Solve the Inequality for b	3(6b-1)>18-3b	$3 (6 b - 1) > 18 - 3 b$
185138	Find All Complex Solutions	log base 4 of x+ log base 4 of x-3 = log base 4 of -7x+21	$\log_{4} (x) + \log_{4} (x - 3) = \log_{4} (- 7 x + 21)$
185139	Simplify	a^2*a^5+(b^2)^3	$a^{2} \cdot a^{5} + {(b^{2})}^{3}$
185140	Graph	y=3/2sin(x+(2pi)/3)	$y = \frac{3}{2} \sin (x + \frac{2 π}{3})$
185141	Identify the Zeros and Their Multiplicities	f(x)=x^5-5x^3-6x	$f (x) = x^{5} - 5 x^{3} - 6 x$
185142	Factor	64x^3+144x^2+108x+27	$64 x^{3} + 144 x^{2} + 108 x + 27$
185143	Solve the Inequality for x	3-x/2>=12	$3 - \frac{x}{2} \geq 12$
185144	Solve the System of Equations	2x-3y-5z=-19 3x-4y+z=-2 x+y+z=6	$2 x - 3 y - 5 z = - 19$ $3 x - 4 y + z = - 2$ $x + y + z = 6$
185145	Solve for x	1400=870(1.01)^(x+3)	$1400 = 870 {(1.01)}^{x + 3}$
185146	Evaluate	15+\|-3\|-4	$15 + \| - 3 \| - 4$
185147	Graph	2\|x\|<4	$2 \| x \| < 4$
185148	Solve for x	x^2+4.5x+5=0	$x^{2} + 4.5 x + 5 = 0$
185149	Solve for x	16+7x-5+x=11x-3-2x	$16 + 7 x - 5 + x = 11 x - 3 - 2 x$
185150	Simplify	(x^2-5x-36)/(x^2+10x+24)*(4x+24)/(6x-54)	$\frac{x^{2} - 5 x - 36}{x^{2} + 10 x + 24} \cdot \frac{4 x + 24}{6 x - 54}$
185151	Simplify	square root of (90x^9)/(5x^3)	$\sqrt{\frac{90 x^{9}}{5 x^{3}}}$
185152	Solve the Inequality for x	x/2+x/3<5	$\frac{x}{2} + \frac{x}{3} < 5$
185153	Multiply	-2/5*5/9	$- \frac{2}{5} \cdot \frac{5}{9}$
185154	Find the Product	(3-4m)^2	${(3 - 4 m)}^{2}$
185155	Solve for x	(2x-7)/4+2x-(4x-9)/3=x/2	$\frac{2 x - 7}{4} + 2 x - \frac{4 x - 9}{3} = \frac{x}{2}$
185156	Simplify	fourth root of 1296/25	$\sqrt[4]{\frac{1296}{25}}$
185157	Solve the System of Equations	2x-y+z=-3 x+3y-z=-2 -4x+2y-3z=1	$2 x - y + z = - 3$ $x + 3 y - z = - 2$ $- 4 x + 2 y - 3 z = 1$
185158	Solve for x	2+(3x)/(x+9)=8/(x^2+9x)	$2 + \frac{3 x}{x + 9} = \frac{8}{x^{2} + 9 x}$
185159	Simplify	((v^2-9)/(3v^2+12))÷((v+3)/(v^2+4))	$\frac{v^{2} - 9}{3 v^{2} + 12} \div \frac{v + 3}{v^{2} + 4}$
185160	Find the x and y Intercepts	y=\|4x-7\|+2	$y = \| 4 x - 7 \| + 2$
185161	Solve for b	a=1/5(b+c-d)	$a = \frac{1}{5} (b + c - d)$
185162	Graph	2y^2+x+20y+51=0	$2 y^{2} + x + 20 y + 51 = 0$
185163	Solve for n	(n-4)/6=(n-7)/9	$\frac{n - 4}{6} = \frac{n - 7}{9}$
185164	Solve for x	1600=1910(0.995)^(0.08x-4)	$1600 = 1910 {(0.995)}^{0.08 x - 4}$
185165	Solve for x	5/9x-5/3=3/4x-1/2	$\frac{5}{9} x - \frac{5}{3} = \frac{3}{4} x - \frac{1}{2}$
185166	Solve for y	y=(1/3)^2	$y = {(\frac{1}{3})}^{2}$
185167	Simplify	(x^8y^-26)/(x^14y^-5*x^-39y^-21)	$\frac{x^{8} y^{- 26}}{x^{14} y^{- 5} \times x^{- 39} y^{- 21}}$
185168	Graph	-1/3y+4x=3	$- \frac{1}{3} y + 4 x = 3$
185169	Solve for x	6+4\|2x+6\|=14	$6 + 4 \| 2 x + 6 \| = 14$
185170	Evaluate	(1+i)^5	${(1 + i)}^{5}$
185171	Evaluate Using the Given Value	3z when z=9	$3 z$ when $z = 9$
185172	Solve the Absolute Value Inequality for y	\|y\|>=4.5	$\| y \| \geq 4.5$
185173	Solve for x	d=x/(x-w)	$d = \frac{x}{x - w}$
185174	Evaluate	(4^5*4^-7)÷(4^-2) ?	$4^{5} \times 4^{- 7} \div 4^{- 2}$ ?
185175	Simplify	( square root of 5)( square root of 5)	$(\sqrt{5}) (\sqrt{5})$
185176	Simplify	(-5jk)/(35j^2k^2)	$\frac{- 5 j k}{35 j^{2} k^{2}}$
185177	Write in Slope-Intercept Form	(4,-8) and (8,5)	$(4, - 8)$ and $(8, 5)$
185178	Solve for x	7^x=( square root of 7)/7	$7^{x} = \frac{\sqrt{7}}{7}$
185179	Solve for x	(x+1)/(x+3)<=2	$\frac{x + 1}{x + 3} \leq 2$
185180	Find the Holes in the Graph	f(x)=(3x^2-7x-6)/(2x^2-5x-3)	$f (x) = \frac{3 x^{2} - 7 x - 6}{2 x^{2} - 5 x - 3}$
185181	Simplify	(3x^3-12x)/(6x^3-24x^2+24x)	$\frac{3 x^{3} - 12 x}{6 x^{3} - 24 x^{2} + 24 x}$
185182	Solve for t	1/4+2/3(t+1)=1/2	$\frac{1}{4} + \frac{2}{3} (t + 1) = \frac{1}{2}$
185183	Describe the Transformation	y=2\|x+1\|	$y = 2 \| x + 1 \|$
185184	Simplify	pi(5)^2	$π {(5)}^{2}$
185185	Solve for g	8g+16=5g-1	$8 g + 16 = 5 g - 1$
185186	Graph	x^2>2x	$x^{2} > 2 x$
185187	Find the Inverse	f(x) = square root of x/(x-1)	$f (x) = \sqrt{\frac{x}{x - 1}}$
185188	Find the x and y Intercepts	h(x)=(x^3+6)/2	$h (x) = \frac{x^{3} + 6}{2}$
185189	Find the x and y Intercepts	f(x)=9x^3+5x-2x^2+2	$f (x) = 9 x^{3} + 5 x - 2 x^{2} + 2$
185190	Simplify	(x^2-6x-16)/(x^2-16x+64)*(x-8)/(x^2+5x+6)	$\frac{x^{2} - 6 x - 16}{x^{2} - 16 x + 64} \cdot \frac{x - 8}{x^{2} + 5 x + 6}$
185191	Simplify	4-16÷4+4^2	$4 - 16 \div 4 + 4^{2}$
185192	Find the Vertices	((x-4)^2)/25-(y^2)/9=1	$\frac{{(x - 4)}^{2}}{25} - \frac{y^{2}}{9} = 1$
185193	Solve for x	a(x+1)=1	$a (x + 1) = 1$
185194	Find the Exact Value	cos(arcsin(6x))	$\cos (\arcsin (6 x))$
185195	Expand the Logarithmic Expression	log of x/( cube root of z^2y^3)	$\log (\frac{x}{\sqrt[3]{z^{2}} y^{3}})$
185196	Find the Domain and Range	1/( square root of 9-x^2)	$\frac{1}{\sqrt{9 - x^{2}}}$
185197	Evaluate the Piecewise Function	f(x)=2x , g(x)=3x^2+6 , g(f(2))	$f (x) = 2 x$ , $g (x) = 3 x^{2} + 6$ , $g (f (2))$
185198	Write in Standard Form	x+1=0	$x + 1 = 0$
185199	Solve the Inequality for x	4(5x+7)<=13	$4 (5 x + 7) \leq 13$
185200	Simplify	-10(r+1)-5r(1-5r)	$- 10 (r + 1) - 5 r (1 - 5 r)$