Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
218201	Divide	8÷( square root of 8)	$8 \div \sqrt{8}$
218202	Evaluate	square root of 4-3x=x	$\sqrt{4 - 3 x} = x$
218203	Find the Degree	4xy^2+3x-5	$4 x y^{2} + 3 x - 5$
218204	Divide	((x^2-x-12)/(4x+12))÷((x^2-6x+8)/6)	$\frac{x^{2} - x - 12}{4 x + 12} \div \frac{x^{2} - 6 x + 8}{6}$
218205	Write in Standard Form	(2+4i^5)+(1-9i^6)-(3+i^7)	$(2 + 4 i^{5}) + (1 - 9 i^{6}) - (3 + i^{7})$
218206	Solve for y	9-4y^2=57	$9 - 4 y^{2} = 57$
218207	Write the Fraction in Simplest Form	(4t^9s)/((2t^4s^-3)^-3)	$\frac{4 t^{9} s}{{(2 t^{4} s^{- 3})}^{- 3}}$
218208	Graph	-2\|x+1\|+11<5	$- 2 \| x + 1 \| + 11 < 5$
218209	Solve for b	256^(b+2)=4^(2-2b)	$256^{b + 2} = 4^{2 - 2 b}$
218210	Find the Degree, Leading Term, and Leading Coefficient	h(x)=-2x(x-1)(3-x)^2	$h (x) = - 2 x (x - 1) {(3 - x)}^{2}$
218211	Solve for x	square root of 2x+5-4=3	$\sqrt{2 x + 5 - 4} = 3$
218212	Solve for k	1/3(9k+12)=15	$\frac{1}{3} (9 k + 12) = 15$
218213	Solve for p	3/(2p+5)=1/(9p)	$\frac{3}{2 p + 5} = \frac{1}{9 p}$
218214	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^4-2x^3-7x^2-12x-9 is divided by x+1	Use synthetic division to find the result when $2 x^{4} - 2 x^{3} - 7 x^{2} - 12 x - 9$ is divided by $x + 1$
218215	Solve for x	h(x)=(-4x-5)(-x+5)	$h (x) = (- 4 x - 5) (- x + 5)$
218216	Simplify the Radical Expression	( square root of 11- square root of 10)/( square root of 11+ square root of 10)	$\frac{\sqrt{11} - \sqrt{10}}{\sqrt{11} + \sqrt{10}}$
218217	Solve the Inequality for g	25g>=-100	$25 g \geq - 100$
218218	Simplify	(6i)/(9-9i)	$\frac{6 i}{9 - 9 i}$
218219	Simplify	square root of 2ab+ fourth root of 4a^2b^2	$\sqrt{2 a b} + \sqrt[4]{4 a^{2} b^{2}}$
218220	Evaluate	sin(0)+cos(0)	$\sin (0) + \cos (0)$
218221	Divide	(45p^5q^4-60p^3q^2-15p^2q^3)/(15p^2q^3)	$\frac{45 p^{5} q^{4} - 60 p^{3} q^{2} - 15 p^{2} q^{3}}{15 p^{2} q^{3}}$
218222	Solve the Inequality for x	(\|x+6\|)/8<=1	$\frac{\| x + 6 \|}{8} \leq 1$
218223	Graph	y=x-2 5x-5y=10	$y = x - 2$ $5 x - 5 y = 10$
218224	Solve for x	850=(54.5)(4.22)+1/2(x)(4.22)^2	$850 = (54.5) (4.22) + \frac{1}{2} (x) {(4.22)}^{2}$
218225	Simplify	(-2x^2y^6*4x^3y^6)^2	${(- 2 x^{2} y^{6} \cdot 4 x^{3} y^{6})}^{2}$
218226	Find the Exact Value	1+tan(x)^2	$1 + \tan^{2} (x)$
218227	Evaluate	arcsin(sin(pi/12))	$\arcsin (\sin (\frac{π}{12}))$
218228	Simplify	(c+6b)/(ac+2bc-6ab-3a^2)+(2b)/(a^2+2ab)-b/(ac-3a^2)	$\frac{(c + 6 b)}{a c + 2 b c - 6 a b - 3 a^{2}} + \frac{2 b}{a^{2} + 2 a b} - \frac{b}{a c - 3 a^{2}}$
218229	Solve for z	(12z+1)(7z-5)=0	$(12 z + 1) (7 z - 5) = 0$
218230	Simplify	1/4xy(4xy)^3	$\frac{1}{4} x y {(4 x y)}^{3}$
218231	Solve for y	(x+y)/2=6	$\frac{x + y}{2} = 6$
218232	Evaluate	cube root of 1000/-1331	$\sqrt[3]{\frac{1000}{- 1331}}$
218233	Simplify the Radical Expression	12 square root of 25/64	$12 \sqrt{\frac{25}{64}}$
218234	Find the Domain and Range	- cube root of 2x	$- \sqrt[3]{2 x}$
218235	Solve Using the Square Root Property	3(x+1)^2-15=-12	$3 {(x + 1)}^{2} - 15 = - 12$
218236	Find the Inverse	y=(2x-1)/(x+3)	$y = \frac{2 x - 1}{x + 3}$
218237	Subtract	-3x^2-x-10 and 10x^2+x-10	$- 3 x^{2} - x - 10$ and $10 x^{2} + x - 10$
218238	Simplify	(-3u^2)(-u^2v^2)(2uv)	$(- 3 u^{2}) (- u^{2} v^{2}) (2 u v)$
218239	Find All Complex Solutions	31p^2+10p+1=6p^2	$31 p^{2} + 10 p + 1 = 6 p^{2}$
218240	Simplify	(m^3)^-1(x^(1/3))^(1/4)	${(m^{3})}^{- 1} {(x^{\frac{1}{3}})}^{\frac{1}{4}}$
218241	Simplify	(2x+1)/(x-2)+(x-3)/(x^2+2x-8)	$\frac{2 x + 1}{x - 2} + \frac{x - 3}{x^{2} + 2 x - 8}$
218242	Solve for x	square root of (x+1)^3=9	$\sqrt{{(x + 1)}^{3}} = 9$
218243	Simplify	x^2(-10x^2+1)	$x^{2} (- 10 x^{2} + 1)$
218244	Simplify	3/(3-3/(x+3))-3/(3+3/(x+3))	$\frac{3}{3 - \frac{3}{x + 3}} - \frac{3}{3 + \frac{3}{x + 3}}$
218245	Evaluate	1+ log base 2 of 3	$1 + \log_{2} (3)$
218246	Simplify	( square root of 3- square root of 8)/( square root of 8+ square root of 12)	$\frac{\sqrt{3} - \sqrt{8}}{\sqrt{8} + \sqrt{12}}$
218247	Factor	16a^3bc-49ab^3c	$16 a^{3} b c - 49 a b^{3} c$
218248	Find the Degree	w^5+w^8x^3y^6-y^7	$w^{5} + w^{8} x^{3} y^{6} - y^{7}$
218249	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+19x^2+29x+14 is divided by 4x+7	Use the long division method to find the result when $4 x^{3} + 19 x^{2} + 29 x + 14$ is divided by $4 x + 7$
218250	Find the Quotient	(4x^3-12x^2+8x)/(-4x)	$\frac{4 x^{3} - 12 x^{2} + 8 x}{- 4 x}$
218251	Solve for y	5+3(y-4)=5(y+2)-y	$5 + 3 (y - 4) = 5 (y + 2) - y$
218252	Solve for k	square root of k-4-1=5	$\sqrt{k - 4} - 1 = 5$
218253	Simplify	square root of cube root of 9m^4	$\sqrt{\sqrt[3]{9 m^{4}}}$
218254	Evaluate	7/(sin(30))	$\frac{7}{\sin (30)}$
218255	Find the Domain and Range	f(x)=5* log of -x	$f (x) = 5 \cdot \log (- x)$
218256	Find the Parabola with Focus (0,4) and Directrix y=2	(0,4) y=2	$(0, 4)$ $y = 2$
218257	Divide Using Synthetic Division	Use synthetic division to find the result when x^4-3x^3-3x^2+11x+10 is divided by x+1	Use synthetic division to find the result when $x^{4} - 3 x^{3} - 3 x^{2} + 11 x + 10$ is divided by $x + 1$
218258	Solve the System of Equations	x-y+2z=2 2y-4z=8 -x+4z=-10	$x - y + 2 z = 2$ $2 y - 4 z = 8$ $- x + 4 z = - 10$
218259	Solve for n	8^(n-2) = square root of 8	$8^{n - 2} = \sqrt{8}$
218260	Solve the System of Inequalities	0.7x-2.1<0 2/3x>1	$0.7 x - 2.1 < 0$ $\frac{2}{3} x > 1$
218261	Solve the Inequality for x	3x^2-8x-120>x	$3 x^{2} - 8 x - 120 > x$
218262	Simplify	(a^3b^-2)/(ab)	$\frac{a^{3} b^{- 2}}{a b}$
218263	Simplify	(a^-3b^-2)/(ab)	$\frac{a^{- 3} b^{- 2}}{a b}$
218264	Simplify	x/(x^2-25)+(x^2)/(x-5)	$\frac{x}{x^{2} - 25} + \frac{x^{2}}{x - 5}$
218265	Solve for x	(x+1)(x^2-3x+2)<0	$(x + 1) (x^{2} - 3 x + 2) < 0$
218266	Simplify	(5- square root of -49)+(2+3i)	$(5 - \sqrt{- 49}) + (2 + 3 i)$
218267	Write in Slope-Intercept Form	-2(x+3y)=12	$- 2 (x + 3 y) = 12$
218268	Simplify	(7x)/6*1/(3x)	$\frac{7 x}{6} \cdot \frac{1}{3 x}$
218269	Graph Using a Table of Values	y=(1/3)^x-2	$y = {(\frac{1}{3})}^{x} - 2$
218270	Evaluate	(1/3)÷(3/5)-1/2*3/5	$\frac{1}{3} \div \frac{3}{5} - \frac{1}{2} \cdot \frac{3}{5}$
218271	Graph	f(x)=(x^2-4)/(2x^2-11x+14)	$f (x) = \frac{x^{2} - 4}{2 x^{2} - 11 x + 14}$
218272	Divide	(9n^3+n^2+3n)/(9n^2)	$\frac{9 n^{3} + n^{2} + 3 n}{9 n^{2}}$
218273	Simplify	(512/216)^(1/3)	${(\frac{512}{216})}^{\frac{1}{3}}$
218274	Simplify	(16bc-12cd)+(8cd-6bc+4bd)	$(16 b c - 12 c d) + (8 c d - 6 b c + 4 b d)$
218275	Solve the Inequality for x	-3x^2+45>=6x	$- 3 x^{2} + 45 \geq 6 x$
218276	Simplify	5/(y-3)+1/(y+3)-(4y-18)/(y^2-9)	$\frac{5}{y - 3} + \frac{1}{y + 3} - \frac{4 y - 18}{y^{2} - 9}$
218277	Simplify	5x^2-(3x-6x^2)+6+(7x-2)	$5 x^{2} - (3 x - 6 x^{2}) + 6 + (7 x - 2)$
218278	Solve for k	4*10^k=60	$4 \cdot 10^{k} = 60$
218279	Rationalize the Denominator	-2/(-4+ square root of 14)	$\frac{- 2}{- 4 + \sqrt{14}}$
218280	Simplify	(y^2)/(y-3)-6/(2y-6)	$\frac{y^{2}}{y - 3} - \frac{6}{2 y - 6}$
218281	Simplify	((2x)*(3x^2))/(x^2)	$\frac{(2 x) \cdot (3 x^{2})}{x^{2}}$
218282	Multiply	(5x^3)(4xy^2)	$(5 x^{3}) (4 x y^{2})$
218283	Simplify	((a^2-b^2)/(b^3))/((b^2-ab)/(a^2))	$\frac{\frac{a^{2} - b^{2}}{b^{3}}}{\frac{b^{2} - a b}{a^{2}}}$
218284	Simplify	((kn)^-5)/(v^2)	$\frac{{(k n)}^{- 5}}{v^{2}}$
218285	Find the Exact Value	csc((1pi)/4)	$\csc (\frac{1 π}{4})$
218286	Solve the System of Equations	x-5y=-3 y=-2	$x - 5 y = - 3$ $y = - 2$
218287	Write in Standard Form	(2x^2+x+3)(2x^2-x+6)	$(2 x^{2} + x + 3) (2 x^{2} - x + 6)$
218288	Find the Determinant	B=[[4,-1,2],[2,5,-2],[0,-3,7]]	$B = [\begin{array}{c} 4 & - 1 & 2 \\ 2 & 5 & - 2 \\ 0 & - 3 & 7 \end{array}]$
218289	Find the Degree	x^2+bx+c	$x^{2} + b x + c$
218290	Solve for x	15/(x+3)=(3x+1)/4	$\frac{15}{x + 3} = \frac{3 x + 1}{4}$
218291	Find the Slope and y-intercept	-3y=9-12	$- 3 y = 9 - 12$
218292	Simplify	(n^(1/3))/(n^(1/6)*n^(1/2))	$\frac{n^{\frac{1}{3}}}{n^{\frac{1}{6}} \cdot n^{\frac{1}{2}}}$
218293	Simplify the Radical Expression	fourth root of x^14	$\sqrt[4]{x^{14}}$
218294	Solve for x	x+9=18+-2	$x + 9 = 18 + - 2$
218295	Solve for x	-16>x÷2	$- 16 > x \div 2$
218296	Divide Using Long Polynomial Division	(2x^3+3x^2+4x+5)÷(2x^2+3x+4)	$(2 x^{3} + 3 x^{2} + 4 x + 5) \div (2 x^{2} + 3 x + 4)$
218297	Find the Points of Intersection	y=x+16 x^2+y^2=128	$y = x + 16$ $x^{2} + y^{2} = 128$
218298	Solve the System of Inequalities	y>=-2x-1 y>=x+2	$y \geq - 2 x - 1$ $y \geq x + 2$
218299	Simplify	((23^-2)^3(53^2)^2)/((3^-2)(5*2)^2)	$\frac{{(2 \cdot 3^{- 2})}^{3} {(5 \cdot 3^{2})}^{2}}{(3^{- 2}) {(5 \cdot 2)}^{2}}$
218300	Solve for x	y=x/a+b	$y = \frac{x}{a} + b$