Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
14401	Find Where Undefined/Discontinuous	(3z^6+21z^4)/(z^4+11z^2+28)	$\frac{3 z^{6} + 21 z^{4}}{z^{4} + 11 z^{2} + 28}$
14402	Simplify	(2x+9)(2x-9)	$(2 x + 9) (2 x - 9)$
14403	Find Where Undefined/Discontinuous	(6z^2-48z-120)/(3z^2+6z)*(14z^5+140z^4)/(4z^2-400)	$\frac{6 z^{2} - 48 z - 120}{3 z^{2} + 6 z} \cdot \frac{14 z^{5} + 140 z^{4}}{4 z^{2} - 400}$
14404	Simplify	(-3+2i)(-6-8i)	$(- 3 + 2 i) (- 6 - 8 i)$
14405	Simplify	x^2+2	$x^{2} + 2$
14406	Find Where Undefined/Discontinuous	(n^2+4n-12)/(2n^4-72n^2)*(5n^3-30n^2)/(11n-22)	$\frac{n^{2} + 4 n - 12}{2 n^{4} - 72 n^{2}} \cdot \frac{5 n^{3} - 30 n^{2}}{11 n - 22}$
14407	Simplify	(24xy^2)/(3xy)	$\frac{24 x y^{2}}{3 x y}$
14408	Find Where Undefined/Discontinuous	(x+8)/(x^2-2x-24)	$\frac{x + 8}{x^{2} - 2 x - 24}$
14409	Simplify	cube root of y* fifth root of y^3	$\sqrt[3]{y} \cdot \sqrt[5]{y^{3}}$
14410	Find Where Undefined/Discontinuous	(y^2-15y-34)/(3y^2-12)	$\frac{y^{2} - 15 y - 34}{3 y^{2} - 12}$
14411	Simplify	((3y^(1/4))^3)/(y^(1/12))	$\frac{{(3 y^{\frac{1}{4}})}^{3}}{y^{\frac{1}{12}}}$
14412	Simplify	(5-7i)^2	${(5 - 7 i)}^{2}$
14413	Simplify	(-i)^5	${(- i)}^{5}$
14414	Rationalize the Denominator	9/( square root of 5+ square root of 2)	$\frac{9}{\sqrt{5} + \sqrt{2}}$
14415	Simplify	(8-5i)^2	${(8 - 5 i)}^{2}$
14416	Rationalize the Denominator	(4x^4)/( square root of 11x+6)	$\frac{4 x^{4}}{\sqrt{11 x + 6}}$
14417	Simplify	(2b)^3	${(2 b)}^{3}$
14418	Rationalize the Denominator	(2+ square root of 6)/(2- square root of 6)	$\frac{2 + \sqrt{6}}{2 - \sqrt{6}}$
14419	Simplify	(3x^(2/3))^-1	${(3 x^{\frac{2}{3}})}^{- 1}$
14420	Solve the Matrix Equation	[[8,-7],[1,-5]]+X=[[6,4],[0,5]]	$[\begin{array}{c} 8 & - 7 \\ 1 & - 5 \end{array}] + X = [\begin{array}{c} 6 & 4 \\ 0 & 5 \end{array}]$
14421	Simplify	(3n^-6)^-4	${(3 n^{- 6})}^{- 4}$
14422	Find the LCM	8 , 10	$8$ , $10$
14423	Simplify	(4u^2)^(1/2)	${(4 u^{2})}^{\frac{1}{2}}$
14424	Find the Roots (Zeros)	f(x)=(x-1)^2-36	$f (x) = {(x - 1)}^{2} - 36$
14425	Simplify	(4u^2)^(5/2)	${(4 u^{2})}^{\frac{5}{2}}$
14426	Find the Roots (Zeros)	f(x)=60x^2-57x-18	$f (x) = 60 x^{2} - 57 x - 18$
14427	Simplify	2^-3x^2z^-7	$2^{- 3} x^{2} z^{- 7}$
14428	Find the Roots (Zeros)	p(x)=2x^5-3x^4-5x^2-2	$p (x) = 2 x^{5} - 3 x^{4} - 5 x^{2} - 2$
14429	Find the Roots (Zeros)	f(x)=x^3-x^2-12x	$f (x) = x^{3} - x^{2} - 12 x$
14430	Simplify	3/(x+7)+4/(x-8)	$\frac{3}{x + 7} + \frac{4}{x - 8}$
14431	Identify the Sequence	-81 , -54 , -36 , -24	$- 81$ , $- 54$ , $- 36$ , $- 24$
14432	Simplify	square root of 8x^5* square root of 3x	$\sqrt{8 x^{5}} \cdot \sqrt{3 x}$
14433	Identify the Sequence	80 , 40 , 20 , 10	$80$ , $40$ , $20$ , $10$
14434	Simplify	square root of 75x- square root of 12x	$\sqrt{75 x} - \sqrt{12 x}$
14435	Find the Slope	-1/2x-y=3/4	$- \frac{1}{2} x - y = \frac{3}{4}$
14436	Simplify	square root of 75x- square root of 27x	$\sqrt{75 x} - \sqrt{27 x}$
14437	Simplify	square root of 14q*(2 square root of 4q)	$\sqrt{14 q} \cdot (2 \sqrt{4 q})$
14438	Simplify	81^(3/4)	$81^{\frac{3}{4}}$
14439	Simplify	-6i(8-6i)(-8-8i)	$- 6 i (8 - 6 i) (- 8 - 8 i)$
14440	Simplify	5/3+3	$\frac{5}{3} + 3$
14441	Simplify	8i	$8 i$
14442	Simplify	9x^-3	$9 x^{- 3}$
14443	Convert from Degrees to Radians	arcsin(-1/2)	$\arcsin (- \frac{1}{2})$
14444	Simplify	9x	$9 x$
14445	Solve for b	-138=-6(6b-7)	$- 138 = - 6 (6 b - 7)$
14446	Solve for r	q=(i^2rt)/j	$q = \frac{i^{2} r t}{j}$
14447	Simplify	4(x+3)	$4 (x + 3)$
14448	Simplify	5-2i	$5 - 2 i$
14449	Divide Using Synthetic Division	(x^3+3x^2-x-3)÷(x-1)	$(x^{3} + 3 x^{2} - x - 3) \div (x - 1)$
14450	Simplify	3x^(3/8)	$3 x^{\frac{3}{8}}$
14451	Find the Vertex	f(x)=3x^2-2x-2	$f (x) = 3 x^{2} - 2 x - 2$
14452	Solve for x	x^2>64	$x^{2} > 64$
14453	Find the Vertex	f(x)=6x^2+13x-5	$f (x) = 6 x^{2} + 13 x - 5$
14454	Solve for x	12x-3x+11>4x-(17-9x)	$12 x - 3 x + 11 > 4 x - (17 - 9 x)$
14455	Solve for x	\|x\|=6	$\| x \| = 6$
14456	Solve for x	\|x-5\|=3	$\| x - 5 \| = 3$
14457	Factor by Grouping	7x^5+49x^2+28x	$7 x^{5} + 49 x^{2} + 28 x$
14458	Solve for x	x(7-x)>8	$x (7 - x) > 8$
14459	Find All Complex Solutions	7x^2+3x+8=0	$7 x^{2} + 3 x + 8 = 0$
14460	Simplify	4/( square root of 5)	$\frac{4}{\sqrt{5}}$
14461	Find the Degree	5x^7-4x^5+2x^6-x^4	$5 x^{7} - 4 x^{5} + 2 x^{6} - x^{4}$
14462	Simplify	3/( square root of 7)	$\frac{3}{\sqrt{7}}$
14463	Simplify	square root of 49/64	$\sqrt{\frac{49}{64}}$
14464	Divide Using Long Polynomial Division	(x^2-3x-40)÷(x+5)	$(x^{2} - 3 x - 40) \div (x + 5)$
14465	Simplify	v((x-3)^2)	$v ({(x - 3)}^{2})$
14466	Simplify	square root of (y^4)/81	$\sqrt{\frac{y^{4}}{81}}$
14467	Convert to Radical Form	t^(1/4)	$t^{\frac{1}{4}}$
14468	Simplify	square root of 121/x	$\sqrt{\frac{121}{x}}$
14469	Simplify	square root of 16x^7	$\sqrt{16 x^{7}}$
14470	Convert to Radical Form	v^(3/4)	$v^{\frac{3}{4}}$
14471	Simplify	- square root of 100	$- \sqrt{100}$
14472	Convert to Radical Form	7 1/2	$7 \frac{1}{2}$
14473	Convert to Radical Form	y^(5/8)	$y^{\frac{5}{8}}$
14474	Simplify	square root of 3x	$\sqrt{3 x}$
14475	Simplify	square root of 36x^10y^22	$\sqrt{36 x^{10} y^{22}}$
14476	Convert to Radical Form	y^(1/9)	$y^{\frac{1}{9}}$
14477	Simplify	square root of 36x^8y^18	$\sqrt{36 x^{8} y^{18}}$
14478	Simplify	square root of y^7	$\sqrt{y^{7}}$
14479	Simplify	( square root of x^11y^5)/( square root of xy)	$\frac{\sqrt{x^{11} y^{5}}}{\sqrt{x y}}$
14480	Simplify	((x-3)/(x^2-16))/(1+1/(x-4))	$\frac{\frac{x - 3}{x^{2} - 16}}{1 + \frac{1}{x - 4}}$
14481	Convert to Regular Notation	1.5*10^6	$1.5 \cdot 10^{6}$
14482	Multiply	(4x-7)^2	${(4 x - 7)}^{2}$
14483	Convert to a Simplified Fraction	0.66	$0.66$
14484	Solve by Factoring	4x^4=32x	$4 x^{4} = 32 x$
14485	Solve by Factoring	12x^2+23x+10=0	$12 x^{2} + 23 x + 10 = 0$
14486	Apply the Quadratic Formula	x^2+3x+3	$x^{2} + 3 x + 3$
14487	Find the Domain	z(x) = square root of x-2	$z (x) = \sqrt{x - 2}$
14488	Reduce the Fraction	135/360	$\frac{135}{360}$
14489	Evaluate the Function	f(1)=2*1/(2^(3t))	$f (1) = 2 \cdot \frac{1}{2^{3 t}}$
14490	Evaluate the Function	f(3)=(1/5)^x	$f (3) = {(\frac{1}{5})}^{x}$
14491	Evaluate the Function	f(2x)=x/(x^2+1)	$f (2 x) = \frac{x}{x^{2} + 1}$
14492	Divide	(x^3+343)/(x+7)	$\frac{x^{3} + 343}{x + 7}$
14493	Evaluate the Function	f(3)=x^2+7	$f (3) = x^{2} + 7$
14494	Divide	1/(1/x)	$\frac{1}{\frac{1}{x}}$
14495	Solve by Completing the Square	x^2-5x=8	$x^{2} - 5 x = 8$
14496	Divide	( square root of -300)/( square root of -100)	$\frac{\sqrt{- 300}}{\sqrt{- 100}}$
14497	Solve by Completing the Square	x^2-8x=10	$x^{2} - 8 x = 10$
14498	Solve by Completing the Square	x^2+14x=-7	$x^{2} + 14 x = - 7$
14499	Solve by Completing the Square	2x^2-4x-18=0	$2 x^{2} - 4 x - 18 = 0$
14500	Simplify	fifth root of f^10g^9	$\sqrt[5]{f^{10} g^{9}}$