Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
14101	Find the Prime Factorization	46	$46$
14102	Solve by Completing the Square	x^2+10x=18	$x^{2} + 10 x = 18$
14103	Find the Prime Factorization	69	$69$
14104	Solve for y	8^y=16^(y+2)	$8^{y} = 16^{y + 2}$
14105	Find the Domain and Range	f(x)=1/2 square root of x+5	$f (x) = \frac{1}{2} \sqrt{x + 5}$
14106	Evaluate	-9-(-4)	$- 9 - (- 4)$
14107	Evaluate	8p	$8 p$
14108	Find the Domain and Range	f(x)=3 square root of x-3	$f (x) = 3 \sqrt{x - 3}$
14109	Evaluate	5 square root of -16+3 square root of -81	$5 \sqrt{- 16} + 3 \sqrt{- 81}$
14110	Write in Standard Form	y=3(x-4)^2-22	$y = 3 {(x - 4)}^{2} - 22$
14111	Evaluate	\|54\|	$\| 54 \|$
14112	Write in Standard Form	6y-4=3x	$6 y - 4 = 3 x$
14113	Write in Standard Form	y+3=3(x+5)	$y + 3 = 3 (x + 5)$
14114	Evaluate	-8*3	$- 8 \cdot 3$
14115	Write in Standard Form	x^2-6x+y^2-16=0	$x^{2} - 6 x + y^{2} - 16 = 0$
14116	Convert to a Percentage	2/15	$\frac{2}{15}$
14117	Determine if Rational	5pi	$5 π$
14118	Reduce	(w^2+5w+6)/(w^2-w-12)	$\frac{w^{2} + 5 w + 6}{w^{2} - w - 12}$
14119	Reduce	(6-x-x^2)/(x^2-9)	$\frac{6 - x - x^{2}}{x^{2} - 9}$
14120	Convert to Interval Notation	1/(-x)<=5/(7-x)	$\frac{1}{- x} \leq \frac{5}{7 - x}$
14121	Convert to Interval Notation	\|x+1\|<=4	$\| x + 1 \| \leq 4$
14122	Convert to Interval Notation	(x-7)/(x+8)<=0	$\frac{x - 7}{x + 8} \leq 0$
14123	Find the Vertex	y=x^2+3x-10	$y = x^{2} + 3 x - 10$
14124	Convert to Interval Notation	x/4<=9/x	$\frac{x}{4} \leq \frac{9}{x}$
14125	Find the Vertex	y=x^2+8	$y = x^{2} + 8$
14126	Convert to Interval Notation	11-6(1-x)<=6	$11 - 6 (1 - x) \leq 6$
14127	Convert to Interval Notation	x^3-8x^2-x+8>=0	$x^{3} - 8 x^{2} - x + 8 \geq 0$
14128	Find the Domain and Range	f(x)=x^2+6	$f (x) = x^{2} + 6$
14129	Convert to Interval Notation	x+1<(5x-3)/(x-3)	$x + 1 < \frac{5 x - 3}{x - 3}$
14130	Find the Domain and Range	f(x)=x^2-4x+3	$f (x) = x^{2} - 4 x + 3$
14131	Expand Using the Binomial Theorem	(3x-4)^3	${(3 x - 4)}^{3}$
14132	Find the x and y Intercepts	f(x)=(x+3)^2-9	$f (x) = {(x + 3)}^{2} - 9$
14133	Evaluate	log base 6 of 5	$\log_{6} (5)$
14134	Find the x and y Intercepts	f(x)=2x^3+8x^2-2x-8	$f (x) = 2 x^{3} + 8 x^{2} - 2 x - 8$
14135	Expand Using the Binomial Theorem	(x+7)^3	${(x + 7)}^{3}$
14136	Expand Using the Binomial Theorem	(x^2+y^2)^2	${(x^{2} + y^{2})}^{2}$
14137	Find the x and y Intercepts	f(x)=-3x^2-4x+2	$f (x) = - 3 x^{2} - 4 x + 2$
14138	Evaluate	( square root of 5)^3	${(\sqrt{5})}^{3}$
14139	Find the x and y Intercepts	f(x)=-3x^2+10x-4	$f (x) = - 3 x^{2} + 10 x - 4$
14140	Find the x and y Intercepts	f(x)=-4x^2-2x+3	$f (x) = - 4 x^{2} - 2 x + 3$
14141	Evaluate	2 square root of 48	$2 \sqrt{48}$
14142	Find the Maximum/Minimum Value	y=3x^2-24x+15	$y = 3 x^{2} - 24 x + 15$
14143	Evaluate	cube root of -250	$\sqrt[3]{- 250}$
14144	Find the Vertex	y=-2x^2-12x-10	$y = - 2 x^{2} - 12 x - 10$
14145	Evaluate	3 square root of -64	$3 \sqrt{- 64}$
14146	Evaluate	3 square root of 50	$3 \sqrt{50}$
14147	Find the Vertex	y=x^2-4x-6	$y = x^{2} - 4 x - 6$
14148	Evaluate	5 square root of 10	$5 \sqrt{10}$
14149	Identify the Zeros and Their Multiplicities	y=4x^3-4x	$y = 4 x^{3} - 4 x$
14150	Evaluate	5 square root of 8	$5 \sqrt{8}$
14151	Find the Asymptotes	f(x)=(5x)/(2x-6)	$f (x) = \frac{5 x}{2 x - 6}$
14152	Find the Asymptotes	g(x)=(x^2-4x-21)/(x+13)	$g (x) = \frac{x^{2} - 4 x - 21}{x + 13}$
14153	Evaluate	square root of 3/64	$\sqrt{\frac{3}{64}}$
14154	Find the Roots (Zeros)	2x^3-4x^2-14x+28	$2 x^{3} - 4 x^{2} - 14 x + 28$
14155	Find the Roots (Zeros)	x^2-11x+13	$x^{2} - 11 x + 13$
14156	Write with Rational (Fractional) Exponents	((x^2y^3)^(1/3))/( cube root of x^2y)	$\frac{{(x^{2} y^{3})}^{\frac{1}{3}}}{\sqrt[3]{x^{2} y}}$
14157	Evaluate	cube root of 1/729	$\sqrt[3]{\frac{1}{729}}$
14158	Evaluate	cube root of 1/512	$\sqrt[3]{\frac{1}{512}}$
14159	Evaluate	cube root of 250/9	$\sqrt[3]{\frac{250}{9}}$
14160	Evaluate	square root of 91	$\sqrt{91}$
14161	Evaluate	- square root of -96	$- \sqrt{- 96}$
14162	Find Where Undefined/Discontinuous	(x+5)/(3x^2-3)	$\frac{x + 5}{3 x^{2} - 3}$
14163	Evaluate	square root of 525	$\sqrt{525}$
14164	Find Where Undefined/Discontinuous	(x^2-14x+40)/(x^2-100)	$\frac{x^{2} - 14 x + 40}{x^{2} - 100}$
14165	Find Where Undefined/Discontinuous	(-20y+30)/(-2y+6)	$\frac{- 20 y + 30}{- 2 y + 6}$
14166	Simplify	(5x-3)^2	${(5 x - 3)}^{2}$
14167	Find Where Undefined/Discontinuous	(k^2-22k+121)/(k^2-121)	$\frac{k^{2} - 22 k + 121}{k^{2} - 121}$
14168	Evaluate	square root of 137	$\sqrt{137}$
14169	Convert to an Improper Fraction	3 3/5	$3 \frac{3}{5}$
14170	Find the Domain and Range	y = square root of x+5	$y = \sqrt{x} + 5$
14171	Find the Domain and Range	y = square root of x+6	$y = \sqrt{x + 6}$
14172	Find the Domain	y=(10-5x)/(x^2-7x+10)	$y = \frac{10 - 5 x}{x^{2} - 7 x + 10}$
14173	Graph	x+3y>6	$x + 3 y > 6$
14174	Find the Roots (Zeros)	f(x)=x^4-16x^3+50x^2+152x+85	$f (x) = x^{4} - 16 x^{3} + 50 x^{2} + 152 x + 85$
14175	Find the Roots (Zeros)	f(x)=x^2+x-30	$f (x) = x^{2} + x - 30$
14176	Find the Roots (Zeros)	f(x)=(x+4)^2-25	$f (x) = {(x + 4)}^{2} - 25$
14177	Solve for n	(1/36)^n=216	${(\frac{1}{36})}^{n} = 216$
14178	Find the Roots (Zeros)	f(x)=x^3-13x^2+40x	$f (x) = x^{3} - 13 x^{2} + 40 x$
14179	Find the Roots (Zeros)	f(x)=2x^3+x^2+10x+5	$f (x) = 2 x^{3} + x^{2} + 10 x + 5$
14180	Graph	y=(x-4)^2-3	$y = {(x - 4)}^{2} - 3$
14181	Find the Roots (Zeros)	f(x)=6x^3-29x^2-6x+5	$f (x) = 6 x^{3} - 29 x^{2} - 6 x + 5$
14182	Graph	y<x+1	$y < x + 1$
14183	Find the Roots (Zeros)	f(x)=1/5x^2-8	$f (x) = \frac{1}{5} x^{2} - 8$
14184	Graph	g(x)=(x-2)^2	$g (x) = {(x - 2)}^{2}$
14185	Find the Perfect Square Trinomial	x^2+17x+	$x^{2} + 17 x +$
14186	Find the End Behavior	f(x)=3x^6+30x^5+75x^4	$f (x) = 3 x^{6} + 30 x^{5} + 75 x^{4}$
14187	Graph	f(x)=e^x+3	$f (x) = e^{x} + 3$
14188	Graph	f(x) = log base 2 of x+2	$f (x) = \log_{2} (x + 2)$
14189	Find the Slope	(3,6) , (3,5)	$(3, 6)$ , $(3, 5)$
14190	Graph	f(x)=4^x-1	$f (x) = 4^{x} - 1$
14191	Find the Slope	(6,8) , (-3,-4)	$(6, 8) (- 3, - 4)$
14192	Graph	y>=x	$y \geq x$
14193	Identify the Sequence	2 , 5 , 8 , 11	$2$ , $5$ , $8$ , $11$
14194	Graph	f(x)=x^2-4x+1	$f (x) = x^{2} - 4 x + 1$
14195	Identify the Sequence	4 , 20 , 100 , 500	$4$ , $20$ , $100$ , $500$
14196	Solve for x	square root of x<=5	$\sqrt{x} \leq 5$
14197	Rationalize the Denominator	(3x)/( square root of 4x+5)	$\frac{3 x}{\sqrt{4 x + 5}}$
14198	Rationalize the Denominator	(4x^3)/( square root of 7x+11)	$\frac{4 x^{3}}{\sqrt{7 x + 11}}$
14199	Convert to Scientific Notation	417.8	$417.8$
14200	Graph	f(x)=6x	$f (x) = 6 x$