Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
12201	Convert to Interval Notation	\|x\|>1	$\| x \| > 1$
12202	Simplify	x^4y^-2	$x^{4} y^{- 2}$
12203	Convert to Interval Notation	x^2+7x>=-10	$x^{2} + 7 x \geq - 10$
12204	Simplify	xy^-3	$x y^{- 3}$
12205	Determine if Linear	y=(x-5)(5x+4)-5x^2	$y = (x - 5) (5 x + 4) - 5 x^{2}$
12206	Simplify	y^-3	$y^{- 3}$
12207	Find Where Undefined/Discontinuous	y=(x+8)/(x^2-9x+14)	$y = \frac{x + 8}{x^{2} - 9 x + 14}$
12208	Solve for x	-x/4=2	$- \frac{x}{4} = 2$
12209	Solve for x	x=-7	$x = - 7$
12210	Find Where Undefined/Discontinuous	(5x^8-20x^4)/(5x^8+20x^6+20x^4)	$\frac{5 x^{8} - 20 x^{4}}{5 x^{8} + 20 x^{6} + 20 x^{4}}$
12211	Simplify	-2gh(g^3h^5)	$- 2 g h (g^{3} h^{5})$
12212	Find Where Undefined/Discontinuous	(2x^2+13x+15)/(4x^2-9)*(2x^2+3x-9)/(x^2+2x-15)	$\frac{2 x^{2} + 13 x + 15}{4 x^{2} - 9} \cdot \frac{2 x^{2} + 3 x - 9}{x^{2} + 2 x - 15}$
12213	Simplify	3x^-3	$3 x^{- 3}$
12214	Find Where Undefined/Discontinuous	(z^2-16z+64)/(z^2-64)	$\frac{z^{2} - 16 z + 64}{z^{2} - 64}$
12215	Simplify	-5x^0	$- 5 x^{0}$
12216	Find the GCF	2ax^2+2ax+2a	$2 a x^{2} + 2 a x + 2 a$
12217	Simplify	-5n+3(6+7n)	$- 5 n + 3 (6 + 7 n)$
12218	Convert to an Improper Fraction	3 1/5	$3 \frac{1}{5}$
12219	Solve for n	6-4(6n+7)=122	$6 - 4 (6 n + 7) = 122$
12220	Convert to an Improper Fraction	2 3/5	$2 \frac{3}{5}$
12221	Simplify	7x^-4	$7 x^{- 4}$
12222	Simplify	(3x-2y)^2	${(3 x - 2 y)}^{2}$
12223	Divide Using Synthetic Division	(2x^2+7x-15)÷(x+5)	$(2 x^{2} + 7 x - 15) \div (x + 5)$
12224	Divide Using Synthetic Division	(12x^4+17x^3+8x-40)÷(x+2)	$(12 x^{4} + 17 x^{3} + 8 x - 40) \div (x + 2)$
12225	Find the Vertex	f(x)=-4x^2+6x+2	$f (x) = - 4 x^{2} + 6 x + 2$
12226	Graph	x<=5	$x \leq 5$
12227	Find the Vertex	f(x)=\|x-13\|+11	$f (x) = \| x - 13 \| + 11$
12228	Multiply	(x-1)(x+1)	$(x - 1) (x + 1)$
12229	Multiply	(x-2)(x+2)	$(x - 2) (x + 2)$
12230	Evaluate the Function	f(7)=3/(x+2)- square root of x-3	$f (7) = \frac{3}{x + 2} - \sqrt{x - 3}$
12231	Expand Using the Binomial Theorem	(t+1/t)^4	${(t + \frac{1}{t})}^{4}$
12232	Multiply	(3x+7)(7x-3)	$(3 x + 7) (7 x - 3)$
12233	Solve Using the Square Root Property	(7x-3)^2=49	${(7 x - 3)}^{2} = 49$
12234	Rationalize the Denominator	( fourth root of 3)/( fourth root of 5)	$\frac{\sqrt[4]{3}}{\sqrt[4]{5}}$
12235	Rationalize the Denominator	(8xy)/( square root of y)	$\frac{8 x y}{\sqrt{y}}$
12236	Simplify	( square root of 300)/( square root of 6)	$\frac{\sqrt{300}}{\sqrt{6}}$
12237	Find the Domain and Range	y=3*5^x	$y = 3 \cdot 5^{x}$
12238	Find the Domain and Range	y = square root of 1/2x	$y = \sqrt{\frac{1}{2} x}$
12239	Find the Domain and Range	f(x)=\|x\|+1	$f (x) = \| x \| + 1$
12240	Simplify	square root of 25x^9	$\sqrt{25 x^{9}}$
12241	Find the Domain and Range	f(x)=(2x)/(3x^2-3)	$f (x) = \frac{2 x}{3 x^{2} - 3}$
12242	Simplify	square root of 32x^5	$\sqrt{32 x^{5}}$
12243	Convert to Radical Form	1/(x^(2/3))	$\frac{1}{x^{\frac{2}{3}}}$
12244	Convert to Radical Form	3^(4/3)	$3^{\frac{4}{3}}$
12245	Simplify	square root of 36x	$\sqrt{36 x}$
12246	Find Three Ordered Pair Solutions	-x-2y=-10	$- x - 2 y = - 10$
12247	Simplify	5/( square root of 2)	$\frac{5}{\sqrt{2}}$
12248	Find Three Ordered Pair Solutions	4x-1=3y+5	$4 x - 1 = 3 y + 5$
12249	Simplify	(2x^2y^4(4x^2y^4)(3x))/(3x^-3y^2)	$\frac{2 x^{2} y^{4} \cdot (4 x^{2} y^{4}) \cdot (3 x)}{3 x^{- 3} y^{2}}$
12250	Find the Degree, Leading Term, and Leading Coefficient	8x^4+7x^3+5x^2+8	$8 x^{4} + 7 x^{3} + 5 x^{2} + 8$
12251	Simplify	square root of -96	$\sqrt{- 96}$
12252	Find the Axis of Symmetry	f(x)=x^2+16x+71	$f (x) = x^{2} + 16 x + 71$
12253	Simplify	square root of 9x^9	$\sqrt{9 x^{9}}$
12254	Simplify	square root of 64x^9	$\sqrt{64 x^{9}}$
12255	Convert to a Decimal	41%	$41 %$
12256	Simplify	square root of -54	$\sqrt{- 54}$
12257	Convert to a Decimal	57.6%	$57.6 %$
12258	Simplify	square root of -6	$\sqrt{- 6}$
12259	Convert to a Decimal	24.35%	$24.35 %$
12260	Simplify	square root of 48x^2	$\sqrt{48 x^{2}}$
12261	Convert to a Decimal	17/40	$\frac{17}{40}$
12262	Simplify	cube root of -8x^9y^12	$\sqrt[3]{- 8 x^{9} y^{12}}$
12263	Simplify	fourth root of x^8y^7	$\sqrt[4]{x^{8} y^{7}}$
12264	Find the Perfect Square Trinomial	y^2+16y+	$y^{2} + 16 y +$
12265	Find the Roots (Zeros)	f(x)=ax^2+bx+c	$f (x) = a x^{2} + b x + c$
12266	Simplify	fifth root of 64	$\sqrt[5]{64}$
12267	Simplify	sixth root of 448x^7y^7	$\sqrt[6]{448 x^{7} y^{7}}$
12268	Find the Directrix	x=-1/28y^2	$x = - \frac{1}{28} y^{2}$
12269	Simplify	seventh root of x^6	$\sqrt[7]{x^{6}}$
12270	Combine	-k-(-8k)	$- k - (- 8 k)$
12271	Simplify	2 square root of 5	$2 \sqrt{5}$
12272	Write in Standard Form	8r^2(r^2-2)	$8 r^{2} (r^{2} - 2)$
12273	Solve by Factoring	7x^2-14x=0	$7 x^{2} - 14 x = 0$
12274	Find the Median	1 1/4 , 5/8 , 3/5 , 1/2 , 1 1/2 , 1 3/4	$1 \frac{1}{4}$ , $\frac{5}{8}$ , $\frac{3}{5}$ , $\frac{1}{2}$ , $1 \frac{1}{2}$ , $1 \frac{3}{4}$
12275	Divide	( square root of -700)/( square root of -100)	$\frac{\sqrt{- 700}}{\sqrt{- 100}}$
12276	Find the Maximum/Minimum Value	y=x^2+10x+28	$y = x^{2} + 10 x + 28$
12277	Identify the Conic	16x^2-300-25y^2=100	$16 x^{2} - 300 - 25 y^{2} = 100$
12278	Divide	(x^3-27)/(x-3)	$\frac{x^{3} - 27}{x - 3}$
12279	Find the x and y Intercepts	f(x)=(x+2)^2-16	$f (x) = {(x + 2)}^{2} - 16$
12280	Divide	8/(5+i)	$\frac{8}{5 + i}$
12281	Find the x and y Intercepts	f(x)=5^(x-5)-5	$f (x) = 5^{x - 5} - 5$
12282	Reduce the Fraction	150/360	$\frac{150}{360}$
12283	Find the Standard Form of the Parabola	x^2+10x+y+20=0	$x^{2} + 10 x + y + 20 = 0$
12284	Find the x and y Intercepts	x^2+y-16=0	$x^{2} + y - 16 = 0$
12285	Find the x and y Intercepts	6x-4y=24	$6 x - 4 y = 24$
12286	Find the x and y Intercepts	2x-y=8	$2 x - y = 8$
12287	Convert to Interval Notation	(x+13)/(5+x)<=2	$\frac{x + 13}{5 + x} \leq 2$
12288	Solve by Factoring	27x^3-1=0	$27 x^{3} - 1 = 0$
12289	Convert to Interval Notation	x^2<=8x-11	$x^{2} \leq 8 x - 11$
12290	Find the Slope and y-intercept	y=x+2	$y = x + 2$
12291	Convert to Interval Notation	(7x+10)/(x-2)<=x-5	$\frac{7 x + 10}{x - 2} \leq x - 5$
12292	Find the Roots (Zeros)	f(x)=7x^3-5x^2-63x+45	$f (x) = 7 x^{3} - 5 x^{2} - 63 x + 45$
12293	Find the Roots (Zeros)	x^3-5x^2-9x+45=0	$x^{3} - 5 x^{2} - 9 x + 45 = 0$
12294	Solve by Completing the Square	(x^2)/2+7/2x=2	$\frac{x^{2}}{2} + \frac{7}{2} x = 2$
12295	Find the Roots (Zeros)	6x^3-31x^2+4x+5	$6 x^{3} - 31 x^{2} + 4 x + 5$
12296	Solve by Completing the Square	x^2+8x+7=0	$x^{2} + 8 x + 7 = 0$
12297	Determine if Odd, Even, or Neither	h(x)=3x^5+x^3-8x	$h (x) = 3 x^{5} + x^{3} - 8 x$
12298	Solve by Completing the Square	x^2+3x-2=0	$x^{2} + 3 x - 2 = 0$
12299	Convert to Logarithmic Form	1/6=6^-1	$\frac{1}{6} = 6^{- 1}$
12300	Solve by Completing the Square	x^2+3x-6=0	$x^{2} + 3 x - 6 = 0$