Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
12601	Solve for x	square root of (x-4)^3=125	$\sqrt{{(x - 4)}^{3}} = 125$
12602	Find the Domain and Range	y=1/2(2)^x	$y = \frac{1}{2} {(2)}^{x}$
12603	Solve for x	log of x=5	$\log (x) = 5$
12604	Find the Equation Using Point-Slope Formula	(-9,7) , (-6,-3)	$(- 9, 7) (- 6, - 3)$
12605	Solve for x	log of x=-6	$\log (x) = - 6$
12606	Find the Vertex	f(x)=4x^2+6x-1	$f (x) = 4 x^{2} + 6 x - 1$
12607	Solve for x	log of 4x=2	$\log (4 x) = 2$
12608	Divide Using Synthetic Division	(x^3-5x^2+4x+7)÷(x-1)	$(x^{3} - 5 x^{2} + 4 x + 7) \div (x - 1)$
12609	Find the Maximum/Minimum Value	f(x)=0.4x^3+1.2x^2-5.2x-6	$f (x) = 0.4 x^{3} + 1.2 x^{2} - 5.2 x - 6$
12610	Solve for x	x+3-3=-6	$x + 3 - 3 = - 6$
12611	Find Where Undefined/Discontinuous	(5z+55)/5	$\frac{5 z + 55}{5}$
12612	Solve for x	x+5y=10	$x + 5 y = 10$
12613	Convert to an Improper Fraction	4 1/4	$4 \frac{1}{4}$
12614	Simplify	- fourth root of 81	$- \sqrt[4]{81}$
12615	Evaluate the Function	f(3)=2^x	$f (3) = 2^{x}$
12616	Solve for x	y=5x-6	$y = 5 x - 6$
12617	Find the Domain and Range	log of x+6-4	$\log (x + 6) - 4$
12618	Solve for x	2x-(2x)/7=x/2+17/2	$2 x - \frac{2 x}{7} = \frac{x}{2} + \frac{17}{2}$
12619	Solve for x	2x-3y=4	$2 x - 3 y = 4$
12620	Solve for x	natural log of x=10	$\ln (x) = 10$
12621	Solve for x	9(3x+6)=14-(x+2)	$9 (3 x + 6) = 14 - (x + 2)$
12622	Find the Slope	1/8x+3y=3	$\frac{1}{8} x + 3 y = 3$
12623	Solve for x	8x-9=11x+12	$8 x - 9 = 11 x + 12$
12624	Find the Slope	7x-2y=4	$7 x - 2 y = 4$
12625	Solve for x	4x-5=11x+16	$4 x - 5 = 11 x + 16$
12626	Find the Slope	(7,3) , (-5,3)	$(7, 3)$ , $(- 5, 3)$
12627	Solve for x	5x=25	$5 x = 25$
12628	Identify the Sequence	11 , 15 , 19 , 23	$11$ , $15$ , $19$ , $23$
12629	Solve for x	5x-14=8x+4	$5 x - 14 = 8 x + 4$
12630	Identify the Sequence	4 , 8 , 16	$4$ , $8$ , $16$
12631	Solve for C	C=4d^(-1/3)b	$C = 4 d^{- \frac{1}{3}} b$
12632	Find the Distance Between Two Points	(2 square root of 3,5 square root of 2) , (-2 square root of 3,- square root of 2)	$(2 \sqrt{3}, 5 \sqrt{2}) (- 2 \sqrt{3}, - \sqrt{2})$
12633	Simplify	6 square root of 2	$6 \sqrt{2}$
12634	Simplify	(6k+5)(5k+5)	$(6 k + 5) (5 k + 5)$
12635	Convert to Radical Form	x2/3	$x \frac{2}{3}$
12636	Simplify	7-8i+(-12-4i)	$7 - 8 i + (- 12 - 4 i)$
12637	Find the Degree	2x^3y^5-9x^4y^7+12x^2y^10-8xy	$2 x^{3} y^{5} - 9 x^{4} y^{7} + 12 x^{2} y^{10} - 8 x y$
12638	Simplify	(8+5i)(8-5i)	$(8 + 5 i) (8 - 5 i)$
12639	Simplify	(x-4)(x+5)	$(x - 4) (x + 5)$
12640	Simplify	(x-3)(x+7)	$(x - 3) (x + 7)$
12641	Find the Domain and Range	f(x) = log base 9 of x	$f (x) = \log_{9} (x)$
12642	Use the Rational Roots Test to Find All Possible Roots	f(x)=4x^4-7x^2+x+25	$f (x) = 4 x^{4} - 7 x^{2} + x + 25$
12643	Find the Inverse	x^3+6	$x^{3} + 6$
12644	Simplify	(1-i)^3	${(1 - i)}^{3}$
12645	Simplify	(x^5)^4	${(x^{5})}^{4}$
12646	Factor by Grouping	15x^3-5x^2+6x-2	$15 x^{3} - 5 x^{2} + 6 x - 2$
12647	Solve for x	x^2-5x-6=0	$x^{2} - 5 x - 6 = 0$
12648	Convert to a Decimal	-82/5	$- \frac{82}{5}$
12649	Convert to a Decimal	7.25%	$7.25 %$
12650	Solve for x	x^2-6x-7=0	$x^{2} - 6 x - 7 = 0$
12651	Convert to a Decimal	7 1/2%	$7 \frac{1}{2} %$
12652	Solve for x	x^2+3x-18=0	$x^{2} + 3 x - 18 = 0$
12653	Find the Parallel Line	y=3/4x-9 ; (-8,-18)	$y = \frac{3}{4} x - 9$ ; $(- 8, - 18)$
12654	Solve for x	x^2+6x-4=0	$x^{2} + 6 x - 4 = 0$
12655	Find the LCD	(5+m)/(8m^4n^2)(5+n)/(18m^2n^4)	$\frac{5 + m}{8 m^{4} n^{2}} \frac{5 + n}{18 m^{2} n^{4}}$
12656	Simplify	square root of 64y^2	$\sqrt{64 y^{2}}$
12657	Solve by Factoring	9x^2+4=12x	$9 x^{2} + 4 = 12 x$
12658	Simplify	(2x-7)(2x+7)	$(2 x - 7) (2 x + 7)$
12659	Find the Vertex	y=x^2+6x-8	$y = x^{2} + 6 x - 8$
12660	Find the Vertex	y=x^2-x-23	$y = x^{2} - x - 23$
12661	Simplify	x^(-6/5)*x^(11/5)	$x^{- \frac{6}{5}} \cdot x^{\frac{11}{5}}$
12662	Simplify	(x+11)^2	${(x + 11)}^{2}$
12663	Find the Perfect Square Trinomial	x^2+19x+	$x^{2} + 19 x +$
12664	Simplify	square root of xy* square root of 4xy	$\sqrt{x y} \cdot \sqrt{4 x y}$
12665	Evaluate Using the Given Value	f(1)=2^1	$f (1) = 2^{1}$
12666	Simplify	10-5(9n-9)	$10 - 5 (9 n - 9)$
12667	Simplify	(x^2-36)/(x^2-4x-12)*(x+2)/x	$\frac{x^{2} - 36}{x^{2} - 4 x - 12} \cdot \frac{x + 2}{x}$
12668	Convert to Scientific Notation	8 , 670 , 0 , 0	$8$ , $670$ , $0$ , $0$
12669	Simplify	(y^-8)/y	$\frac{y^{- 8}}{y}$
12670	Convert to Scientific Notation	96470000	$96470000$
12671	Simplify	(y^-1)/y	$\frac{y^{- 1}}{y}$
12672	Convert to Scientific Notation	3868000000	$3868000000$
12673	Simplify	(6-7i)^2	${(6 - 7 i)}^{2}$
12674	Convert to a Percentage	0.14	$0.14$
12675	Simplify	(49x^4)^(1/2)	${(49 x^{4})}^{\frac{1}{2}}$
12676	Determine if Rational	pi-1	$π - 1$
12677	Simplify	(7-2i)^2	${(7 - 2 i)}^{2}$
12678	Find the Axis of Symmetry	y=-2x^2+7x-3	$y = - 2 x^{2} + 7 x - 3$
12679	Simplify	(-2i)^10	${(- 2 i)}^{10}$
12680	Find the Directrix	y^2=4x	$y^{2} = 4 x$
12681	Find the Directrix	y=1/28(x-4)^2-5	$y = \frac{1}{28} {(x - 4)}^{2} - 5$
12682	Simplify	(2x)^5	${(2 x)}^{5}$
12683	Find the Center and Radius	x^2+y^2-2x-4y-20=0	$x^{2} + y^{2} - 2 x - 4 y - 20 = 0$
12684	Simplify	(3x^2)^2	${(3 x^{2})}^{2}$
12685	Find the Center and Radius	x^2+y^2+4x-8y+11=0	$x^{2} + y^{2} + 4 x - 8 y + 11 = 0$
12686	Find the Center and Radius	x^2+y^2+10x+12y+25=0	$x^{2} + y^{2} + 10 x + 12 y + 25 = 0$
12687	Find the Inverse	y = log of x-7	$y = \log (x - 7)$
12688	Simplify	(4x^2y^3)^3	${(4 x^{2} y^{3})}^{3}$
12689	Complete the Square	x^2+16x=3	$x^{2} + 16 x = 3$
12690	Simplify	square root of 7200	$\sqrt{7200}$
12691	Find the x and y Intercepts	f(x) = log base 6 of x	$f (x) = \log_{6} (x)$
12692	Simplify	i^81	$i^{81}$
12693	Find the x and y Intercepts	f(x)=-x^3-3x^2+54x	$f (x) = - x^{3} - 3 x^{2} + 54 x$
12694	Simplify	i^-15	$i^{- 15}$
12695	Write in Standard Form	(3-8w^2)^2	${(3 - 8 w^{2})}^{2}$
12696	Simplify	-9x^0	$- 9 x^{0}$
12697	Write in Standard Form	(9c-2d)(9c-2d)	$(9 c - 2 d) (9 c - 2 d)$
12698	Solve for m	m/3-3=-6	$\frac{m}{3} - 3 = - 6$
12699	Write in Standard Form	(-2x^4+7x^2y-7)+(-9x^3+7xy+7)	$(- 2 x^{4} + 7 x^{2} y - 7) + (- 9 x^{3} + 7 x y + 7)$
12700	Simplify	5x^3	$5 x^{3}$