Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
6001	Factor	x^2-12	$x^{2} - 12$
6002	Factor	v^2-4	$v^{2} - 4$
6003	Factor	r^3+8	$r^{3} + 8$
6004	Factor	r^3-8	$r^{3} - 8$
6005	Factor	r^2-36	$r^{2} - 36$
6006	Factor	a^2-10a+25	$a^{2} - 10 a + 25$
6007	Factor	9r^2-5r-10	$9 r^{2} - 5 r - 10$
6008	Factor	x-5	$x - 5$
6009	Factor	8x^2+6x+1	$8 x^{2} + 6 x + 1$
6010	Factor	8x^3y+6xy^2+5xy	$8 x^{3} y + 6 x y^{2} + 5 x y$
6011	Factor	81x^2-18x+1	$81 x^{2} - 18 x + 1$
6012	Factor	5x^2-30x+40	$5 x^{2} - 30 x + 40$
6013	Factor	49x^2-25y^2	$49 x^{2} - 25 y^{2}$
6014	Factor	4x^3+43x^2+30x	$4 x^{3} + 43 x^{2} + 30 x$
6015	Factor	6x^2-11x-2	$6 x^{2} - 11 x - 2$
6016	Factor	6x^2-7x-10	$6 x^{2} - 7 x - 10$
6017	Factor	5x^2-6x-8	$5 x^{2} - 6 x - 8$
6018	Factor	2x^2-x-6	$2 x^{2} - x - 6$
6019	Write with Rational (Fractional) Exponents	square root of x^7	$\sqrt{x^{7}}$
6020	Convert to Radical Form	9^(3/2)	$9^{\frac{3}{2}}$
6021	Find the Inverse	f(x)=x-1	$f (x) = x - 1$
6022	Evaluate	log base 8 of 32	$\log_{8} (32)$
6023	Evaluate	log base 256 of 4	$\log_{256} (4)$
6024	Evaluate	log base 6 of 1/6	$\log_{6} (\frac{1}{6})$
6025	Evaluate	log base 9 of 243	$\log_{9} (243)$
6026	Convert to Logarithmic Form	2^-5=1/32	$2^{- 5} = \frac{1}{32}$
6027	Convert to Logarithmic Form	216=6^3	$216 = 6^{3}$
6028	Expand the Logarithmic Expression	log base 7 of 49	$\log_{7} (49)$
6029	Find the Center and Radius	x^2+y^2=100	$x^{2} + y^{2} = 100$
6030	Find f(g(x))	f(x)=2x+11 and g(x)=-3x-22	$f (x) = 2 x + 11$ and $g (x) = - 3 x - 22$
6031	Evaluate	(-4/5)^2	${(- \frac{4}{5})}^{2}$
6032	Evaluate	11/5	$\frac{11}{5}$
6033	Evaluate	343^(-4/3)	$343^{- \frac{4}{3}}$
6034	Evaluate	12/20	$\frac{12}{20}$
6035	Evaluate	12/16	$\frac{12}{16}$
6036	Evaluate	13/3	$\frac{13}{3}$
6037	Evaluate	square root of 10* square root of 35	$\sqrt{10} \cdot \sqrt{35}$
6038	Evaluate	9/15	$\frac{9}{15}$
6039	Find the Prime Factorization	132	$132$
6040	Find the Prime Factorization	147	$147$
6041	Convert to a Simplified Fraction	15%	$15 %$
6042	Convert to a Decimal	9/2	$\frac{9}{2}$
6043	Find the Vertex	y=x^2+10x+21	$y = x^{2} + 10 x + 21$
6044	Expand Using the Binomial Theorem	(x+8)^3	${(x + 8)}^{3}$
6045	Expand Using the Binomial Theorem	(2x-3y)^4	${(2 x - 3 y)}^{4}$
6046	Find the Equation that Relates x and y	x=7 , y=2	$x = 7$ , $y = 2$
6047	Evaluate	square root of 95	$\sqrt{95}$
6048	Evaluate	square root of 82	$\sqrt{82}$
6049	Evaluate	square root of 529	$\sqrt{529}$
6050	Evaluate	square root of 14( square root of 7+ square root of 2)	$\sqrt{14} (\sqrt{7} + \sqrt{2})$
6051	Evaluate	square root of 392	$\sqrt{392}$
6052	Simplify	square root of 41	$\sqrt{41}$
6053	Simplify	(y^-5)/(y^-2)	$\frac{y^{- 5}}{y^{- 2}}$
6054	Graph	f(x)=x-2	$f (x) = x - 2$
6055	Graph	x+2y>=-4	$x + 2 y \geq - 4$
6056	Graph	x+2y>=-10	$x + 2 y \geq - 10$
6057	Convert to a Percentage	0.4	$0.4$
6058	Convert to a Percentage	0.2	$0.2$
6059	Solve Using the Square Root Property	x^2=-8	$x^{2} = - 8$
6060	Graph	(x^2)/9-(y^2)/4=1	$\frac{x^{2}}{9} - \frac{y^{2}}{4} = 1$
6061	Solve Using the Square Root Property	7x^2-98=0	$7 x^{2} - 98 = 0$
6062	Graph	x^2-8x+15	$x^{2} - 8 x + 15$
6063	Find the Perfect Square Trinomial	x^2+11x	$x^{2} + 11 x$
6064	Solve for x	15^(2x)=36	$15^{2 x} = 36$
6065	Solve for x	x^2-2x-8=0	$x^{2} - 2 x - 8 = 0$
6066	Solve for x	log base x of 64=2	$\log_{x} (64) = 2$
6067	Solve for x	e^(3x)=12	$e^{3 x} = 12$
6068	Solve for x	5^x=1/25	$5^{x} = \frac{1}{25}$
6069	Solve for x	6^x=216	$6^{x} = 216$
6070	Evaluate	log base 8 of 9	$\log_{8} (9)$
6071	Evaluate	log base 5 of 9	$\log_{5} (9)$
6072	Solve for x	x+2y=2	$x + 2 y = 2$
6073	Solve for x	2x-y=5	$2 x - y = 5$
6074	Solve for x	5(x+4)=7(x-2)	$5 (x + 4) = 7 (x - 2)$
6075	Solve for x	natural log of x=-2	$\ln (x) = - 2$
6076	Simplify	(6p+8)(5p-8)	$(6 p + 8) (5 p - 8)$
6077	Simplify	(n^3)^3*(2n^-1)	${(n^{3})}^{3} \cdot (2 n^{- 1})$
6078	Simplify	(1-7i)^2	${(1 - 7 i)}^{2}$
6079	Simplify	(5x+2)(5x-2)	$(5 x + 2) (5 x - 2)$
6080	Simplify	square root of 72x- square root of 50x	$\sqrt{72 x} - \sqrt{50 x}$
6081	Solve for x	x^2-3x-10<0	$x^{2} - 3 x - 10 < 0$
6082	Simplify	6x	$6 x$
6083	Simplify	square root of 200a^6b^7	$\sqrt{200 a^{6} b^{7}}$
6084	Evaluate	( square root of 11- square root of 3)/( square root of 11+ square root of 3)	$\frac{\sqrt{11} - \sqrt{3}}{\sqrt{11} + \sqrt{3}}$
6085	Simplify	square root of 68	$\sqrt{68}$
6086	Simplify	square root of 4x^4	$\sqrt{4 x^{4}}$
6087	Simplify	15 root of x^5	$\sqrt[15]{x^{5}}$
6088	Simplify	square root of -80	$\sqrt{- 80}$
6089	Simplify	square root of 75x^3	$\sqrt{75 x^{3}}$
6090	Simplify	cube root of 81x^3	$\sqrt[3]{81 x^{3}}$
6091	Solve by Factoring	x^3+512=0	$x^{3} + 512 = 0$
6092	Solve by Factoring	x^2-3x-4=0	$x^{2} - 3 x - 4 = 0$
6093	Solve by Factoring	x^2-5x-6=0	$x^{2} - 5 x - 6 = 0$
6094	Solve by Factoring	x^2-6x-7=0	$x^{2} - 6 x - 7 = 0$
6095	Solve by Completing the Square	x^2+4x-5=0	$x^{2} + 4 x - 5 = 0$
6096	Solve by Completing the Square	x^2+3x-9=0	$x^{2} + 3 x - 9 = 0$
6097	Find the Roots (Zeros)	f(x)=x^3-3x^2-25x+75	$f (x) = x^{3} - 3 x^{2} - 25 x + 75$
6098	Find the Roots (Zeros)	f(x)=x^3-5x^2-4x+20	$f (x) = x^{3} - 5 x^{2} - 4 x + 20$
6099	Find the x and y Intercepts	4x-3y=24	$4 x - 3 y = 24$
6100	Find the x and y Intercepts	2x+3y=-18	$2 x + 3 y = - 18$