Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
208101	Simplify	(25m^7n^2p^3)/(5m^5n^8p)	$\frac{25 m^{7} n^{2} p^{3}}{5 m^{5} n^{8} p}$
208102	Factor by Grouping	2(3-b)+5(b-3)^2	$2 (3 - b) + 5 {(b - 3)}^{2}$
208103	Simplify	(x^2+17x)-(3x^2+5x)	$(x^{2} + 17 x) - (3 x^{2} + 5 x)$
208104	Evaluate	((x^3y^2)/(4z))^-2	${(\frac{x^{3} y^{2}}{4 z})}^{- 2}$
208105	Simplify	-2x(5-3x)+10x^2-7x	$- 2 x (5 - 3 x) + 10 x^{2} - 7 x$
208106	Simplify	(-7x^3y^4)^2(x^2y^5)	${(- 7 x^{3} y^{4})}^{2} (x^{2} y^{5})$
208107	Solve for x	9(2x-6)-(x+3)=4x-18	$9 (2 x - 6) - (x + 3) = 4 x - 18$
208108	Evaluate	1/3xy+2/5xy-2xz+3/2xy+4/9xz	$\frac{1}{3} x y + \frac{2}{5} x y - 2 x z + \frac{3}{2} x y + \frac{4}{9} x z$
208109	Simplify	5/(y+10)+(4y)/(y^2+12y+20)	$\frac{5}{y + 10} + \frac{4 y}{y^{2} + 12 y + 20}$
208110	Subtract	(-9x^2y^2+5x^2y-11xy+1)-(5x^2y^2-15xy-11)	$(- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1) - (5 x^{2} y^{2} - 15 x y - 11)$
208111	Simplify	1/(2x+6)+(x+1)/(x^2+4x+3)	$\frac{1}{2 x + 6} + \frac{x + 1}{x^{2} + 4 x + 3}$
208112	Simplify the Radical Expression	square root of fourth root of 8^10	$\sqrt{\sqrt[4]{8^{10}}}$
208113	Simplify	(2+ square root of 3)(6- square root of 2)	$(2 + \sqrt{3}) (6 - \sqrt{2})$
208114	Simplify	(4i)/(6+2i)	$\frac{4 i}{6 + 2 i}$
208115	Solve for y	(y-3)^2-5(y-3)=-4	${(y - 3)}^{2} - 5 (y - 3) = - 4$
208116	Simplify	( square root of -36)/(- square root of 36)	$\frac{\sqrt{- 36}}{- \sqrt{36}}$
208117	Solve for n	log base 3 of 4n-17=5	$\log_{3} (4 n - 17) = 5$
208118	Simplify	(3.210^-2)/(810^3)	$\frac{3.2 \cdot 10^{- 2}}{8 \cdot 10^{3}}$
208119	Evaluate	4 square root of x=6	$4 \sqrt{x} = 6$
208120	Simplify	((x^2-x-12)/(4x+12))÷((x^2-6x+8)/6)	$\frac{x^{2} - x - 12}{4 x + 12} \div \frac{x^{2} - 6 x + 8}{6}$
208121	Simplify	1/2 square root of 50	$\frac{1}{2} \sqrt{50}$
208122	Simplify/Condense	(2sin(A)cos(A)-cos(A))/(1-sin(A)+sin(A)^2cos(A)^2)	$\frac{2 \sin (A) \cos (A) - \cos (A)}{1 - \sin (A) + \sin^{2} (A) \cos^{2} (A)}$
208123	Simplify the Radical Expression	1/( cube root of x^4)	$\frac{1}{\sqrt[3]{x^{4}}}$
208124	Find the Domain and Range	f(x)=2/(x(x-5))	$f (x) = \frac{2}{x (x - 5)}$
208125	Simplify	3/2u^2v^4-2 1/2u^3v^5+1/2u^4v^2	$\frac{3}{2} u^{2} v^{4} - 2 \frac{1}{2} u^{3} v^{5} + \frac{1}{2} u^{4} v^{2}$
208126	Simplify	-8i^88-8i^116-12i^111+8i^14	$- 8 i^{88} - 8 i^{116} - 12 i^{111} + 8 i^{14}$
208127	Find All Complex Solutions	(3x)/2+1/6=(2x)/3-2/3	$\frac{3 x}{2} + \frac{1}{6} = \frac{2 x}{3} - \frac{2}{3}$
208128	Graph	y<2/3x y<-3/2x+3	$y < \frac{2}{3} x$ $y < - \frac{3}{2} x + 3$
208129	Evaluate	3(x+4)-(2x+7)	$3 (x + 4) - (2 x + 7)$
208130	Simplify the Radical Expression	square root of 11x square root of 2x	$\sqrt{11 x} \sqrt{2 x}$
208131	Evaluate	125^(7x-2)=150	$125^{7 x - 2} = 150$
208132	Simplify	( square root of 80x^5)/( square root of x^3)	$\frac{\sqrt{80 x^{5}}}{\sqrt{x^{3}}}$
208133	Simplify the Radical Expression	1/( square root of 25)	$\frac{1}{\sqrt{25}}$
208134	Convert to a Decimal	-6pirad	$- 6 π$ radians
208135	Evaluate	(1/5)^x=125	${(\frac{1}{5})}^{x} = 125$
208136	Convert to Interval Notation	x-4<2 or 4x-1>4	$x - 4 < 2$ or $4 x - 1 > 4$
208137	Solve for x	6+5/x=7 1/4	$6 + \frac{5}{x} = 7 \frac{1}{4}$
208138	Graph	\|3/4x-3\|-8>=-5	$\| \frac{3}{4} x - 3 \| - 8 \geq - 5$
208139	Solve the Inequality for x	\|x\|-1>0	$\| x \| - 1 > 0$
208140	Solve for x	(6x-5)/7=(2x-1)/3+2	$\frac{6 x - 5}{7} = \frac{2 x - 1}{3} + 2$
208141	Factor	tan(x)^2+2tan(x)+1	$\tan^{2} (x) + 2 \tan (x) + 1$
208142	Simplify	cube root of 27x^12* square root of 64x^6	$\sqrt[3]{27 x^{12}} \cdot \sqrt{64 x^{6}}$
208143	Simplify	(2+4i)+i(2+i)	$(2 + 4 i) + i (2 + i)$
208144	Graph	h(x)=-(44x^2)/(v^2)+x+6	$h (x) = - \frac{44 x^{2}}{v^{2}} + x + 6$
208145	Simplify the Radical Expression	-2 square root of 45-3 square root of 20-2 square root of 6	$- 2 \sqrt{45} - 3 \sqrt{20} - 2 \sqrt{6}$
208146	Simplify	Subtract -7x+6 from -2x^2+9x-2	Subtract $- 7 x + 6$ from $- 2 x^{2} + 9 x - 2$
208147	Convert to Radical Form	1/((2x-1)^(-1/2))	$\frac{1}{{(2 x - 1)}^{- \frac{1}{2}}}$
208148	Solve for x	5/(x+1)-x/(1-x)=(2x)/(x^2-1)	$\frac{5}{x + 1} - \frac{x}{1 - x} = \frac{2 x}{x^{2} - 1}$
208149	Solve for x	8x^2-1=-9	$8 x^{2} - 1 = - 9$
208150	Describe the Transformation	F(x)=2/3\|x-4\|	$F (x) = \frac{2}{3} \| x - 4 \|$
208151	Find All Complex Solutions	5^(x+1)+5^(x-1)=26	$5^{x + 1} + 5^{x - 1} = 26$
208152	Simplify	(-3x)^2(-xy)^2	${(- 3 x)}^{2} {(- x y)}^{2}$
208153	Factor	9x^2y+12y-9x^2-12	$9 x^{2} y + 12 y - 9 x^{2} - 12$
208154	Simplify	cos(x)^2-cos(x)^2sin(x)^2	$\cos^{2} (x) - \cos^{2} (x) \sin^{2} (x)$
208155	Write in Standard Form	y+2=-5x	$y + 2 = - 5 x$
208156	Solve for y	3y=4y-4x	$3 y = 4 y - 4 x$
208157	Solve the System of Equations	y=-3/2x-11/2 6x+y=-4	$y = - \frac{3}{2} x - \frac{11}{2}$ $6 x + y = - 4$
208158	Find the Degree, Leading Term, and Leading Coefficient	1+1/4x^3	$1 + \frac{1}{4} x^{3}$
208159	Solve the System of Equations	(x+4)^2+y^2=64 -x+y=-4	${(x + 4)}^{2} + y^{2} = 64$ $- x + y = - 4$
208160	Simplify	Simplify square root of 72	Simplify $\sqrt{72}$
208161	Find the Holes in the Graph	y=(5-x)/(x^2-1)	$y = \frac{5 - x}{x^{2} - 1}$
208162	Find the Product	(-p+q)(-1-q)	$(- p + q) (- 1 - q)$
208163	Graph	Graph x+3y=6	Graph $x + 3 y = 6$
208164	Find the Product	(x^3)(x^-17)	$(x^{3}) (x^{- 17})$
208165	Simplify	(4x^3y^2*3x^6y^3)/(24x^11y^2)	$\frac{4 x^{3} y^{2} \cdot 3 x^{6} y^{3}}{24 x^{11} y^{2}}$
208166	Solve the Inequality for p	15+p<=44	$15 + p \leq 44$
208167	Divide	6a^3-12a^2-(3a)÷3a	$6 a^{3} - 12 a^{2} - 3 a \div 3 a$
208168	Solve for x	-1/5x^2+4=-1	$- \frac{1}{5} x^{2} + 4 = - 1$
208169	Simplify	(4x)/(3x-4)-8/(3x^2-4x)+2/x	$\frac{4 x}{3 x - 4} - \frac{8}{3 x^{2} - 4 x} + \frac{2}{x}$
208170	Simplify	(4^-5)/(4^7)*4^-7	$\frac{4^{- 5}}{4^{7}} \cdot 4^{- 7}$
208171	Simplify	cube root of s^2t^4* cube root of s^4t^6	$\sqrt[3]{s^{2} t^{4}} \cdot \sqrt[3]{s^{4} t^{6}}$
208172	Solve for x	(3x-3)/x+7/(6x)=7/6	$\frac{3 x - 3}{x} + \frac{7}{6 x} = \frac{7}{6}$
208173	Simplify	( square root of 4/5)^2	${(\sqrt{\frac{4}{5}})}^{2}$
208174	Find All Complex Solutions	3^(2x-1)-4*3^x+9=0	$3^{2 x - 1} - 4 \cdot 3^{x} + 9 = 0$
208175	Subtract	9/(x-3)-3/x	$\frac{9}{x - 3} - \frac{3}{x}$
208176	Solve the Rational Equation for n	cube root of n-9=3	$\sqrt[3]{n - 9} = 3$
208177	Simplify the Radical Expression	4 cube root of 81-2 cube root of 72- cube root of 24	$4 \sqrt[3]{81} - 2 \sqrt[3]{72} - \sqrt[3]{24}$
208178	Find the Degree, Leading Term, and Leading Coefficient	1/10x^3+1	$\frac{1}{10} x^{3} + 1$
208179	Solve for x	square root of x+5 = square root of 8x+28	$\sqrt{x} + 5 = \sqrt{8 x + 28}$
208180	Simplify the Radical Expression	(n^4)3/2	$(n^{4}) \frac{3}{2}$
208181	Solve for x	(4-x)/2+3x=1/2	$\frac{4 - x}{2} + 3 x = \frac{1}{2}$
208182	Solve for y	x^2+4y=2(3x-6-x)+x^2	$x^{2} + 4 y = 2 (3 x - 6 - x) + x^{2}$
208183	Solve for x	x/(x+3)-7/(x-3)=3/(x^2-9)	$\frac{x}{x + 3} - \frac{7}{x - 3} = \frac{3}{x^{2} - 9}$
208184	Evaluate	2(2+4i)(-3+i)	$2 (2 + 4 i) (- 3 + i)$
208185	Find the Domain and Range	y=6(2)^(x-4)-1	$y = 6 {(2)}^{x - 4} - 1$
208186	Simplify	4j(-j^-2k^2)(3j^3k^-7)	$4 j (- j^{- 2} k^{2}) (3 j^{3} k^{- 7})$
208187	Simplify	2(4(x-2)-8x)	$2 (4 (x - 2) - 8 x)$
208188	Simplify	(4(x+3))/8	$\frac{4 (x + 3)}{8}$
208189	Simplify	x^(1/3)x^(1/2)x^(1/4)	$x^{\frac{1}{3}} \cdot x^{\frac{1}{2}} \cdot x^{\frac{1}{4}}$
208190	Evaluate	(1 1/2)(0.31)	$(1 \frac{1}{2}) (0.31)$
208191	Evaluate	7(-6 1/8)	$7 (- 6 \frac{1}{8})$
208192	Solve for x	1/3+1/(3x-6)=(x^2-5x+4)/(3x-6)	$\frac{1}{3} + \frac{1}{3 x - 6} = \frac{x^{2} - 5 x + 4}{3 x - 6}$
208193	Find the Inverse	f(x)=-1/2(x-1)^3+4	$f (x) = - \frac{1}{2} {(x - 1)}^{3} + 4$
208194	Simplify	cube root of 8x^2* square root of 16x^6	$\sqrt[3]{8 x^{2}} \cdot \sqrt{16 x^{6}}$
208195	Simplify the Radical Expression	fourth root of square root of e^12f^6g^18	$\sqrt[4]{\sqrt{e^{12} f^{6} g^{18}}}$
208196	Solve for z	22z = cube root of 11	$22 z = \sqrt[3]{11}$
208197	Solve the Absolute Value Inequality for k	\|k-10\|=3	$\| k - 10 \| = 3$
208198	Simplify	-23i^6	$- 23 i^{6}$
208199	Simplify the Radical Expression	square root of 3-5 square root of 3	$\sqrt{3} - 5 \sqrt{3}$
208200	Solve the Inequality for x	x^2-3x-35<=-5x	$x^{2} - 3 x - 35 \leq - 5 x$