Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
202001	Simplify	(y^2(y+3))/(y^6(y+3))	$\frac{y^{2} (y + 3)}{y^{6} (y + 3)}$
202002	Find the Exact Value	sin(arcsin((- square root of 2)/2))	$\sin (\arcsin (\frac{- \sqrt{2}}{2}))$
202003	Simplify	5a2a(a^3-3a^2+a)	$5 a \cdot 2 a \cdot (a^{3} - 3 a^{2} + a)$
202004	Convert to Scientific Notation	(50000.00015)/(150000.005)	$\frac{5000 \cdot 0.00015}{15000 \cdot 0.005}$
202005	Solve for b	(3+2i)+(2+bi)=5-4i	$(3 + 2 i) + (2 + b i) = 5 - 4 i$
202006	Multiply	(x-2)(3x+1)(4x-3)	$(x - 2) (3 x + 1) (4 x - 3)$
202007	Evaluate	(x^-3)(3x^-2)^-1	$(x^{- 3}) {(3 x^{- 2})}^{- 1}$
202008	Simplify the Radical Expression	cube root of 56x^5y	$\sqrt[3]{56 x^{5} y}$
202009	Solve the System of Equations	y=3/5x-1 y=2/5x	$y = \frac{3}{5} x - 1$ $y = \frac{2}{5} x$
202010	Solve for x	(1/16)^(3x+5)=(1/64)^(x+4)	${(\frac{1}{16})}^{3 x + 5} = {(\frac{1}{64})}^{x + 4}$
202011	Simplify	(4ab^-2)/(-3c^-2)	$\frac{4 a b^{- 2}}{- 3 c^{- 2}}$
202012	Solve for x	3(x-4)+2x=4(x-3)-x	$3 (x - 4) + 2 x = 4 (x - 3) - x$
202013	Solve for n	9n+3(1.2n+0.5)=15.6n	$9 n + 3 (1.2 n + 0.5) = 15.6 n$
202014	Graph	f(x)=1+1/2 cube root of x-2	$f (x) = 1 + \frac{1}{2} \sqrt[3]{x - 2}$
202015	Factor	-4y^2+3xy-12y+9x	$- 4 y^{2} + 3 x y - 12 y + 9 x$
202016	Evaluate	(3^3)/9-(-4)^2	$\frac{3^{3}}{9} - {(- 4)}^{2}$
202017	Solve for x	\|3-2x\|-5x=3	$\| 3 - 2 x \| - 5 x = 3$
202018	Write in Slope-Intercept Form	x-y<=1	$x - y \leq 1$
202019	Simplify	(p^2-9p)/(p^2-4p-45)-2/(p+5)	$\frac{p^{2} - 9 p}{p^{2} - 4 p - 45} - \frac{2}{p + 5}$
202020	Solve for x	-4/9x-8=0	$- \frac{4}{9} x - 8 = 0$
202021	Find the Inverse	f(x)=2 cube root of 1/2(x-4)+3	$f (x) = 2 \sqrt[3]{\frac{1}{2} (x - 4)} + 3$
202022	Simplify	(5^10)/(6^8)	$\frac{5^{10}}{6^{8}}$
202023	Solve the System of Equations	-6y+2=-4x y-2=x	$- 6 y + 2 = - 4 x$ $y - 2 = x$
202024	Solve for r	36/42=24/r	$\frac{36}{42} = \frac{24}{r}$
202025	Simplify	1/(a^2b^-3)(a^2b^-3)^-1	$\frac{1}{a^{2} b^{- 3}} {(a^{2} b^{- 3})}^{- 1}$
202026	Solve for x	(2x)/(2x+5)=4/5-7/(4x+10)	$\frac{2 x}{2 x + 5} = \frac{4}{5} - \frac{7}{4 x + 10}$
202027	Simplify	((x^2)/4-1/(x^2))^2	${(\frac{x^{2}}{4} - \frac{1}{x^{2}})}^{2}$
202028	Simplify	3x^3(2x^2-4x)+2x^2(4x^3+7x^2)	$3 x^{3} (2 x^{2} - 4 x) + 2 x^{2} (4 x^{3} + 7 x^{2})$
202029	Simplify	x^2(5x^3)^3	$x^{2} {(5 x^{3})}^{3}$
202030	Graph	y-x>4 x+y>2	$y - x > 4$ $x + y > 2$
202031	Solve the System of Equations	y=5/2x-1 y=7/2x-3	$y = \frac{5}{2} x - 1$ $y = \frac{7}{2} x - 3$
202032	Simplify	2/( square root of 6+2)	$\frac{2}{\sqrt{6 + 2}}$
202033	Find the x and y Intercepts	y=(x+4)(x+2)(x-1)(x-3)	$y = (x + 4) (x + 2) (x - 1) (x - 3)$
202034	Multiply	cube root of x* square root of 2x	$\sqrt[3]{x} \cdot \sqrt{2 x}$
202035	Simplify	(6c^2+13c-63)/(6c^2-17c+7)*(2c^2-9c+4)/(12c+54)	$\frac{6 c^{2} + 13 c - 63}{6 c^{2} - 17 c + 7} \cdot \frac{2 c^{2} - 9 c + 4}{12 c + 54}$
202036	Evaluate	(14a^4b^6c^-10)/(8a^-2b^3c^-5)	$\frac{14 a^{4} b^{6} c^{- 10}}{8 a^{- 2} b^{3} c^{- 5}}$
202037	Solve for a	3 square root of 4a=42	$3 \sqrt{4 a} = 42$
202038	Evaluate	((3^6)/(3^5))^-2	${(\frac{3^{6}}{3^{5}})}^{- 2}$
202039	Evaluate Using the Given Value	(-m)^-3n if m=2 and n=-24	${(- m)}^{- 3} n$ if $m = 2$ and $n = - 24$
202040	Solve for y	y = square root of 1/4	$y = \sqrt{\frac{1}{4}}$
202041	Simplify	cube root of 5^2* square root of 5	$\sqrt[3]{5^{2}} \cdot \sqrt{5}$
202042	Simplify	((2a^0b^-4)/(b^3))^4*((a^3b^-2)/(3b^4a^-4))^3	${(\frac{2 a^{0} b^{- 4}}{b^{3}})}^{4} \cdot {(\frac{a^{3} b^{- 2}}{3 b^{4} a^{- 4}})}^{3}$
202043	Simplify	(4xy^2)^(1/2)	${(4 x y^{2})}^{\frac{1}{2}}$
202044	Solve for k	(7^4)^k=7^-8	${(7^{4})}^{k} = 7^{- 8}$
202045	Simplify	9x^4(x^3-6x)+4x^2(6x^5+5x^3)	$9 x^{4} (x^{3} - 6 x) + 4 x^{2} (6 x^{5} + 5 x^{3})$
202046	Simplify	(2ab-a)÷(4b^2-4b+1)	$(2 a b - a) \div (4 b^{2} - 4 b + 1)$
202047	Solve for x	5 sixth root of 10x+229-8=7	$5 \sqrt[6]{10 x + 229} - 8 = 7$
202048	Solve the System of Equations	y=5x y=4x-1	$y = 5 x$ $y = 4 x - 1$
202049	Simplify	(x^2-xy)/(5y^2-5xy)	$\frac{x^{2} - x y}{5 y^{2} - 5 x y}$
202050	Solve for x	(2x)^(1/2)=(x+5)^(1/2)	${(2 x)}^{\frac{1}{2}} = {(x + 5)}^{\frac{1}{2}}$
202051	Simplify	(2x-6)/(-14x+42)	$\frac{2 x - 6}{- 14 x + 42}$
202052	Simplify	(-a^6b)^2+9a^12b^2	${(- a^{6} b)}^{2} + 9 a^{12} b^{2}$
202053	Simplify	(27x^2z^4)/(-3x^2z)	$\frac{27 x^{2} z^{4}}{- 3 x^{2} z}$
202054	Find the Roots (Zeros)	(0.3x^2-3x)(5x^3-0.2x^2)=0	$(0.3 x^{2} - 3 x) (5 x^{3} - 0.2 x^{2}) = 0$
202055	Solve the Inequality for p	-1/3(p+9)<=4	$- \frac{1}{3} (p + 9) \leq 4$
202056	Factor	3x^2yz^3-9x^3y^2z^2+12x^2y^3z^2	$3 x^{2} y z^{3} - 9 x^{3} y^{2} z^{2} + 12 x^{2} y^{3} z^{2}$
202057	Solve for x	3(x-4)+2x=4(x-3)+x	$3 (x - 4) + 2 x = 4 (x - 3) + x$
202058	Simplify	((192x^12)/(3x^3))^(1/3)	${(\frac{192 x^{12}}{3 x^{3}})}^{\frac{1}{3}}$
202059	Simplify the Radical Expression	sixth root of 3^2	$\sqrt[6]{3^{2}}$
202060	Solve the Inequality for b	4b<=-3	$4 b \leq - 3$
202061	Simplify	(2^-2-5^-1)^-1	${(2^{- 2} - 5^{- 1})}^{- 1}$
202062	Write in Exponential Form	( cube root of x^2y^3z^4)^2	${(\sqrt[3]{x^{2} y^{3} z^{4}})}^{2}$
202063	Find the Domain and Range	y=-(1/2)^(x+1)-3	$y = - {(\frac{1}{2})}^{x + 1} - 3$
202064	Simplify	x/(4x+20)-(x+2)/(x+5)	$\frac{x}{4 x + 20} - \frac{x + 2}{x + 5}$
202065	Simplify	(z/(z^-6))^(1/28)	${(\frac{z}{z^{- 6}})}^{\frac{1}{28}}$
202066	Solve the Rational Equation for x	square root of 28-6x=x-6	$\sqrt{28 - 6 x} = x - 6$
202067	Simplify	13 square root of 5a-b square root of 5a+5a square root of 13b	$13 \sqrt{5 a} - b \sqrt{5 a} + 5 a \sqrt{13 b}$
202068	Solve for a	16536.94=1700.84(9.20)-1/2a*(9.20)^2	$16536.94 = 1700.84 (9.2) - \frac{1}{2} a \cdot {(9.2)}^{2}$
202069	Simplify	28/(9x)-19/(9x)	$\frac{28}{9 x} - \frac{19}{9 x}$
202070	Evaluate	5((5^3)/(2/5))^2	$5 {(\frac{5^{3}}{\frac{2}{5}})}^{2}$
202071	Simplify	(6x^7y^5)/(3x^-1)	$\frac{6 x^{7} y^{5}}{3 x^{- 1}}$
202072	Simplify	(x^(1/3)y)^3 square root of x^2y^2	${(x^{\frac{1}{3}} y)}^{3} \sqrt{x^{2} y^{2}}$
202073	Simplify	square root of cube root of 4x^2	$\sqrt{\sqrt[3]{4 x^{2}}}$
202074	Solve the System of Inequalities	10m-7<17m or -6m>36	$10 m - 7 < 17 m$ or $- 6 m > 36$
202075	Solve for x	3 cube root of x=9	$3 \sqrt[3]{x} = 9$
202076	Simplify	mn^2m^2n^-4mn^-1	$m n^{2} \cdot m^{2} n^{- 4} \cdot m n^{- 1}$
202077	Divide	(16x^3y^6-24x^5y^5)/(-4x^4y^3)	$\frac{16 x^{3} y^{6} - 24 x^{5} y^{5}}{- 4 x^{4} y^{3}}$
202078	Simplify the Radical Expression	(4x^6)^(3/2)	${(4 x^{6})}^{\frac{3}{2}}$
202079	Simplify	(2-4i)/(i-1)	$\frac{2 - 4 i}{i - 1}$
202080	Simplify	11/12+7/(4x)	$\frac{11}{12} + \frac{7}{4 x}$
202081	Simplify	(a^2-3ab+2b^2)+(-4a^2+5ab-b^2)	$(a^{2} - 3 a b + 2 b^{2}) + (- 4 a^{2} + 5 a b - b^{2})$
202082	Simplify	(x+(-2))(x+(-1))	$(x + (- 2)) (x + (- 1))$
202083	Solve for y	square root of y^2=2.3	$\sqrt{y^{2}} = 2.3$
202084	Solve for x	csc(x)^2+csc(x)=2	$\csc^{2} (x) + \csc (x) = 2$
202085	Find the Roots (Zeros)	6- square root of x-2=x+4	$6 - \sqrt{x - 2} = x + 4$
202086	Simplify	(( square root of 6-i square root of 3)/3)(( square root of 6+i square root of 3)/3)	$(\frac{\sqrt{6} - i \sqrt{3}}{3}) (\frac{\sqrt{6} + i \sqrt{3}}{3})$
202087	Find the Exact Value	(-2)^-3-24	${(- 2)}^{- 3} - 24$
202088	Simplify	(8a^3-1/27)/((2a-1/3)^2)	$\frac{8 a^{3} - \frac{1}{27}}{{(2 a - \frac{1}{3})}^{2}}$
202089	Combine Like Terms	(-6x^2-3x-1)-(x+8)	$(- 6 x^{2} - 3 x - 1) - (x + 8)$
202090	Simplify the Radical Expression	x^2 square root of 75- square root of 12x^4	$x^{2} \sqrt{75} - \sqrt{12 x^{4}}$
202091	Graph	x^2+(y-3 square root of x^2)^2=1	$x^{2} + {(y - 3 \sqrt{x^{2}})}^{2} = 1$
202092	Solve for x	square root of x=3 square root of 7	$\sqrt{x} = 3 \sqrt{7}$
202093	Solve the Inequality for x	x^2+3<=4x	$x^{2} + 3 \leq 4 x$
202094	Solve for b	(2x+1)/((x+2)(x-3))=a/(x+2)+b/(x-3)	$\frac{2 x + 1}{(x + 2) (x - 3)} = \frac{a}{x + 2} + \frac{b}{x - 3}$
202095	Find the x and y Intercepts	y=-(x+3)(x+1)^2(2x-5)	$y = - (x + 3) {(x + 1)}^{2} (2 x - 5)$
202096	Multiply	(1+i)(2+i)	$(1 + i) (2 + i)$
202097	Simplify	(tan(theta)^2-sec(theta)^2)(sin(theta)^2+cos(theta)^2)	$(\tan^{2} (θ) - \sec^{2} (θ)) (\sin^{2} (θ) + \cos^{2} (θ))$
202098	Solve the Inequality for w	7w>-49	$7 w > - 49$
202099	Multiply	(4-x)(2x+7)	$(4 - x) (2 x + 7)$
202100	Solve for h	square root of 3h=3	$\sqrt{3 h} = 3$