Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
221101	Determine if Dependent, Independent, or Inconsistent	y=-2x+3 4x+2y=9	$y = - 2 x + 3$ $4 x + 2 y = 9$
221102	Graph	tan(theta)>0 and cos(theta)<0	$\tan (θ) > 0$ and $\cos (θ) < 0$
221103	Simplify	(4a^3b^2c^0)/(2ab^-1)	$\frac{4 a^{3} b^{2} c^{0}}{2 a b^{- 1}}$
221104	Simplify/Condense	cos(pi/2-x)sec(x)	$\cos (\frac{π}{2} - x) \sec (x)$
221105	Graph	x<4 and x>-2	$x < 4$ and $x > - 2$
221106	Solve for y	y=(17(4+x)-8x)/(7-x)	$y = \frac{17 (4 + x) - 8 x}{7 - x}$
221107	Simplify	square root of 2i* square root of 6i	$\sqrt{2} i \cdot \sqrt{6} i$
221108	Solve for r	3646=1+5(4r+17)^(3/2)	$3646 = 1 + 5 {(4 r + 17)}^{\frac{3}{2}}$
221109	Simplify	((3xy^-2)^-2)/(3x^-2y)	$\frac{{(3 x y^{- 2})}^{- 2}}{3 x^{- 2} y}$
221110	Solve for x	(6x^2+18x)/(2x^3)=5/x	$\frac{6 x^{2} + 18 x}{2 x^{3}} = \frac{5}{x}$
221111	Rationalize the Denominator	( cube root of x)/( cube root of xy)	$\frac{\sqrt[3]{x}}{\sqrt[3]{x y}}$
221112	Find the Vertices	((x-2)^2)/9-((y-1)^2)/4	$\frac{{(x - 2)}^{2}}{9} - \frac{{(y - 1)}^{2}}{4}$
221113	Multiply	(x^2-5x-36)/(8x+32)*(x-7)/(x^2-16x+63)	$\frac{x^{2} - 5 x - 36}{8 x + 32} \cdot \frac{x - 7}{x^{2} - 16 x + 63}$
221114	Find the Distance Between Two Points	(-3,9) and (2,5)	$(- 3, 9)$ and $(2, 5)$
221115	Solve for y	-6=9/y	$- 6 = \frac{9}{y}$
221116	Solve for x	natural log of x- natural log of 2x-3 = natural log of 3	$\ln (x) - \ln (2 x - 3) = \ln (3)$
221117	Convert to Scientific Notation	((4.510^5)(2.310^-3))/(1.5*10^-4)	$\frac{(4.5 \times 10^{5}) (2.3 \times 10^{- 3})}{1.5 \times 10^{- 4}}$
221118	Solve the Inequality for x	2x^2-2>=2x+10	$2 x^{2} - 2 \geq 2 x + 10$
221119	Simplify	square root of 83 square root of 40 square root of 3	$\sqrt{8} \cdot 3 \sqrt{40} \cdot \sqrt{3}$
221120	Solve for x	x^(-2/3)-7x^(-1/3)-15=0	$x^{- \frac{2}{3}} - 7 x^{- \frac{1}{3}} - 15 = 0$
221121	Simplify	(4/(-x-1)*(x^2-11x+30)/(5-x))÷((x^2-7x+6)/(1-x^2))	$\frac{4}{- x - 1} \cdot \frac{x^{2} - 11 x + 30}{5 - x} \div \frac{x^{2} - 7 x + 6}{1 - x^{2}}$
221122	Graph Using a Table of Values	f(x)=(1/5)^(x+4)+3	$f (x) = {(\frac{1}{5})}^{x + 4} + 3$
221123	Solve for a	5/(a+3)=3/(a-2)	$\frac{5}{a + 3} = \frac{3}{a - 2}$
221124	Solve the Inequality for x	3(x+2)<3x+5	$3 (x + 2) < 3 x + 5$
221125	Simplify the Radical Expression	6 square root of 10*7 square root of 20	$6 \sqrt{10} \cdot 7 \sqrt{20}$
221126	Subtract	(x^4-3x^3+5x^2+x-4)-(x^3-4x^2-11x+10)	$(x^{4} - 3 x^{3} + 5 x^{2} + x - 4) - (x^{3} - 4 x^{2} - 11 x + 10)$
221127	Find the x and y Intercepts	y=10-x^2+3x	$y = 10 - x^{2} + 3 x$
221128	Simplify the Radical Expression	(2^-4*z^-3)^5	${(2^{- 4} \cdot z^{- 3})}^{5}$
221129	Simplify	square root of 24i-4 square root of 6i	$\sqrt{24} i - 4 \sqrt{6} i$
221130	Solve for t	arcsin(t^2-2t)=pi/2	$\arcsin (t^{2} - 2 t) = \frac{π}{2}$
221131	Find the Degree	17yx^2+xy-5	$17 y x^{2} + x y - 5$
221132	Find the LCM	24x^2 and 8x^2-16x	$24 x^{2}$ and $8 x^{2} - 16 x$
221133	Simplify the Radical Expression	x/( square root of x)	$\frac{x}{\sqrt{x}}$
221134	Rationalize the Denominator	(4 square root of 3+ square root of 7)/(4 square root of 3-7)	$\frac{4 \sqrt{3} + \sqrt{7}}{4 \sqrt{3} - 7}$
221135	Solve for y	y÷8+19=30	$y \div 8 + 19 = 30$
221136	Find the Exact Value	sin(-510 degrees )	$\sin (- 510 °)$
221137	Solve for θ	theta=-(42pi)/8	$θ = - \frac{42 π}{8}$
221138	Simplify	(x^(1/2)y^(-1/3))/(x^(3/4)y^(1/2))	$\frac{x^{\frac{1}{2}} y^{- \frac{1}{3}}}{x^{\frac{3}{4}} y^{\frac{1}{2}}}$
221139	Solve the Inequality for y	-50<7y+6<-8	$- 50 < 7 y + 6 < - 8$
221140	Find the Domain and Range	y+x^2=6	$y + x^{2} = 6$
221141	Find the x and y Intercepts	-2(x-3y)=12	$- 2 (x - 3 y) = 12$
221142	Expand the Logarithmic Expression	log base 9 of ( sixth root of x^5)/(y^3(z-2)^7)	$\log_{9} (\frac{\sqrt[6]{x^{5}}}{y^{3} {(z - 2)}^{7}})$
221143	Evaluate	(x^8)/(x^-3*x^-6)	$\frac{x^{8}}{x^{- 3} \cdot x^{- 6}}$
221144	Solve the Inequality for m	m+2<=-4	$m + 2 \leq - 4$
221145	Find the Degree	q^5 square root of 3-p^4-4p^5q^4	$q^{5} \sqrt{3} - p^{4} - 4 p^{5} q^{4}$
221146	Simplify	(6/(10x^2))÷(6/(10x^3-60x^2))	$\frac{6}{10 x^{2}} \div \frac{6}{10 x^{3} - 60 x^{2}}$
221147	Solve for x	5=-1/3(x-9)	$5 = - \frac{1}{3} (x - 9)$
221148	Find the Product	(x^2-2)^3	${(x^{2} - 2)}^{3}$
221149	Find All Complex Number Solutions	z=i	$z = i$
221150	Simplify	(5x+50)/(x+5)*1/(x+10)	$\frac{5 x + 50}{x + 5} \cdot \frac{1}{x + 10}$
221151	Write in Standard Form	(-9n^9)(n^3)	$(- 9 n^{9}) (n^{3})$
221152	Solve the Rational Equation for x	cube root of x=3	$\sqrt[3]{x} = 3$
221153	Simplify	-7x+6 from -2x^2+9x-2	$- 7 x + 6$ from $- 2 x^{2} + 9 x - 2$
221154	Solve by Factoring	5x^2+16x+3=5x	$5 x^{2} + 16 x + 3 = 5 x$
221155	Find the Holes in the Graph	f(x)=(x^2+x-2)/((x+2)(x^2-2x-15))	$f (x) = \frac{x^{2} + x - 2}{(x + 2) (x^{2} - 2 x - 15)}$
221156	Find the Product	(x^2-4x)/(x-1)*(x^2+3x-4)/(2x)	$\frac{x^{2} - 4 x}{x - 1} \cdot \frac{x^{2} + 3 x - 4}{2 x}$
221157	Evaluate	x^0=1	$x^{0} = 1$
221158	Simplify the Radical Expression	( square root of 2)÷( cube root of 2)	$\sqrt{2} \div \sqrt[3]{2}$
221159	Divide	(16a^3b^2c^5-24a^5bc^4+44a^7b^6c^6)/(4a^2bc^3)	$\frac{16 a^{3} b^{2} c^{5} - 24 a^{5} b c^{4} + 44 a^{7} b^{6} c^{6}}{4 a^{2} b c^{3}}$
221160	Simplify	fourth root of (81x^7y^12)/16	$\sqrt[4]{\frac{81 x^{7} y^{12}}{16}}$
221161	Solve by Factoring	2(a-5)(a+5)=21a	$2 (a - 5) (a + 5) = 21 a$
221162	Solve for x	square root of 3x+4+3/2=3	$\sqrt{3 x + 4} + \frac{3}{2} = 3$
221163	Factor	24ab^4+12ab^3-18ab^2	$24 a b^{4} + 12 a b^{3} - 18 a b^{2}$
221164	Find the Exact Value	-3+(4-2(6-3+4(5-7))+3)	$- 3 + (4 - 2 (6 - 3 + 4 (5 - 7)) + 3)$
221165	Find the Exact Value	(2^3)^-2	${(2^{3})}^{- 2}$
221166	Simplify the Radical Expression	6/( square root of 80)	$\frac{6}{\sqrt{80}}$
221167	Simplify	2(1250)^(1/4)-5(32)^(1/4)	$2 {(1250)}^{\frac{1}{4}} - 5 {(32)}^{\frac{1}{4}}$
221168	Solve for x	3x^5=-96	$3 x^{5} = - 96$
221169	Solve for x	x+y=9.0 0.50x+0.20y=3.90	$x + y = 9$ $0.5 x + 0.2 y = 3.9$
221170	Solve for x	x^4+x^2+1=0	$x^{4} + x^{2} + 1 = 0$
221171	Find the Holes in the Graph	y=(x^2-9)/(2x^2+3x-27)	$y = \frac{x^{2} - 9}{2 x^{2} + 3 x - 27}$
221172	Simplify the Radical Expression	x^2y^2 square root of 28x^6y^6	$x^{2} y^{2} \sqrt{28 x^{6} y^{6}}$
221173	Solve the Rational Equation for x	square root of x+ square root of x-5=1	$\sqrt{x} + \sqrt{x - 5} = 1$
221174	Solve the Inequality for n	2(n+14)>-1/2(70+2n)	$2 (n + 14) > - \frac{1}{2} (70 + 2 n)$
221175	Solve for x	4\|1-2x\|-20=0	$4 \| 1 - 2 x \| - 20 = 0$
221176	Simplify	(6.67x10^-11)(29.06572410^48x^2)x^3	$(6.67 x \cdot 10^{- 11}) (29.065724 \cdot 10^{48} x^{2}) x^{3}$
221177	Evaluate	(x^2-4)/(x+2)+(x-3)/(x+2)	$\frac{x^{2} - 4}{x + 2} + \frac{x - 3}{x + 2}$
221178	Evaluate	csc(180)	$\csc (180)$
221179	Solve the Inequality for x	y<2x+1	$y < 2 x + 1$
221180	Solve for x	5^(4x-2)-4*25^(2x-1)=-24	$5^{4 x - 2} - 4 \cdot 25^{2 x - 1} = - 24$
221181	Evaluate the Function	f(x)=2 cube root of 1/2(x-4)+3	$f (x) = 2 \sqrt[3]{\frac{1}{2} (x - 4)} + 3$
221182	Graph	0=3/x+x	$0 = \frac{3}{x} + x$
221183	Simplify	x-1x	$x - 1 x$
221184	Solve for x	1/(x-1)-2/7=3	$\frac{1}{x - 1} - \frac{2}{7} = 3$
221185	Graph Using a Table of Values	y=1/2*(1/4)^x	$y = \frac{1}{2} \cdot {(\frac{1}{4})}^{x}$
221186	Simplify	(yz)(12xy-25xz-4y^2)	$(y z) (12 x y - 25 x z - 4 y^{2})$
221187	Solve for p	e=5s+2p	$e = 5 s + 2 p$
221188	Solve for y	-9y^3-9=-63	$- 9 y^{3} - 9 = - 63$
221189	Solve for X	(X+7)/9=8/5	$\frac{X + 7}{9} = \frac{8}{5}$
221190	Write as a Single Logarithm	1/( log base 2 of 14)+1/( log base 7 of 14)	$\frac{1}{\log_{2} (14)} + \frac{1}{\log_{7} (14)}$
221191	Simplify	((4x^(2/5))/(9y^(4/5)))^(5/2)	${(\frac{4 x^{\frac{2}{5}}}{9 y^{\frac{4}{5}}})}^{\frac{5}{2}}$
221192	Solve the Inequality for y	-3(3y-2)<1-9y	$- 3 (3 y - 2) < 1 - 9 y$
221193	Factor	4x^3-x^2y+8xy-2y^2	$4 x^{3} - x^{2} y + 8 x y - 2 y^{2}$
221194	Evaluate	8x+16y>32	$8 x + 16 y > 32$
221195	Graph	y>-2y	$y > - 2 y$
221196	Simplify	((x^2)/3-2/9)/((x+3)/2+(2x)/3)	$\frac{\frac{x^{2}}{3} - \frac{2}{9}}{\frac{x + 3}{2} + \frac{2 x}{3}}$
221197	Graph	y=x natural log of x	$y = x \ln (x)$
221198	Simplify	(2^(-4/3))/(54^(-4/3))	$\frac{2^{- \frac{4}{3}}}{54^{- \frac{4}{3}}}$
221199	Solve for x	9/4=(7x+6)/2	$\frac{9}{4} = \frac{7 x + 6}{2}$
221200	Solve the Inequality for a	3+ square root of 4a-5<=10	$3 + \sqrt{4 a - 5} \leq 10$