Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
218501	Solve for y	9x+6y=-3 for y	$9 x + 6 y = - 3$ for $y$
218502	Solve for g	D=2/9(f-g)	$D = \frac{2}{9} (f - g)$
218503	Solve for x	((x-h)^2)/(a^2)-((y-k)^2)/(b^2)=1	$\frac{{(x - h)}^{2}}{a^{2}} - \frac{{(y - k)}^{2}}{b^{2}} = 1$
218504	Simplify	(81^8)^(-1/4)	${(81^{8})}^{- \frac{1}{4}}$
218505	Simplify	((x^2-1)/(x^2+4x-12))÷((x+1)/(x-2))	$\frac{x^{2} - 1}{x^{2} + 4 x - 12} \div \frac{x + 1}{x - 2}$
218506	Solve for x	-6/x-4/7=6/(7x)	$\frac{- 6}{x} - \frac{4}{7} = \frac{6}{7 x}$
218507	Solve for x	2x-(5x-4)=4(-x+1)	$2 x - (5 x - 4) = 4 (- x + 1)$
218508	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,-2) and has a slope of -2 ?	What is the equation of the line that passes through the point $(4, - 2)$ and has a slope of $- 2$ ?
218509	Evaluate	i^7i^28i^25*i^19	$i^{7} \cdot i^{28} \cdot i^{25} \cdot i^{19}$
218510	Write the Fraction in Simplest Form	((4qh^-3)^-2)/(12q^8h^8)	$\frac{{(4 q h^{- 3})}^{- 2}}{12 q^{8} h^{8}}$
218511	Find the Remainder	(3x^3+9x^2-14)÷(x^2+x-3)	$(3 x^{3} + 9 x^{2} - 14) \div (x^{2} + x - 3)$
218512	Solve for x	4^x-5=3	$4^{x} - 5 = 3$
218513	Solve for x	9x-6-7x=8-12-2x	$9 x - 6 - 7 x = 8 - 12 - 2 x$
218514	Multiply	( square root of 7x+3)*( square root of 7x-3)	$(\sqrt{7 x} + 3) \cdot (\sqrt{7 x} - 3)$
218515	Find the Domain and Range	f(x)=2+5sin(2x)	$f (x) = 2 + 5 \sin (2 x)$
218516	Solve by Factoring	2e-3-1/5e=7/5+3e+4	$2 e - 3 - \frac{1}{5} e = \frac{7}{5} + 3 e + 4$
218517	Find the Degree, Leading Term, and Leading Coefficient	x^3-3x^2+6x-18	$x^{3} - 3 x^{2} + 6 x - 18$
218518	Factor	5a(2a-3b)+6(2a-3b)	$5 a (2 a - 3 b) + 6 (2 a - 3 b)$
218519	Simplify	(5-3zi)(1+6i)-(5-4zi)(1+6i)	$(5 - 3 z i) (1 + 6 i) - (5 - 4 z i) (1 + 6 i)$
218520	Solve for x	(4x+7)^2=(7x+4)^2	${(4 x + 7)}^{2} = {(7 x + 4)}^{2}$
218521	Evaluate the Function	f(-3)=2(-3)^2-3*-3	$f (- 3) = 2 {(- 3)}^{2} - 3 \cdot - 3$
218522	Solve by Substitution	3x-2y=11 x-1/2y=4	$3 x - 2 y = 11$ $x - \frac{1}{2} y = 4$
218523	Evaluate	(-b+ square root of b^2-4ac)/(2a)	$\frac{- b + \sqrt{b^{2} - 4 a c}}{2 a}$
218524	Simplify	( square root of 48k)/( square root of 5)	$\frac{\sqrt{48 k}}{\sqrt{5}}$
218525	Simplify	t^2-59t+54-82t^2+60t	$t^{2} - 59 t + 54 - 82 t^{2} + 60 t$
218526	Write in Standard Form	f(x)=-3x^3+2x^5+x+8x^3-6+x^4-3x^2	$f (x) = - 3 x^{3} + 2 x^{5} + x + 8 x^{3} - 6 + x^{4} - 3 x^{2}$
218527	Simplify	((5a^2)(6p^3))/((2a^3)(5^-1p)^-2)	$\frac{(5 a^{2}) (6 p^{3})}{(2 a^{3}) {(5^{- 1} p)}^{- 2}}$
218528	Simplify	(21d^18e^5)/(7d^11e^6)	$\frac{21 d^{18} e^{5}}{7 d^{11} e^{6}}$
218529	Find the Product	(2x^2+xy-y)(y^2+3x)	$(2 x^{2} + x y - y) (y^{2} + 3 x)$
218530	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,5) and has a slope of -2 ?	What is the equation of the line that passes through the point $(- 3, 5)$ and has a slope of $- 2$ ?
218531	Divide	((x^2-4x-5)/(x^2-3x+2))÷((x^2-3x-10)/(x^2-4))	$\frac{x^{2} - 4 x - 5}{x^{2} - 3 x + 2} \div \frac{x^{2} - 3 x - 10}{x^{2} - 4}$
218532	Simplify	square root of 3x+ square root of 12+(x+5)/( square root of 3)	$\sqrt{3 x} + \sqrt{12} + \frac{x + 5}{\sqrt{3}}$
218533	Simplify	4 square root of 3*0.3 square root of 3	$4 \sqrt{3} \cdot 0.3 \sqrt{3}$
218534	Solve for x	3(x-3)^2+2=26	$3 {(x - 3)}^{2} + 2 = 26$
218535	Simplify	(4+ square root of -25)( square root of -100)	$(4 + \sqrt{- 25}) (\sqrt{- 100})$
218536	Solve for x	f(-x)=3x^2+2x-4	$f (- x) = 3 x^{2} + 2 x - 4$
218537	Solve for m	1/(7/(3/4))=1/(6/m)	$\frac{1}{\frac{7}{\frac{3}{4}}} = \frac{1}{\frac{6}{m}}$
218538	Find the Exact Value	sin(135 degrees )-sin(270 degrees )	$\sin (135 °) - \sin (270 °)$
218539	Convert to a Decimal	Write the fraction 3/5 as a decimal.	Write the fraction $\frac{3}{5}$ as a decimal.
218540	Simplify	4/7x^3+1/7x^3	$\frac{4}{7} x^{3} + \frac{1}{7} x^{3}$
218541	Solve for x	-(x-4)+5(2x+1)=4(2x-2)+14	$- (x - 4) + 5 (2 x + 1) = 4 (2 x - 2) + 14$
218542	Find the Equation of the Circle	(1,-7) , r=-3	$(1, - 7)$ , $r = - 3$
218543	Solve for k	6^(k+4)=2^(1-3k)	$6^{k + 4} = 2^{1 - 3 k}$
218544	Find the Domain and Range	y=7arctan(3x)	$y = 7 \arctan (3 x)$
218545	Find the x and y Intercepts	y=x^4+3x^3-10x^2-24x	$y = x^{4} + 3 x^{3} - 10 x^{2} - 24 x$
218546	Simplify	(r^3-6t^4)(r^3+6t^4)	$(r^{3} - 6 t^{4}) (r^{3} + 6 t^{4})$
218547	Solve for x	5^x+5^(x-1)=150	$5^{x} + 5^{x - 1} = 150$
218548	Evaluate	1/a-1/b	$\frac{1}{a} - \frac{1}{b}$
218549	Simplify	3(5i-4)-2(6i-7)	$3 (5 i - 4) - 2 (6 i - 7)$
218550	Simplify	(tan(x))/(sec(x)^2)	$\frac{\tan (x)}{\sec^{2} (x)}$
218551	Simplify	4^x4^(x+1)4	$4^{x} \cdot 4^{x + 1} \cdot 4$
218552	Simplify	(16x-4)/(16x^2-8x+1)	$\frac{16 x - 4}{16 x^{2} - 8 x + 1}$
218553	Simplify	( square root of 6^3)/( fourth root of 6)	$\frac{\sqrt{6^{3}}}{\sqrt[4]{6}}$
218554	Graph	16(x-3)^2+4y^2<=64 y<=-\|x-2\|+2	$16 {(x - 3)}^{2} + 4 y^{2} \leq 64$ $y \leq - \| x - 2 \| + 2$
218555	Solve for t	2t-9=14+t	$2 t - 9 = 14 + t$
218556	Find the Degree	-10x^6-2x^5+4x^4+7x^3-9x^2+5.5x-1	$- 10 x^{6} - 2 x^{5} + 4 x^{4} + 7 x^{3} - 9 x^{2} + 5.5 x - 1$
218557	Evaluate	1/(-1^2)	$\frac{1}{- 1^{2}}$
218558	Solve for n	n-5<=5n-1	$n - 5 \leq 5 n - 1$
218559	Solve for a	2-3a^3=-148	$2 - 3 a^{3} = - 148$
218560	Graph	x-2y>-2 2x+y<3	$x - 2 y > - 2$ $2 x + y < 3$
218561	Solve the Inequality for x	2x-3<x+2<=3x+5	$2 x - 3 < x + 2 \leq 3 x + 5$
218562	Solve for x	x^3+12=-52	$x^{3} + 12 = - 52$
218563	Evaluate Using the Given Value	3x+8 if x=2	$3 x + 8$ if $x = 2$
218564	Solve the System of Equations	x^2=-32/3y x^2+y^2=100	$x^{2} = - \frac{32}{3} y$ $x^{2} + y^{2} = 100$
218565	Solve the Inequality for x	\|4x-2\|+3<9	$\| 4 x - 2 \| + 3 < 9$
218566	Multiply	(4-5x)(1-2x)(3x+2)	$(4 - 5 x) (1 - 2 x) (3 x + 2)$
218567	Graph	-18+n<-7	$- 18 + n < - 7$
218568	Write in y=mx+b Form	(-9,7) and (-6,-3)	$(- 9, 7)$ and $(- 6, - 3)$
218569	Find the Exact Value	cot(arcsin(-( square root of 2)/3))	$\cot (\arcsin (- \frac{\sqrt{2}}{3}))$
218570	Solve the Absolute Value Inequality for x	(4\|x-9\|)/3>8	$\frac{4 \| x - 9 \|}{3} > 8$
218571	Simplify	((2a^2b^4)/(a^4b))	$(\frac{2 a^{2} b^{4}}{a^{4} b})$
218572	Solve for c	c/(c-3)=3/(c-3)-3/4	$\frac{c}{c - 3} = \frac{3}{c - 3} - \frac{3}{4}$
218573	Write the Fraction in Simplest Form	(15r^6c^-8)/((3r^-3c)^-5)	$\frac{15 r^{6} c^{- 8}}{{(3 r^{- 3} c)}^{- 5}}$
218574	Simplify	(2/(3x^3))÷((4x^3)/3)	$\frac{2}{3 x^{3}} \div \frac{4 x^{3}}{3}$
218575	Evaluate	20% of 15	$20 %$ of $15$
218576	Solve for x	3^x*5^(x+1)=6^(x+2)	$3^{x} \cdot 5^{x + 1} = 6^{x + 2}$
218577	Solve the System of Equations	2x+y=-4 y=5/2x+5	$2 x + y = - 4$ $y = \frac{5}{2} x + 5$
218578	Evaluate	1+ natural log of 1	$1 + \ln (1)$
218579	Write in Standard Form	(5x^2-9)+(-10x+7)	$(5 x^{2} - 9) + (- 10 x + 7)$
218580	Solve for x	3/4(2x-16)=1/3(x+6)	$\frac{3}{4} (2 x - 16) = \frac{1}{3} (x + 6)$
218581	Evaluate	(2pi)÷2pi	$2 π \div 2 π$
218582	Solve for x	natural log of x>=3	$\ln (x) \geq 3$
218583	Solve the Inequality for x	4x^2+14x+14>=-3x+10	$4 x^{2} + 14 x + 14 \geq - 3 x + 10$
218584	Rationalize the Denominator	(10 cube root of z)/(2z^2)	$\frac{10 \sqrt[3]{z}}{2 z^{2}}$
218585	Simplify the Radical Expression	4/(1- square root of 3)	$\frac{4}{1 - \sqrt{3}}$
218586	Evaluate	3a^(-7/3)	$3 a^{- \frac{7}{3}}$
218587	Solve the System of Equations	2x=y-1 4x-2y+2=0	$2 x = y - 1$ $4 x - 2 y + 2 = 0$
218588	Graph	f(x)=(2x^2+x-3)/(4x^2-3x-1)	$f (x) = \frac{2 x^{2} + x - 3}{4 x^{2} - 3 x - 1}$
218589	Simplify the Radical Expression	square root of 2*0.5 square root of 8	$\sqrt{2} \cdot 0.5 \sqrt{8}$
218590	Factor	c^30+27/1000	$c^{30} + \frac{27}{1000}$
218591	Solve for x	y = square root of (2x+1)/(x-1)	$y = \sqrt{\frac{2 x + 1}{x - 1}}$
218592	Simplify/Condense	log base 3 of y+ log base 3 of x-1/2 log base 3 of x+3 log base 3 of z	$\log_{3} (y) + \log_{3} (x) - \frac{1}{2} \log_{3} (x) + 3 \log_{3} (z)$
218593	Simplify the Radical Expression	square root of 72a^3b^4c^5	$\sqrt{72 a^{3} b^{4} c^{5}}$
218594	Solve for x	1/3x^2=48/25	$\frac{1}{3} x^{2} = \frac{48}{25}$
218595	Solve the System of Equations	-9x-y+2z=-4 -6x+y+5z=2 -4x+y+5z=6	$- 9 x - y + 2 z = - 4$ $- 6 x + y + 5 z = 2$ $- 4 x + y + 5 z = 6$
218596	Simplify	( cube root of r^20s^8)/( cube root of r^2s^2)	$\frac{\sqrt[3]{r^{20} s^{8}}}{\sqrt[3]{r^{2} s^{2}}}$
218597	Find the 5th Term	2/3 , 4/9 , 8/27 , 16/81	$\frac{2}{3}$ , $\frac{4}{9}$ , $\frac{8}{27}$ , $\frac{16}{81}$
218598	Simplify the Radical Expression	5 square root of 20-2 square root of 75+4 square root of 12	$5 \sqrt{20} - 2 \sqrt{75} + 4 \sqrt{12}$
218599	Simplify	square root of a^4b^6c^2	$\sqrt{a^{4} b^{6} c^{2}}$
218600	Simplify	(x^2-1)/(5xy)*(x^2y)/(1+x)	$\frac{(x^{2} - 1)}{5 x y} \cdot \frac{x^{2} y}{1 + x}$