Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
190201	Find the Distance Between Two Points	(-5,-9) and (-8,0)	$(- 5, - 9)$ and $(- 8, 0)$
190202	Solve for x	x^4-9=0	$x^{4} - 9 = 0$
190203	Find the Holes in the Graph	(2x^2+6x)/(-4x^2+8x)	$\frac{2 x^{2} + 6 x}{- 4 x^{2} + 8 x}$
190204	Solve the System of Equations	xy=-4 2y=x-6	$x y = - 4$ $2 y = x - 6$
190205	Solve for x	-5(-6x-6)=8+4/3(3/2x-6)+5x	$- 5 (- 6 x - 6) = 8 + \frac{4}{3} (\frac{3}{2} x - 6) + 5 x$
190206	Factor	(m+n)(a-2)+(m-n)(a-2)	$(m + n) (a - 2) + (m - n) (a - 2)$
190207	Graph	y>=1/3x-4/3	$y \geq \frac{1}{3} x - \frac{4}{3}$
190208	Simplify	17x>-17	$17 x > - 17$
190209	Factor	P(x)=x^4-4x^3+3x^2	$P (x) = x^{4} - 4 x^{3} + 3 x^{2}$
190210	Find the Product	(3a+b)^2	${(3 a + b)}^{2}$
190211	Convert to Polar	(x-6)^2+y^2=36	${(x - 6)}^{2} + y^{2} = 36$
190212	Graph	f(x)=inx	$f (x) = i n x$
190213	Find the Excluded Values	(-3x+21)/(-2x-4)*(x^2-16)/(x-7)	$\frac{- 3 x + 21}{- 2 x - 4} \cdot \frac{x^{2} - 16}{x - 7}$
190214	Simplify	(5x^2)/(10x)*(6x)/(5x^5)	$\frac{5 x^{2}}{10 x} \cdot \frac{6 x}{5 x^{5}}$
190215	Solve for f	6-0.25f=f-3	$6 - 0.25 f = f - 3$
190216	Simplify	((3x^-2y^3)(5xy^-8))/((x^-3)^4y^-2)	$\frac{(3 x^{- 2} y^{3}) (5 x y^{- 8})}{{(x^{- 3})}^{4} y^{- 2}}$
190217	Simplify	(2+ square root of 8)/( square root of 6)	$\frac{2 + \sqrt{8}}{\sqrt{6}}$
190218	Solve for x	rx+qx-d=gc	$r x + q x - d = g c$
190219	Find the Distance Between Two Points	(-9,4) and (-5,-6)	$(- 9, 4)$ and $(- 5, - 6)$
190220	Divide	((14x^2+x-3)/(4x-8))÷((49x^2-9)/(x-2))	$\frac{14 x^{2} + x - 3}{4 x - 8} \div \frac{49 x^{2} - 9}{x - 2}$
190221	Solve the Inequality for x	25^(x+1)<=125^x	$25^{x + 1} \leq 125^{x}$
190222	Simplify	(y+y^2)/(y^(-2/3))	$\frac{y + y^{2}}{y^{- \frac{2}{3}}}$
190223	Solve for F	F(c)=9/5C+32	$F (c) = \frac{9}{5} C + 32$
190224	Simplify	(r^6n^-7)/(r^4n^2)	$\frac{r^{6} n^{- 7}}{r^{4} n^{2}}$
190225	Factor	ax+bx-cx	$a x + b x - c x$
190226	Multiply	222222222	$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2$
190227	Solve the Absolute Value Inequality for c	\|c-10\|=3	$\| c - 10 \| = 3$
190228	Simplify	(-7+8i)-(-5i+4i^2)	$(- 7 + 8 i) - (- 5 i + 4 i^{2})$
190229	Multiply	1/2*1/2	$\frac{1}{2} \cdot \frac{1}{2}$
190230	Solve for x	sec(x)sin(x)-2sin(x)=0	$\sec (x) \sin (x) - 2 \sin (x) = 0$
190231	Solve for v	9v^2=-30v-25	$9 v^{2} = - 30 v - 25$
190232	Divide	((x^2+6x+9)/(x^2+3x+2))÷((x+3)/(x-1))	$\frac{x^{2} + 6 x + 9}{x^{2} + 3 x + 2} \div \frac{x + 3}{x - 1}$
190233	Solve for x	-10(x-1)=10-10x	$- 10 (x - 1) = 10 - 10 x$
190234	Simplify	(1-y/x)/(1/y+1/x)	$\frac{1 - \frac{y}{x}}{\frac{1}{y} + \frac{1}{x}}$
190235	Divide	((36y)/(y^2-2y+1))÷((12y^2)/(y^2-1))	$\frac{36 y}{y^{2} - 2 y + 1} \div \frac{12 y^{2}}{y^{2} - 1}$
190236	Evaluate	-1/4(-4)^2+4	$- \frac{1}{4} {(- 4)}^{2} + 4$
190237	Multiply	3/87/92	$\frac{3}{8} \cdot \frac{7}{9} \cdot 2$
190238	Solve for x	2x-5=-3x^2	$2 x - 5 = - 3 x^{2}$
190239	Find the Distance Between Two Points	(0,-2) and (4,2)	$(0, - 2)$ and $(4, 2)$
190240	Convert to a Simplified Fraction	0.333...	$0.333 \dots$
190241	Solve for m	x^2+7x+m=31+m	$x^{2} + 7 x + m = 31 + m$
190242	Solve for y	x = square root of (y+1)/(y-2)	$x = \sqrt{\frac{y + 1}{y - 2}}$
190243	Convert to Interval Notation	x<=3 or x>7	$x \leq 3$ or $x > 7$
190244	Solve for x	\|3x-6\|>\|2x+1\|	$\| 3 x - 6 \| > \| 2 x + 1 \|$
190245	Simplify	((4x^2-23x-6)/(3x^2-14x+8))÷((4x^2+25x+6)/(x^2+x-30))	$\frac{4 x^{2} - 23 x - 6}{3 x^{2} - 14 x + 8} \div \frac{4 x^{2} + 25 x + 6}{x^{2} + x - 30}$
190246	Solve by Factoring	2x=3-x^2	$2 x = 3 - x^{2}$
190247	Solve for x	(2x)/(x+1)>=1	$\frac{2 x}{x + 1} \geq 1$
190248	Write as a Single Logarithm	2 log base 4 of 3+ log base 4 of 2	$2 \log_{4} (3) + \log_{4} (2)$
190249	Find the x and y Intercepts	f(x)=1/2x^2-4	$f (x) = \frac{1}{2} x^{2} - 4$
190250	Solve for j	35=j/5	$35 = \frac{j}{5}$
190251	Convert to a Decimal	405deg	$405$ degrees
190252	Simplify	(- square root of -1)	$(- \sqrt{- 1})$
190253	Find the Roots (Zeros)	f(x)=-(x+2)(x+1)^2(x-1)	$f (x) = - (x + 2) {(x + 1)}^{2} (x - 1)$
190254	Solve the Absolute Value Inequality for x	\|x\|+7>16	$\| x \| + 7 > 16$
190255	Find the Distance Between Two Points	(0,-5) and (6,1)	$(0, - 5)$ and $(6, 1)$
190256	Simplify	1/4(-4^3+10^2)	$\frac{1}{4} (- 4^{3} + 10^{2})$
190257	Solve the Absolute Value Inequality for r	9\|r-2\|-10<-73	$9 \| r - 2 \| - 10 < - 73$
190258	Solve for x	4.2(15+5x)=-20x-21-x	$4.2 (15 + 5 x) = - 20 x - 21 - x$
190259	Graph	\|x+3\|-2<=0	$\| x + 3 \| - 2 \leq 0$
190260	Simplify	(3p-5q-6r)+(2p+3q-2r)+(-12p+4q+r)	$(3 p - 5 q - 6 r) + (2 p + 3 q - 2 r) + (- 12 p + 4 q + r)$
190261	Simplify	5/8-(-7/2)	$\frac{5}{8} - (- \frac{7}{2})$
190262	Solve the System of Equations	y=x^2+2 y=4x-1	$y = x^{2} + 2$ $y = 4 x - 1$
190263	Simplify	(n/12-2/9)/(n/6)	$\frac{\frac{n}{12} - \frac{2}{9}}{\frac{n}{6}}$
190264	Write in Slope-Intercept Form	x+y>2	$x + y > 2$
190265	Solve for x	\|x/3+2/5\|=2	$\| \frac{x}{3} + \frac{2}{5} \| = 2$
190266	Find the Holes in the Graph	f(x)=(x+1)/(x^2-1)	$f (x) = \frac{x + 1}{x^{2} - 1}$
190267	Simplify	17-(5*4)÷2	$17 - 5 \cdot 4 \div 2$
190268	Solve the Inequality for x	(x-2)/(x^2-9)<0	$\frac{x - 2}{x^{2} - 9} < 0$
190269	Simplify	(a+2b)(a^2-2ab-4b^2)	$(a + 2 b) (a^{2} - 2 a b - 4 b^{2})$
190270	Simplify	3ab-9ab+7ab	$3 a b - 9 a b + 7 a b$
190271	Evaluate	2-(4-3-2÷2)	$2 - (4 - 3 - 2 \div 2)$
190272	Find the x and y Intercepts	f(x)=-4*(0.3)^x+1	$f (x) = - 4 \cdot {(0.3)}^{x} + 1$
190273	Solve the Inequality for x	4x^2<9	$4 x^{2} < 9$
190274	Solve for y	9y^2+25=-30y	$9 y^{2} + 25 = - 30 y$
190275	Find the Domain of the Composition f(g(x))	f(x)=x+2 , g(x)=2x^2-3x-2	$f (x) = x + 2$ , $g (x) = 2 x^{2} - 3 x - 2$
190276	Simplify	7a-(4a-8a+3)+2a	$7 a - (4 a - 8 a + 3) + 2 a$
190277	Simplify	3^(-2/3)	$3^{- \frac{2}{3}}$
190278	Solve for a	21=-5/6a+1	$21 = - \frac{5}{6} a + 1$
190279	Solve the Inequality for x	5^x=25^(x-2)	$5^{x} = 25^{x - 2}$
190280	Solve the Absolute Value Inequality for a	-5\|6a+21\|=-15	$- 5 \| 6 a + 21 \| = - 15$
190281	Solve for x	5-2(3x^2-2x)=x^2+7-2x^2	$5 - 2 (3 x^{2} - 2 x) = x^{2} + 7 - 2 x^{2}$
190282	Factor by Grouping	a^6-b^6	$a^{6} - b^{6}$
190283	Find the Roots (Zeros)	f(x)=x^2(x-3)	$f (x) = x^{2} (x - 3)$
190284	Simplify	((b^-2)/(a^-2))(b/a)^2	$(\frac{b^{- 2}}{a^{- 2}}) {(\frac{b}{a})}^{2}$
190285	Solve for x	x^3-4x^2+8=0	$x^{3} - 4 x^{2} + 8 = 0$
190286	Graph Using a Table of Values	y=(3/2)^x	$y = {(\frac{3}{2})}^{x}$
190287	Find All Complex Solutions	sec(x)-2=0	$\sec (x) - 2 = 0$
190288	Solve for x	5-8x=3x^2-12x+3	$5 - 8 x = 3 x^{2} - 12 x + 3$
190289	Evaluate	(sin(theta)+cos(theta))^2	${(\sin (θ) + \cos (θ))}^{2}$
190290	Simplify	(d^2y)/(dx^2)	$\frac{d^{2} y}{d x^{2}}$
190291	Find the x and y Intercepts	3x+y	$3 x + y$
190292	Simplify	fourth root of 16w^10+2w fourth root of w^6	$\sqrt[4]{16 w^{10}} + 2 w \sqrt[4]{w^{6}}$
190293	Solve for k	(k+4)/2=(k+9)/3	$\frac{k + 4}{2} = \frac{k + 9}{3}$
190294	Solve for a	(x^3)^(1/5) square root of x=x^a	${(x^{3})}^{\frac{1}{5}} \sqrt{x} = x^{a}$
190295	Simplify	(12^2)^(1/4)	${(12^{2})}^{\frac{1}{4}}$
190296	Simplify	\|-3*2\|	$\| - 3 \cdot 2 \|$
190297	Evaluate	csc(pi/4)^2	$\csc^{2} (\frac{π}{4})$
190298	Solve for h	x=(r-h)/y	$x = \frac{r - h}{y}$
190299	Find the Roots (Zeros)	(2x)/(x+4)=3/(x-1)	$\frac{2 x}{x + 4} = \frac{3}{x - 1}$
190300	Simplify	a/b+a/b	$\frac{a}{b} + \frac{a}{b}$