Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
194201	Factor	8f^3g-216g	$8 f^{3} g - 216 g$
194202	Solve for p	\|-5p\|=35	$\| - 5 p \| = 35$
194203	Evaluate Using the Given Value	a-5-b ; use a=10 ; and b=4	$a - 5 - b$ ; use $a = 10$ ; and $b = 4$
194204	Find the Perpendicular Line	(1,8) and perpendicular to 2x+7y=1	$(1, 8)$ and perpendicular to $2 x + 7 y = 1$
194205	Evaluate	40% of 30	$40 %$ of $30$
194206	Solve for f	4/5f+1/5e=8	$\frac{4}{5} f + \frac{1}{5} e = 8$
194207	Solve for x	4=-x/13	$4 = - \frac{x}{13}$
194208	Graph	f(x)=(x^2+2x-48)/(g(x))	$f (x) = \frac{x^{2} + 2 x - 48}{g (x)}$
194209	Multiply	( square root of x)^2	${(\sqrt{x})}^{2}$
194210	Describe the Transformation	f(x-3)	$f (x - 3)$
194211	Combine Like Terms	3(4h+2k)	$3 (4 h + 2 k)$
194212	Solve for b	c/(a-b)=1	$\frac{c}{a - b} = 1$
194213	Solve for x	2/3=30/(27+2x)	$\frac{2}{3} = \frac{30}{27 + 2 x}$
194214	Solve the Inequality for x	1-4/7>6x+2/7-5x	$1 - \frac{4}{7} > 6 x + \frac{2}{7} - 5 x$
194215	Graph Using a Table of Values	f(x)=(-4x+6)/(-x+2)	$f (x) = \frac{- 4 x + 6}{- x + 2}$
194216	Solve the System of Equations	x^2+y^2=25 x-3y=15	$x^{2} + y^{2} = 25$ $x - 3 y = 15$
194217	Find the Midpoint	(3,-5) and (7,9)	$(3, - 5)$ and $(7, 9)$
194218	Evaluate	-1/6(200)^2+100(200)	$- \frac{1}{6} {(200)}^{2} + 100 (200)$
194219	Solve for x	2\|x-7\|=x-8	$2 \| x - 7 \| = x - 8$
194220	Solve for x	(2x)/(x+5)+4/(x+3)=8/(x^2+8x+15)	$\frac{2 x}{x + 5} + \frac{4}{x + 3} = \frac{8}{x^{2} + 8 x + 15}$
194221	Evaluate	6(x^2-1)*(6x-1)/(6(x+1))	$6 (x^{2} - 1) \cdot \frac{6 x - 1}{6 (x + 1)}$
194222	Solve for x	(3x+4)/(x^2)=2/x	$\frac{3 x + 4}{x^{2}} = \frac{2}{x}$
194223	Multiply	3 square root of 10(y^2 square root of 4+ square root of 8y)	$3 \sqrt{10} (y^{2} \sqrt{4} + \sqrt{8 y})$
194224	Solve the System of Inequalities	y<=1/2x+2 y<-2x-3	$y \leq \frac{1}{2} x + 2$ $y < - 2 x - 3$
194225	Solve the Inequality for m	3m-3(m+8)>3m	$3 m - 3 (m + 8) > 3 m$
194226	Graph	y=-1/4cos(4x)	$y = - \frac{1}{4} \cos (4 x)$
194227	Evaluate Using the Given Value	4x+x for x=10	$4 x + x$ for $x = 10$
194228	Solve for y	3+1/5y=2x+4	$3 + \frac{1}{5} y = 2 x + 4$
194229	Multiply	(5m^2-3m^2+6)y(-3m+2)	$(5 m^{2} - 3 m^{2} + 6) y (- 3 m + 2)$
194230	Solve for θ	cos(theta)=(- square root of 3)/2	$\cos (θ) = \frac{- \sqrt{3}}{2}$
194231	Convert to Interval Notation	7x^2+21x-28<0	$7 x^{2} + 21 x - 28 < 0$
194232	Solve for x	2/(3(x-1))=x/(x-1)	$\frac{2}{3 (x - 1)} = \frac{x}{(x - 1)}$
194233	Find the Equation Using Slope-Intercept Form	m=4/15 ; passes through (5,8)	$m = \frac{4}{15}$ ; passes through $(5, 8)$
194234	Find g(f(x))	f(x)=x/6 g(x)=6x	$f (x) = \frac{x}{6}$ $g (x) = 6 x$
194235	Solve for x	x/(x+2)+1/(x-2)=(2x)/(x^2-4)	$\frac{x}{x + 2} + \frac{1}{x - 2} = \frac{2 x}{x^{2} - 4}$
194236	Evaluate	log base 3 of x^2-15 = log base 3 of 2x	$\log_{3} (x^{2} - 15) = \log_{3} (2 x)$
194237	Solve for x	3x-1=2^x	$3 x - 1 = 2^{x}$
194238	Find All Complex Solutions	4sec(theta)+6=-2	$4 \sec (θ) + 6 = - 2$
194239	Factor	a(x+1)-x-1	$a (x + 1) - x - 1$
194240	Find the Domain and Range	y=\|3x\|	$y = \| 3 x \|$
194241	Solve for g	4g-3<7g+1	$4 g - 3 < 7 g + 1$
194242	Divide	(3 square root of 8)/(4 square root of 6)	$\frac{3 \sqrt{8}}{4 \sqrt{6}}$
194243	Solve Using the Quadratic Formula	x^2=(2x+1)^2	$x^{2} = {(2 x + 1)}^{2}$
194244	Graph	-2x^3-4x^2+6x	$- 2 x^{3} - 4 x^{2} + 6 x$
194245	Find the Domain and Range	1/( square root of 4-x^2)	$\frac{1}{\sqrt{4 - x^{2}}}$
194246	Solve for n	3=4n-2	$3 = 4 n - 2$
194247	Solve for x	3(1-x)<-3x+2	$3 (1 - x) < - 3 x + 2$
194248	Solve for p	3/5(1+p)=21/20	$\frac{3}{5} (1 + p) = \frac{21}{20}$
194249	Graph	f(x)<=4	$f (x) \leq 4$
194250	Solve for g	3(g-7)=2(10+g)	$3 (g - 7) = 2 (10 + g)$
194251	Solve for b	\|b\|=2/3	$\| b \| = \frac{2}{3}$
194252	Divide	(1/x)÷(2/x)	$\frac{1}{x} \div \frac{2}{x}$
194253	Solve for t	4(t+1)=6t-1	$4 (t + 1) = 6 t - 1$
194254	Simplify	5 square root of 24*2 square root of 28	$5 \sqrt{24} \cdot 2 \sqrt{28}$
194255	Solve for x	3x-(4-2x)=x+8	$3 x - (4 - 2 x) = x + 8$
194256	Find the Domain and Range	f(x)=-1/3*6^x+5	$f (x) = - \frac{1}{3} \cdot 6^{x} + 5$
194257	Simplify	(x^-2+y^-2)/((xy)^-1)	$\frac{x^{- 2} + y^{- 2}}{{(x y)}^{- 1}}$
194258	Solve the Absolute Value Inequality for x	4\|3x+4\|=4x+8	$4 \| 3 x + 4 \| = 4 x + 8$
194259	Find All Complex Solutions	csc(x)+2=0	$\csc (x) + 2 = 0$
194260	Find the Degree, Leading Term, and Leading Coefficient	f(x)=3-10x+5x^4+5x^2+8x^7	$f (x) = 3 - 10 x + 5 x^{4} + 5 x^{2} + 8 x^{7}$
194261	Write in Slope-Intercept Form	2x+3y=5x-y	$2 x + 3 y = 5 x - y$
194262	Solve by Substitution	y=3x+5 and 3y-2x=1	$y = 3 x + 5$ and $3 y - 2 x = 1$
194263	Solve for b	-5(3x^2+5x+b)=ax^2-25x+45	$- 5 (3 x^{2} + 5 x + b) = a x^{2} - 25 x + 45$
194264	Find the Product	(2x+5)(x-2)(3x+4)	$(2 x + 5) (x - 2) (3 x + 4)$
194265	Solve for x	log base 2 of -45x-185- log base 2 of 5=3	$\log_{2} (- 45 x - 185) - \log_{2} (5) = 3$
194266	Find the Domain and Range	f^-1(x)=5x-2	$f^{- 1} (x) = 5 x - 2$
194267	Evaluate	((5^4)^6)/(5^2)	$\frac{{(5^{4})}^{6}}{5^{2}}$
194268	Simplify	(342)^5	${(3 \cdot 4 \cdot 2)}^{5}$
194269	Solve Using the Quadratic Formula	x^3+216=0	$x^{3} + 216 = 0$
194270	Solve the Inequality for x	x/(x+1)<(3-x)/(1-x)	$\frac{x}{x + 1} < \frac{3 - x}{1 - x}$
194271	Find the Product	square root of 10* square root of 10	$\sqrt{10} \cdot \sqrt{10}$
194272	Solve for B	T=C(2+AB)	$T = C (2 + A B)$
194273	Evaluate	square root of 15-2*3	$\sqrt{15 - 2 \cdot 3}$
194274	Solve the Inequality for x	0<5-2x	$0 < 5 - 2 x$
194275	Convert to Interval Notation	(6x)/(x-6)>2	$\frac{6 x}{x - 6} > 2$
194276	Solve for θ	sin(theta)=1+cos(theta)	$\sin (θ) = 1 + \cos (θ)$
194277	Solve for h	h-8>4h+5	$h - 8 > 4 h + 5$
194278	Simplify	(x^2-1)/(3x)*(6x)/(2x-2)	$\frac{x^{2} - 1}{3 x} \cdot \frac{6 x}{2 x - 2}$
194279	Solve for y	-12x+yi=60-13i	$- 12 x + y i = 60 - 13 i$
194280	Solve for w	-2(w-7)+10w=34	$- 2 (w - 7) + 10 w = 34$
194281	Find the Degree	(x+1)^2(x-5)=0	${(x + 1)}^{2} (x - 5) = 0$
194282	Simplify	3-x^2+x^2-4	$3 - x^{2} + x^{2} - 4$
194283	Simplify	5/(6(x+3))+(x+4)/(2x)	$\frac{5}{6 (x + 3)} + \frac{x + 4}{2 x}$
194284	Simplify	(x^28)/(7^-56)	$\frac{x^{28}}{7^{- 56}}$
194285	Solve for a	( square root of x^5)/(x^5)=x^a	$\frac{\sqrt{x^{5}}}{x^{5}} = x^{a}$
194286	Multiply	(cos(theta))/(csc(theta)+1)*(csc(theta)-1)/(csc(theta)-1)	$\frac{\cos (θ)}{\csc (θ) + 1} \cdot \frac{\csc (θ) - 1}{\csc (θ) - 1}$
194287	Find the Roots (Zeros)	3x^5-x^4+6x^3-2x^2+8x-5=0	$3 x^{5} - x^{4} + 6 x^{3} - 2 x^{2} + 8 x - 5 = 0$
194288	Solve for x	5/4x=-(-5x-6)+3/2x	$\frac{5}{4} x = - (- 5 x - 6) + \frac{3}{2} x$
194289	Find the Roots (Zeros)	x^6-64=0	$x^{6} - 64 = 0$
194290	Write in Standard Form	y+3=-1/3(2x+6)	$y + 3 = - \frac{1}{3} (2 x + 6)$
194291	Solve for x	-5x^2-9x=x^2+2x-8	$- 5 x^{2} - 9 x = x^{2} + 2 x - 8$
194292	Solve for x	(5x+3)/2+(3x-8)/4=4	$\frac{5 x + 3}{2} + \frac{3 x - 8}{4} = 4$
194293	Solve the Inequality for x	((x-2)(x+2))/x<=0	$\frac{(x - 2) (x + 2)}{x} \leq 0$
194294	Find the Perpendicular Line	(1,7) and perpendicular to 3x+7y=1	$(1, 7)$ and perpendicular to $3 x + 7 y = 1$
194295	Evaluate	(4+2^2)÷(1-0.5)	$(4 + 2^{2}) \div (1 - 0.5)$
194296	Simplify	(x/4+x/3)/(x/2)	$\frac{\frac{x}{4} + \frac{x}{3}}{\frac{x}{2}}$
194297	Simplify	((2a^3b^4)^3)/((2ab^2)^5)	$\frac{{(2 a^{3} b^{4})}^{3}}{{(2 a b^{2})}^{5}}$
194298	Simplify	4m+2mn+m^2+m+3m^2	$4 m + 2 m n + m^{2} + m + 3 m^{2}$
194299	Solve for c	-5c+d=2c ; for c	$- 5 c + d = 2 c$ ; for $c$
194300	Graph Using a Table of Values	f(x)=(x-3)^2	$f (x) = {(x - 3)}^{2}$