Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
178201	Simplify	(sin(x)^2+cos(x)^2)/(cos(x)^2)	$\frac{\sin^{2} (x) + \cos^{2} (x)}{\cos^{2} (x)}$
178202	Find the Holes in the Graph	f(x)=(x-10)/(3x-24)	$f (x) = \frac{x - 10}{3 x - 24}$
178203	Evaluate	f(f^-1(x))	$f (f^{- 1} (x))$
178204	Simplify	1/(sin(x)cos(x))	$\frac{1}{\sin (x) \cos (x)}$
178205	Solve the Inequality for x	-22-4x<-(4-5x)	$- 22 - 4 x < - (4 - 5 x)$
178206	Solve for x	2/9=x+11/9	$\frac{2}{9} = x + \frac{11}{9}$
178207	Solve the Inequality for x	2x^2+x>=15	$2 x^{2} + x \geq 15$
178208	Divide	x÷1	$x \div 1$
178209	Simplify the Radical Expression	cube root of 125x^9	$\sqrt[3]{125 x^{9}}$
178210	Find the Product	10-10*10+10	$10 - 10 \cdot 10 + 10$
178211	Simplify	(x^2-4x-10)+(x^2-9x+3)	$(x^{2} - 4 x - 10) + (x^{2} - 9 x + 3)$
178212	Solve Using the Quadratic Formula	3x-4	$3 x - 4$
178213	Solve for k	-k-5k=-5k-4	$- k - 5 k = - 5 k - 4$
178214	Solve for t	k(t)=10t-19	$k (t) = 10 t - 19$
178215	Solve by Substitution	2x=16-8y x+4y=25	$2 x = 16 - 8 y$ $x + 4 y = 25$
178216	Simplify	(-4(m^-3z^4)^2)/(12m^-4z^-1)	$\frac{- 4 {(m^{- 3} z^{4})}^{2}}{12 m^{- 4} z^{- 1}}$
178217	Find the Product	(n+3)^2	${(n + 3)}^{2}$
178218	Graph Using a Table of Values	y=3\|x\|	$y = 3 \| x \|$
178219	Graph	x+y<=5 x-y>=6	$x + y \leq 5$ $x - y \geq 6$
178220	Write in Slope-Intercept Form	y=7	$y = 7$
178221	Solve for k	3/4k+3/8k=1/2	$\frac{3}{4} k + \frac{3}{8} k = \frac{1}{2}$
178222	Find the Domain of the Composition f(g(x))	f(x)=4x+1 , g(x) = square root of x	$f (x) = 4 x + 1$ , $g (x) = \sqrt{x}$
178223	Find the x and y Intercepts	y=((2x+1)(x+7))/((x+3)(x+4))	$y = \frac{(2 x + 1) (x + 7)}{(x + 3) (x + 4)}$
178224	Solve the Inequality for x	(x+4)/(x-3)>0	$\frac{x + 4}{x - 3} > 0$
178225	Simplify	(-1/4)^-3	${(- \frac{1}{4})}^{- 3}$
178226	Evaluate	28^2+7-76	$2 \cdot 8^{2} + 7 - 7 \cdot 6$
178227	Solve for v	7w=1/2(w+v)	$7 w = \frac{1}{2} (w + v)$
178228	Simplify	(3+2i)/(2-3i)	$\frac{3 + 2 i}{2 - 3 i}$
178229	Simplify	(4(20+12))÷(4-3)	$4 (20 + 12) \div (4 - 3)$
178230	Solve the Inequality for x	(x^2-1)/(3x+9)<=0	$\frac{x^{2} - 1}{3 x + 9} \leq 0$
178231	Simplify	(4x^2-4x+1)/(8x^3-1)	$\frac{4 x^{2} - 4 x + 1}{8 x^{3} - 1}$
178232	Solve for x	1+(7x)/(x-6)=9/(x^2-6x)	$1 + \frac{7 x}{x - 6} = \frac{9}{x^{2} - 6 x}$
178233	Simplify	(6x^3y)(x^2)^-2	$(6 x^{3} y) {(x^{2})}^{- 2}$
178234	Solve for r	3+r/-4<=6	$3 + \frac{r}{- 4} \leq 6$
178235	Simplify	(x+1)/(x^2-1)+(x-1)/(x^2-2x+1)	$\frac{x + 1}{x^{2} - 1} + \frac{x - 1}{x^{2} - 2 x + 1}$
178236	Simplify	11(4cd)(-cd^5)	$11 (4 c d) (- c d^{5})$
178237	Expand the Logarithmic Expression	log of ( cube root of z^2y^2)/x	$\log (\frac{\sqrt[3]{z^{2}} y^{2}}{x})$
178238	Evaluate	2sin(theta)^2-sin(theta)-1=0	$2 \sin^{2} (θ) - \sin (θ) - 1 = 0$
178239	Convert to Rectangular	theta=pi	$θ = π$
178240	Solve by Completing the Square	x^2+98=8x+7	$x^{2} + 98 = 8 x + 7$
178241	Find the Midpoint	(10,2) and (5,-7)	$(10, 2)$ and $(5, - 7)$
178242	Find the x and y Intercepts	(x-1)(-x+5)=y	$(x - 1) (- x + 5) = y$
178243	Evaluate	log base 3 of 13- log base 3 of 39	$\log_{3} (13) - \log_{3} (39)$
178244	Find the Exact Value	cos(5)pi/6	$\cos (5) \frac{π}{6}$
178245	Graph	y<-2/5x-2/5	$y < - \frac{2}{5} x - \frac{2}{5}$
178246	Solve for b	((2xy)^4)/(4xy)=4x^ay^b	$\frac{{(2 x y)}^{4}}{4 x y} = 4 x^{a} y^{b}$
178247	Simplify	(18x^2y^3z^2)/(30x^2yz^4)	$\frac{18 x^{2} y^{3} z^{2}}{30 x^{2} y z^{4}}$
178248	Solve for x	5/(x^2)-38/x=16	$\frac{5}{x^{2}} - \frac{38}{x} = 16$
178249	Find the Roots (Zeros)	V(x)=2x^4-7x^3+x^2+7x-3	$V (x) = 2 x^{4} - 7 x^{3} + x^{2} + 7 x - 3$
178250	Find the Exact Value	27^(-2/3)	$27^{- \frac{2}{3}}$
178251	Solve for x	3x^2+1-7x=13x^2	$3 x^{2} + 1 - 7 x = 13 x^{2}$
178252	Graph	F(x)=(x-2)^3-3	$F (x) = {(x - 2)}^{3} - 3$
178253	Find the Exact Value	cos(arcsin(12x))	$\cos (\arcsin (12 x))$
178254	Find the Exact Value	1/7-3(3/7n-2/7)	$\frac{1}{7} - 3 (\frac{3}{7} n - \frac{2}{7})$
178255	Evaluate	pi/2-(-pi/2)	$\frac{π}{2} - (- \frac{π}{2})$
178256	Rationalize the Denominator	( square root of a- square root of b)/( square root of a+ square root of b)	$\frac{\sqrt{a} - \sqrt{b}}{\sqrt{a} + \sqrt{b}}$
178257	Solve Using the Quadratic Formula	(2x-3)/(x-3)=(x-2)/(x-1)	$\frac{2 x - 3}{x - 3} = \frac{x - 2}{x - 1}$
178258	Solve for x	3(4x-1)+9-x=2x+8+9x	$3 (4 x - 1) + 9 - x = 2 x + 8 + 9 x$
178259	Solve for m	5m^2+1=6	$5 m^{2} + 1 = 6$
178260	Solve for x	-10=-14x+14x	$- 10 = - 14 x + 14 x$
178261	Evaluate	4m-4=4m	$4 m - 4 = 4 m$
178262	Simplify	(36x^5y^8z^10)/(15x^5y^7z^2)	$\frac{36 x^{5} y^{8} z^{10}}{15 x^{5} y^{7} z^{2}}$
178263	Graph	[-2,5)	$[- 2, 5)$
178264	Solve for x	-12x+yi=60-13i	$- 12 x + y i = 60 - 13 i$
178265	Graph	y=5/2sin(x-pi/3)	$y = \frac{5}{2} \sin (x - \frac{π}{3})$
178266	Solve for c	(4c-2)/10-4=(12c+4)/8	$\frac{4 c - 2}{10} - 4 = \frac{12 c + 4}{8}$
178267	Write in Standard Form	-22-3x^2-2x=-3	$- 22 - 3 x^{2} - 2 x = - 3$
178268	Find the Domain and Range	f(x)=-\|1/3(x+3)\|	$f (x) = - \| \frac{1}{3} (x + 3) \|$
178269	Solve for f	-1/5f+8=3/5(5/3f+15)-1/5f	$- \frac{1}{5} f + 8 = \frac{3}{5} (\frac{5}{3} f + 15) - \frac{1}{5} f$
178270	Simplify	(x^4)(3x^3-2)(4x^2+5x)	$(x^{4}) (3 x^{3} - 2) (4 x^{2} + 5 x)$
178271	Convert to Interval Notation	-4x-4<=0 or 4x-4<=5	$- 4 x - 4 \leq 0$ or $4 x - 4 \leq 5$
178272	Find the x and y Intercepts	(x-4)(x+2)=y	$(x - 4) (x + 2) = y$
178273	Describe the Transformation	f(x)=1/3x	$f (x) = \frac{1}{3} x$
178274	Simplify	6-4(x+1-(y+3))+5y	$6 - 4 (x + 1 - (y + 3)) + 5 y$
178275	Simplify	-6x^3xy^2*y^6	$- 6 x^{3} \cdot x \cdot y^{2} \cdot y^{6}$
178276	Solve the Inequality for k	-16<6k+2<0	$- 16 < 6 k + 2 < 0$
178277	Simplify	6x*2x^2	$6 x \cdot 2 x^{2}$
178278	Graph Using a Table of Values	f(x)=x+7	$f (x) = x + 7$
178279	Solve for θ	2sin(theta)^2+ square root of 3sin(theta)=0	$2 \sin^{2} (θ) + \sqrt{3} \sin (θ) = 0$
178280	Solve for x	-6>=10-4x	$- 6 \geq 10 - 4 x$
178281	Factor	x^3-20x+x^5	$x^{3} - 20 x + x^{5}$
178282	Find the Exact Value	sec(390 degrees )	$\sec (390 °)$
178283	Write in Standard Form	3+2y-x=0	$3 + 2 y - x = 0$
178284	Find the Roots (Zeros)	x(x-3)=0	$x (x - 3) = 0$
178285	Graph	5x+1<=11	$5 x + 1 \leq 11$
178286	Simplify	(5x^4+y)^2	${(5 x^{4} + y)}^{2}$
178287	Solve for y	1/y-1/(y^2)=-(y-1)/y	$\frac{1}{y} - \frac{1}{y^{2}} = - \frac{y - 1}{y}$
178288	Solve for x	(4x)/(x+5)=x/(x+4)	$\frac{4 x}{x + 5} = \frac{x}{x + 4}$
178289	Simplify	xy+3xy^2-2xy+3x^2y-2xy^2+xy	$x y + 3 x y^{2} - 2 x y + 3 x^{2} y - 2 x y^{2} + x y$
178290	Simplify	(20n^3+15n^2)/(20n^2+10n)	$\frac{20 n^{3} + 15 n^{2}}{20 n^{2} + 10 n}$
178291	Multiply	3/23/23/2	$\frac{3}{2} \cdot \frac{3}{2} \cdot \frac{3}{2}$
178292	Write in Standard Form	7x+15+x^2=-1	$7 x + 15 + x^{2} = - 1$
178293	Graph	N=(20(5+3t))/(1+0.04t) , t>=0	$N = \frac{20 (5 + 3 t)}{1 + 0.04 t}$ , $t \geq 0$
178294	Simplify	((x+2)/(x^3+2x^2-9x-18))÷((3x+1)/(x^2-9))	$\frac{x + 2}{x^{3} + 2 x^{2} - 9 x - 18} \div \frac{3 x + 1}{x^{2} - 9}$
178295	Simplify	x+x+y*y	$x + x + y \cdot y$
178296	Solve the Inequality for x	6(x-5)>3(x-1)	$6 (x - 5) > 3 (x - 1)$
178297	Convert to a Decimal	-3 7/16	$- 3 \frac{7}{16}$
178298	Solve the Inequality for x	2x-5>7	$2 x - 5 > 7$
178299	Solve for x	(x+1)/(x-1)=6/x	$\frac{x + 1}{x - 1} = \frac{6}{x}$
178300	Solve the System of Equations	8y-9x=-3 5y-8x=10	$8 y - 9 x = - 3$ $5 y - 8 x = 10$