Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
230401	Find the Domain and Range	f(x)=arcsin(cos(x))	$f (x) = \arcsin (\cos (x))$
230402	Solve for x	3/2(x+4/3)=-11/2	$\frac{3}{2} (x + \frac{4}{3}) = - \frac{11}{2}$
230403	Simplify	( square root of 2 square root of 10)/( square root of 5)	$\frac{\sqrt{2} \sqrt{10}}{\sqrt{5}}$
230404	Simplify	x/(x+4)+(6x+5)/(4+x)	$\frac{x}{x + 4} + \frac{6 x + 5}{4 + x}$
230405	Simplify	Simplify (tan(theta))/(sec(theta))	Simplify $\frac{\tan (θ)}{\sec (θ)}$
230406	Evaluate	(1/2+2)/(1/2)	$\frac{\frac{1}{2} + 2}{\frac{1}{2}}$
230407	Simplify	10-3\|9-3(3-1)\|	$10 - 3 \| 9 - 3 (3 - 1) \|$
230408	Solve the Inequality for c	c/10>9	$\frac{c}{10} > 9$
230409	Solve the System of Inequalities	4<f+6 and f+6<5	$4 < f + 6$ and $f + 6 < 5$
230410	Convert to a Decimal	-3.5rad	$- 3.5$ radians
230411	Solve for n	3+8n-n=-18	$3 + 8 n - n = - 18$
230412	Simplify the Radical Expression	square root of 75x^2y	$\sqrt{75 x^{2}} y$
230413	Solve for m	cube root of m=4	$\sqrt[3]{m} = 4$
230414	Simplify	(24g^3)/(5f^2)*(10(gf)^3)/(8g^5f)	$\frac{24 g^{3}}{5 f^{2}} \cdot \frac{10 {(g f)}^{3}}{8 g^{5} f}$
230415	Multiply	2x(x^2+x-5)	$2 x (x^{2} + x - 5)$
230416	Solve for m	32=2^(2m-9)	$32 = 2^{2 m - 9}$
230417	Simplify	(6x^2y^3)/(2x^2y^2)*(10x^3y^4)/(18y^2)	$\frac{6 x^{2} y^{3}}{2 x^{2} y^{2}} \cdot \frac{10 x^{3} y^{4}}{18 y^{2}}$
230418	Write in Standard Form	y=(x-5)(x+5)(2x-1)	$y = (x - 5) (x + 5) (2 x - 1)$
230419	Simplify	(-2a^-2b^-1)^2	${(- 2 a^{- 2} b^{- 1})}^{2}$
230420	Evaluate	(x^-7)/(x^-6*x^-2)	$\frac{x^{- 7}}{x^{- 6} \cdot x^{- 2}}$
230421	Simplify	( square root of 2)/(2/(( square root of 2)/2))	$\frac{\sqrt{2}}{\frac{2}{\frac{\sqrt{2}}{2}}}$
230422	Simplify the Radical Expression	(-9 square root of -42)(5 square root of -6)	$(- 9 \sqrt{- 42}) (5 \sqrt{- 6})$
230423	Simplify	7/a+14/(a^2)	$\frac{7}{a} + \frac{14}{a^{2}}$
230424	Simplify	(x^2y-3x^2+y)+(3y-2x^2y)	$(x^{2} y - 3 x^{2} + y) + (3 y - 2 x^{2} y)$
230425	Multiply	(-xy^3)(4x^2y)	$(- x y^{3}) (4 x^{2} y)$
230426	Simplify	(2 square root of 8-6)( square root of 8-4)	$(2 \sqrt{8} - 6) (\sqrt{8} - 4)$
230427	Simplify	12 cube root of 16xy-5 cube root of 8xy+12 cube root of 2xy	$12 \sqrt[3]{16 x y} - 5 \sqrt[3]{8 x y} + 12 \sqrt[3]{2 x y}$
230428	Solve for x	(-3-x)^(1/2)=(3x+17)^(1/2)	${(- 3 - x)}^{\frac{1}{2}} = {(3 x + 17)}^{\frac{1}{2}}$
230429	Solve for u	-8.6(-84u-68)=-17.2(8u-93)	$- 8.6 (- 84 u - 68) = - 17.2 (8 u - 93)$
230430	Graph	\|x+1\|=\|-x-9\|	$\| x + 1 \| = \| - x - 9 \|$
230431	Find the Exact Value	(-1/2)^2+3(-1/2)+5	${(- \frac{1}{2})}^{2} + 3 (- \frac{1}{2}) + 5$
230432	Solve for x	2x-5 square root of x+2=0	$2 x - 5 \sqrt{x} + 2 = 0$
230433	Solve for t	7t+1<=t+4	$7 t + 1 \leq t + 4$
230434	Find the x and y Intercepts	h(x)=x^4-3x^2+x	$h (x) = x^{4} - 3 x^{2} + x$
230435	Evaluate	pi/4+pi/4+pi/4	$\frac{π}{4} + \frac{π}{4} + \frac{π}{4}$
230436	Solve the System of Equations	x+2y=6 -x-2y+6=0	$x + 2 y = 6$ $- x - 2 y + 6 = 0$
230437	Solve for x	sin(2x)=2cos(x)^2	$\sin (2 x) = 2 \cos^{2} (x)$
230438	Solve the System of Equations	-3x+9y=42 and 2x-2y=4	$- 3 x + 9 y = 42$ and $2 x - 2 y = 4$
230439	Solve for k	3k-14=3(k-5)+1	$3 k - 14 = 3 (k - 5) + 1$
230440	Solve for x	-x+1/2x=67/12+x+5/3-2	$- x + \frac{1}{2} x = \frac{67}{12} + x + \frac{5}{3} - 2$
230441	Simplify	cube root of 16+7 cube root of 2- cube root of 54	$\sqrt[3]{16} + 7 \sqrt[3]{2} - \sqrt[3]{54}$
230442	Simplify the Radical Expression	(n^(7/2))^3	${(n^{\frac{7}{2}})}^{3}$
230443	Solve for u	(5u)/8+2=(7u)/12	$\frac{5 u}{8} + 2 = \frac{7 u}{12}$
230444	Solve for y	y=-4/4+7	$y = \frac{- 4}{4} + 7$
230445	Solve the Inequality for a	3.4<0.4(a+12)	$3.4 < 0.4 (a + 12)$
230446	Graph	3x+4y<20 x-2y<0	$3 x + 4 y < 20$ $x - 2 y < 0$
230447	Combine Like Terms	(-x^4+13x^5+6x^3)+(6x^3+5x^5+7x^4)	$(- x^{4} + 13 x^{5} + 6 x^{3}) + (6 x^{3} + 5 x^{5} + 7 x^{4})$
230448	Simplify	(sec(theta)sin(theta))/(tan(theta)+cot(theta))	$\frac{\sec (θ) \sin (θ)}{\tan (θ) + \cot (θ)}$
230449	Solve by Substitution	x+y=5 y+1=3x^2+2x	$x + y = 5$ $y + 1 = 3 x^{2} + 2 x$
230450	Solve for p	square root of 8-p=2+ square root of 2p+3	$\sqrt{8 - p} = 2 + \sqrt{2 p + 3}$
230451	Solve for d	13=d÷6	$13 = d \div 6$
230452	Write in Exponential Form	fourth root of 7^5* fourth root of 7	$\sqrt[4]{7^{5}} \cdot \sqrt[4]{7}$
230453	Simplify	((x+3)/(x+1)-2)/(x-1)	$\frac{\frac{x + 3}{x + 1} - 2}{x - 1}$
230454	Solve for x	sin(x)^2+cos(x)=0	$\sin^{2} (x) + \cos (x) = 0$
230455	Solve the System of Inequalities	x<-5 and x<5	$x < - 5$ and $x < 5$
230456	Simplify	1/(cot(theta))+1/(tan(theta))	$\frac{1}{\cot (θ)} + \frac{1}{\tan (θ)}$
230457	Solve for b	b = cube root of 42* cube root of 42* cube root of 42	$b = \sqrt[3]{42} \cdot \sqrt[3]{42} \cdot \sqrt[3]{42}$
230458	Solve the Inequality for x	cos(x)>=-1/2	$\cos (x) \geq - \frac{1}{2}$
230459	Factor	f(x)=x^4+x^2-12	$f (x) = x^{4} + x^{2} - 12$
230460	Simplify	(2pq^2)^2(pq^2)^4	${(2 p q^{2})}^{2} {(p q^{2})}^{4}$
230461	Solve the System of Equations	x-2y+3z=9 -x+3y-z=-6 2x-5y+5z=17	$x - 2 y + 3 z = 9$ $- x + 3 y - z = - 6$ $2 x - 5 y + 5 z = 17$
230462	Solve for b	(9b)/16=3/8	$\frac{9 b}{16} = \frac{3}{8}$
230463	Simplify	cos(105 degrees )	$\cos (105 °)$
230464	Solve for d	d=( cube root of -55)^3	$d = {(\sqrt[3]{- 55})}^{3}$
230465	Solve for x	square root of x-1+ square root of 3x-2-3=0	$\sqrt{x - 1} + \sqrt{3 x - 2} - 3 = 0$
230466	Find the Degree	13x^2-6x=21	$13 x^{2} - 6 x = 21$
230467	Find the Product	2^42^5=(22)^(4+5)	$2^{4} \cdot 2^{5} = {(2 \cdot 2)}^{4 + 5}$
230468	Simplify	( square root of x+1/( square root of x))^2	${(\sqrt{x} + \frac{1}{\sqrt{x}})}^{2}$
230469	Solve for x	3x=39/7	$3 x = \frac{39}{7}$
230470	Convert to a Decimal	5% as a decimal	$5 %$ as a decimal
230471	Evaluate	2!*3!	$2! \cdot 3!$
230472	Simplify	2x^3y^-2*2x^5	$2 x^{3} y^{- 2} \cdot 2 x^{5}$
230473	Solve Using the Quadratic Formula	0=1/3x^2-3	$0 = \frac{1}{3} x^{2} - 3$
230474	Multiply	(-8m^7)(3n^5)	$(- 8 m^{7}) (3 n^{5})$
230475	Find the Complex Conjugate	(2- square root of 3)	$(2 - \sqrt{3})$
230476	Simplify the Radical Expression	square root of 18/81	$\sqrt{\frac{18}{81}}$
230477	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+15x^2+24x-14 is divided by 2x+7	Use the long division method to find the result when $2 x^{3} + 15 x^{2} + 24 x - 14$ is divided by $2 x + 7$
230478	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3-5x^2+3x+9 is divided by x+1	Use the long division method to find the result when $x^{3} - 5 x^{2} + 3 x + 9$ is divided by $x + 1$
230479	Write the Fraction in Simplest Form	(10v^3t^-5)/((2v^2t^-2)^-5)	$\frac{10 v^{3} t^{- 5}}{{(2 v^{2} t^{- 2})}^{- 5}}$
230480	Solve for y	xy+y^2=1	$x y + y^{2} = 1$
230481	Solve the Inequality for x	(6(x-3))/8>=3	$\frac{6 (x - 3)}{8} \geq 3$
230482	Convert to a Decimal	sin(74)deg	$\sin (74)$ degrees
230483	Solve the Inequality for g	-6(g+4)<=12	$- 6 (g + 4) \leq 12$
230484	Graph	x+y<=4 and x>=2	$x + y \leq 4$ and $x \geq 2$
230485	Multiply	3/4*2/9	$\frac{3}{4} \cdot \frac{2}{9}$
230486	Evaluate	(a-7)/3+(5a-3)/6-(2a+5)/4	$\frac{a - 7}{3} + \frac{5 a - 3}{6} - \frac{2 a + 5}{4}$
230487	Solve for F	C=(F-32)/1.8	$C = \frac{(F - 32)}{1.8}$
230488	Graph	f(x)=1/2cot(x)	$f (x) = \frac{1}{2} \cot (x)$
230489	Simplify	(kd^8)(kd)^8(k^8d)	$(k d^{8}) {(k d)}^{8} (k^{8} d)$
230490	Evaluate	(3+2i)(-2+3i)^-1*(-i)+1	$(3 + 2 i) {(- 2 + 3 i)}^{- 1} \cdot (- i) + 1$
230491	Solve the System of Equations	(x-3)^2+y^2=40 x-y=-1	${(x - 3)}^{2} + y^{2} = 40$ $x - y = - 1$
230492	Evaluate	((0.5)^2-2*0.5+4)	$({(0.5)}^{2} - 2 \cdot 0.5 + 4)$
230493	Solve for x	x^5=18x^3-81x	$x^{5} = 18 x^{3} - 81 x$
230494	Evaluate	(16*32)/(4^-3)	$\frac{16 \cdot 32}{4^{- 3}}$
230495	Evaluate	(8(109/125))/(3/5)	$\frac{8 (\frac{109}{125})}{\frac{3}{5}}$
230496	Factor	(x^6-1)	$(x^{6} - 1)$
230497	Evaluate	(sin(pi/3)tan(pi/6)+csc(pi/4))^2	${(\sin (\frac{π}{3}) \tan (\frac{π}{6}) + \csc (\frac{π}{4}))}^{2}$
230498	Find g(f(x))	f(x)=2x g(x)=-4x+5	$f (x) = 2 x$ $g (x) = - 4 x + 5$
230499	Find the Roots (Zeros)	f(x)=2x^4+x^3-7x^2-3x+3	$f (x) = 2 x^{4} + x^{3} - 7 x^{2} - 3 x + 3$
230500	Evaluate	1/(-3^-3)	$\frac{1}{- 3^{- 3}}$