Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
181701	Find the x and y Intercepts	f(x)=(x+2)/(15x-27)	$f (x) = \frac{x + 2}{15 x - 27}$
181702	Evaluate	tan(arcsin(( square root of 2)/2))	$\tan (\arcsin (\frac{\sqrt{2}}{2}))$
181703	Solve the System of Equations	2x+4y+3z=6 5x+8y+6z=4 4x+5y+2z=6	$2 x + 4 y + 3 z = 6$ $5 x + 8 y + 6 z = 4$ $4 x + 5 y + 2 z = 6$
181704	Find All Complex Solutions	-cos(x)+cos(2x)=0	$- \cos (x) + \cos (2 x) = 0$
181705	Divide	(-3x)÷x	$- 3 x \div x$
181706	Find the Exact Value	444	$4 \cdot 4 \cdot 4$
181707	Solve for x	x/3+(4x+8)/8=(x-5)/6-(3-2x)/2	$\frac{x}{3} + \frac{4 x + 8}{8} = \frac{x - 5}{6} - \frac{3 - 2 x}{2}$
181708	Find the Roots (Zeros)	9=-2x^2+3x	$9 = - 2 x^{2} + 3 x$
181709	Simplify	-7x^2+1 from -2x^2-4x	$- 7 x^{2} + 1$ from $- 2 x^{2} - 4 x$
181710	Solve for x	natural log of x-2+ natural log of x-6 = natural log of 5x	$\ln (x - 2) + \ln (x - 6) = \ln (5 x)$
181711	Simplify	square root of 25* square root of 50	$\sqrt{25} \cdot \sqrt{50}$
181712	Simplify	square root of 6x^7-x square root of 96x^5	$\sqrt{6 x^{7}} - x \sqrt{96 x^{5}}$
181713	Simplify	x*1+x/1	$x \cdot 1 + \frac{x}{1}$
181714	Solve for x	square root of x+1=7-2 square root of x	$\sqrt{x} + 1 = 7 - 2 \sqrt{x}$
181715	Find the Domain and Range	y=(x+2)^(1/4)	$y = {(x + 2)}^{\frac{1}{4}}$
181716	Rationalize the Denominator	( square root of 38- square root of d)/( square root of 38+ square root of d)	$\frac{\sqrt{38} - \sqrt{d}}{\sqrt{38} + \sqrt{d}}$
181717	Simplify	8x^3y square root of 9x^2y^6	$8 x^{3} y \sqrt{9 x^{2} y^{6}}$
181718	Solve the System of Equations	x^2+y^2=25 y^2=x+5	$x^{2} + y^{2} = 25$ $y^{2} = x + 5$
181719	Solve for y	-6y+4=\|4y+12\|	$- 6 y + 4 = \| 4 y + 12 \|$
181720	Write in Standard Form	4x^2+8x=-2	$4 x^{2} + 8 x = - 2$
181721	Evaluate	2/3+1/4*2/5-3/4+5/2	$\frac{2}{3} + \frac{1}{4} \cdot \frac{2}{5} - \frac{3}{4} + \frac{5}{2}$
181722	Solve for m	P=m+k+n	$P = m + k + n$
181723	Find g(h(x))	g(x)=15-4x h(x)=3/2x+8	$g (x) = 15 - 4 x$ $h (x) = \frac{3}{2} x + 8$
181724	Solve for v	5/9v=35	$\frac{5}{9} v = 35$
181725	Find the x and y Intercepts	f(x)=4x-x^4-7x^3-8x^2+9	$f (x) = 4 x - x^{4} - 7 x^{3} - 8 x^{2} + 9$
181726	Graph	1-e^x	$1 - e^{x}$
181727	Simplify	((x^2+5x-6)/(x^2+9x+18))÷((x^2-1)/(x^2+7x+12))	$\frac{x^{2} + 5 x - 6}{x^{2} + 9 x + 18} \div \frac{x^{2} - 1}{x^{2} + 7 x + 12}$
181728	Simplify	(x+1)/(x-6)*(x^2-16)/(x^3+5x^2+4x)	$\frac{x + 1}{x - 6} \cdot \frac{x^{2} - 16}{x^{3} + 5 x^{2} + 4 x}$
181729	Solve for f	-1/8f-3/4-1/4f=11	$- \frac{1}{8} f - \frac{3}{4} - \frac{1}{4} f = 11$
181730	Divide	((6x+6)/7)÷((4x+4)/(x-2))	$\frac{6 x + 6}{7} \div \frac{4 x + 4}{x - 2}$
181731	Solve for Vբ	a=(V_f-V_i)/t	$a = \frac{V_{f} - V_{i}}{t}$
181732	Graph	((-)/oo,3) union (3,infinity)	$(\frac{-}{o} o, 3) \cup (3, \infty)$
181733	Solve the System of Equations	-x+2y+z=-3 3x+y-z=-2 2x-4y-3z=1	$- x + 2 y + z = - 3$ $3 x + y - z = - 2$ $2 x - 4 y - 3 z = 1$
181734	Solve the Inequality for x	((x-6)(x+6))/x<=0	$\frac{(x - 6) (x + 6)}{x} \leq 0$
181735	Solve for x	1/2(6x+10)=7(3/7x-2)	$\frac{1}{2} (6 x + 10) = 7 (\frac{3}{7} x - 2)$
181736	Solve for x	9(x^2-14)-12=-17	$9 (x^{2} - 14) - 12 = - 17$
181737	Solve for x	3+x=x^2+3x	$3 + x = x^{2} + 3 x$
181738	Find the x and y Intercepts	y=(x-3)/2	$y = \frac{x - 3}{2}$
181739	Convert to Polar	x^2-y^2=1	$x^{2} - y^{2} = 1$
181740	Find the Function	f(x)=X^2-4x+4	$f (x) = X^{2} - 4 x + 4$
181741	Simplify	(4^5*4^-7)÷(4^-2) ?	$4^{5} \times 4^{- 7} \div 4^{- 2}$ ?
181742	Solve for x	6-3(4x-5)=7	$6 - 3 (4 x - 5) = 7$
181743	Simplify	((9-a^2)/(a^2+5a+6))÷((2a-6)/(5a+10))	$\frac{9 - a^{2}}{a^{2} + 5 a + 6} \div \frac{2 a - 6}{5 a + 10}$
181744	Simplify	4x-7+y-7x-(-3y)	$4 x - 7 + y - 7 x - (- 3 y)$
181745	Find the Domain and Range	y=- square root of 2-x	$y = - \sqrt{2 - x}$
181746	Solve for x	(3x-2)/4-(2x-5)/3=(1+x)/6	$\frac{3 x - 2}{4} - \frac{2 x - 5}{3} = \frac{1 + x}{6}$
181747	Simplify the Radical Expression	fifth root of x* fifth root of x* fifth root of x* fifth root of x	$\sqrt[5]{x} \cdot \sqrt[5]{x} \cdot \sqrt[5]{x} \cdot \sqrt[5]{x}$
181748	Simplify	((x^2-25)/(x-5))÷(x-5)	$\frac{x^{2} - 25}{x - 5} \div (x - 5)$
181749	Find the Quadratic Equation Given the Roots	-8 and -10	$- 8$ and $- 10$
181750	Evaluate	4pi(15)^2	$4 π {(15)}^{2}$
181751	Find the Domain and Range	y=-2(3x)^(1/6)	$y = - 2 {(3 x)}^{\frac{1}{6}}$
181752	Find the Domain and Range	f(x) = square root of 1/2x-10+3	$f (x) = \sqrt{\frac{1}{2} x - 10} + 3$
181753	Solve for x	10+x=5(1/5x+2)	$10 + x = 5 (\frac{1}{5} x + 2)$
181754	Factor	(x^2-12x+36)	$(x^{2} - 12 x + 36)$
181755	Write in Standard Form	-5x^2-6x=-1+2x	$- 5 x^{2} - 6 x = - 1 + 2 x$
181756	Subtract	5/4-1/3-1/2	$\frac{5}{4} - \frac{1}{3} - \frac{1}{2}$
181757	Evaluate	10-95+6(-2)	$10 - 9 \times 5 + 6 \times (- 2)$
181758	Solve for h	S=2B+Ph	$S = 2 B + P h$
181759	Solve for x	3-2(9+2x)=x	$3 - 2 (9 + 2 x) = x$
181760	Factor	16m^6-2m^3n^2+(n^4)/16	$16 m^{6} - 2 m^{3} n^{2} + \frac{n^{4}}{16}$
181761	Graph	f(x)=x(x-3)(x-4)	$f (x) = x (x - 3) (x - 4)$
181762	Solve for c	-2\|7-9c\|+7=-15	$- 2 \| 7 - 9 c \| + 7 = - 15$
181763	Solve for x	log of 2+ log of x-2 = log of 48	$\log (2) + \log (x - 2) = \log (48)$
181764	Solve the Inequality for x	x^4>16x^2	$x^{4} > 16 x^{2}$
181765	Find the Roots (Zeros)	(x+4)(x-3)=0	$(x + 4) (x - 3) = 0$
181766	Find the Midpoint	(5,6) and (9,3)	$(5, 6)$ and $(9, 3)$
181767	Evaluate	2((x-5)/2)+5	$2 (\frac{x - 5}{2}) + 5$
181768	Solve the Absolute Value Inequality for a	4\|6-2a\|+8<=24	$4 \| 6 - 2 a \| + 8 \leq 24$
181769	Multiply	(8-n^7)(8+n^7)	$(8 - n^{7}) (8 + n^{7})$
181770	Simplify	( square root of 16)/(3 square root of 2)	$\frac{\sqrt{16}}{3 \sqrt{2}}$
181771	Find the Holes in the Graph	(2x-4)/(x^2-4)	$\frac{2 x - 4}{x^{2} - 4}$
181772	Find the Domain and Range	f(x)=1/2(x+3)^2+1	$f (x) = \frac{1}{2} {(x + 3)}^{2} + 1$
181773	Simplify the Radical Expression	16^(5/4)	$16^{\frac{5}{4}}$
181774	Simplify	m/(m-3)+(5m-48)/(m^2+5m-24)	$\frac{m}{m - 3} + \frac{5 m - 48}{m^{2} + 5 m - 24}$
181775	Evaluate	f(0)=4^0	$f (0) = 4^{0}$
181776	Evaluate	1/4(1)^2	$\frac{1}{4} {(1)}^{2}$
181777	Solve the System of Equations	3x-y+4z=0 x+y-2z=-8 4x-2y+3z=-4	$3 x - y + 4 z = 0$ $x + y - 2 z = - 8$ $4 x - 2 y + 3 z = - 4$
181778	Graph	3x-2<=5x+y	$3 x - 2 \leq 5 x + y$
181779	Graph	y = cube root of 1/3x	$y = \sqrt[3]{\frac{1}{3} x}$
181780	Solve for W	3=LW	$3 = L W$
181781	Evaluate the Function	f(x)=x+2 when x=10	$f (x) = x + 2$ when $x = 10$
181782	Write as a Single Logarithm	natural log of x-( natural log of x+1+ natural log of x-1)	$\ln (x) - (\ln (x + 1) + \ln (x - 1))$
181783	Graph	y>=-1/5x-4 y>=4/5x+1	$y \geq - \frac{1}{5} x - 4$ $y \geq \frac{4}{5} x + 1$
181784	Write in Slope-Intercept Form	(-3,5) , (6,2)	$(- 3, 5)$ , $(6, 2)$
181785	Simplify	(1-1/x)/(x-1)	$\frac{1 - \frac{1}{x}}{x - 1}$
181786	Graph	y<-2x+3 and y<=3x-2	$y < - 2 x + 3$ and $y \leq 3 x - 2$
181787	Solve the System of Inequalities	-3x-6<=3 or -3x-6<-21	$- 3 x - 6 \leq 3$ or $- 3 x - 6 < - 21$
181788	Solve for x	(2x^2)/5+(5x)/4=10	$\frac{2 x^{2}}{5} + \frac{5 x}{4} = 10$
181789	Find the Midpoint	(8,9) and (4,3)	$(8, 9)$ and $(4, 3)$
181790	Graph Using a Table of Values	y=2x^2+3	$y = 2 x^{2} + 3$
181791	Find f(g(x))	f(x)=x^2 , g(x)=x-1	$f (x) = x^{2}$ , $g (x) = x - 1$
181792	Solve for x	(2(x+7))/(x+4)-2=(2x+20)/(2x+8)	$\frac{2 (x + 7)}{x + 4} - 2 = \frac{2 x + 20}{2 x + 8}$
181793	Simplify	(-4x^3)^(2/3)	${(- 4 x^{3})}^{\frac{2}{3}}$
181794	Solve for k	-10k+64k+62=-46	$- 10 k + 64 k + 62 = - 46$
181795	Solve for x	8x+4+4x=12x+1+3	$8 x + 4 + 4 x = 12 x + 1 + 3$
181796	Evaluate	85^2+6-910	$8 \cdot 5^{2} + 6 - 9 \cdot 10$
181797	Find All Complex Solutions	square root of 2sin(theta)^2-sin(theta)=0	$\sqrt{2} \sin^{2} (θ) - \sin (θ) = 0$
181798	Find the Exact Value	log base 8 of 32	$\log_{8} (32)$
181799	Graph	f(x)=1/(1+x^2)	$f (x) = \frac{1}{1 + x^{2}}$
181800	Solve by Substitution	y=-6x-7 7x+y=-3	$y = - 6 x - 7$ $7 x + y = - 3$