Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
177701	Reduce	5x^4y^3-x^2y^3+8x^2y^3-12x^4y^3	$5 x^{4} y^{3} - x^{2} y^{3} + 8 x^{2} y^{3} - 12 x^{4} y^{3}$
177702	Convert to Interval Notation	{x\|5<=x<=7}	${x \| 5 \leq x \leq 7}$
177703	Simplify	cube root of 27x+ cube root of x	$\sqrt[3]{27 x} + \sqrt[3]{x}$
177704	Evaluate	k(x)=6x+100	$k (x) = 6 x + 100$
177705	Find the Holes in the Graph	f(x)=(x^2-1)/(x+1)	$f (x) = \frac{x^{2} - 1}{x + 1}$
177706	Convert to Interval Notation	x<-2 or x>3	$x < - 2$ or $x > 3$
177707	Solve for x	2/x-(x+1)/5=-4/5	$\frac{2}{x} - \frac{x + 1}{5} = - \frac{4}{5}$
177708	Find All Complex Solutions	x^2-4x=0	$x^{2} - 4 x = 0$
177709	Evaluate Using the Given Value	x/( square root of 1-x^2) , x=sin(theta)	$\frac{x}{\sqrt{1 - x^{2}}}$ , $x = \sin (θ)$
177710	Find g(f(x))	f(x)=3x-4 , g(x)=x+2	$f (x) = 3 x - 4$ , $g (x) = x + 2$
177711	Solve the Inequality for k	3(k-5)+9k>=-3	$3 (k - 5) + 9 k \geq - 3$
177712	Find the Midpoint	(4,3) and (9,10)	$(4, 3)$ and $(9, 10)$
177713	Solve for v	v^3=-1	$v^{3} = - 1$
177714	Simplify the Radical Expression	2 square root of 27	$2 \sqrt{27}$
177715	Subtract	-1/2-2/5	$- \frac{1}{2} - \frac{2}{5}$
177716	Simplify	(3(1/x)+7)/(6(1/x)+2)	$\frac{3 (\frac{1}{x}) + 7}{6 (\frac{1}{x}) + 2}$
177717	Graph	y>=-x+4 y>=2x-2	$y \geq - x + 4$ $y \geq 2 x - 2$
177718	Divide	(2x^3+x^4-6x^2+11x-10)÷(x^2+2-x)	$(2 x^{3} + x^{4} - 6 x^{2} + 11 x - 10) \div (x^{2} + 2 - x)$
177719	Evaluate	square root of -2+1	$\sqrt{- 2 + 1}$
177720	Simplify	(x+ square root of 3)(x- square root of 3)	$(x + \sqrt{3}) (x - \sqrt{3})$
177721	Solve for x	6/(x-1)=4/(x-2)+2/(x+1)	$\frac{6}{x - 1} = \frac{4}{x - 2} + \frac{2}{x + 1}$
177722	Divide	(2x^3-x^2+x)/x	$\frac{2 x^{3} - x^{2} + x}{x}$
177723	Graph	y=-(1/2x)^2+5	$y = - {(\frac{1}{2} x)}^{2} + 5$
177724	Solve for x	x-(x+7)/(x+6)=7/(x+6)	$x - \frac{x + 7}{x + 6} = \frac{7}{x + 6}$
177725	Find the LCM	3 and 4	$3$ and $4$
177726	Solve for x	3^(3x)=3^(2x-4)	$3^{3 x} = 3^{2 x - 4}$
177727	Graph	f(x)=x^4-x	$f (x) = x^{4} - x$
177728	Find the Equation of the Circle	Center (4,3) , r=5	Center $(4, 3)$ , $r = 5$
177729	Solve the Inequality for x	16^(2x-5)>=64^(2x-3)	$16^{2 x - 5} \geq 64^{2 x - 3}$
177730	Solve the Inequality for x	x/(x+2)>0	$\frac{x}{x + 2} > 0$
177731	Solve the Inequality for x	2x^2-4x>=0	$2 x^{2} - 4 x \geq 0$
177732	Solve for p	-8p=20(4/5p+3-3/4p)	$- 8 p = 20 (\frac{4}{5} p + 3 - \frac{3}{4} p)$
177733	Find the Exact Value	sin(45 degrees )+cos(45 degrees )	$\sin (45 °) + \cos (45 °)$
177734	Graph	(3/2,0)	$(\frac{3}{2}, 0)$
177735	Evaluate	102+9+34^2	$10 \cdot 2 + 9 + 3 \cdot 4^{2}$
177736	Evaluate	3(x+1)^2	$3 {(x + 1)}^{2}$
177737	Multiply	1/4*-5	$\frac{1}{4} \cdot - 5$
177738	Solve the Inequality for x	(2x+3)/(3x-7)>0	$\frac{2 x + 3}{3 x - 7} > 0$
177739	Evaluate the Function	f(x)=-x^3+6x-7 at x=2	$f (x) = - x^{3} + 6 x - 7$ at $x = 2$
177740	Solve for s	3/s+1/t=2	$\frac{3}{s} + \frac{1}{t} = 2$
177741	Graph	f(x)=5x^3+x-8	$f (x) = 5 x^{3} + x - 8$
177742	Graph	x+y<=6 x+2y<=8	$x + y \leq 6$ $x + 2 y \leq 8$
177743	Solve for a	v^2=v*0^2+2ax	$v^{2} = v \cdot 0^{2} + 2 a x$
177744	Write in Standard Form	-8-3x+2x^2=3	$- 8 - 3 x + 2 x^{2} = 3$
177745	Find the Holes in the Graph	f(x)=(x^2+10x+24)/(x^2-10x+9)	$f (x) = \frac{x^{2} + 10 x + 24}{x^{2} - 10 x + 9}$
177746	Simplify	( square root of 9-x^2)÷( square root of 3+x)	$\sqrt{9 - x^{2}} \div \sqrt{3 + x}$
177747	Graph	y+3=\|x-5\|	$y + 3 = \| x - 5 \|$
177748	Solve the Inequality for n	\|9-4n\|<5	$\| 9 - 4 n \| < 5$
177749	Graph Using a Table of Values	f(x)=x^3-1	$f (x) = x^{3} - 1$
177750	Solve for h	6.51-9.32+h=1.02	$6.51 - 9.32 + h = 1.02$
177751	Simplify	1/4(3q+12)	$\frac{1}{4} (3 q + 12)$
177752	Subtract	1/2-1/1	$\frac{1}{2} - \frac{1}{1}$
177753	Solve for a	1/3+5/a=2/3	$\frac{1}{3} + \frac{5}{a} = \frac{2}{3}$
177754	Multiply	4/82/66	$\frac{4}{8} \cdot \frac{2}{6} \cdot 6$
177755	Find the Function	f(x)=x^2+9	$f (x) = x^{2} + 9$
177756	Solve for x	5(x-1)-(1-x)=2(x-1)-4(1-x)	$5 (x - 1) - (1 - x) = 2 (x - 1) - 4 (1 - x)$
177757	Solve for x	(x+3)/(x+2)=3+1/x	$\frac{x + 3}{x + 2} = 3 + \frac{1}{x}$
177758	Find the x and y Intercepts	2x^2+y=8x-6	$2 x^{2} + y = 8 x - 6$
177759	Divide	(-1/3a^2b^5-1/2a^5b^4+2/5a^3b-5a^2b^7)÷(-5a^2b^2)	$(- \frac{1}{3} a^{2} b^{5} - \frac{1}{2} a^{5} b^{4} + \frac{2}{5} a^{3} b - 5 a^{2} b^{7}) \div (- 5 a^{2} b^{2})$
177760	Evaluate	(5!)/((5-1)!1!)	$\frac{5!}{(5 - 1)! 1!}$
177761	Solve the System of Inequalities	-3<-2x+1<=9	$- 3 < - 2 x + 1 \leq 9$
177762	Solve the Absolute Value Inequality for x	\|2-4x\|<=1	$\| 2 - 4 x \| \leq 1$
177763	Solve for x	x/a+x/b=(a+b)/a	$\frac{x}{a} + \frac{x}{b} = \frac{a + b}{a}$
177764	Write in Standard Form	(5-8i)-2i(2-3i)	$(5 - 8 i) - 2 i (2 - 3 i)$
177765	Simplify	(3x^2*2x^2)^2	${(3 x^{2} \cdot 2 x^{2})}^{2}$
177766	Solve for w	square root of w=7	$\sqrt{w} = 7$
177767	Solve for n	n-70=200-(15*4)	$n - 70 = 200 - (15 \cdot 4)$
177768	Solve for x	log base 2 of x = log base 2 of 3x+5+4	$\log_{2} (x) = \log_{2} (3 x + 5) + 4$
177769	Simplify	1/x-2/(x+1)-x/((x+1)^2)	$\frac{1}{x} - \frac{2}{x + 1} - \frac{x}{{(x + 1)}^{2}}$
177770	Find the Sum and Product of the Roots of the Quadratic Equation	x^2+x-12=0	$x^{2} + x - 12 = 0$
177771	Simplify	(x^4+5y^3+6)-(3x^4-2+5xy)-(-y^3+4+6xy)	$(x^{4} + 5 y^{3} + 6) - (3 x^{4} - 2 + 5 x y) - (- y^{3} + 4 + 6 x y)$
177772	Multiply	2/3*3/4	$\frac{2}{3} \cdot \frac{3}{4}$
177773	Simplify	(5/4-( square root of 2)/2i)^2	${(\frac{5}{4} - \frac{\sqrt{2}}{2} i)}^{2}$
177774	Expand the Logarithmic Expression	log of (z^3x^2)/( cube root of y^4)	$\log (\frac{z^{3} x^{2}}{\sqrt[3]{y^{4}}})$
177775	Simplify	-5x^2 square root of 6x^3+x square root of 96x^5	$- 5 x^{2} \sqrt{6 x^{3}} + x \sqrt{96 x^{5}}$
177776	Solve for x	4(x+2)*2=36	$4 (x + 2) \cdot 2 = 36$
177777	Rationalize the Denominator	9/( square root of 7+2)	$\frac{9}{\sqrt{7} + 2}$
177778	Multiply	2*(-3/4)	$2 \cdot (- \frac{3}{4})$
177779	Find the Holes in the Graph	f(x)=(x+1)/(x^2-16)	$f (x) = \frac{x + 1}{x^{2} - 16}$
177780	Find the Axis of Symmetry	f(x)=x^3-3x^2-x+3	$f (x) = x^{3} - 3 x^{2} - x + 3$
177781	Multiply	x/(x-2)*3/(x-2)	$\frac{x}{x - 2} \cdot \frac{3}{x - 2}$
177782	Solve the Inequality for x	0<\|x-3\|<=3	$0 < \| x - 3 \| \leq 3$
177783	Find the Product	(2x-y)(4x^2+2xy+y^2)	$(2 x - y) (4 x^{2} + 2 x y + y^{2})$
177784	Solve Using the Quadratic Formula	3s(s-2)=12s	$3 s (s - 2) = 12 s$
177785	Solve the Inequality for x	(4x+6)/7<2	$\frac{4 x + 6}{7} < 2$
177786	Solve for r	(12,10) , (-2,r) , m=-4	$(12, 10)$ , $(- 2, r)$ , $m = - 4$
177787	Solve for x	4x=3(x+4)	$4 x = 3 (x + 4)$
177788	Solve for r	1.9r+0.1r=0.6	$1.9 r + 0.1 r = 0.6$
177789	Solve for a	9(-a-6)-37=36a-1	$9 (- a - 6) - 37 = 36 a - 1$
177790	Solve for n	2\|4-n\|=-3n	$2 \| 4 - n \| = - 3 n$
177791	Divide	-6÷8	$- 6 \div 8$
177792	Simplify	(4x-5)/(x^2+x-12)+9/(18-3x-x^2)+2/(x^2+10x+24)	$\frac{4 x - 5}{x^{2} + x - 12} + \frac{9}{18 - 3 x - x^{2}} + \frac{2}{x^{2} + 10 x + 24}$
177793	Graph	y>1/3x+2 y<-3x-8	$y > \frac{1}{3} x + 2$ $y < - 3 x - 8$
177794	Solve the Inequality for x	5-x<=x<5	$5 - x \leq x < 5$
177795	Find All Complex Solutions	x^2=24	$x^{2} = 24$
177796	Solve for x	2(x+2)=4x+1-2x	$2 (x + 2) = 4 x + 1 - 2 x$
177797	Factor	5z(z+3)^3+3(z+3)^3	$5 z {(z + 3)}^{3} + 3 {(z + 3)}^{3}$
177798	Find All Complex Solutions	square root of x+9+3=x	$\sqrt{x + 9} + 3 = x$
177799	Solve for x	square root of (2x-5)^3-10=17	$\sqrt{{(2 x - 5)}^{3}} - 10 = 17$
177800	Find the x and y Intercepts	y=1/2(x+4)(x-2)	$y = \frac{1}{2} (x + 4) (x - 2)$