Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
220701	Find All Complex Solutions	square root of e=-10	$\sqrt{e} = - 10$
220702	Solve the Inequality for w	\|2w-1\|<11	$\| 2 w - 1 \| < 11$
220703	Graph Using a Table of Values	f(x)=-3(3)^(x+8)-5	$f (x) = - 3 {(3)}^{x + 8} - 5$
220704	Solve for f	2f(5f-2)-10(f^2-3f+6)=-8f(f+4)+4(2f^2-7f)	$2 f (5 f - 2) - 10 (f^{2} - 3 f + 6) = - 8 f (f + 4) + 4 (2 f^{2} - 7 f)$
220705	Solve for x	(4x^2-9x+6)/(x-2)=x+4/(x-2)	$\frac{4 x^{2} - 9 x + 6}{x - 2} = x + \frac{4}{x - 2}$
220706	Find the Exact Value	sin(225)^2	$\sin^{2} (225)$
220707	Solve the System of Equations	y^2=x-3 y=x-3	$y^{2} = x - 3$ $y = x - 3$
220708	Solve for x	x/6=3 1/2	$\frac{x}{6} = 3 \frac{1}{2}$
220709	Simplify	(x+1)(2x-3)(x-5)(x-1)	$(x + 1) (2 x - 3) (x - 5) (x - 1)$
220710	Evaluate	-1/(2/(-( square root of 3)/2))	$- \frac{1}{\frac{2}{- \frac{\sqrt{3}}{2}}}$
220711	Evaluate	11-2(7-(1+4)^2)	$11 - 2 (7 - {(1 + 4)}^{2})$
220712	Solve the Inequality for w	-3w-2<-17	$- 3 w - 2 < - 17$
220713	Simplify	(-6^(1/8)x^(1/4)y^(-1/4))^2	${(- 6^{\frac{1}{8}} x^{\frac{1}{4}} y^{\frac{- 1}{4}})}^{2}$
220714	Evaluate	square root of 2^2+3^2+6^2	$\sqrt{2^{2} + 3^{2} + 6^{2}}$
220715	Simplify	(4x+7)(x-2)(x-1)(x-1)	$(4 x + 7) (x - 2) (x - 1) (x - 1)$
220716	Evaluate	((- square root of 2)/2)^2	${(\frac{- \sqrt{2}}{2})}^{2}$
220717	Solve for h	-6(-7h+16)=-4(-14h+2)-10h	$- 6 (- 7 h + 16) = - 4 (- 14 h + 2) - 10 h$
220718	Simplify	3a-2a*4a+6a	$3 a - 2 a \cdot 4 a + 6 a$
220719	Divide	( cube root of 8)÷( cube root of 6)	$\sqrt[3]{8} \div \sqrt[3]{6}$
220720	Graph	P(r)=2r^5+3r^2+4r-9	$P (r) = 2 r^{5} + 3 r^{2} + 4 r - 9$
220721	Convert to Interval Notation	-1/3(21-9n)>=4(2n-7)-9	$- \frac{1}{3} (21 - 9 n) \geq 4 (2 n - 7) - 9$
220722	Solve the System of Equations	x-y=4 y=x-4	$x - y = 4$ $y = x - 4$
220723	Evaluate	-( square root of 2)/2*(-2/( square root of 2))	$- \frac{\sqrt{2}}{2} \cdot (- \frac{2}{\sqrt{2}})$
220724	Evaluate	3- square root of 49+(2(3+4^2))÷(1/2)	$3 - \sqrt{49 + 2 (3 + 4^{2}) \div \frac{1}{2}}$
220725	Evaluate	i^11i^13i^7*i^9	$i^{11} \cdot i^{13} \cdot i^{7} \cdot i^{9}$
220726	Solve for r	18=140r17/365	$18 = 140 \cdot r \cdot \frac{17}{365}$
220727	Write in Exponential Form	fifth root of 2+ cube root of 4	$\sqrt[5]{2} + \sqrt[3]{4}$
220728	Solve the System of Equations	7x-y=-13 and -3x-y=-3	$7 x - y = - 13$ and $- 3 x - y = - 3$
220729	Determine if Perpendicular	Are the lines defined by the equations y=3x+1 and y=-1/3x-5 perpendicular?	Are the lines defined by the equations $y = 3 x + 1$ and $y = - \frac{1}{3} x - 5$ perpendicular?
220730	Write in Standard Form	y=x(x+3)(x-3)	$y = x (x + 3) (x - 3)$
220731	Simplify	( cube root of 10x^2)/( cube root of 2x^8)	$\frac{\sqrt[3]{10 x^{2}}}{\sqrt[3]{2 x^{8}}}$
220732	Solve Using the Quadratic Formula	10x^2-11x+9=13x-6x^2	$10 x^{2} - 11 x + 9 = 13 x - 6 x^{2}$
220733	Write in Standard Form	(x^2+x+1)(3x^2+5x-8)	$(x^{2} + x + 1) (3 x^{2} + 5 x - 8)$
220734	Simplify	( square root of 3)/4+( square root of 3)/4	$\frac{\sqrt{3}}{4} + \frac{\sqrt{3}}{4}$
220735	Convert to a Decimal	11rev per s	$11$ revolutions per second
220736	Solve for r	2r+49=-8(-r-5)	$2 r + 49 = - 8 (- r - 5)$
220737	Simplify	2a^2b^-3*5ab	$2 a^{2} b^{- 3} \cdot 5 a b$
220738	Solve the Rational Equation for x	(-6x+6)/(x-7)+1/(x-1)=-8/(x^2-8x+7)	$\frac{- 6 x + 6}{x - 7} + \frac{1}{x - 1} = - \frac{8}{x^{2} - 8 x + 7}$
220739	Solve for x	2=4cos(x)^2+1	$2 = 4 \cos^{2} (x) + 1$
220740	Evaluate	5x+8-7x=-4x+1	$5 x + 8 - 7 x = - 4 x + 1$
220741	Graph	z=xy	$z = x y$
220742	Graph	y>x^2-6x+8 x>=y^2-6y+8	$y > x^{2} - 6 x + 8$ $x \geq y^{2} - 6 y + 8$
220743	Graph	9x-4x+4>=36-12	$9 x - 4 x + 4 \geq 36 - 12$
220744	Solve for x	4(2x+3)=16x+3-8x+9	$4 (2 x + 3) = 16 x + 3 - 8 x + 9$
220745	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-1,4) and has a slope of -5 ?	What is the equation of the line that passes through the point $(- 1, 4)$ and has a slope of $- 5$ ?
220746	Simplify the Radical Expression	1/( cube root of x^8)	$\frac{1}{\sqrt[3]{x^{8}}}$
220747	Evaluate	1/8(2^3-4)(4^2+8)	$\frac{1}{8} (2^{3} - 4) (4^{2} + 8)$
220748	Solve for x	5(1+4x)-5=80	$5 (1 + 4 x) - 5 = 80$
220749	Solve for x	(x+7)/(x+5)+2/(x-8)=(3x+2)/(x^2-3x-40)	$\frac{x + 7}{x + 5} + \frac{2}{x - 8} = \frac{3 x + 2}{x^{2} - 3 x - 40}$
220750	Evaluate	2x^3+2x-3=-0.5\|x-4\|	$2 x^{3} + 2 x - 3 = - 0.5 \| x - 4 \|$
220751	Solve the System of Equations	x-2y+2z=9 -x+3y=-4 2x-5y+3z=16	$x - 2 y + 2 z = 9$ $- x + 3 y = - 4$ $2 x - 5 y + 3 z = 16$
220752	Solve for x	square root of x-7 = square root of 2	$\sqrt{x - 7} = \sqrt{2}$
220753	Solve the System of Inequalities	8x>=-24 and 10>2x+6	$8 x \geq - 24$ and $10 > 2 x + 6$
220754	Solve the Inequality for x	3\|x-7\|<=27	$3 \| x - 7 \| \leq 27$
220755	Solve the Inequality for v	4v>=9v-40	$4 v \geq 9 v - 40$
220756	Divide	(5 square root of 63)÷6 square root of 7	$5 \sqrt{63} \div 6 \sqrt{7}$
220757	Determine if Linear	y+8=x/2	$y + 8 = \frac{x}{2}$
220758	Graph	graph the line x=-7	graph the line $x = - 7$
220759	Simplify	(4r^2s^3t^4)^(2/5)	${(4 r^{2} s^{3} t^{4})}^{\frac{2}{5}}$
220760	Simplify	(x+i)^2	${(x + i)}^{2}$
220761	Multiply	(x^2)^0	${(x^{2})}^{0}$
220762	Solve the Inequality for f	7/8f<=-1	$\frac{7}{8} f \leq - 1$
220763	Simplify	(2 square root of 8+3 square root of 5)	$(2 \sqrt{8} + 3 \sqrt{5})$
220764	Simplify	sin(x)tan(x)cot(x)csc(x)	$\sin (x) \tan (x) \cot (x) \csc (x)$
220765	Simplify	cube root of 8^-2	$\sqrt[3]{8^{- 2}}$
220766	Graph	y=1/2(x+2)^3-2	$y = \frac{1}{2} {(x + 2)}^{3} - 2$
220767	Solve for x	3/4+1/(2x)=1/(2x)+1/(3x^2)	$\frac{3}{4} + \frac{1}{2 x} = \frac{1}{2 x} + \frac{1}{3 x^{2}}$
220768	Evaluate	square root of (2- square root of 7)^2	$\sqrt{{(2 - \sqrt{7})}^{2}}$
220769	Evaluate	(pi(4)^2)/2	$\frac{π {(4)}^{2}}{2}$
220770	Simplify	square root of 10/(13r^3)	$\sqrt{\frac{10}{13 r^{3}}}$
220771	Factor	z^6-8z^3+7	$z^{6} - 8 z^{3} + 7$
220772	Solve for a	3a^2=6a-3	$3 a^{2} = 6 a - 3$
220773	Solve the Inequality for x	tan(x)>=0	$\tan (x) \geq 0$
220774	Simplify	2/3y+1/6y+y	$\frac{2}{3} y + \frac{1}{6} y + y$
220775	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (2,-6) and has a slope of -3/2 ?	What is the equation of the line that passes through the point $(2, - 6)$ and has a slope of $- \frac{3}{2}$ ?
220776	Graph	f(x)=1/2*3^x+1	$f (x) = \frac{1}{2} \cdot 3^{x} + 1$
220777	Evaluate	60% of 50	$60 %$ of $50$
220778	Evaluate	(1)^3-3/2(1)^2	${(1)}^{3} - \frac{3}{2} {(1)}^{2}$
220779	Plot	y<x+4	$y < x + 4$
220780	Write in Standard Form	3/4x-2=2/5	$\frac{3}{4} x - 2 = \frac{2}{5}$
220781	Evaluate	(1/2)^2+(1/2)^2	${(\frac{1}{2})}^{2} + {(\frac{1}{2})}^{2}$
220782	Solve for x	-6(9x+5)-3x+4x=-408+x	$- 6 (9 x + 5) - 3 x + 4 x = - 408 + x$
220783	Convert to a Simplified Fraction	(6^-6)/(6^-5)	$\frac{6^{- 6}}{6^{- 5}}$
220784	Evaluate	(x-1)/(x+5)=5/3	$\frac{x - 1}{x + 5} = \frac{5}{3}$
220785	Simplify	square root of 6* square root of 12x^3	$\sqrt{6} \cdot \sqrt{12 x^{3}}$
220786	Solve by Factoring	28n^2=-96-184n	$28 n^{2} = - 96 - 184 n$
220787	Find the Roots (Zeros)	x^3-9x^2+27x=20	$x^{3} - 9 x^{2} + 27 x = 20$
220788	Simplify	(5/2)^x+(5/2)^(x+3)	${(\frac{5}{2})}^{x} + {(\frac{5}{2})}^{x + 3}$
220789	Write the Fraction in Simplest Form	((3m^4t^5)^2)/(2t^7)	$\frac{{(3 m^{4} t^{5})}^{2}}{2 t^{7}}$
220790	Rationalize the Denominator	( square root of 2+ square root of 3)/( square root of 2- square root of 3)	$\frac{\sqrt{2} + \sqrt{3}}{\sqrt{2} - \sqrt{3}}$
220791	Simplify	((3x^2-x-14)/(9x^2-4))÷((x+2)/(3x^2+2x))	$\frac{3 x^{2} - x - 14}{9 x^{2} - 4} \div \frac{x + 2}{3 x^{2} + 2 x}$
220792	Evaluate	-10+2\|6*(-7)\|	$- 10 + 2 \| 6 \cdot (- 7) \|$
220793	Solve the Inequality for x	(x^(2-36))/(x-6)<=0	$\frac{x^{2 - 36}}{x - 6} \leq 0$
220794	Simplify	cube root of -12x^4y* cube root of 4x^2y^2	$\sqrt[3]{- 12 x^{4} y} \cdot \sqrt[3]{4 x^{2} y^{2}}$
220795	Solve for k	9/(k+3)=3/5	$\frac{9}{k + 3} = \frac{3}{5}$
220796	Solve for x	log of 5x+ log of 2x=1	$\log (5 x) + \log (2 x) = 1$
220797	Simplify	(3-2i^3)-(8+i^2)	$(3 - 2 i^{3}) - (8 + i^{2})$
220798	Solve for V	A=6V^(2/3)	$A = 6 V^{\frac{2}{3}}$
220799	Simplify	x(a-x)(b+x)	$x (a - x) (b + x)$
220800	Evaluate	7/(a-2)=2/3	$\frac{7}{a - 2} = \frac{2}{3}$