Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
2501	Graph	y=1/3x+2 y=2/3x+5	$y = \frac{1}{3} x + 2$ $y = \frac{2}{3} x + 5$
2502	Find the x and y Intercepts	y=2x^4+8x^3+4x^2-8x-6	$y = 2 x^{4} + 8 x^{3} + 4 x^{2} - 8 x - 6$
2503	Simplify	( square root of a^9)/( square root of b^5)	$\frac{\sqrt{a^{9}}}{\sqrt{b^{5}}}$
2504	Simplify	5/(2x^3)+4/(3x^2)	$\frac{5}{2 x^{3}} + \frac{4}{3 x^{2}}$
2505	Solve for w	w-5/6=1/3	$w - \frac{5}{6} = \frac{1}{3}$
2506	Simplify	(-4pq^5r^3)/(8p^2q^2r^10)	$\frac{- 4 p q^{5} r^{3}}{8 p^{2} q^{2} r^{10}}$
2507	Simplify the Radical Expression	fourth root of 405x^3y^2	$\sqrt[4]{405 x^{3} y^{2}}$
2508	Write in Exponential Form	square root of x+ square root of 7	$\sqrt{x} + \sqrt{7}$
2509	Solve for d	2(4d+3)=3(4d+6)	$2 (4 d + 3) = 3 (4 d + 6)$
2510	Solve for u	-3(-u-1)=-4+2u	$- 3 (- u - 1) = - 4 + 2 u$
2511	Simplify	(2x^2-9x+2)/(x^2-4)	$\frac{2 x^{2} - 9 x + 2}{x^{2} - 4}$
2512	Write in Slope-Intercept Form	x-y<=6	$x - y \leq 6$
2513	Solve for x	7(10x+3)^(1/3)+8=-13	$7 {(10 x + 3)}^{\frac{1}{3}} + 8 = - 13$
2514	Simplify	15/(26x)+2/13	$\frac{15}{26 x} + \frac{2}{13}$
2515	Solve the System of Equations	x-3y+z=4 3x-6y+9z=5 4x-9y+10z=9	$x - 3 y + z = 4$ $3 x - 6 y + 9 z = 5$ $4 x - 9 y + 10 z = 9$
2516	Evaluate	2a^2b-5/2ab^2+7/12ab^2+5/6a^2b	$2 a^{2} b - \frac{5}{2} a b^{2} + \frac{7}{12} a b^{2} + \frac{5}{6} a^{2} b$
2517	Simplify	(((2x^4y^-3)^-2*(2x^-1y^-2)^4)/(2x^-7y^-3))^3	${(\frac{{(2 x^{4} y^{- 3})}^{- 2} \cdot {(2 x^{- 1} y^{- 2})}^{4}}{2 x^{- 7} y^{- 3}})}^{3}$
2518	Simplify	( cube root of 4x^2)÷( cube root of x)	$\sqrt[3]{4 x^{2}} \div \sqrt[3]{x}$
2519	Combine Like Terms	4y+5y^2-6-5y+27-y^2	$4 y + 5 y^{2} - 6 - 5 y + 27 - y^{2}$
2520	Solve for m	square root of 25-2m = square root of 10+3m	$\sqrt{25 - 2 m} = \sqrt{10 + 3 m}$
2521	Simplify	(5x-10)/6*12/(3x-6)	$\frac{5 x - 10}{6} \cdot \frac{12}{3 x - 6}$
2522	Simplify	(5x^(2/3)y^(7/5))^(1/7)	${(5 x^{\frac{2}{3}} y^{\frac{7}{5}})}^{\frac{1}{7}}$
2523	Solve for y	9y^2-30y+25=0	$9 y^{2} - 30 y + 25 = 0$
2524	Simplify	(x+2)/(x^3)-(x+1)/(x^2)	$\frac{x + 2}{x^{3}} - \frac{x + 1}{x^{2}}$
2525	Simplify	(9-2 square root of 3)/( square root of 3+6)	$\frac{9 - 2 \sqrt{3}}{\sqrt{3} + 6}$
2526	Solve for x	2/3 square root of x=6	$\frac{2}{3} \sqrt{x} = 6$
2527	Simplify	6x(2x-3)-5(2x^2+9x-3)	$6 x (2 x - 3) - 5 (2 x^{2} + 9 x - 3)$
2528	Solve the Inequality for j	1.2(j+3.5)>=4.8	$1.2 (j + 3.5) \geq 4.8$
2529	Simplify	((6c)/7)^-2	${(\frac{6 c}{7})}^{- 2}$
2530	Solve for a	a^2-b^2=0	$a^{2} - b^{2} = 0$
2531	Solve for x	square root of x+4=3 square root of x	$\sqrt{x + 4} = 3 \sqrt{x}$
2532	Simplify	(4x^4-x^3)/(8x-2)	$\frac{4 x^{4} - x^{3}}{8 x - 2}$
2533	Simplify	(3x^4y^3)^4*2(y^2)^3	${(3 x^{4} y^{3})}^{4} \cdot 2 {(y^{2})}^{3}$
2534	Solve for c	-0.2(-43c-0.4)+0.7c=9.5c	$- 0.2 (- 43 c - 0.4) + 0.7 c = 9.5 c$
2535	Convert to Logarithmic Form	1/(e^4)=0.0183	$\frac{1}{e^{4}} = 0.0183$
2536	Simplify	16/(5x)-6/5	$\frac{16}{5 x} - \frac{6}{5}$
2537	Evaluate	5+(2+(3-1)+1)	$5 + (2 + (3 - 1) + 1)$
2538	Solve for n	5z=7n+8nz	$5 z = 7 n + 8 n z$
2539	Graph	y>0.5 square root of x+2-6	$y > 0.5 \sqrt{x + 2} - 6$
2540	Find the Antiderivative	1/(x square root of x)dx	$\frac{1}{x \sqrt{x}} d x$
2541	Solve for b	0.24+1.9b=0.6(4b+7.1)+0.48	$0.24 + 1.9 b = 0.6 (4 b + 7.1) + 0.48$
2542	Find the Derivative - d/dx	cube root of x-1	$\sqrt[3]{x} - 1$
2543	Solve for n	3n+2=2(n-3)	$3 n + 2 = 2 (n - 3)$
2544	Evaluate	(f(-5))/(f(2))	$\frac{f (- 5)}{f (2)}$
2545	Solve for x	9^x>54	$9^{x} > 54$
2546	Solve for t	7t+3x=4t-5y	$7 t + 3 x = 4 t - 5 y$
2547	Solve by Graphing	y=2x+9 y=6-x	$y = 2 x + 9$ $y = 6 - x$
2548	Simplify	4x^(5/4)*2x^(1/2)	$4 x^{\frac{5}{4}} \cdot 2 x^{\frac{1}{2}}$
2549	Simplify	(6+ square root of 3)/( square root of 3-1)	$\frac{6 + \sqrt{3}}{\sqrt{3} - 1}$
2550	Evaluate	5x = square root of 10+15x	$5 x = \sqrt{10 + 15 x}$
2551	Find the Degree, Leading Term, and Leading Coefficient	h(x)=3x^4+2x-5/x+9x^3-7	$h (x) = 3 x^{4} + 2 x - \frac{5}{x} + 9 x^{3} - 7$
2552	Graph	0.5x+y=5	$0.5 x + y = 5$
2553	Simplify	(((4x^2y^3)^0)/(-3x^-1y^2))^3	${(\frac{{(4 x^{2} y^{3})}^{0}}{- 3 x^{- 1} y^{2}})}^{3}$
2554	Find Where Increasing/Decreasing	f(x)=3 cube root of -x-2+6	$f (x) = 3 \sqrt[3]{- x - 2} + 6$
2555	Solve for v	-7v=8-8v	$- 7 v = 8 - 8 v$
2556	Solve for S	S=(2^(x-1)+2^(x-2))*2^(-x+2)	$S = (2^{x - 1} + 2^{x - 2}) \cdot 2^{- x + 2}$
2557	Find the Antiderivative	x square root of 1-x^2	$x \sqrt{1 - x^{2}}$
2558	Rationalize the Denominator	(9 square root of 2)/( square root of 10+ square root of 18)	$\frac{9 \sqrt{2}}{\sqrt{10} + \sqrt{18}}$
2559	Solve for f	4(-3f-9)=4f-4	$4 (- 3 f - 9) = 4 f - 4$
2560	Simplify	2 square root of 50*3 square root of 8	$2 \sqrt{50} \cdot 3 \sqrt{8}$
2561	Simplify	(10x^9)/8*2/(15x^3)	$\frac{10 x^{9}}{8} \cdot \frac{2}{15 x^{3}}$
2562	Solve for p	x^2+px+q=(x-13)(x+1)	$x^{2} + p x + q = (x - 13) (x + 1)$
2563	Solve the Function Operation	15+18 , 36-75+84 , 214-0 , 25	$15 + 18$ , $36 - 75 + 84$ , $214 - 0$ , $25$
2564	Solve for X	X^2-8X+5=0	$X^{2} - 8 X + 5 = 0$
2565	Rationalize the Denominator	square root of 7/9	$\sqrt{\frac{7}{9}}$
2566	Simplify	(2x^2-y)(x^2+y)	$(2 x^{2} - y) (x^{2} + y)$
2567	Evaluate	(-5x^-3y^0)^-1	${(- 5 x^{- 3} y^{0})}^{- 1}$
2568	Determine if Odd, Even, or Neither	f(x)=e^(x^4-x)	$f (x) = e^{x^{4} - x}$
2569	Solve for b	5(-b-2)=-4b-9-1	$5 (- b - 2) = - 4 b - 9 - 1$
2570	Evaluate	(3 log of 2)/( log of 4+ log of 3)	$\frac{3 \log (2)}{\log (4) + \log (3)}$
2571	Solve for x	4^x<=36	$4^{x} \leq 36$
2572	Graph	yy>=-2x-8	$y \cdot y \geq - 2 x - 8$
2573	Simplify the Radical Expression	(125x)^(4/3)	${(125 x)}^{\frac{4}{3}}$
2574	Solve for x	-9x(4x-1)-2x(-18x-6)-60=3	$- 9 x (4 x - 1) - 2 x (- 18 x - 6) - 60 = 3$
2575	Solve for v	0.5(9v-4)+2=6(0.25v+2)	$0.5 (9 v - 4) + 2 = 6 (0.25 v + 2)$
2576	Evaluate the Limit	limit as x approaches -12 of (8x^3-16x^2-64x)/(x^2+2x)	$lim_{x \to - 12} \frac{8 x^{3} - 16 x^{2} - 64 x}{x^{2} + 2 x}$
2577	Solve for x	(4x)/24=56/112	$\frac{4 x}{24} = \frac{56}{112}$
2578	Simplify	((3x+5)/(8x))(2x)	$(\frac{3 x + 5}{8 x}) (2 x)$
2579	Simplify	(3x+5)/(35x)+(x-3)/(21x)	$\frac{3 x + 5}{35 x} + \frac{x - 3}{21 x}$
2580	Simplify the Radical Expression	eighth root of (n^18p^7)/(n^2p^-1)	$\sqrt[8]{\frac{n^{18} p^{7}}{n^{2} p^{- 1}}}$
2581	Solve for x	8x^2(2x-7)-4x(4x^2-5x)=-6x(6x+5)+90	$8 x^{2} (2 x - 7) - 4 x (4 x^{2} - 5 x) = - 6 x (6 x + 5) + 90$
2582	Solve the Inequality for x	square root of x^2-4x+4>0	$\sqrt{x^{2} - 4 x + 4} > 0$
2583	Solve for y	y+17=3(x+6)-14	$y + 17 = 3 (x + 6) - 14$
2584	Graph	f(x)=1/2*2^x-6	$f (x) = \frac{1}{2} \cdot 2^{x} - 6$
2585	Solve the Inequality for x	3-1/2x<=11	$3 - \frac{1}{2} x \leq 11$
2586	Simplify the Radical Expression	8 sixth root of 5-12 sixth root of 5	$8 \sqrt[6]{5} - 12 \sqrt[6]{5}$
2587	Solve for x	4x+(x+3)/6=13	$4 x + \frac{x + 3}{6} = 13$
2588	Solve the Inequality for r	3r+2(4r+2)<=2(6r+1)	$3 r + 2 (4 r + 2) \leq 2 (6 r + 1)$
2589	Write in Slope-Intercept Form	-2/3x+2y=-7	$- \frac{2}{3} x + 2 y = - 7$
2590	Solve for x	4+ square root of 5x-24=x	$4 + \sqrt{5 x - 24} = x$
2591	Graph	f(x)=-1/2cos(x)	$f (x) = - \frac{1}{2} \cos (x)$
2592	Find the Roots (Zeros)	x^5-2x^4-5x^3+9x^2+2	$x^{5} - 2 x^{4} - 5 x^{3} + 9 x^{2} + 2$
2593	Subtract	(t-8)-(t+15)	$(t - 8) - (t + 15)$
2594	Solve for x	3(x-6)^4+11=15	$3 {(x - 6)}^{4} + 11 = 15$
2595	Simplify	(12k^2-54k)/(6k)*6/(81-18k)	$\frac{12 k^{2} - 54 k}{6 k} \cdot \frac{6}{81 - 18 k}$
2596	Solve for x	x^( log of x)=100x	$x^{\log (x)} = 100 x$
2597	Solve the System of Inequalities	22>=4m-2 or 5-3m<=-13	$22 \geq 4 m - 2$ or $5 - 3 m \leq - 13$
2598	Find the Domain and Range	square root of x^2-4x+4	$\sqrt{x^{2} - 4 x + 4}$
2599	Simplify	(-26x)/(39-13x)	$\frac{- 26 x}{39 - 13 x}$
2600	Simplify the Radical Expression	(7- square root of 7)(-6+ square root of 7)	$(7 - \sqrt{7}) (- 6 + \sqrt{7})$