Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
2601	Solve for y	y=2x-3 , x=-4	$y = 2 x - 3$ , $x = - 4$
2602	Simplify	(-5x^2-x+5)+(4-3x-5x^2+x^3)	$(- 5 x^{2} - x + 5) + (4 - 3 x - 5 x^{2} + x^{3})$
2603	Simplify	((2a^2b)/a)^3	${(\frac{2 a^{2} b}{a})}^{3}$
2604	Solve the System of Equations	2y=x-4 4x+3y=5	$2 y = x - 4$ $4 x + 3 y = 5$
2605	Simplify the Radical Expression	fifth root of (m^10)/(n^5)	$\sqrt[5]{\frac{m^{10}}{n^{5}}}$
2606	Find the Derivative - d/dx	square root of x^3+x^2+x+1	$\sqrt{x^{3} + x^{2} + x + 1}$
2607	Solve for x	log base 3 of 4+ log base 2 of x=2	$\log_{3} (4 + \log_{2} (x)) = 2$
2608	Write in Exponential Form	-( fourth root of 6m^2)^3	$- {(\sqrt[4]{6 m^{2}})}^{3}$
2609	Simplify	-4i square root of -10*5 square root of -10	$- 4 i \sqrt{- 10} \cdot 5 \sqrt{- 10}$
2610	Simplify	1/4+9/10y-3/5y+7/8	$\frac{1}{4} + \frac{9}{10} y - \frac{3}{5} y + \frac{7}{8}$
2611	Simplify	((a^2b^3)^2)/((ab)^-2)	$\frac{{(a^{2} b^{3})}^{2}}{{(a b)}^{- 2}}$
2612	Simplify	-2y square root of 28x^3+3x square root of 63xy^2-3 square root of 112x^3y^2	$- 2 y \sqrt{28 x^{3}} + 3 x \sqrt{63 x y^{2}} - 3 \sqrt{112 x^{3} y^{2}}$
2613	Factor	y=x^3+10x^2+3x-126	$y = x^{3} + 10 x^{2} + 3 x - 126$
2614	Simplify	((3m^2)^2(-4n^5)^2)/(8m^3n^4)	$\frac{{(3 m^{2})}^{2} {(- 4 n^{5})}^{2}}{8 m^{3} n^{4}}$
2615	Solve for x	2x(7x+6)-7x(2x-4)=-160	$2 x (7 x + 6) - 7 x (2 x - 4) = - 160$
2616	Simplify	(x^2-2x)/2*(6x^2)/(x-2)	$\frac{x^{2} - 2 x}{2} \cdot \frac{6 x^{2}}{x - 2}$
2617	Simplify the Radical Expression	(100x^4)^(1/2)	${(100 x^{4})}^{\frac{1}{2}}$
2618	Solve for d	d+3 = square root of 4d+57	$d + 3 = \sqrt{4 d + 57}$
2619	Solve for x	6^(x+3)-6^x=215	$6^{x + 3} - 6^{x} = 215$
2620	Solve for y	y=-4(5)^x for x=2	$y = - 4 {(5)}^{x}$ for $x = 2$
2621	Solve the System of Equations	x+3y=12 5y=x+4	$x + 3 y = 12$ $5 y = x + 4$
2622	Graph	y=-(x+3)(x+1)^2(2x-5)	$y = - (x + 3) {(x + 1)}^{2} (2 x - 5)$
2623	Solve the Inequality for a	2a<=-4+a	$2 a \leq - 4 + a$
2624	Write in Slope-Intercept Form	-2x+y>=-4	$- 2 x + y \geq - 4$
2625	Simplify	(x^-8*x^-6)^(1/6)	${(x^{- 8} \cdot x^{- 6})}^{\frac{1}{6}}$
2626	Evaluate the Limit	limit as x approaches 2 from the left of square root of 4-2x	$lim_{x \to 2^{-}} \sqrt{4 - 2 x}$
2627	Solve for w	-4(3w+10)=9-6w+w	$- 4 (3 w + 10) = 9 - 6 w + w$
2628	Solve the System of Inequalities	f-6<5 and f-4>=2	$f - 6 < 5$ and $f - 4 \geq 2$
2629	Solve the Inequality for p	4p-5<=25	$4 p - 5 \leq 25$
2630	Find the Domain and Range	f(x)=(x+1)/(2x)	$f (x) = \frac{x + 1}{2 x}$
2631	Solve for x	2x^2-x+55=(x+5)^2	$2 x^{2} - x + 55 = {(x + 5)}^{2}$
2632	Multiply	(a+b)(a^3-3ab-b^2)	$(a + b) (a^{3} - 3 a b - b^{2})$
2633	Solve for n	1 3/5n=64	$1 \frac{3}{5} n = 64$
2634	Simplify	cube root of 2/4	$\sqrt[3]{\frac{2}{4}}$
2635	Rationalize the Denominator	square root of 1/16	$\sqrt{\frac{1}{16}}$
2636	Find the Domain and Range	y=6cos(2x+3)-5	$y = 6 \cos (2 x + 3) - 5$
2637	Solve for x	4x(x+1)=(2x-3)(2x+5)	$4 x (x + 1) = (2 x - 3) (2 x + 5)$
2638	Multiply	(3/x-x/3)((3x)/(x^2+6x+9))	$(\frac{3}{x} - \frac{x}{3}) (\frac{3 x}{x^{2} + 6 x + 9})$
2639	Find All Complex Solutions	x^2-5i=0	$x^{2} - 5 i = 0$
2640	Simplify the Radical Expression	cube root of square root of 10	$\sqrt[3]{\sqrt{10}}$
2641	Evaluate the Limit	limit as x approaches infinity of ((3x^2+2x+1)/(x^2-3x+2))^4	$lim_{x \to \infty} {(\frac{3 x^{2} + 2 x + 1}{x^{2} - 3 x + 2})}^{4}$
2642	Solve by Addition/Elimination	4/5x+2/5y=2/15 1/3x-2y=3/2	$\frac{4}{5} x + \frac{2}{5} y = \frac{2}{15}$ $\frac{1}{3} x - 2 y = \frac{3}{2}$
2643	Simplify	((5x^-4y^3)/(2x^2y^0))^2*((4xy)/(y^3))^2	${(\frac{5 x^{- 4} y^{3}}{2 x^{2} y^{0}})}^{2} \cdot {(\frac{4 x y}{y^{3}})}^{2}$
2644	Solve Using the Quadratic Formula	(x+4)(x-5)+3=0	$(x + 4) (x - 5) + 3 = 0$
2645	Solve for x	(3+5x)(2-3x)=12-15x^2	$(3 + 5 x) (2 - 3 x) = 12 - 15 x^{2}$
2646	Simplify	(8x^3)/(x+4)*(x^2+4x)/(12x^2)	$\frac{8 x^{3}}{x + 4} \cdot \frac{x^{2} + 4 x}{12 x^{2}}$
2647	Solve for b	square root of 63-7b-b=-9	$\sqrt{63 - 7 b} - b = - 9$
2648	Solve for x	2+11/(5x)=21/(5x)	$2 + \frac{11}{5 x} = \frac{21}{5 x}$
2649	Find the Derivative Using Quotient Rule - d/dx	y=(4x^2-16)/(x-2)	$y = \frac{4 x^{2} - 16}{x - 2}$
2650	Evaluate	y=25(1.2)^5	$y = 25 {(1.2)}^{5}$
2651	Evaluate the Integral	integral of x^2(5^(x^3)-3^(2x^3)) with respect to x	$\int x^{2} (5^{x^{3}} - 3^{2 x^{3}}) d x$
2652	Simplify	(x^2+11x+28)*(x+4)/(x+7)	$(x^{2} + 11 x + 28) \cdot \frac{x + 4}{x + 7}$
2653	Write as a Single Logarithm	log of square root of x- log of x^2+3/4 log of x^4	$\log (\sqrt{x}) - \log (x^{2}) + \frac{3}{4} \log (x^{4})$
2654	Simplify	fourth root of 16/(x^14)	$\sqrt[4]{\frac{16}{x^{14}}}$
2655	Factor	4y^(4a)+12y^(2a)+10y^(2a)+30	$4 y^{4 a} + 12 y^{2 a} + 10 y^{2 a} + 30$
2656	Solve the Inequality for F	C=5/9(F-32)	$C = \frac{5}{9} (F - 32)$
2657	Solve for B	j=-H+B	$j = - H + B$
2658	Simplify	(p^(1/2)*p^(1/4))- fourth root of 16p^3	$(p^{\frac{1}{2}} \cdot p^{\frac{1}{4}}) - \sqrt[4]{16 p^{3}}$
2659	Graph	square root of cos(x)cos(300x)+ square root of \|x\|-9.3*(-4x^2)^0.01	$\sqrt{\cos (x)} \cdot \cos (300 \cdot x) + \sqrt{\| x \|} - 9.3 \cdot {(- 4 x^{2})}^{0.01}$
2660	Simplify	(8-3v-5v^2)+(8v^4-6-6v^2)	$(8 - 3 v - 5 v^{2}) + (8 v^{4} - 6 - 6 v^{2})$
2661	Solve for x	square root of 10-x^2+6<\|10-x^2\|	$\sqrt{10 - x^{2}} + 6 < \| 10 - x^{2} \|$
2662	Graph	x^2+y^2+x-y+6=0	$x^{2} + y^{2} + x - y + 6 = 0$
2663	Find the x and y Intercepts	y=1/2*2^x-4	$y = \frac{1}{2} \cdot 2^{x} - 4$
2664	Evaluate the Integral	integral of ( square root of x square root of x+3/(x^2)) with respect to x	$\int (\sqrt{x} \sqrt{x} + \frac{3}{x^{2}}) d x$
2665	Evaluate the Limit	limit as x approaches -1 of x^4-3x^3+2x^2-5x-7	$lim_{x \to - 1} x^{4} - 3 x^{3} + 2 x^{2} - 5 x - 7$
2666	Find the Inverse	f(x)=(3x+1)^(1/3)	$f (x) = {(3 x + 1)}^{\frac{1}{3}}$
2667	Simplify the Radical Expression	(6- square root of 2)/(4-3 square root of 2)	$\frac{6 - \sqrt{2}}{4 - 3 \sqrt{2}}$
2668	Evaluate the Integral	integral of -sec(3x)^2 with respect to x	$\int - \sec^{2} (3 x) d x$
2669	Simplify	(-(q^4)/5)^-3	${(- \frac{q^{4}}{5})}^{- 3}$
2670	Find the Domain	4/(y+2)-3/(y-2)+12/(y^2-4)	$\frac{4}{y + 2} - \frac{3}{y - 2} + \frac{12}{y^{2} - 4}$
2671	Graph	y=-6x y=-7x-1	$y = - 6 x$ $y = - 7 x - 1$
2672	Solve for x	7(x-2)-5x=-3x	$7 (x - 2) - 5 x = - 3 x$
2673	Solve for x	fifth root of 7x+3-8=-10	$\sqrt[5]{7 x + 3} - 8 = - 10$
2674	Solve for m	y=7m+6	$y = 7 m + 6$
2675	Solve the System of Equations	3x-2y=-7 4y=9-6x	$3 x - 2 y = - 7$ $4 y = 9 - 6 x$
2676	Solve for x	(x-3)/x=3/5	$\frac{x - 3}{x} = \frac{3}{5}$
2677	Solve for d	10d=-10d-8(-2d-9)	$10 d = - 10 d - 8 (- 2 d - 9)$
2678	Evaluate	(xy^-6)^2	${(x y^{- 6})}^{2}$
2679	Solve for x	5(x-3)-3x=8x-15-6x	$5 (x - 3) - 3 x = 8 x - 15 - 6 x$
2680	Simplify	(12c^24d^10)/(2c^8d^3)-13c^16d^7	$\frac{12 c^{24} d^{10}}{2 c^{8} d^{3}} - 13 c^{16} d^{7}$
2681	Simplify	(i square root of 1 2/3)/(i square root of 2/3)	$\frac{i \sqrt{1 \frac{2}{3}}}{i \sqrt{\frac{2}{3}}}$
2682	Simplify the Radical Expression	cube root of 64^2	$\sqrt[3]{64^{2}}$
2683	Solve for X	3X^2-7X+4=0	$3 X^{2} - 7 X + 4 = 0$
2684	Simplify	(4x)^2(b^3)	${(4 x)}^{2} (b^{3})$
2685	Write Using Positive Exponents	x^4y^-2	$x^{4} y^{- 2}$
2686	Simplify the Radical Expression	fourth root of 1296/25	$\sqrt[4]{\frac{1296}{25}}$
2687	Solve for n	8/11(n-10)=64	$\frac{8}{11} (n - 10) = 64$
2688	Simplify	square root of 3* cube root of 9	$\sqrt{3} \cdot \sqrt[3]{9}$
2689	Simplify	((3m^5r^3)/(4p^8))^4	${(\frac{3 m^{5} r^{3}}{4 p^{8}})}^{4}$
2690	Solve by Addition/Elimination	y=-3x+5 y=-8x+25	$y = - 3 x + 5$ $y = - 8 x + 25$
2691	Solve for x	-7/8x=-21/64	$- \frac{7}{8} x = - \frac{21}{64}$
2692	Simplify the Radical Expression	-3 square root of 2+3 square root of 20-3 square root of 8	$- 3 \sqrt{2} + 3 \sqrt{20} - 3 \sqrt{8}$
2693	Solve for x	3(1-5/2x)+4x=5	$3 (1 - \frac{5}{2} x) + 4 x = 5$
2694	Simplify the Radical Expression	-2 square root of 3+3 square root of 27	$- 2 \sqrt{3} + 3 \sqrt{27}$
2695	Simplify	sixth root of x^9	$\sqrt[6]{x^{9}}$
2696	Evaluate	(1+i square root of 2)/2-(1-i square root of 1/2)	$\frac{(1 + i \sqrt{2})}{2} - (1 - i \sqrt{\frac{1}{2}})$
2697	Solve for y	limit as x approaches 4 of (x^2+7x+y)/(x^2-6x+8)=15/2	$lim_{x \to 4} \frac{x^{2} + 7 x + y}{x^{2} - 6 x + 8} = \frac{15}{2}$
2698	Simplify	(3a^3-15a^2b+12ab^2)/(3a^2b)	$\frac{3 a^{3} - 15 a^{2} b + 12 a b^{2}}{3 a^{2} b}$
2699	Find the Domain	(14/(9x^3))÷((7x)/(2y^2))	$\frac{14}{9 x^{3}} \div \frac{7 x}{2 y^{2}}$
2700	Simplify	square root of 2-4 square root of 2+9 square root of 2	$\sqrt{2} - 4 \sqrt{2} + 9 \sqrt{2}$