Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
18401	Simplify	3sin(pi/4)-4cos(pi/4)	$3 \sin (\frac{π}{4}) - 4 \cos (\frac{π}{4})$
18402	Simplify	-3sin(x)	$- 3 \sin (x)$
18403	Simplify	4(4x-2)-2	$4 (4 x - 2) - 2$
18404	Simplify	2x^-0.5	$2 x^{- 0.5}$
18405	Simplify	2x^3-5x	$2 x^{3} - 5 x$
18406	Simplify	2x^5+9x^4-4x^3-71x^2-126x-90	$2 x^{5} + 9 x^{4} - 4 x^{3} - 71 x^{2} - 126 x - 90$
18407	Simplify	2+1/4*(x-1)	$2 + \frac{1}{4} \cdot (x - 1)$
18408	Simplify	2xe^x+x^2e^x	$2 x e^{x} + x^{2} e^{x}$
18409	Simplify	-2+1(3.2-3)	$- 2 + 1 (3.2 - 3)$
18410	Simplify	2 square root of x*(2 square root of x)	$2 \sqrt{x} \cdot (2 \sqrt{x})$
18411	Simplify	20480*(l^4)/(4096^2)	$20480 \cdot \frac{l^{4}}{4096^{2}}$
18412	Simplify	2-2cos(2)	$2 - 2 \cos (2)$
18413	Simplify	24sec(pi/6)^2	$24 \sec^{2} (\frac{π}{6})$
18414	Simplify	-28(x-(-7))	$- 28 (x - (- 7))$
18415	Simplify	2sin(x/2)cos(x/2)	$2 \sin (\frac{x}{2}) \cos (\frac{x}{2})$
18416	Simplify	2sec(pi/4)	$2 \sec (\frac{π}{4})$
18417	Simplify	2sec(x)	$2 \sec (x)$
18418	Simplify	-2sin(x)+ square root of 3	$- 2 \sin (x) + \sqrt{3}$
18419	Simplify	2x(x^(2/3))	$2 x (x^{\frac{2}{3}})$
18420	Simplify	2pi-2cos(2pi)	$2 π - 2 \cos (2 π)$
18421	Simplify	2p(40cm)((0.04(cm))/min)	$2 p (40 cm) (\frac{0.04 (cm)}{mi n})$
18422	Simplify	2p(40cm)(0.04cm)	$2 p (40 cm) (0.04 cm)$
18423	Simplify	2cot(pi/2)csc(pi/2)-csc(pi/2)^2	$2 \cot (\frac{π}{2}) \csc (\frac{π}{2}) - \csc^{2} (\frac{π}{2})$
18424	Simplify	2cos(0)	$2 \cos (0)$
18425	Simplify	20(2/(x+1)-3/x)	$20 (\frac{2}{x + 1} - \frac{3}{x})$
18426	Simplify	3(cos(pi/6)+isin(pi/6))	$3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
18427	Simplify	2x-6-sin(x)	$2 x - 6 - \sin (x)$
18428	Simplify	3(1/2x^(-1/2))	$3 (\frac{1}{2} x^{- \frac{1}{2}})$
18429	Simplify	2x-5488/(x^2)	$2 x - \frac{5488}{x^{2}}$
18430	Simplify	500x-1/10x^2-(144000+80x)	$500 x - \frac{1}{10} x^{2} - (144000 + 80 x)$
18431	Simplify	-558sin(186(0.002))sin(186(0.002))+558cos(186(0.002))cos(186(0.002))	$- 558 \sin (186 (0.002)) \sin (186 (0.002)) + 558 \cos (186 (0.002)) \cos (186 (0.002))$
18432	Simplify	5x-10÷(x^2)-4x+4+1÷(x-2)	$5 x - 10 \div x^{2} - 4 x + 4 + 1 \div (x - 2)$
18433	Simplify	3x-2 square root of x	$3 x - 2 \sqrt{x}$
18434	Simplify	4b-9/20b+7+1/10-9/(10b)	$4 b - \frac{9}{20} b + 7 + \frac{1}{10} - \frac{9}{10 b}$
18435	Simplify	5(t+h)+14-(5t+14)	$5 (t + h) + 14 - (5 t + 14)$
18436	Simplify	-5.0e^(-5.00.007)sin(250pi(0.007))+250pi(0.007)+250pie^(-5.00.007)cos(250pi(0.007))	$- 5 e^{- 5 \cdot 0.007} \sin (250 π (0.007)) + 250 π (0.007) + 250 π e^{- 5 \cdot 0.007} \cos (250 π (0.007))$
18437	Simplify	5(2+h)^2	$5 {(2 + h)}^{2}$
18438	Simplify	5a^2-7ab-6b^2	$5 a^{2} - 7 a b - 6 b^{2}$
18439	Simplify	5(x^2+3)^4(2x)(x-2)^4+(x^2+3)^5(4)(x-2)^3	$5 {(x^{2} + 3)}^{4} (2 x) {(x - 2)}^{4} + {(x^{2} + 3)}^{5} (4) {(x - 2)}^{3}$
18440	Simplify	4sec(pi/3)-4sec(0)	$4 \sec (\frac{π}{3}) - 4 \sec (0)$
18441	Simplify	-4sin(2x)	$- 4 \sin (2 x)$
18442	Simplify	458cos(55.1)+60	$45 \cdot 8 \cdot \cos (55.1) + 60$
18443	Simplify	4x^2-e^(2x)	$4 x^{2} - e^{2 x}$
18444	Simplify	40000+10000/3x	$40000 + \frac{10000}{3} x$
18445	Simplify	4(x-3)^2	$4 {(x - 3)}^{2}$
18446	Simplify	4 1/3-1 1/2	$4 \frac{1}{3} - 1 \frac{1}{2}$
18447	Simplify	4-7/6*(x-1)	$4 - \frac{7}{6} \cdot (x - 1)$
18448	Simplify	4e^2+4e^-2	$4 e^{2} + 4 e^{- 2}$
18449	Simplify	-4sin(2x)^2+2cos(2x)^2+cos(x)	$- 4 \sin^{2} (2 x) + 2 \cos^{2} (2 x) + \cos (x)$
18450	Simplify	4t^2+6t+1	$4 t^{2} + 6 t + 1$
18451	Simplify	80-3(3+h)^2	$80 - 3 {(3 + h)}^{2}$
18452	Simplify	80-5(3+h)^2	$80 - 5 {(3 + h)}^{2}$
18453	Simplify	9sin(pi/2)^2+9sin(pi/2)	$9 \sin^{2} (\frac{π}{2}) + 9 \sin (\frac{π}{2})$
18454	Simplify	9!	$9!$
18455	Simplify	7x+3x-x-2x+x-3y^5-3y+3	$7 x + 3 x - x - 2 x + x - 3 y^{5} - 3 y + 3$
18456	Simplify	60x-0.1x^2-(4x+20)	$60 x - 0.1 x^{2} - (4 x + 20)$
18457	Simplify	7+17/9*(x-5)	$7 + \frac{17}{9} \cdot (x - 5)$
18458	Simplify	7cos(pi)	$7 \cos (π)$
18459	Simplify	8(-1)-5	$8 (- 1) - 5$
18460	Simplify	8((tan(pi/6)^3)/3)-8(tan(0)^3)/3	$8 (\frac{\tan^{3} (\frac{π}{6})}{3}) - 8 \frac{\tan^{3} (0)}{3}$
18461	Simplify	8(5+h)^2+7(5+h)+6	$8 {(5 + h)}^{2} + 7 (5 + h) + 6$
18462	Simplify	8(x+h)^3	$8 {(x + h)}^{3}$
18463	Simplify	8cos(x)^2+16cos(x)+8	$8 \cos^{2} (x) + 16 \cos (x) + 8$
18464	Simplify	8sec(2x)^2tan(2x)+2sec(2x)^3+2sec(2x)tan(2x)^2	$8 \sec^{2} (2 x) \tan (2 x) + 2 \sec^{3} (2 x) + 2 \sec (2 x) \tan^{2} (2 x)$
18465	Simplify	5x(x+4)^3	$5 x {(x + 4)}^{3}$
18466	Simplify	-54p^2	$- 54 p^{2}$
18467	Simplify	5x-(0.01x^2+3.4x+50)	$5 x - (0.01 x^{2} + 3.4 x + 50)$
18468	Simplify	6*1/(x^3)	$6 \cdot \frac{1}{x^{3}}$
18469	Simplify	6(a+h)^2-14(a+h)+7	$6 {(a + h)}^{2} - 14 (a + h) + 7$
18470	Simplify	7-3/(2x)	$7 - \frac{3}{2 x}$
18471	Simplify	69120*(l^4)/(13824^2)	$69120 \cdot \frac{l^{4}}{13824^{2}}$
18472	Simplify	6x-4	$6 x - 4$
18473	Solve for x	x=(-(-8)+ square root of (8)^2-419)/(2(1))	$x = \frac{- (- 8) + \sqrt{{(8)}^{2} - 4 \cdot 1 \cdot 9}}{2 (1)}$
18474	Solve for x	x-1=0	$x - 1 = 0$
18475	Solve for x	p+0.002x=30	$p + 0.002 x = 30$
18476	Solve for x	(x(dy))/(dx)=2y	$\frac{x (d y)}{d x} = 2 y$
18477	Solve for x	x+y=58	$x + y = 58$
18478	Solve for x	pisin(pix)=0	$π \sin (π x) = 0$
18479	Solve for x	f(1.2)=sin(x)^2	$f (1.2) = \sin^{2} (x)$
18480	Solve for x	-pisin(pix)=0	$- π \sin (π x) = 0$
18481	Solve for x	-8sin(x)cos(x)=0	$- 8 \sin (x) \cos (x) = 0$
18482	Solve for x	arctan(x)-arctan(1-x)=arctan(4/3)	$\arctan (x) - \arctan (1 - x) = \arctan (\frac{4}{3})$
18483	Solve for x	f(0.01)=(1/(3-2^(1/x)))	$f (0.01) = (\frac{1}{3 - 2^{\frac{1}{x}}})$
18484	Solve for x	x=sec(1/y)	$x = \sec (\frac{1}{y})$
18485	Solve for x	y=4ex^2	$y = 4 e x^{2}$
18486	Solve for x	y=6x-3/(x^2)	$y = 6 x - \frac{3}{x^{2}}$
18487	Solve for y	(y^2-9)^3=(2x^2+3x-1)^2	${(y^{2} - 9)}^{3} = {(2 x^{2} + 3 x - 1)}^{2}$
18488	Solve for x	y+x*tan(y)=x	$y + x \cdot \tan (y) = x$
18489	Find the Derivative - d/dx	sin( square root of x)	$\sin (\sqrt{x})$
18490	Solve for x	y-2=0(x-2)	$y - 2 = 0 (x - 2)$
18491	Solve for x	y=9x-x^2	$y = 9 x - x^{2}$
18492	Solve for y	natural log of y-1- natural log of 2=x+ natural log of x	$\ln (y - 1) - \ln (2) = x + \ln (x)$
18493	Solve for y	(dy)/(dx)=10xy^2	$\frac{d y}{d x} = 10 x y^{2}$
18494	Solve for y	(dy)/(dr)=(r^2)/3	$\frac{d y}{d r} = \frac{r^{2}}{3}$
18495	Solve for y	x^4+y^3=6	$x^{4} + y^{3} = 6$
18496	Solve for Y	X^4+y^4=32Xy	$X^{4} + y^{4} = 32 X y$
18497	Solve for x	-2x^2+7x+2=0	$- 2 x^{2} + 7 x + 2 = 0$
18498	Solve for x	25=9x^2	$25 = 9 x^{2}$
18499	Solve for x	16x+24y=7400	$16 x + 24 y = 7400$
18500	Solve for x	15x^4-75x^2+60=0	$15 x^{4} - 75 x^{2} + 60 = 0$