- 236)*(l + 20)/3
Factor -5*h**2 - 138470*h + 415455.
-5*(h - 3)*(h + 27697)
Find m, given that -3*m**3/5 - 879*m**2/5 + 2676*m/5 + 3552/5 = 0.
-296, -1, 4
Suppose 2*r**2/5 + 5028*r + 15800490 = 0. What is r?
-6285
Determine w so that 5*w**4 - 10280*w**3 + 10270*w**2 + 10280*w - 10275 = 0.
-1, 1, 2055
Factor -k**2/7 - 445*k - 198250/7.
-(k + 65)*(k + 3050)/7
Let -1700*p**4/3 - 86660*p**3/3 + 2083*p**2/3 + 730*p - 51 = 0. Calculate p.
-51, -3/17, 1/10
Let y**2/2 - 5481*y/2 + 8217 = 0. Calculate y.
3, 5478
Factor 5*s**2 + 7775*s + 841230.
5*(s + 117)*(s + 1438)
Solve -2*g**2/5 + 782*g/5 + 100572/5 = 0.
-102, 493
Suppose -16*o**4/7 - 2616*o**3/7 - 16377*o**2/7 - 7699*o/7 - 942/7 = 0. Calculate o.
-157, -6, -1/4
Factor -845*k**2 + 201760*k - 12043520.
-5*(13*k - 1552)**2
What is r in -34*r**5/3 + 235*r**4/3 - 142*r**3 + 208*r**2/3 + 92*r/3 - 25 = 0?
-1/2, 1, 75/17
Let l**4/2 + 12*l**3 + 89*l**2 + 240*l + 325/2 = 0. What is l?
-13, -5, -1
Let -2*k**3/7 - 652*k**2/7 + 376*k - 2640/7 = 0. Calculate k.
-330, 2
Factor 3*o**2/4 - 9*o/4 - 27/2.
3*(o - 6)*(o + 3)/4
Suppose -10*a**5/7 + 324*a**4/7 - 2654*a**3/7 - 92*a**2/7 + 9600*a/7 - 1024 = 0. What is a?
-2, 1, 7/5, 16
Find u such that -3*u**3 + 10809*u**2 + 75774*u + 129960 = 0.
-4, -3, 3610
Factor -5*z**3 - 465*z**2 + 17240*z + 36300.
-5*(z - 30)*(z + 2)*(z + 121)
Find r, given that -4*r**2 - 1552*r + 188180 = 0.
-485, 97
Factor -u**3 - 8*u**2 + 12199*u - 12190.
-(u - 106)*(u - 1)*(u + 115)
What is w in w**5 - 23*w**4 + 160*w**3 - 296*w**2 - 80*w + 400 = 0?
-1, 2, 10
Find y such that 2*y**3 - 324*y**2 - 1682*y + 2004 = 0.
-6, 1, 167
Solve g**2/8 + 1387*g/8 + 3455/4 = 0 for g.
-1382, -5
Determine s, given that 132*s**4 - 532*s**3 - 1692*s**2 + 532*s + 1560 = 0.
-65/33, -1, 1, 6
What is a in -10*a**4/3 - 376*a**3/3 - 4586*a**2/3 - 19940*a/3 - 9296 = 0?
-83/5, -14, -4, -3
Factor 24212*x**3 + 72652*x**2 + 48472*x + 32.
4*(x + 1)*(x + 2)*(6053*x + 4)
Solve -2*u**3/11 + 4120*u**2/11 - 4118*u/11 = 0 for u.
0, 1, 2059
Suppose -f**3/4 - 35*f**2/2 - 247*f + 2166 = 0. Calculate f.
-38, 6
Factor 2*p**4/5 - 638*p**3/5 + 1896*p**2/5.
2*p**2*(p - 316)*(p - 3)/5
Solve -2*d**2/7 - 712*d/7 + 11904/7 = 0.
-372, 16
Suppose -2*r**4 - 2934*r**3 - 1053774*r**2 + 16365726*r - 39533832 = 0. Calculate r.
-741, 3, 12
Factor 2*h**2/11 + 6912*h/11 - 6914/11.
2*(h - 1)*(h + 3457)/11
Suppose 4*t**3 + 396*t**2 + 3200*t - 3600 = 0. Calculate t.
-90, -10, 1
Determine h, given that -209*h**2/10 - 24467*h/10 - 819/5 = 0.
-117, -14/209
Factor -l**2/11 - 14140*l/11.
-l*(l + 14140)/11
Let -2*g**3/5 + 596*g**2/5 - 3216*g = 0. Calculate g.
0, 30, 268
Factor -v**3 + 463*v**2/5 + 1136*v/5 + 76.
-(v - 95)*(v + 2)*(5*v + 2)/5
Suppose 2*u**4/19 - 384*u**3/19 - 2366*u**2/19 - 1980*u/19 = 0. What is u?
-5, -1, 0, 198
Factor -3*b**2/4 + 267*b/4 + 4485/2.
-3*(b - 115)*(b + 26)/4
Solve 2*d**4 - 12*d**3 - 646*d**2 - 1248*d - 616 = 0 for d.
-14, -1, 22
Factor -d**4 + 312861*d**3 - 1877139*d**2 + 2815695*d.
-d*(d - 312855)*(d - 3)**2
What is o in 5*o**3 - 685*o**2 - 2230*o + 116760 = 0?
-14, 12, 139
Let -15*b**4 - 1041*b**3 - 7233*b**2 + 8289*b = 0. What is b?
-307/5, -9, 0, 1
Factor -m**3/4 - 5869*m**2/2 - 8614224*m - 17216712.
-(m + 2)*(m + 5868)**2/4
Find m such that -4*m**3 - 80576*m**2 - 405377556*m + 4061837160 = 0.
-10077, 10
Suppose -5*d**4/2 + 145*d**3/4 + 79305*d**2/4 + 78975*d/2 = 0. What is d?
-81, -2, 0, 195/2
Solve -2*y**3/5 - 2988*y**2/5 - 1116018*y/5 = 0 for y.
-747, 0
Let 3*w**2/11 + 3566*w/11 + 216 = 0. What is w?
-1188, -2/3
Factor -4*t**4 - 108752*t**3 - 326232*t**2 - 326224*t - 108740.
-4*(t + 1)**3*(t + 27185)
Factor 67416*f**2 + 92008*f + 94178/3.
2*(318*f + 217)**2/3
Determine h, given that -4*h**4/7 - 16*h**3/7 + 436*h**2/7 - 416*h/7 = 0.
-13, 0, 1, 8
Solve -5*j**5 - 390*j**4 + 7245*j**3 + 25130*j**2 + 1500*j - 33480 = 0.
-93, -2, 1, 18
Solve 2*h**3/5 - 1258*h**2/5 - 5064*h/5 = 0 for h.
-4, 0, 633
Factor 11*g**3/4 + 195*g**2/8 + 149*g/8 - 3.
(g + 1)*(g + 8)*(22*g - 3)/8
Suppose -4*u**5 - 7156*u**4 + 7196*u**3 + 64484*u**2 + 78776*u + 28640 = 0. What is u?
-1790, -1, 4
Suppose 3*p**5 - 153*p**4 + 2781*p**3 - 21531*p**2 + 66528*p - 47628 = 0. What is p?
1, 7, 18
Suppose -2*v**5 + 188*v**4 - 1420*v**3 + 3832*v**2 - 4146*v + 1548 = 0. Calculate v.
1, 3, 86
Factor 4*v**2/7 - 3768*v/7 - 11556.
4*(v - 963)*(v + 21)/7
Solve 70*j**4 + 1018295*j**3 + 3703847985*j**2 + 3967312405*j + 264482645 = 0 for j.
-7273, -1, -1/14
Factor 3*c**3 - 480*c**2 - 4131*c + 16632.
3*(c - 168)*(c - 3)*(c + 11)
Factor 5*u**3 - 20050*u**2 - 40120*u.
5*u*(u - 4012)*(u + 2)
Suppose 64*h**2/19 - 9346*h/19 + 292/19 = 0. Calculate h.
1/32, 146
Factor 20*w**4 - 96*w**3 + 120*w**2 - 32*w - 12.
4*(w - 3)*(w - 1)**2*(5*w + 1)
Factor -352778264172*b**2 - 10287540*b - 75.
-3*(342918*b + 5)**2
Factor -2*o**3 - 532*o**2 - 35378*o.
-2*o*(o + 133)**2
What is w in -2*w**2/5 - 4858*w/5 - 28788 = 0?
-2399, -30
Determine n, given that -18*n**3 + 224*n**2 + 1750*n + 900 = 0.
-5, -5/9, 18
Find q, given that 5*q**2 - 2515*q - 25650 = 0.
-10, 513
Determine l so that -5*l**2/2 + 95*l + 15500 = 0.
-62, 100
Determine h, given that 9*h**5/8 + 21*h**4/2 - 711*h**3/8 + 417*h**2/4 + 45*h = 0.
-15, -1/3, 0, 2, 4
Factor -7*m**3 - 465*m**2 - 5444*m + 3264.
-(m + 16)*(m + 51)*(7*m - 4)
What is p in -4*p**2 - 748*p + 92480 = 0?
-272, 85
Determine g, given that g**4/4 - 1063*g**3/2 + 271572*g**2 + 23415543*g/2 + 45742671/4 = 0.
-39, -1, 1083
Suppose -r**5/5 + 53*r**4 - 12123*r**3/5 + 153819*r**2/5 = 0. Calculate r.
0, 27, 211
Factor v**3/4 - 215*v**2 - 56243*v/4 + 28551/2.
(v - 921)*(v - 1)*(v + 62)/4
Find w such that -5*w**3/2 + 23444*w**2 - 109914849*w/2 - 21986721 = 0.
-2/5, 4689
Factor -12575*o**2/2 + 2265*o/4 + 25/4.
-5*(10*o - 1)*(503*o + 5)/4
Factor -n**3/4 - 4329*n**2 + 17319*n/4 + 17317/2.
-(n - 2)*(n + 1)*(n + 17317)/4
Factor -1909058*k**2/9 - 1000448*k/9 - 131072/9.
-2*(977*k + 256)**2/9
Factor -c**4/3 - 3056*c**3 + 9171*c**2.
-c**2*(c - 3)*(c + 9171)/3
Factor 2*x**3/13 - 3252*x**2/13 + 1325184*x/13 - 2637376/13.
2*(x - 812)**2*(x - 2)/13
Determine c so that c**5 - 3399*c**4 + 20358*c**3 + 22*c**2 - 74631*c - 50895 = 0.
-1, 3, 5, 3393
Factor 5*z**2 + 414430*z + 414425.
5*(z + 1)*(z + 82885)
Factor 6*j**2/11 - 5586276*j/11 + 1300269981174/11.
6*(j - 465523)**2/11
Find k such that -2*k**3/13 - 84*k**2/13 + 50*k/13 + 2100/13 = 0.
-42, -5, 5
Factor -3*d**2 + 1866*d - 196176.
-3*(d - 488)*(d - 134)
Let -4*t**3 + 9024*t**2 - 5089536*t = 0. What is t?
0, 1128
Determine i so that 2*i**4/15 + 62*i**3/5 - 1456*i**2/15 - 376*i - 800/3 = 0.
-100, -2, -1, 10
Factor w**5 + 89*w**4 - 684*w**3 - 976*w**2 + 16576*w - 30720.
(w - 4)**3*(w + 5)*(w + 96)
Factor -3*q**4/8 - 7335*q**3/4 - 14667*q**2/8.
-3*q**2*(q + 1)*(q + 4889)/8
Factor -2*i**2/21 - 2684*i/21 - 2678/7.
-2*(i + 3)*(i + 1339)/21
What is z in -z**2 + 429727*z = 0?
0, 429727
Factor 2*x**2/7 + 2286*x/7 - 25388/7.
2*(x - 11)*(x + 1154)/7
Suppose -4*h**3 - 2560*h**2 + 5196*h + 38520 = 0. What is h?
-642, -3, 5
Let 4*c**4 - 128*c**3 + 956*c**2 + 128*c - 960 = 0. Calculate c.
-1, 1, 12, 20
Suppose -2*t**2/9 + 13426*t/9 + 67180/9 = 0. What is t?
-5, 6718
Determine n so that -2*n**4/5 + 8894*n**3/5 - 2630220*n**2 + 6417017576*n/5 + 72190343632/5 = 0.
-11, 1486
Solve -4*r**5/9 + 88*r**4/9 + 104*r**3 + 752*r**2/9 - 932*r/9 - 280/3 = 0.
-7, -1, 1, 30
Find u such that -5*u**4 - 20100*u**3 - 20075*u**2 + 80400*u + 80380 = 0.
-4019, -2, -1, 2
Determine l, given that -l**2/5 + 58*l/5 + 2208 = 0.
-80, 138
Find n, given that -4*n**5/3 + 44908*n**4/3 - 126604792*n**3/3 + 1044915128*n**2 + 2216494932*n + 1129363236 = 0.
-1, 27, 5601
Factor 2*w**4 + 304*w**3 + 3882*w**2 + 1836*w - 89424.
2*(w - 4)*(w + 9)**2*(w + 138)
Suppose -2*r**2/3 - 1562*r/3 + 252148 = 0. What is r?
-1119, 338
Solve -z**3 + 29*z**2 - 16*z - 336 = 0 for z.
-3, 4, 28
Determine r, given that 1412875*r**2 + 2*r = 0.
-2/1412875, 0
Let -3*m**4/2 - 934*m**3 - 1237*m**2/2 + 2176*m - 622 = 0. Calculate m.
-622, -2, 1/3, 1
Let 4*a**2 - 76*a - 5568 = 0. What is a?
-29, 48
Factor 2*x**3/3 - 244*x**2 - 1472*x/3.
2*x*(x - 368)*(x + 2)/3
Factor 25*m**2/8 - 19515*m/4 + 15233409/8.
(5*m - 3903)**2/8
Determine z so that -4*z**2 - 28*z + 912 = 0.
-19, 12
Let -n**4/3 + 26*n**3/3 + 287*n**2/3 - 632*n + 528 