*q**5 + 17040*q**4 + 14501030*q**3 - 29053200*q**2 + 14535125*q.
5*q*(q - 1)**2*(q + 1705)**2
Determine q so that 12*q**5 + 1208*q**4 + 41176*q**3 + 495792*q**2 + 692604*q - 287496 = 0.
-33, -2, 1/3
What is u in -u**5/10 + 3*u**4 - 113*u**3/10 - 168*u**2 + 882*u/5 = 0?
-6, 0, 1, 14, 21
What is y in 3*y**3/8 - 72165*y**2/8 - 36087*y - 72177/2 = 0?
-2, 24059
Solve 3*i**4/2 + 6225*i**3 + 12447*i**2/2 = 0.
-4149, -1, 0
Factor w**2 + 120*w + 1751.
(w + 17)*(w + 103)
Let 2*a**2/3 - 328*a + 4870/3 = 0. Calculate a.
5, 487
Let 5*h**3 + 11815*h**2 + 649880*h + 9043440 = 0. What is h?
-2307, -28
Factor -3*t**3/7 - 75*t**2/7 - 51*t - 285/7.
-3*(t + 1)*(t + 5)*(t + 19)/7
Factor 5*t**2 + 10690*t - 558195.
5*(t - 51)*(t + 2189)
Suppose 2*h**3/7 - 9308*h**2/7 + 11643608*h/7 - 1856561232/7 = 0. What is h?
186, 2234
Find b, given that -5*b**5 + 995*b**4 + 8240*b**3 + 8440*b**2 - 32880*b - 49680 = 0.
-6, -2, 2, 207
What is a in -3*a**3 - 5889*a**2 - 11769*a - 5883 = 0?
-1961, -1
Suppose l**2 - 82284*l - 82285 = 0. What is l?
-1, 82285
Let -2*o**3/3 + 580*o**2/3 - 6866*o/3 - 31024 = 0. What is o?
-8, 21, 277
Factor -3*t**2/7 - 2298894*t/7 - 440409468603/7.
-3*(t + 383149)**2/7
Factor 3*o**4 - 9741*o**3 - 9750*o**2 + 19488*o.
3*o*(o - 3248)*(o - 1)*(o + 2)
Determine a so that a**3/7 - 185*a**2/7 - 1157*a/7 + 146421/7 = 0.
-29, 27, 187
Factor 2*u**3 - 406*u**2 + 3102*u + 3510.
2*(u - 195)*(u - 9)*(u + 1)
Factor 2*i**3/3 - 22*i**2/3 - 104*i + 360.
2*(i - 18)*(i - 3)*(i + 10)/3
Determine j, given that -2*j**2/5 - 7632*j/5 - 361728/5 = 0.
-3768, -48
Factor 5*k**2 + 119427*k + 47770.
(k + 23885)*(5*k + 2)
Find l such that -5*l**3 - 3255*l**2 - 87700*l - 299040 = 0.
-623, -24, -4
Solve -4412*k**2/5 - 4382*k/5 + 6 = 0.
-1, 15/2206
Suppose 26*x**5/19 - 682*x**4/19 - 864*x**3/19 + 4144*x**2/19 + 160*x - 5664/19 = 0. What is x?
-2, 1, 2, 354/13
Factor -2*a**3 + 9202*a**2 - 45968*a + 36768.
-2*(a - 4596)*(a - 4)*(a - 1)
Solve -247*g**2/4 + 62*g - 1/4 = 0 for g.
1/247, 1
Factor 2*j**2/9 + 52900*j/9 + 349801250/9.
2*(j + 13225)**2/9
Find g such that g**5 + 1265*g**4/8 - 1233*g**3/4 - 1321*g**2 - 160*g = 0.
-160, -2, -1/8, 0, 4
Suppose 453962*f**4/5 - 49504184*f**3/5 + 148133376*f**2/5 - 29921696*f + 50525536/5 = 0. Calculate f.
62/61, 106
Factor -5*w**2 + 5945*w - 17790.
-5*(w - 1186)*(w - 3)
Factor -r**4/8 + 1105*r**3/8 - 100719*r**2/2 + 5864022*r + 70783416.
-(r - 372)**3*(r + 11)/8
Factor -16*r**4/7 + 76*r**3/7 + 20*r**2/7.
-4*r**2*(r - 5)*(4*r + 1)/7
Factor -4*k**3 + 5356*k**2 + 4*k - 5356.
-4*(k - 1339)*(k - 1)*(k + 1)
Let 18822*g**4/13 + 112928*g**3/13 - 282354*g**2/13 + 150636*g/13 - 32/13 = 0. Calculate g.
-8, 2/9411, 1
Determine i so that 4*i**4/3 + 57296*i**3/3 + 57288*i**2 + 171856*i/3 + 57284/3 = 0.
-14321, -1
Factor 2*y**3/9 - 7514*y**2/9.
2*y**2*(y - 3757)/9
Factor -i**4/5 + 108*i**3 + 3268*i**2/5 + 4368*i/5.
-i*(i - 546)*(i + 2)*(i + 4)/5
Suppose -2*c**4/3 - 3086*c**3 - 27760*c**2/3 - 6168*c = 0. Calculate c.
-4626, -2, -1, 0
Determine x, given that -44*x**4/7 - 64648*x**3/7 - 3407408*x**2 - 77422392*x/7 - 19342404/7 = 0.
-733, -3, -3/11
Factor -158*l**4/7 + 60668*l**3/7 - 7764480*l**2/7 + 331153408*l/7 + 8388608/7.
-2*(l - 128)**3*(79*l + 2)/7
Solve 9*m**5/7 + 1149*m**4/7 - 3921*m**3/7 + 1179*m**2/7 = 0 for m.
-131, 0, 1/3, 3
Determine f so that 5*f**4 + 53375*f**3 + 159960*f**2 - 1280500*f + 1494080 = 0.
-10672, -7, 2
Factor q**2/6 + 51206*q/3 + 34137/2.
(q + 1)*(q + 102411)/6
Determine c, given that 17*c**4 + 2364*c**3 + 75924*c**2 + 744160*c + 705600 = 0.
-98, -20, -18/17
Factor f**2 + 179*f + 7990.
(f + 85)*(f + 94)
Let -3*v**2/5 - 3054*v/5 - 17784 = 0. Calculate v.
-988, -30
Factor -k**2/3 - 85*k/3 + 962.
-(k - 26)*(k + 111)/3
Factor -w**2/4 - 45*w + 184.
-(w - 4)*(w + 184)/4
Factor 100*z**3 - 2676*z**2 + 1952*z + 624.
4*(z - 26)*(z - 1)*(25*z + 6)
Factor 2*a**3 + 152*a**2 - 2374*a - 5340.
2*(a - 15)*(a + 2)*(a + 89)
Find b, given that -2*b**5/13 + 98*b**4/13 - 852*b**3/13 + 568*b**2/13 + 1520*b/13 = 0.
-1, 0, 2, 10, 38
Let -3*a**4/5 - 2292*a**3/5 - 587466*a**2/5 - 51463236*a/5 - 48582831 = 0. Calculate a.
-253, -5
Factor c**2/4 - 73725*c/2 + 5435375625/4.
(c - 73725)**2/4
Let 4*f**5/7 + 184*f**4/7 + 2196*f**3/7 + 288*f**2 = 0. Calculate f.
-24, -21, -1, 0
Factor -a**3/5 - 1012*a**2/5 - 12919*a/5 + 67932/5.
-(a - 4)*(a + 17)*(a + 999)/5
Solve 18*k**3 + 38566*k**2 - 154288*k/9 + 17144/9 = 0 for k.
-2143, 2/9
Solve -2*a**5 - 630*a**4 + 10*a**3 + 3150*a**2 - 8*a - 2520 = 0 for a.
-315, -2, -1, 1, 2
Factor i**2/2 + 409*i/2 - 106855.
(i - 301)*(i + 710)/2
Factor 6*p**3 - 3921*p**2 - 9834*p - 3936.
3*(p - 656)*(p + 2)*(2*p + 1)
Find d, given that 2*d**4/23 - 144*d**3/23 - 6914*d**2/23 - 62280*d/23 + 69336/23 = 0.
-18, 1, 107
What is p in 44*p**4 + 4860*p**3 + 119832*p**2 - 806896*p + 403680 = 0?
-58, 6/11, 5
Find i such that -4*i**5 + 100*i**4 + 4632*i**3 + 3976*i**2 - 22228*i + 13524 = 0.
-23, -3, 1, 49
Factor -3*d**2 + 1680*d - 1677.
-3*(d - 559)*(d - 1)
Suppose -1745*d**5/6 - 5815*d**4 - 92285*d**3/6 - 9800*d**2 + 170*d/3 = 0. What is d?
-17, -2, -1, 0, 2/349
Factor 2*o**3 + 111400*o**2 - 222806*o + 111404.
2*(o - 1)**2*(o + 55702)
Factor 5*c**4 - 160*c**3 + 1275*c**2 - 2520*c.
5*c*(c - 21)*(c - 8)*(c - 3)
Find w such that -w**5 + 58*w**4 - 527*w**3 + 470*w**2 = 0.
0, 1, 10, 47
Factor h**3 + 176*h**2 + 7860*h + 104400.
(h + 30)**2*(h + 116)
Let -3*b**5 - 69*b**4 + 612*b**3 - 540*b**2 = 0. Calculate b.
-30, 0, 1, 6
What is q in -988*q**2 + 31620*q - 128 = 0?
1/247, 32
Solve -3*a**3 + 255*a**2 + 792*a = 0 for a.
-3, 0, 88
Determine r so that -36*r**4 + 2052*r**3 + 2272*r**2 - 10608*r - 3712 = 0.
-8/3, -1/3, 2, 58
Solve 8*c**3/15 - 302*c**2/3 + 19964*c/15 - 22834/5 = 0.
7, 699/4
Find o such that 5*o**2 - 5510*o - 27675 = 0.
-5, 1107
Factor 2*y**2/5 + 564*y/5.
2*y*(y + 282)/5
Determine f, given that f**3/6 + 100*f**2/3 - 2531*f/6 - 7385 = 0.
-211, -10, 21
Solve -6*t**4/7 - 16*t**3/7 + 302*t**2/7 - 360*t/7 = 0 for t.
-9, 0, 4/3, 5
Factor r**4/3 - 43816*r**3.
r**3*(r - 131448)/3
Determine f so that 5*f**4 - 461*f**3 - 395*f**2 + 2153*f - 1302 = 0.
-14/5, 1, 93
Factor -5*t**3 + 400*t**2 - 780*t.
-5*t*(t - 78)*(t - 2)
Factor 2*o**3 - 52602*o**2 + 345897600*o - 345845000.
2*(o - 13150)**2*(o - 1)
Suppose -4*h**5 - 352*h**4 + 1888*h**3 + 2440*h**2 - 15132*h + 11160 = 0. What is h?
-93, -3, 1, 2, 5
Find t such that 4*t**2 - 124192*t - 248400 = 0.
-2, 31050
Factor -2*a**3 + 1564*a**2 - 402162*a + 33872400.
-2*(a - 291)**2*(a - 200)
Factor 5*n**4 + 285*n**3 + 3520*n**2 - 13260*n.
5*n*(n - 3)*(n + 26)*(n + 34)
Suppose u**2/2 + 4046*u + 256896 = 0. Calculate u.
-8028, -64
Determine k so that -3*k**3 - 315*k**2 - 3102*k = 0.
-94, -11, 0
Factor p**3/2 + 172505*p**2 - p/2 - 172505.
(p - 1)*(p + 1)*(p + 345010)/2
Factor 27*l**3/4 + 7443*l**2/4 - 2490*l + 831.
3*(l + 277)*(3*l - 2)**2/4
What is i in -2457*i**5/4 - 6756*i**4 - 33153*i**3/2 - 15336*i**2 - 19581*i/4 + 6 = 0?
-8, -1, 1/819
Determine w, given that -3*w**2/5 - 843*w/5 - 14934/5 = 0.
-262, -19
Let -505*u**4 - 5355*u**3 - 20925*u**2 - 35505*u - 21870 = 0. What is u?
-3, -162/101
Factor 4*x**3 + 920*x**2 - 130464*x + 506880.
4*(x - 96)*(x - 4)*(x + 330)
Factor -2*b**2 + 1213848*b - 184178370888.
-2*(b - 303462)**2
Factor 3*t**2 - 5250*t.
3*t*(t - 1750)
Let -4*r**2 + 122100*r - 122096 = 0. Calculate r.
1, 30524
Factor -3*r**3 - 42*r**2 - 147*r - 108.
-3*(r + 1)*(r + 4)*(r + 9)
Find b such that 4*b**3 - 488*b**2 + 14612*b + 15104 = 0.
-1, 59, 64
Suppose -2*a**3/9 + 518*a**2/3 + 25586*a/9 - 55510/3 = 0. What is a?
-21, 5, 793
Suppose 3*g**5 - 219*g**4 + 4293*g**3 - 10185*g**2 - 14700*g = 0. What is g?
-1, 0, 4, 35
Suppose -f**3/2 - 8747*f**2/2 - 19114375*f/2 + 57421875/2 = 0. What is f?
-4375, 3
Factor h**3/4 + 5073*h**2/2 + 20289*h/4 + 2536.
(h + 1)**2*(h + 10144)/4
Factor -g**3/4 + 247*g**2 - 245021*g/4 + 243049/2.
-(g - 493)**2*(g - 2)/4
Solve -r**5 - 641*r**4 - 103038*r**3 - 101120*r**2 + 204800*r = 0 for r.
-320, -2, 0, 1
Factor -3*t**3 - 30894*t**2 - 1723008*t - 24089184.
-3*(t + 28)**2*(t + 10242)
Factor -3*w**2 + 869691*w.
-3*w*(w - 289897)
Factor -25*i**3 + 1760*i**2 - 5725*i + 2010.
-5*(i - 67)*(i - 3)*(5*i - 2)
Factor 2*n**2/3 - 1464196*n/3 + 267983740802/3.
2*(n - 366049)**2/3
Determine i so that -2*i**4/7