2 + 5775*t + 17280 = 0.
-1152, -3
Determine z so that 8*z**4/7 + 306*z**3/7 - 126*z**2 + 814*z/7 - 246/7 = 0.
-41, 3/4, 1
Factor -2*s**2/11 - 17136*s/11 + 51426/11.
-2*(s - 3)*(s + 8571)/11
Find f such that f**5 - 78*f**4 + 1454*f**3 + 16616*f**2 - 544887*f + 1012894 = 0.
-17, 2, 31
Determine a so that -9*a**5/2 - 2510*a**4 - 33741*a**3/2 - 35853*a**2 - 20926*a + 6612 = 0.
-551, -3, -2, 2/9
Factor l**4/2 + 21*l**3 + 549*l**2/2 + 1134*l + 1458.
(l + 3)**2*(l + 18)**2/2
Factor -2*z**2 - 267488*z - 8943728768.
-2*(z + 66872)**2
Factor 2*u**2/5 - 745706*u/5 + 745704/5.
2*(u - 372852)*(u - 1)/5
Solve -2*i**2/5 - 5678248*i/5 - 4030312543688/5 = 0.
-1419562
Determine d so that 3*d**4 - 69*d**3 - 660*d**2 + 852*d + 1440 = 0.
-8, -1, 2, 30
Let -3*p**3 + 4737*p**2 - 1748472*p - 97401612 = 0. What is p?
-49, 814
Factor -u**2/2 + 4809*u.
-u*(u - 9618)/2
Factor -4*z**4 + 28*z**3.
-4*z**3*(z - 7)
Factor 4*t**3/7 - 1272*t**2/7 + 14832*t/7 + 15955936/7.
4*(t - 206)**2*(t + 94)/7
Let -t**4/6 - 1231*t**3/6 - 128109*t**2/2 - 3369665*t/6 - 1493284/3 = 0. Calculate t.
-611, -8, -1
Solve 3*n**3/7 + 32316*n**2/7 + 87091584*n/7 + 347849472/7 = 0.
-5384, -4
Let -32*j**4/7 + 56624*j**3/7 - 25147938*j**2/7 + 12499748*j - 10915646 = 0. What is j?
7/4, 883
Suppose -3*z**2 + 88284*z = 0. Calculate z.
0, 29428
Find a such that -a**4/2 + 31*a**3/4 + 443*a**2/4 + 821*a/4 - 525/4 = 0.
-7, -3, 1/2, 25
Factor -4187*u**2/5 + 8377*u/5 - 6/5.
-(u - 2)*(4187*u - 3)/5
Factor 49*i**3 + 138705*i**2 - 317232*i + 181312.
(i + 2833)*(7*i - 8)**2
Let -9354*v**5/17 + 187082*v**4/17 - 69332*v**3 + 1833636*v**2/17 + 3208030*v/17 - 686/17 = 0. Calculate v.
-1, 1/4677, 7
Let -4*l**3 + 3415*l**2 + 7713*l - 7704 = 0. Calculate l.
-3, 3/4, 856
Determine h so that 51*h**4/11 + 36463*h**3/11 - 1889*h**2/11 - 328167*h/11 + 1170 = 0.
-715, -3, 2/51, 3
Solve -g**3/6 + 835*g**2/2 + 15061*g/6 + 4185/2 = 0 for g.
-5, -1, 2511
Find x, given that -2*x**5/3 + 2614*x**4/3 - 61498*x**3 - 376838*x**2/3 - 189728*x/3 = 0.
-1, 0, 77, 1232
Factor 2*w**4/9 + 1934*w**3/9 + 644*w**2/3.
2*w**2*(w + 1)*(w + 966)/9
Solve 361*f**4/4 - 2071*f**3/4 - 441*f**2/2 + 432*f + 216 = 0.
-12/19, 1, 6
Find j, given that -3*j**2 - 9*j + 3990 = 0.
-38, 35
Let -250*m**5/9 - 4700*m**4/9 + 41360*m**3/3 + 25884*m**2 + 15738*m + 3168 = 0. What is m?
-33, -3/5, 16
Factor 2*q**5 + 44*q**4 + 350*q**3 + 1116*q**2 + 648*q - 2160.
2*(q - 1)*(q + 5)*(q + 6)**3
Determine q, given that q**4 + 194*q**3 - 804*q**2 - 2376*q = 0.
-198, -2, 0, 6
Factor 4394*q**5 + 1457118*q**4 + 161067582*q**3 + 5934720906*q**2.
2*q**2*(13*q + 1437)**3
Suppose -31*i**5/6 + 245*i**4/6 + 493*i**3/2 - 5597*i**2/6 + 2966*i/3 - 338 = 0. Calculate i.
-6, 1, 338/31
Suppose -3211035556*g**3 - 3211942212*g**2 - 906720*g - 64 = 0. What is g?
-1, -4/28333
Let -3*j**2 - 104889*j + 419604 = 0. Calculate j.
-34967, 4
Solve 2*f**5/11 - 32844*f**4/11 + 134808024*f**3/11 + 272506288*f**2/11 - 11317581312*f/11 - 48554599680/11 = 0 for f.
-6, 10, 8212
Factor -5*r**3 + 115*r**2 + 4405*r - 4515.
-5*(r - 43)*(r - 1)*(r + 21)
Determine c, given that 2*c**4 - 16*c**3 - 118*c**2 + 276*c - 144 = 0.
-6, 1, 12
Let 2*l**2/11 - 29204*l/11 + 106609202/11 = 0. What is l?
7301
What is t in -3*t**5 - 537*t**4 + 2184*t**3 - 2196*t**2 = 0?
-183, 0, 2
Determine y so that y**4/4 - 35*y**3/4 - 9*y**2 = 0.
-1, 0, 36
Find w such that 5*w**4 - 10060*w**3 + 30150*w**2 - 30140*w + 10045 = 0.
1, 2009
Determine p so that p**3 - 797*p**2 + 16376*p - 62080 = 0.
5, 16, 776
Factor 119*h**3 - 4399*h**2 - 4670*h - 152.
(h - 38)*(h + 1)*(119*h + 4)
Factor 3*c**3 + 7890*c**2 - 3*c - 7890.
3*(c - 1)*(c + 1)*(c + 2630)
Solve o**2 - 1747*o - 7004 = 0 for o.
-4, 1751
Solve -3*o**5/7 - 30*o**4/7 + 228*o**3/7 - 6*o**2/7 - 801*o/7 - 540/7 = 0.
-15, -1, 3, 4
Find j such that 2*j**2/11 - 144454*j/11 + 288900/11 = 0.
2, 72225
Solve -a**5/3 - 5732*a**4/3 - 8213953*a**3/3 + 17194*a**2/3 + 24630404*a/3 - 16427912/3 = 0.
-2866, -2, 1
Suppose -j**5/2 + 49*j**4/2 - 85*j**3/2 - 425*j**2/2 + 43*j + 188 = 0. Calculate j.
-2, -1, 1, 4, 47
Find o such that -o**5 - 239*o**4 - 21366*o**3 - 865674*o**2 - 14568201*o - 53723655 = 0.
-81, -51, -5
Solve -104*w**2/5 - 58*w/5 = 0.
-29/52, 0
Factor 2*v**3/3 - 7394*v**2/3 + 7388*v.
2*v*(v - 3694)*(v - 3)/3
Find o, given that -3*o**2 + 360*o - 6912 = 0.
24, 96
Factor -4*v**2/3 + 1748*v/3 - 17280.
-4*(v - 405)*(v - 32)/3
Find g such that 5*g**2 - 1757670*g + 154470191445 = 0.
175767
Factor s**2/2 + 415*s/2 + 413.
(s + 2)*(s + 413)/2
Suppose -2*f**3 + 7356*f**2 + 7370*f - 44148 = 0. Calculate f.
-3, 2, 3679
Find s such that 3*s**3/2 - 2289*s**2/2 + 12423*s - 11280 = 0.
1, 10, 752
Factor 2*q**5/5 - 2588*q**4/5 + 167960*q**3 - 1669264*q**2/5.
2*q**2*(q - 646)**2*(q - 2)/5
Determine y so that -4*y**2 - 640*y - 22684 = 0.
-107, -53
Suppose 2*b**2/5 - 2124*b/5 - 7776 = 0. Calculate b.
-18, 1080
Factor s**3/4 + 1171*s**2/2 + 8148*s.
s*(s + 14)*(s + 2328)/4
Suppose 24*t**5 + 812*t**4 - 8788*t**3 + 28212*t**2 - 29412*t = 0. Calculate t.
-43, 0, 3, 19/6
Determine l so that 5*l**5 - 1180*l**4 + 54325*l**3 + 1960030*l**2 - 8454660*l + 8653320 = 0.
-26, 2, 129
Let j**4/5 + 89*j**3/5 - 96*j**2/5 - 108*j = 0. Calculate j.
-90, -2, 0, 3
Let m**4 + 6117*m**3 - 12237*m**2 + 6119*m = 0. What is m?
-6119, 0, 1
Factor m**2 + 25459*m + 50914.
(m + 2)*(m + 25457)
Determine i so that 5*i**3 + 18265*i**2 - 20*i - 73060 = 0.
-3653, -2, 2
Factor -1587*q**5 - 44160*q**4 - 303336*q**3 + 53760*q**2 - 2352*q.
-3*q*(q + 14)**2*(23*q - 2)**2
What is d in 5*d**4 - 2405*d**3 + 39350*d**2 + 41760*d = 0?
-1, 0, 18, 464
Determine u so that 2*u**2/21 - 232*u/7 + 5962/3 = 0.
77, 271
Factor -4*h**4 - 40*h**3 + 828*h**2 + 2736*h.
-4*h*(h - 12)*(h + 3)*(h + 19)
Factor 5*v**3/2 - 195*v**2/2 + 920*v.
5*v*(v - 23)*(v - 16)/2
Let 2*t**5/7 - 866*t**4/7 + 636*t**3/7 + 805680*t**2/7 + 12868416*t/7 + 57957120/7 = 0. Calculate t.
-12, 39, 430
Suppose -12*u**5 - 1162*u**4 + 1382*u**3 + 966*u**2 - 1370*u + 196 = 0. What is u?
-98, -1, 1/6, 1
Determine l, given that -2*l**5 + 140*l**4 + 914*l**3 - 140*l**2 - 912*l = 0.
-6, -1, 0, 1, 76
Factor 3*r**2/2 + 60810*r + 616309350.
3*(r + 20270)**2/2
Determine d so that d**5/7 - 10*d**4/7 - 18*d**3/7 + 356*d**2/7 - 89*d + 42 = 0.
-6, 1, 7
Let q**5 + 206*q**4 - 22932*q**3 - 119106*q**2 - 73629*q + 215460 = 0. Calculate q.
-285, -3, 1, 84
Factor 45*u**3 - 2388*u**2 + 25809*u - 1710.
3*(u - 38)*(u - 15)*(15*u - 1)
Suppose -4*c**4 + 5672*c**3 - 227588*c**2 + 2425120*c - 2203200 = 0. What is c?
1, 20, 1377
Factor 5*c**2 - 9995*c + 849950.
5*(c - 1910)*(c - 89)
What is w in -52*w**3/5 - 64*w**2/5 + 60*w + 72/5 = 0?
-3, -3/13, 2
Suppose -2*z**3/7 - 6*z**2/7 + 216*z/7 = 0. Calculate z.
-12, 0, 9
Factor 3*i**3 - 51*i**2 + 156*i.
3*i*(i - 13)*(i - 4)
Solve 18*w**5/11 - 930*w**4/11 - 14148*w**3/11 - 3984*w**2/11 + 9216*w/11 = 0 for w.
-12, -1, 0, 2/3, 64
Let -2*g**2/11 - 302*g/11 - 4788/11 = 0. What is g?
-133, -18
Factor 3*k**2/2 + 435*k/2 + 5661.
3*(k + 34)*(k + 111)/2
Suppose 5*x**3 + 31460*x**2 - 31465*x = 0. What is x?
-6293, 0, 1
Let 531*p**2 - 1123059*p - 12690 = 0. What is p?
-2/177, 2115
Factor -3*z**3/5 - 1302*z**2/5 - 26055*z + 486000.
-3*(z - 16)*(z + 225)**2/5
What is c in -2*c**2/17 - 9528*c/17 + 19064/17 = 0?
-4766, 2
Solve -r**4 - 66*r**3 - 1085*r**2 = 0 for r.
-35, -31, 0
Let 4*j**3 - 35308*j**2 + 78074572*j - 699814116 = 0. What is j?
9, 4409
Let 3*m**3 + 599256*m**2 = 0. What is m?
-199752, 0
Factor 3*r**2/4 + 533361*r/4 + 266679/2.
3*(r + 1)*(r + 177786)/4
Solve -2*g**2/9 + 82072*g/3 - 841976648 = 0.
61554
Let -9*n**3 + 17980*n**2 + 39996*n + 8000 = 0. Calculate n.
-2, -2/9, 2000
Determine s, given that 3*s**2 - 174234*s + 174231 = 0.
1, 58077
Suppose -r**3 - 965*r**2 - 229392*r + 1653372 = 0. What is r?
-486, 7
Let -3*p**4 - 108*p**3 - 234*p**2 + 14628*p - 14283 = 0. What is p?
-23, 1, 9
Determine p, given that -4*p**3 + 7464*p**2 + 7468*p = 0.
-1, 0, 1867
Suppose -2*b**3/7 + 94200*b**2/7 - 1109299194*b/7 + 2218221604/7 = 0. What is b?
2, 23549
Factor 3*u**3 - 182901*u**2 + 2787639864*u + 2787822768.
3*(u - 30484)**2*(u + 1)
Find c, given that 4*c**2 + 724*c - 9264 = 0.
-193, 12
Find z such that -2*z**3 - 1572*z**2 + 651582*z - 55820448 = 0.
-1104, 159
Let 3*r**4 + 2988*r**3 + 245052*r**2 - 248482080*r 