, 11
Factor f**3/3 + 1610*f**2/3 + 216544*f + 430944.
(f + 2)*(f + 804)**2/3
Factor 2*z**4 + 36*z**3 - 6056*z**2 - 37200*z.
2*z*(z - 50)*(z + 6)*(z + 62)
Determine v, given that 5*v**3 - 22450*v**2 + 156815*v + 403470 = 0.
-2, 9, 4483
Suppose -c**3/5 - 87408*c**2/5 - 1910039616*c/5 = 0. Calculate c.
-43704, 0
Let 5*m**2 + 2735*m + 16230 = 0. What is m?
-541, -6
What is v in 2*v**4/7 + 14442*v**3/7 + 201860*v**2/7 + 65856*v - 1844992/7 = 0?
-7207, -8, 2
Factor 5*l**2 - 6540*l - 13100.
5*(l - 1310)*(l + 2)
Factor -3*y**2 + 361254*y - 10875371043.
-3*(y - 60209)**2
Solve 150*c**5 + 235*c**4 - 525*c**3 - 950*c**2 - 300*c + 40 = 0 for c.
-2, -1, -2/3, 1/10, 2
Factor -t**2/8 + 4165*t/4 - 17347225/8.
-(t - 4165)**2/8
Determine y so that -2*y**3 - 55068*y**2 + 385562*y - 330492 = 0.
-27541, 1, 6
Factor -4*s**2 - 4444*s + 95088.
-4*(s - 21)*(s + 1132)
Factor 2*c**3/7 - 8440*c**2/7 - 84550*c/7 - 211500/7.
2*(c - 4230)*(c + 5)**2/7
Determine j, given that 4*j**3 - 1100*j**2 + 5376*j + 6480 = 0.
-1, 6, 270
Factor u**2 - 107*u/4 + 103/4.
(u - 1)*(4*u - 103)/4
Determine d, given that 4*d**2 + 653*d/8 + 1435/4 = 0.
-14, -205/32
Factor 4*q**2 - 14736*q + 423980.
4*(q - 3655)*(q - 29)
Suppose -l**2/2 - 2335*l/2 + 1168 = 0. Calculate l.
-2336, 1
Let s**2/2 + 180*s - 23769/2 = 0. What is s?
-417, 57
Factor 2*i**2/21 - 3762*i/7 - 11288/21.
2*(i - 5644)*(i + 1)/21
Factor 4*a**3 + 160*a**2 - 4484*a.
4*a*(a - 19)*(a + 59)
Factor l**3/7 - 3489*l**2 + 48843*l/7 - 24421/7.
(l - 24421)*(l - 1)**2/7
Factor 6*b**5 - 65579*b**4 + 179186420*b**3 + 29866225*b**2.
b**2*(b - 5465)**2*(6*b + 1)
Find i, given that -2*i**3/15 + 15844*i**2/5 + 6338*i + 47536/15 = 0.
-1, 23768
Let -5*v**2 + 1385*v - 5460 = 0. Calculate v.
4, 273
Factor -4*d**2 + 1084*d - 60672.
-4*(d - 192)*(d - 79)
Factor -2*x**2/21 + 2323240*x/21 - 674680512200/21.
-2*(x - 580810)**2/21
Determine y, given that y**5 + 49*y**4 + 663*y**3 + 1403*y**2 - 2116*y = 0.
-23, -4, 0, 1
Solve -5*w**3 + 31110*w**2 - 48422700*w + 96721000 = 0.
2, 3110
Solve -36*h**5/11 - 10*h**4/11 + 94*h**3/11 - 56*h**2/11 + 8*h/11 = 0.
-2, 0, 2/9, 1/2, 1
Factor 151*p**2 + 85*p - 66.
(p + 1)*(151*p - 66)
Factor 5*r**3/3 - 1270*r**2/3 + 8695*r/3 - 12350/3.
5*(r - 247)*(r - 5)*(r - 2)/3
Solve -l**2 - 446*l - 23485 = 0.
-385, -61
Determine c, given that 2*c**3/9 + 5552*c**2/9 + 82630*c/9 - 552200/9 = 0.
-2761, -20, 5
Factor -2*w**3/3 + 500*w**2/3 + 3026*w.
-2*w*(w - 267)*(w + 17)/3
Let 2*o**3/11 + 122*o**2/11 - 576*o + 62856/11 = 0. What is o?
-97, 18
Let -5*i**5 + 11560*i**4 + 150885*i**3 + 557660*i**2 + 790340*i + 372000 = 0. Calculate i.
-8, -2, -1, 2325
Factor 190*h**3 - 2654*h**2 + 9226*h + 294.
2*(h - 7)**2*(95*h + 3)
Solve 2*o**2/3 + 2878*o/3 + 20048/3 = 0 for o.
-1432, -7
Factor 2*o**3 - 165414*o**2 + 992430*o - 1488618.
2*(o - 82701)*(o - 3)**2
Factor p**4 + 159*p**3 - 648*p**2 + 652*p.
p*(p - 2)**2*(p + 163)
Let -3*l**2 + 64242*l - 343919547 = 0. Calculate l.
10707
Find p such that -p**2/4 - 1771*p/4 = 0.
-1771, 0
Determine i so that 3*i**5 + 185*i**4 + 2675*i**3 + 11635*i**2 + 6622*i = 0.
-43, -11, -7, -2/3, 0
What is u in 3*u**5 - 3588*u**4 + 122634*u**3 - 842664*u**2 - 4305837*u + 5029452 = 0?
-4, 1, 19, 1161
Factor 21*c**3 - 39*c**2 - 14772*c - 16800.
3*(c - 28)*(c + 25)*(7*c + 8)
Determine a so that -2917*a**3 + 17504*a**2 - 12*a = 0.
0, 2/2917, 6
Suppose -2*f**5/3 + 26*f**4 - 752*f**3/3 + 632*f**2 + 2464*f/3 - 3328 = 0. Calculate f.
-2, 3, 4, 8, 26
Determine k, given that 2*k**4/11 - 408*k**3/11 + 5820*k**2/11 - 2600*k + 47250/11 = 0.
5, 189
Let 3*j**3/5 - 57*j**2/5 - 1539*j/5 + 5049/5 = 0. What is j?
-17, 3, 33
Determine s so that -s**2/3 - 838*s/3 - 13624 = 0.
-786, -52
Find a such that -a**2 - 6222*a + 99808 = 0.
-6238, 16
Determine h so that 2*h**3/3 - 82*h**2/3 - 1912*h/3 - 1160 = 0.
-15, -2, 58
Factor 5*p**4 - 2800*p**3 + 400770*p**2 - 22177160*p + 427859185.
5*(p - 377)*(p - 61)**3
Suppose c**3/2 - 5189*c**2/3 - 23109*c/2 + 12131/3 = 0. What is c?
-7, 1/3, 3466
Solve 2*f**3/11 + 780*f**2/11 = 0 for f.
-390, 0
Factor -4*p**3 - 400*p**2 - 10752*p - 36864.
-4*(p + 4)*(p + 48)**2
Factor 36*l**3 + 1112*l**2 + 960*l.
4*l*(l + 30)*(9*l + 8)
Let n**2/2 - 474*n + 19467/2 = 0. What is n?
21, 927
Determine c so that 16*c**4/9 + 47760*c**3 + 2886697972*c**2/9 - 320780040*c + 721781956/9 = 0.
-13433, 1/2
Find f, given that 100*f**5 + 14120*f**4 + 16836*f**3 + 5040*f**2 = 0.
-140, -3/5, 0
Factor -4*t**2/7 + 91803*t/7 + 22951/7.
-(t - 22951)*(4*t + 1)/7
Let u**4/5 + 237*u**3/5 + 454*u**2 = 0. Calculate u.
-227, -10, 0
Factor 2*x**4/13 + 122132*x**3/13 + 2486078280*x**2/13 + 1297669110300*x + 16867212477750/13.
2*(x + 1)*(x + 20355)**3/13
Determine a, given that 2*a**3 - 286*a**2 - 2708*a - 4256 = 0.
-7, -2, 152
Solve -4*k**3 - 2252*k**2 + 15960*k = 0.
-570, 0, 7
Solve 2*q**3/9 + 7376*q**2/9 - 1640*q = 0 for q.
-3690, 0, 2
What is u in 2*u**5/11 - 20530*u**4/11 + 52654310*u**3/11 + 158086130*u**2/11 + 14375200*u + 52715912/11 = 0?
-1, 5134
Factor -3*u**4 + 43845*u**3 - 160089000*u**2 - 801541500*u.
-3*u*(u - 7310)**2*(u + 5)
Find z such that 35*z**5 - 605*z**4 - 1195*z**3 + 985*z**2 + 1160*z - 380 = 0.
-2, -1, 2/7, 1, 19
Find b such that 49215*b**2 + 16465*b + 20 = 0.
-1/3, -4/3281
Determine w so that 2*w**3/19 - 77902*w**2/19 - 77908*w/19 + 155808/19 = 0.
-2, 1, 38952
Factor -2*f**4/3 + 1088*f**3/3 - 159452*f**2/3 + 1041216*f - 5495094.
-2*(f - 261)**2*(f - 11)**2/3
Find w such that -68921*w**4/4 + 134480*w**3 - 345384*w**2 + 367744*w - 140608 = 0.
52/41, 4
Let -5*r**2 - 27010*r - 36477005 = 0. Calculate r.
-2701
Let -4*r**5/5 + 514*r**4/5 + 692*r**3 + 6734*r**2/5 + 2184*r/5 - 648 = 0. Calculate r.
-3, -2, 1/2, 135
Determine u, given that -3*u**3 - 375*u**2 + 2523*u + 21615 = 0.
-131, -5, 11
Factor 3*t**3 + 108*t**2 - 27495*t - 27600.
3*(t - 80)*(t + 1)*(t + 115)
Suppose 2*i**3/15 + 422*i**2/15 - 6*i/5 - 1266/5 = 0. Calculate i.
-211, -3, 3
Factor p**3 - 2155*p**2 + 55523*p - 359801.
(p - 2129)*(p - 13)**2
Factor 42970*z**2 + 902355*z - 315.
5*(z + 21)*(8594*z - 3)
Suppose 3*l**4/4 - 459*l**2/2 - 840*l + 4275/4 = 0. Calculate l.
-15, -5, 1, 19
Factor 2*u**2/9 + 2750*u/9 - 13900/3.
2*(u - 15)*(u + 1390)/9
Suppose -2*x**3/3 - 14*x**2 + 6692*x/3 + 6800 = 0. Calculate x.
-68, -3, 50
Factor -3*j**4/8 + 10503*j**3/8 + 21015*j**2/8 + 10509*j/8.
-3*j*(j - 3503)*(j + 1)**2/8
Solve 6*j**3 + 454*j**2 - 5720*j = 0.
-260/3, 0, 11
Suppose 3*z**2 + 186*z + 360 = 0. Calculate z.
-60, -2
Find y, given that y**5 + 19*y**4/5 - 16*y**3/5 - 104*y**2/5 - 16*y/5 + 112/5 = 0.
-14/5, -2, 1, 2
Factor p**2/3 + 10286*p - 30859/3.
(p - 1)*(p + 30859)/3
Factor 150*p**4 - 113995*p**3 + 21656200*p**2 + 722000*p.
5*p*(p - 380)**2*(30*p + 1)
Determine v so that 2*v**5 + 4*v**4 - 162*v**3 - 4*v**2 + 160*v = 0.
-10, -1, 0, 1, 8
Factor -3*x**3 + 3669*x**2 - 331488*x + 7789824.
-3*(x - 1127)*(x - 48)**2
Suppose 2*z**2/9 + 8*z/9 - 4264/3 = 0. Calculate z.
-82, 78
Determine l, given that 2*l**4/13 - 356*l**3/13 + 5760*l**2/13 + 1728*l/13 - 276480/13 = 0.
-6, 12, 160
Factor 3*t**4/4 + 18*t**3 - 6993*t**2/4 - 102675*t/2.
3*t*(t - 50)*(t + 37)**2/4
What is n in -4*n**2 - 2850664*n - 507892827556 = 0?
-356333
Factor 2*k**2 - 65970*k/11 - 23992/11.
2*(k - 2999)*(11*k + 4)/11
Factor -h**3 + 263*h**2 - 12136*h - 722832.
-(h - 148)**2*(h + 33)
Let -9*d**4/4 - 42*d**3 - 286*d**2 - 840*d - 900 = 0. Calculate d.
-6, -10/3
What is y in 4*y**3 - 173648*y**2/5 - 277904*y/5 + 138944/5 = 0?
-2, 2/5, 8684
Determine j, given that 3*j**2/4 - 21309*j/2 - 42621/4 = 0.
-1, 14207
Determine s so that 4*s**2 - 82628*s - 247920 = 0.
-3, 20660
Determine w, given that -2*w**3 + 9717*w**2 - 14572*w + 4857 = 0.
1/2, 1, 4857
Let -3*k**2/2 - 3921*k + 7845/2 = 0. Calculate k.
-2615, 1
Factor 2*z**4/9 + 62280*z**3 + 4363648200*z**2.
2*z**2*(z + 140130)**2/9
Solve -2*i**4 + 62*i**3 - 202*i**2 - 398*i + 540 = 0 for i.
-2, 1, 5, 27
Let 8*m**5/7 + 64264*m**4/7 + 129026026*m**3/7 - 129202792*m**2/7 - 225940182*m/7 - 64545156/7 = 0. What is m?
-4017, -1/2, 2
Find k such that k**2 - 54712*k + 748350736 = 0.
27356
Factor 5*d**3 - 79275*d**2 + 313233000*d + 7880450000.
5*(d - 7940)**2*(d + 25)
Factor x**4 - 217*x**3 + 16170*x**2 - 445900*x + 2401000.
(x - 70)**3*(x - 7)
Find g, given that -80*g**5 + 498*g**4 + 361