 that -3*r**3 + 360*r**2 - 11175*r + 78750 = 0.
10, 35, 75
Factor -3*m**2 + 197826*m - 395640.
-3*(m - 65940)*(m - 2)
Suppose a**5/6 - 47*a**4/6 + 191*a**3/2 - 437*a**2/6 - 529*a/3 = 0. Calculate a.
-1, 0, 2, 23
Factor -4*x**2 + 13552*x.
-4*x*(x - 3388)
Suppose -3*n**2 - 110334*n + 331029 = 0. Calculate n.
-36781, 3
Factor 2*g**4 + 2902*g**3 + 1057040*g**2 + 3145056*g.
2*g*(g + 3)*(g + 724)**2
Factor -2*k**2/9 + 26*k + 80.
-2*(k - 120)*(k + 3)/9
Let 2*n**5/23 - 582*n**4/23 - 6*n**3/23 + 1750*n**2/23 - 1164*n/23 = 0. What is n?
-2, 0, 1, 291
Factor 2*a**4/3 - 1856*a**3/3 - 1860*a**2 - 5584*a/3 - 1862/3.
2*(a - 931)*(a + 1)**3/3
Let y**3/2 - 2889*y**2 + 296400*y - 7671248 = 0. Calculate y.
52, 5674
Determine r, given that 2*r**5 + 182*r**4 + 5442*r**3 + 60794*r**2 + 282236*r + 459984 = 0.
-37, -7, -6, -4
Suppose 85*u**3/4 - 169*u**2 + 332*u + 16 = 0. Calculate u.
-4/85, 4
Solve -i**3 - 367*i**2 - 1816*i - 2172 = 0.
-362, -3, -2
Solve k**5/5 + 253*k**4/5 + 15616*k**3/5 - 49148*k**2/5 + 1024*k/5 + 65536/5 = 0.
-128, -1, 2
Solve -3*y**4 - 195*y**3 - 3339*y**2 - 11205*y + 14742 = 0 for y.
-39, -21, -6, 1
Suppose 2*w**2 - 778732*w + 75802940978 = 0. What is w?
194683
Find a such that a**2 - 3606*a + 3605 = 0.
1, 3605
What is h in h**3 + 546*h**2 + 72864*h - 457056 = 0?
-276, 6
Factor -2*u**2/7 + 39404*u/7 - 194084402/7.
-2*(u - 9851)**2/7
What is j in 17624*j**3 + 44064*j**2 + 17634*j + 4 = 0?
-2, -1/2, -1/4406
Factor 2*d**2 + 11783*d - 5892.
(d + 5892)*(2*d - 1)
Factor -2*v**2 + 4908*v - 19600.
-2*(v - 2450)*(v - 4)
Suppose d**5 - 1013*d**4/4 + 61441*d**3/4 + 48947*d**2/4 - 140485*d/4 + 15553/2 = 0. What is d?
-2, 1/4, 1, 103, 151
Find b, given that 169*b**5 - 524004*b**4 + 405820509*b**3 + 563506250*b**2 - 461974656*b + 76979232 = 0.
-2, 4/13, 1551
Determine w so that -4*w**3/5 - 7242*w**2/5 + 83836*w/5 + 43728/5 = 0.
-1822, -1/2, 12
Factor -8*u**2 - 59158*u + 14790.
-2*(u + 7395)*(4*u - 1)
Solve 50*j**4/9 - 2690*j**3/9 - 7552*j**2/9 + 26656*j/3 - 12544 = 0 for j.
-7, 12/5, 56
Find s such that 5*s**2 - 12950*s + 8385125 = 0.
1295
Factor 4*c**2/5 + 44*c/5 - 144.
4*(c - 9)*(c + 20)/5
What is x in -2*x**5/5 - 2382*x**4/5 - 959514*x**3/5 - 27212818*x**2 - 2151952956*x/5 = 0?
-391, -18, 0
Factor 2*f**4/5 - 72*f**3/5 + 426*f**2/5 - 116*f.
2*f*(f - 29)*(f - 5)*(f - 2)/5
Factor -s**3/10 + 2215*s**2 + 132927*s/10 + 99702/5.
-(s - 22156)*(s + 3)**2/10
Factor 2*q**2/5 - 13946*q.
2*q*(q - 34865)/5
Suppose -l**2/4 - 20831*l/4 + 5208 = 0. What is l?
-20832, 1
Let 2*u**3/5 - 286*u**2/5 + 9212*u/5 = 0. Calculate u.
0, 49, 94
Factor 2*h**3 - 9374*h**2 + 10960512*h + 55037160.
2*(h - 2346)**2*(h + 5)
Determine y so that 35*y**2/6 + 166030*y + 142310/3 = 0.
-28462, -2/7
Factor 5*x**5 + 224450*x**4 + 2519338965*x**3 + 10073764980*x**2.
5*x**2*(x + 4)*(x + 22443)**2
Factor c**4 + 3346*c**3 - 6695*c**2 + 3348*c.
c*(c - 1)**2*(c + 3348)
Let u**4/2 - 3027*u**3/2 + 4528*u**2 + 24186*u + 18144 = 0. What is u?
-2, -1, 6, 3024
Factor -o**4 - 25607*o**3 - 163968016*o**2 - 491673612*o.
-o*(o + 3)*(o + 12802)**2
Suppose g**3/4 + 25665*g**2/4 + 153882*g + 923076 = 0. What is g?
-25641, -12
Find w such that -7*w**4 - 543*w**3/2 + 15547*w**2/2 - 1614*w - 1102 = 0.
-58, -2/7, 1/2, 19
Let -c**4/6 - 14138*c**3 - 899431283*c**2/3 + 599663270*c - 1799032225/6 = 0. Calculate c.
-42415, 1
Determine j, given that j**2/2 - 88280*j + 3896679200 = 0.
88280
Let -4*p**3/7 - 4608*p**2/7 - 989172*p/7 - 59508216/7 = 0. What is p?
-894, -129
Let -8*p**4/5 - 11778*p**3/5 + 8856*p**2/5 + 26518*p/5 + 5892/5 = 0. What is p?
-1473, -1, -1/4, 2
Suppose 16*f**2 + 3565*f/3 + 962/3 = 0. Calculate f.
-74, -13/48
Let -2*n**5 - 4554*n**4 - 4546*n**3 + 13666*n**2 + 22764*n + 9104 = 0. What is n?
-2276, -1, 2
Determine c so that 3*c**3 + 14913*c**2 + 974457*c + 16024635 = 0.
-4905, -33
Factor 3*p**2 + 5889*p.
3*p*(p + 1963)
Factor 1849*v**3/10 + 501337*v**2/5 + 139854*v/5 + 9756/5.
(v + 542)*(43*v + 6)**2/10
Factor -c**3/2 + 25*c**2/2 - 75*c.
-c*(c - 15)*(c - 10)/2
Factor -2*c**3/5 + 35868*c**2/5 + 7174*c.
-2*c*(c - 17935)*(c + 1)/5
Determine g, given that -g**2/3 - 229810*g/3 - 13203159025/3 = 0.
-114905
Factor 2*x**2 + 1298*x + 8988.
2*(x + 7)*(x + 642)
Let a**3/6 - 11*a**2/3 + 115*a/6 - 25 = 0. What is a?
2, 5, 15
Suppose 2*y**4/15 + 10*y**3 + 1312*y**2/15 - 4104*y/5 + 6048/5 = 0. Calculate y.
-63, -18, 2, 4
Factor -4*a**3/5 - 176*a**2/5 + 18252*a/5 - 285768/5.
-4*(a - 27)**2*(a + 98)/5
Find m, given that 2*m**2 + 1896*m - 28890 = 0.
-963, 15
Factor -2*j**3 - 2116*j**2 - 37602*j - 168480.
-2*(j + 9)**2*(j + 1040)
What is y in 6*y**4 + 1567*y**3 - 12609*y**2 + 9153*y + 1883 = 0?
-269, -1/6, 1, 7
Determine s so that s**4 - 137*s**3 + 5329*s**2 - 40383*s - 103194 = 0.
-2, 13, 63
What is m in 5*m**5 + 300*m**4 - 1690*m**3 - 4260*m**2 - 2275*m = 0?
-65, -1, 0, 7
Factor v**3/4 + 223*v**2 + 214781*v/4 + 3464251/2.
(v + 38)*(v + 427)**2/4
Find s, given that s**3/6 + 5*s**2/2 + 19*s/3 + 4 = 0.
-12, -2, -1
Factor 2*d**4/3 + 58*d**3 - 1496*d**2/3 + 760*d.
2*d*(d - 6)*(d - 2)*(d + 95)/3
Solve 24*q**4/5 + 191428*q**3/5 + 127584*q**2/5 - 191428*q/5 - 127608/5 = 0.
-15951/2, -1, -2/3, 1
Factor -5*x**3 - 530*x**2 - 17325*x - 162000.
-5*(x + 16)*(x + 45)**2
What is s in 2*s**4/9 - 6338*s**3/9 + 2255110*s**2/3 - 2505105350*s/9 + 77599296500/9 = 0?
34, 1045
Factor -2*y**3/3 - 3820*y**2/3 - 609288*y - 1213488.
-2*(y + 2)*(y + 954)**2/3
Find o such that 2*o**2/11 - 66*o + 3580/11 = 0.
5, 358
Find c, given that -6*c**4 - 412*c**3 - 7218*c**2 - 20732*c + 7728 = 0.
-42, -23, -4, 1/3
Find n, given that 2*n**2/9 + 15704*n/9 + 5234/3 = 0.
-7851, -1
Factor 3*f**4/5 - 425172*f**3/5 + 15064269132*f**2/5.
3*f**2*(f - 70862)**2/5
Suppose -5*r**4/2 + 113*r**3/2 - 103*r**2 - 2898*r + 1764 = 0. What is r?
-6, 3/5, 14
Factor -3900625*t**2/2 + 47400*t - 288.
-(1975*t - 24)**2/2
Factor 20*x**3 + 2604*x**2 + 60520*x + 12000.
4*(x + 30)*(x + 100)*(5*x + 1)
Factor -46*u**4 + 39564*u**3 - 11370216*u**2 + 1099665424*u - 2245790976.
-2*(u - 286)**3*(23*u - 48)
Factor -x**3 + 15724*x**2 - 61811044*x.
-x*(x - 7862)**2
Let -121*w**3 + 367*w**2 - 254*w + 8 = 0. Calculate w.
4/121, 1, 2
Factor -q**2/7 - 65379*q/7 + 9340.
-(q - 1)*(q + 65380)/7
Let 75*a**5 + 9520*a**4 - 30195*a**3 - 38300*a**2 + 6540*a + 5200 = 0. Calculate a.
-130, -1, -1/3, 2/5, 4
Factor -37*b**3/8 + 2929*b**2/8 + 1243*b/4 - 60.
-(b - 80)*(b + 1)*(37*b - 6)/8
Suppose -2*d**4/3 + 144512*d**3/3 + 48172*d**2 - 144512*d/3 - 144514/3 = 0. Calculate d.
-1, 1, 72257
Let -3*i**2 + 891*i + 2700 = 0. Calculate i.
-3, 300
Solve -l**3 - 925*l**2 + 39692*l + 83076 = 0 for l.
-966, -2, 43
Determine x, given that -5*x**5 + 65*x**4 - 95*x**3 - 185*x**2 + 200*x + 220 = 0.
-1, 2, 11
Factor -4*c**3 + 476*c**2 + 11924*c + 68244.
-4*(c - 141)*(c + 11)**2
Solve -18*x**5/7 + 23754*x**4/7 - 7785200*x**3/7 - 34077136*x**2/7 - 35027744*x/7 - 10517856/7 = 0.
-3, -2/3, 662
What is n in -2*n**4/3 + 58*n**3/3 - 36*n**2 = 0?
0, 2, 27
Factor 4*s**2/3 - 19060*s/3 - 76304/3.
4*(s - 4769)*(s + 4)/3
What is z in -2*z**3/13 - 138*z**2/13 - 1180*z/13 = 0?
-59, -10, 0
Determine u, given that u**4/3 + 184*u**3/3 + 2987*u**2/3 - 184*u/3 - 996 = 0.
-166, -18, -1, 1
Let -a**5/9 + 4*a**4/3 + 3355*a**3/9 - 18470*a**2/9 - 959348*a/3 - 2856232/9 = 0. Calculate a.
-38, -1, 43, 46
Solve c**5/7 + 39*c**4 - 3*c**3/7 - 817*c**2/7 + 78*c = 0 for c.
-273, -2, 0, 1
Factor 5*s**3 + 8085*s**2 - 113925*s + 399595.
5*(s - 7)**2*(s + 1631)
Determine b so that -25*b**5 - 3585*b**4 - 22296*b**3 - 51896*b**2 - 52752*b - 19728 = 0.
-137, -2, -6/5
Solve -2*b**4/9 + 248*b**3/9 - 7474*b**2/9 - 8228*b/9 + 5152/3 = 0.
-2, 1, 56, 69
Factor 2*z**3/5 + 4858*z**2/5 - 6824*z - 38976/5.
2*(z - 8)*(z + 1)*(z + 2436)/5
Determine n so that -3*n**5/5 + 3132*n**4/5 - 801546*n**3/5 - 8353416*n**2/5 + 5212557*n/5 + 163304652/5 = 0.
-7, 4, 527
Factor a**3/3 + 8*a**2 + 28*a + 80/3.
(a + 2)**2*(a + 20)/3
Factor q**2/7 - 9300*q/7.
q*(q - 9300)/7
Determine u so that -2*u**2/3 - 24062*u/3 + 72240 = 0.
-12040, 9
Factor 2*z**2/5 + 5114*z + 51132/5.
2*(z + 2)*(z + 12783)/5
Factor -k**2/2 + 18829*k/2 - 9414.
-(k - 18828)*(k - 1)/2
Solve -15*x**4 - 156590*x**3 - 408621600*x**2 + 272484000*x = 0 for x.
-5220, 0, 2/3
Solve -108*l**4/5 - 354*l**3/5 + 1542*l**2/5 - 1296*l/5 + 216