-6/5, 0, 37
Find a such that -25*a**2/4 - 12645*a/4 - 42415/2 = 0.
-499, -34/5
Factor -2*x**2 + 28380*x - 100678050.
-2*(x - 7095)**2
Factor t**2/6 - 71*t + 2884/3.
(t - 412)*(t - 14)/6
Find w, given that -21*w**5 - 4047*w**4 + 21864*w**3 - 22548*w**2 + 4752*w = 0.
-198, 0, 2/7, 1, 4
Suppose -2*b**3/3 + 71396*b**2 + 142794*b + 214192/3 = 0. Calculate b.
-1, 107096
Solve -h**5/6 + 4711*h**4/6 - 3137*h**3/2 - 32971*h**2/6 + 18830*h/3 + 9418 = 0 for h.
-2, -1, 2, 3, 4709
Factor 3*b**4 - 80880*b**3 + 545050311*b**2 + 1090424166*b.
3*b*(b - 13481)**2*(b + 2)
Factor l**3/7 + 199*l**2/7 + 5295*l/7 + 38025/7.
(l + 15)**2*(l + 169)/7
Suppose -3*b**4 + 236346*b**3 = 0. Calculate b.
0, 78782
Factor 2*i**2/9 - 2932*i/9 + 4870/3.
2*(i - 1461)*(i - 5)/9
What is d in 4*d**4/5 - 1584*d**3/5 + 35076*d**2 - 711880*d = 0?
0, 26, 185
Factor a**2/3 - 16*a + 192.
(a - 24)**2/3
Factor 3*r**3/5 - 372*r**2/5 + 2139*r/5 - 354.
3*(r - 118)*(r - 5)*(r - 1)/5
Solve 2*b**2/17 + 9030*b/17 - 54252/17 = 0.
-4521, 6
Factor -r**3/4 - 5*r**2 + 3841*r/4 + 3905.
-(r - 55)*(r + 4)*(r + 71)/4
Factor 2*a**2/11 + 9048*a/11 + 10233288/11.
2*(a + 2262)**2/11
Determine h so that 3*h**3 - 250098*h**2/7 + 357249*h/7 - 107172/7 = 0.
3/7, 1, 11908
Factor -t**3 + 27926*t**2 + 223456*t + 446944.
-(t - 27934)*(t + 4)**2
Suppose 5*n**4/3 + 225*n**3 - 4915*n**2/3 + 2595*n - 3550/3 = 0. What is n?
-142, 1, 5
Let -5*v**4/6 + 200*v**3 - 30115*v**2/6 - 16880*v = 0. Calculate v.
-3, 0, 32, 211
Solve x**4/6 - 29*x**3/3 + 134*x**2/3 - 25*x - 159/2 = 0 for x.
-1, 3, 53
Find m such that -32*m**3 + 7006*m**2 + 14582*m + 884 = 0.
-2, -1/16, 221
Let -5*z**2/8 + 24*z + 533/8 = 0. What is z?
-13/5, 41
Find z such that z**2/7 - 2434*z/7 - 78912/7 = 0.
-32, 2466
Factor s**2/5 - 319688*s/5 + 25550104336/5.
(s - 159844)**2/5
Factor o**3/5 - 1252*o**2/5 + 26559*o.
o*(o - 1135)*(o - 117)/5
Let 5*q**5 + 1740*q**4 + 18470*q**3 - 21960*q**2 - 18475*q + 20220 = 0. What is q?
-337, -12, -1, 1
Determine y so that -2*y**2 - 673104*y - 673102 = 0.
-336551, -1
Factor -c**2 - 14*c + 27176.
-(c - 158)*(c + 172)
Let -3*p**4 + 675*p**3 + 4122*p**2 + 8292*p + 5544 = 0. What is p?
-2, 231
Determine p so that -2*p**4/3 + 614*p**3/3 - 1212*p**2 + 7240*p/3 - 4816/3 = 0.
2, 301
What is q in -2*q**3/9 + 32014*q**2/9 + 2*q/9 - 32014/9 = 0?
-1, 1, 16007
Solve 8*j**4 - 14308*j**3 + 7132*j**2 + 35752*j + 14304 = 0 for j.
-1, -1/2, 2, 1788
Factor 2*k**3/7 - 1370*k**2 + 1368*k + 57528/7.
2*(k - 4794)*(k - 3)*(k + 2)/7
Factor -h**3 + 6140*h**2 + 6141*h.
-h*(h - 6141)*(h + 1)
Determine z, given that 9*z**5 + 30*z**4 - 23*z**3 - 80*z**2 + 64*z = 0.
-8/3, 0, 1
Solve -4205*w**4 - 1808730*w**3 - 14445500*w**2 - 1966680*w - 67520 = 0.
-422, -8, -2/29
Factor 2*q**4/7 + 628*q**3/7 - 1902*q**2/7.
2*q**2*(q - 3)*(q + 317)/7
Factor 3*z**5/8 - 921*z**4/2 + 1127295*z**3/8 + 1134675*z**2/4.
3*z**2*(z - 615)**2*(z + 2)/8
Factor -4*h**3/7 - 248*h**2/7 + 2108*h/7 + 12144/7.
-4*(h - 11)*(h + 4)*(h + 69)/7
What is x in -x**5/5 - 524*x**4/5 + 6411*x**3/5 - 11246*x**2/5 + 1072*x = 0?
-536, 0, 1, 10
Factor a**4 + 7*a**3 - 212*a**2 + 924*a - 720.
(a - 6)**2*(a - 1)*(a + 20)
Factor 2*t**3 - 334*t**2 - 15336*t + 48960.
2*(t - 204)*(t - 3)*(t + 40)
Solve 2*u**2/3 - 3740*u/3 + 104544 = 0 for u.
88, 1782
Solve -4*k**5 - 44*k**4 + 1108*k**3 + 44*k**2 - 1104*k = 0.
-23, -1, 0, 1, 12
Factor -n**3/4 + 1031*n**2/4 + 4137*n/4 + 3105/4.
-(n - 1035)*(n + 1)*(n + 3)/4
Factor -3*l**3/4 - 57*l**2/4 + 408*l + 867.
-3*(l - 17)*(l + 2)*(l + 34)/4
Factor 4*u**3/7 + 22928*u**2/7 - 91760*u/7 + 91776/7.
4*(u - 2)**2*(u + 5736)/7
Suppose 2*k**2/9 - 500*k/9 + 4400/3 = 0. What is k?
30, 220
Determine n so that 5*n**2/3 - 2350*n/3 + 41000 = 0.
60, 410
Find p such that -p**4/4 + 63*p**3 - 9603*p**2/2 + 104895*p - 2772225/4 = 0.
15, 111
Factor -y**5/3 - 107839*y**4/3 - 969122133*y**3 - 969086187*y**2.
-y**2*(y + 1)*(y + 53919)**2/3
Factor -3*x**2 + 64752*x - 349401792.
-3*(x - 10792)**2
What is z in 3*z**2 - 4014*z + 4011 = 0?
1, 1337
Factor m**3/2 - 15*m**2/2 - 225*m/2 + 3375/2.
(m - 15)**2*(m + 15)/2
Suppose -5*h**5 - 1030*h**4 + 1050*h**3 + 3080*h**2 - 5165*h + 2070 = 0. What is h?
-207, -2, 1
Factor -2*q**2/19 - 19260*q/19 - 57762/19.
-2*(q + 3)*(q + 9627)/19
Find g, given that g**4/6 + 71*g**3/6 + 35*g**2/3 = 0.
-70, -1, 0
Factor 28*t**3 - 23412*t**2 + 26660*t + 50100.
4*(t - 835)*(t + 1)*(7*t - 15)
Factor 3*h**4 + 117*h**3 - 372*h**2 + 252*h.
3*h*(h - 2)*(h - 1)*(h + 42)
What is c in -84*c**4 - 2427*c**3 - 6459*c**2 - 3648*c + 468 = 0?
-26, -2, -1, 3/28
Determine a, given that 4*a**4/3 - 1616*a**3/3 + 20808*a**2 - 120016*a/3 + 59204/3 = 0.
1, 41, 361
Let -m**3/8 - 161*m**2/4 + 245*m - 328 = 0. Calculate m.
-328, 2, 4
Determine n, given that n**5/2 - 20*n**4 + 413*n**3/2 - 49*n**2 - 3324*n + 6336 = 0.
-4, 3, 16, 22
Factor 5*o**4 + 578*o**3/3 + 7060*o**2/3 + 27800*o/3.
o*(o + 10)**2*(15*o + 278)/3
What is o in 59858*o**4 + 1438668*o**3 + 6514506*o**2 + 224640*o + 1944 = 0?
-18, -6, -3/173
Factor -3*c**3 - 1329*c**2 - 136713*c + 2359845.
-3*(c - 15)*(c + 229)**2
Determine n so that -8*n**4/5 + 11934*n**3/5 + 50824*n**2/5 + 59832*n/5 + 11968/5 = 0.
-2, -1/4, 1496
Determine o, given that -3*o**5 + 9*o**4 + 51*o**3 - 117*o**2 + 60*o = 0.
-4, 0, 1, 5
Let 5*k**3 - 103380*k**2 = 0. Calculate k.
0, 20676
Find m, given that 3*m**3/4 - 1189*m**2/2 + 3953*m/4 + 791/2 = 0.
-1/3, 2, 791
Solve -1212*v**5 + 9704*v**4 + 39932*v**3 - 264*v**2 = 0 for v.
-3, 0, 2/303, 11
Solve -4*l**2 + 22980*l - 68904 = 0 for l.
3, 5742
Suppose 3*u**2 + 18024*u - 126315 = 0. Calculate u.
-6015, 7
Factor 3*y**3 - 85137*y**2 + 766014*y - 680880.
3*(y - 28370)*(y - 8)*(y - 1)
Let k**2 + 10342*k + 26739241 = 0. Calculate k.
-5171
Factor 2*l**3/7 + 120*l**2/7 + 58*l - 45408/7.
2*(l - 16)*(l + 33)*(l + 43)/7
Find g, given that 5*g**5 - 2240*g**4 + 40440*g**3 + 134810*g**2 + 139315*g + 47190 = 0.
-1, 22, 429
Determine y so that -10*y**4/11 - 126*y**3/11 + 1792*y**2/11 + 6240*y/11 = 0.
-20, -3, 0, 52/5
Factor t**3/4 + 33*t**2/4 + 119*t/4 + 87/4.
(t + 1)*(t + 3)*(t + 29)/4
Factor -2*f**3/3 - 39566*f**2 - 474760*f/3.
-2*f*(f + 4)*(f + 59345)/3
Suppose 3*v**2 - 4782*v + 14319 = 0. What is v?
3, 1591
Determine p so that -p**2 + 583386*p - 85084806249 = 0.
291693
Determine a, given that -32*a**3/3 - 101*a**2/3 - 74*a/3 = 0.
-2, -37/32, 0
Factor -2*x**2 - 59046*x.
-2*x*(x + 29523)
Factor -q**3/4 + 25221*q**2/4 - 25218*q + 25217.
-(q - 25217)*(q - 2)**2/4
Find u, given that -5*u**3 - 135*u**2 + 600*u - 620 = 0.
-31, 2
Factor -135*g**4 + 3224610*g**3 + 6449580*g**2 + 4299800*g + 955520.
-5*(g - 23888)*(3*g + 2)**3
Let -945*z**5/2 - 1704*z**4 - 1707*z**3/2 + 36*z**2 + 54*z = 0. Calculate z.
-3, -3/7, -2/5, 0, 2/9
Factor 4*d**3 + 156*d**2 + 264*d - 27104.
4*(d - 11)*(d + 22)*(d + 28)
Factor 75*r**4 - 470*r**3 + 2389*r**2/3 - 188*r + 12.
(r - 3)**2*(15*r - 2)**2/3
Factor -17101*c**2 + 34206*c - 8.
-(c - 2)*(17101*c - 4)
Factor 3*n**3/5 + 159*n**2/5 - 9408*n/5 + 18156/5.
3*(n - 34)*(n - 2)*(n + 89)/5
Factor 4*m**4 + 9*m**3 - 126*m**2 - 416*m - 96.
(m - 6)*(m + 4)**2*(4*m + 1)
Let -x**2/5 - 1022*x/5 - 408 = 0. What is x?
-1020, -2
Factor 5*g**2/2 - 41200*g - 742005/2.
5*(g - 16489)*(g + 9)/2
Suppose 3*k**4 - 1064529*k**3/5 - 2554929*k**2/5 - 1916211*k/5 - 425826/5 = 0. What is k?
-1, -2/5, 70971
Find s, given that -4*s**4 + 740*s**3 - 1448*s**2 - 2960*s + 5856 = 0.
-2, 2, 183
What is c in 2*c**4/23 - 52*c**3/23 + 88*c**2/23 + 208*c/23 - 384/23 = 0?
-2, 2, 24
Determine u, given that -u**2/6 + 1583*u/3 - 68684/3 = 0.
44, 3122
What is o in -o**4/3 - 125005*o**3/3 - 1736097192*o**2 - 72308437962176*o/3 + 796023187260928/3 = 0?
-41672, 11
Factor -4*l**5 + 4112*l**4 - 1073040*l**3 + 8323200*l**2.
-4*l**2*(l - 510)**2*(l - 8)
Determine d so that 4*d**4 + 2535*d**3 + 1898*d**2 - 633*d = 0.
-633, -1, 0, 1/4
Factor -2*t**2/19 + 20*t/19 + 112/19.
-2*(t - 14)*(t + 4)/19
Suppose 7*d**3/3 - 491103*d**2 + 350786*d + 420944/3 = 0. What is d?
-2/7, 1, 210472
What is b in -946*b**5 - 70008*b**4 - 1223474*b**3 + 2654980*b**2 - 1354776*b - 5776 = 0?
-38, -2/473, 1
What is o in 5*o**5/2 + 3277*o**4/4 + 141693*o**3/2 + 2366469*o**2/4 - 3401487*o/2 + 455058 = 0?
-159, -12, 3/10, 2
Suppose -g**4/5 + 4*g**3/5 + 86*g**2/5 - 36*g/5 - 693/5 = 0. What is g?
-7, -3, 3