*g**2/3 - 176116*g/3 - 110060/3 = 0.
-5503, -5/3, -1
Factor -v**3 - 3748*v**2 - 3511876*v.
-v*(v + 1874)**2
Solve -3*r**2 + 564*r - 10521 = 0.
21, 167
Find d, given that -2*d**2/21 - 480992*d/21 - 160330/7 = 0.
-240495, -1
What is w in -2*w**3/9 + 48*w**2 + 434*w/9 = 0?
-1, 0, 217
Suppose -7*s**2 + 4380*s - 3125 = 0. What is s?
5/7, 625
Determine d so that 3875*d**5 + 560075*d**4/3 + 647785*d**3/3 + 60835*d**2 - 1410*d = 0.
-47, -3/5, 0, 2/93
Factor 2*j**2/7 - 5692*j + 28349006.
2*(j - 9961)**2/7
Find v, given that v**4 - 227*v**3 + 3630*v**2 - 12600*v = 0.
0, 5, 12, 210
Let 20*p**4 - 596*p**3 - 4116*p**2 - 6364*p - 2864 = 0. What is p?
-4, -1, 179/5
Solve 2*v**5/5 - 6834*v**4/5 + 1168272*v**3 - 5834528*v**2/5 = 0.
0, 1, 1708
Factor -r**5 + r**4 + 30*r**3.
-r**3*(r - 6)*(r + 5)
Find r, given that 2*r**3 - 3432*r**2 + 1472328*r = 0.
0, 858
Solve 2*g**5/13 - 134*g**4/13 + 1016*g**3/13 + 1696*g**2/13 - 4096*g/13 - 4640/13 = 0.
-2, -1, 2, 10, 58
Suppose 5*g**5 - 200*g**4 - 2890*g**3 + 84660*g**2 + 1478925*g + 5953500 = 0. Calculate g.
-12, -9, 35
Factor 2*n**3/9 - 9592*n**2/9 - 96520*n/3.
2*n*(n - 4826)*(n + 30)/9
Factor n**5 - 24*n**4 + 53*n**3 + 1074*n**2 + 2016*n.
n*(n - 16)*(n - 14)*(n + 3)**2
Factor 3*d**2 + 558588*d + 26001712812.
3*(d + 93098)**2
Factor 12*q**4/7 - 44176*q**3/7 + 5805988*q**2 + 3873464*q.
4*q*(q - 1841)**2*(3*q + 2)/7
Factor -3*g**5/4 + 51*g**4/2 - 270*g**3 + 648*g**2 + 2592*g.
-3*g*(g - 12)**3*(g + 2)/4
Find k, given that -125*k**4 - 1313900*k**3 - 3453454670*k**2 - 4142726700*k - 1242676125 = 0.
-5255, -3/5
Solve 2*u**4/5 - 3138*u**3/5 - 9432*u**2/5 = 0.
-3, 0, 1572
Suppose -147*j**3 - 137550*j**2 - 98193*j - 16830 = 0. What is j?
-935, -3/7, -2/7
Suppose -2*c**5/11 - 136*c**4/11 - 2712*c**3/11 - 5900*c**2/11 + 196250*c/11 - 187500/11 = 0. What is c?
-25, 1, 6
Factor g**3 - 579*g**2 + 25136*g - 70224.
(g - 532)*(g - 44)*(g - 3)
Solve 2*x**4/13 - 1362*x**3 + 39161176*x**2/13 + 118139040*x/13 - 1098002304/13 = 0 for x.
-7, 4, 4428
What is b in 10*b**4/7 - 436*b**3/7 + 1534*b**2/7 + 10044*b/7 + 3744/7 = 0?
-3, -2/5, 8, 39
Determine y, given that 2*y**2/7 - 226*y/7 - 1804 = 0.
-41, 154
Factor 5*b**2/3 + 545*b + 68110/3.
5*(b + 49)*(b + 278)/3
What is q in 3*q**2/5 + 3354*q/5 - 264624/5 = 0?
-1192, 74
What is s in -5*s**4/2 + 1730*s**3 - 193555*s**2 - 36584310*s - 2235978045/2 = 0?
-53, 399
Factor 2*s**5 + 312*s**4 - 2624*s**3.
2*s**3*(s - 8)*(s + 164)
Find r, given that -16*r**4 + 492*r**3 - 1252*r**2 + 552*r + 224 = 0.
-1/4, 1, 2, 28
Solve -d**2/3 + 26096*d/3 - 170250304/3 = 0.
13048
Factor -3*y**3/2 - 2484*y**2 - 2491335*y/2 - 196991025.
-3*(y + 385)**2*(y + 886)/2
Determine a, given that -578*a**5 - 29920*a**4 - 396958*a**3 - 279896*a**2 + 82536*a - 5184 = 0.
-27, -24, -1, 2/17
Factor d**4/4 - 459*d**3/4 + 52899*d**2/4 - 52441*d/4.
d*(d - 229)**2*(d - 1)/4
Factor u**3/4 - 87649*u**2/2 - 350599*u/4 - 43825.
(u - 175300)*(u + 1)**2/4
Factor b**5/3 + 317*b**4/3 - 1746*b**3 + 29770*b**2/3 - 66475*b/3 + 13875.
(b - 5)**3*(b - 1)*(b + 333)/3
Factor -m**2 + 62*m - 952.
-(m - 34)*(m - 28)
Factor 2*d**4 - 42*d**3 + 90*d**2 + 314*d + 180.
2*(d - 18)*(d - 5)*(d + 1)**2
Factor -8*q**3/13 - 30776*q**2/13 + 30854*q - 100360.
-2*(q + 3860)*(2*q - 13)**2/13
Factor 4*n**3 - 23436*n**2 - 517044*n - 2846404.
4*(n - 5881)*(n + 11)**2
Factor j**2/5 - 33409*j/5 + 100218/5.
(j - 33406)*(j - 3)/5
Suppose 27*f**2 + 22003*f - 1630 = 0. Calculate f.
-815, 2/27
Determine m, given that -2*m**3 + 296*m**2 + 2846*m - 3140 = 0.
-10, 1, 157
Factor -14948*l**4/5 + 29892*l**3/5 - 2988*l**2 - 4*l/5.
-4*l*(l - 1)**2*(3737*l + 1)/5
Factor s**3/9 - 1789*s**2/9 + 938707*s/9 - 39333349/3.
(s - 803)**2*(s - 183)/9
Solve 16*p**4 + 420*p**3 - 436*p**2 = 0 for p.
-109/4, 0, 1
Factor 4*s**2 - 26488*s + 26484.
4*(s - 6621)*(s - 1)
Find n such that -2*n**2/19 - 173928*n/19 - 9154 = 0.
-86963, -1
Suppose -y**3 - 407*y**2 - 13208*y + 6516116 = 0. What is y?
-254, 101
What is j in -14*j**4/5 - 175186*j**3/5 - 730734174*j**2/5 - 1016103257846*j/5 - 290255568844/5 = 0?
-4171, -2/7
Factor g**3 - 324667*g**2 + 26352002888*g + 26352327556.
(g - 162334)**2*(g + 1)
Suppose 5*b**4 - 265*b**3 + 2795*b**2 - 2535*b = 0. Calculate b.
0, 1, 13, 39
Factor 2*h**2/13 - 502*h/13 + 14016/13.
2*(h - 219)*(h - 32)/13
Factor 3*l**3/8 + 7173*l**2/8 + 4305537*l/8 + 21348735/8.
3*(l + 5)*(l + 1193)**2/8
Solve -4*o**3/3 - 20320*o**2/3 + 757316*o/3 = 0 for o.
-5117, 0, 37
Factor -2*t**2/7 - 7802*t/7 - 453356/7.
-2*(t + 59)*(t + 3842)/7
Factor 2*g**3/7 + 2086*g**2 - 18*g/7 - 18774.
2*(g - 3)*(g + 3)*(g + 7301)/7
Solve g**4/4 + 877*g**3/2 + 191843*g**2 - 385442*g = 0 for g.
-878, 0, 2
What is i in 27*i**3 - 408*i**2 + 423*i - 42 = 0?
1/9, 1, 14
Factor i**3/4 + 21655*i**2/4 - 260017*i/4 - 281671/4.
(i - 13)*(i + 1)*(i + 21667)/4
Factor -i**3 + 2732*i**2 + 38395*i + 134554.
-(i - 2746)*(i + 7)**2
Determine u so that u**4/2 + 337*u**3 + 110825*u**2/2 - 465124*u = 0.
-341, 0, 8
Let 2*x**5/15 + 516*x**4/5 - 1034*x**3/5 + 1552*x**2/15 = 0. Calculate x.
-776, 0, 1
Determine c so that -2*c**4/15 - 298*c**3/15 - 2066*c**2/5 + 298*c/15 + 1240/3 = 0.
-124, -25, -1, 1
Factor 8*d**4/7 - 8072*d**3/7 + 2019922*d**2/7 + 8209352*d/7.
2*d*(d + 4)*(2*d - 1013)**2/7
Suppose -30*d**3 + 3745*d**2 - 114660*d - 138915 = 0. Calculate d.
-7/6, 63
Solve 2*z**4/11 + 1214*z**3/11 + 174854*z**2/11 - 2856846*z/11 + 6963912/11 = 0 for z.
-311, 3, 12
Suppose -z**2 + 27293*z + 27294 = 0. Calculate z.
-1, 27294
Find n, given that n**5/8 + 97*n**4/4 + 3417*n**3/4 + 4837*n**2/2 + 18965*n/8 + 3129/4 = 0.
-149, -42, -1
Let -6*z**3/11 + 1908372*z**2/11 - 151748970438*z/11 + 606965348184/11 = 0. Calculate z.
4, 159029
Factor 3*a**3 - 819*a**2 + 8676*a - 7860.
3*(a - 262)*(a - 10)*(a - 1)
Find q such that -2*q**5 + 10*q**4 + 2654*q**3 - 10*q**2 - 2652*q = 0.
-34, -1, 0, 1, 39
Solve 2*c**2/11 - 26*c/11 - 10720/11 = 0.
-67, 80
Let 2*y**5/23 + 32*y**4/23 + 130*y**3/23 + 76*y**2/23 - 240*y/23 = 0. Calculate y.
-10, -4, -3, 0, 1
Solve 3*z**3 - 2091*z**2 + 2088*z = 0 for z.
0, 1, 696
Solve 8*t**3 - 51090*t**2 - 38324*t + 12774 = 0.
-1, 1/4, 6387
Factor -3*n**2/2 - 33*n/2 + 63.
-3*(n - 3)*(n + 14)/2
Factor 40*r**3 - 141515*r**2 + 123790*r + 17685.
5*(r - 3537)*(r - 1)*(8*r + 1)
Find m, given that -3*m**3 - 1485*m**2 - 209304*m - 6082128 = 0.
-228, -39
Factor -2*n**3 + 6386*n**2 - 488982*n + 9475830.
-2*(n - 3115)*(n - 39)**2
Let v**2/2 - 109901*v + 12078229801/2 = 0. What is v?
109901
Solve -2*p**2 + 196*p + 1470 = 0 for p.
-7, 105
Suppose -u**2 - 14937*u + 29878 = 0. What is u?
-14939, 2
Factor -6*h**2 - 345*h + 1281.
-3*(h + 61)*(2*h - 7)
What is x in x**5/4 - 7*x**4/4 - 279*x**3/2 - 338*x**2 + 3224*x + 10080 = 0?
-18, -4, 5, 28
Factor -5*d**3 - 7835*d**2 - 3065440*d + 3073280.
-5*(d - 1)*(d + 784)**2
Find q such that 5*q**3 - 2860*q**2 + 383775*q = 0.
0, 215, 357
Factor 2*i**2/5 - 16198*i/5 - 19452.
2*(i - 8105)*(i + 6)/5
Let -4*w**2 + 244896*w - 3748378176 = 0. What is w?
30612
Suppose -5*s**3/4 + 385*s**2/4 - 1815*s/2 = 0. Calculate s.
0, 11, 66
Factor 3*s**2/4 + 289797*s + 27994100403.
3*(s + 193198)**2/4
Solve -5*f**2 - 1128080*f - 63628224320 = 0 for f.
-112808
Solve 2*y**5 - 6376*y**4 - 12766*y**3 + 19140*y**2 = 0 for y.
-3, 0, 1, 3190
Factor -5*v**2 + 3035*v + 6090.
-5*(v - 609)*(v + 2)
Solve -b**4/4 + 5*b**3/2 - 5*b**2/4 - 10*b + 9 = 0 for b.
-2, 1, 2, 9
Suppose -32*m**4 + 268*m**3 + 384*m**2 - 1908*m + 648 = 0. What is m?
-3, 3/8, 2, 9
Factor 2*w**3/5 + 264*w**2/5 - 6776*w/5.
2*w*(w - 22)*(w + 154)/5
Find n, given that 7137*n**2 + 14271*n - 6 = 0.
-2, 1/2379
Determine h, given that -3*h**2 - 16461*h - 32910 = 0.
-5485, -2
Factor m**2/3 + 494752*m/3 + 61194885376/3.
(m + 247376)**2/3
Let -i**4/6 - 35*i**3/3 + 1115*i**2/6 - 840*i + 1176 = 0. What is i?
-84, 3, 4, 7
Factor h**2 - 962*h + 218365.
(h - 595)*(h - 367)
Factor 4*p**2 + 36820*p + 110424.
4*(p + 3)*(p + 9202)
Let 2*b**5 - 110*b**4 + 1558*b**3 - 1018*b**2 - 6264*b + 5832 = 0. Calculate b.
-2, 1, 2, 27
Factor o**4/3 + 46*o**3/3 + 199*o**2/3 - 82*o.
o*(o - 1)*(o + 6)*(o + 41)/3
Factor -4*c**2/3 - 229688*c/3 + 76564.
-4*(c - 1)*(c + 57423)/3
Factor 4*z**2 + 658956*z + 658952.
4*(z + 1)*(z + 164738)
What is l in -2*l**4/3 + 13348*l**3 + 240408*l**2 + 1442736*l + 2885760 = 0?
-6, 