**5/4 + 405*u**4/4 - 18489*u**3/4 + 306891*u**2/4 - 254604*u + 237699 = 0 for u.
2, 33, 49
Solve z**3/5 + 13*z**2/5 - 26*z/5 - 528/5 = 0.
-11, -8, 6
Factor f**2 + 110*f + 909.
(f + 9)*(f + 101)
Factor 3*g**3 - 789*g**2 + 3120*g - 3108.
3*(g - 259)*(g - 2)**2
Find f, given that f**4/2 - 6081*f**3/2 + 12157*f**2/2 + 6081*f/2 - 6079 = 0.
-1, 1, 2, 6079
Factor 5*s**3/2 + 150*s**2 + 3115*s/2 - 19110.
5*(s - 7)*(s + 28)*(s + 39)/2
Factor -2*g**3/3 + 1408*g**2/3 - 6998*g/3 + 1864.
-2*(g - 699)*(g - 4)*(g - 1)/3
Factor -14*z**2/9 + 438*z + 188.
-2*(z - 282)*(7*z + 3)/9
Factor 3*a**4/4 + 2037*a**3/4 + 86190*a**2 - 86700*a.
3*a*(a - 1)*(a + 340)**2/4
Factor -n**2/2 + 14831*n/2 + 29670.
-(n - 14835)*(n + 4)/2
Factor 2*s**4/11 + 89032*s**3/11 + 990837128*s**2/11.
2*s**2*(s + 22258)**2/11
Determine g so that -2*g**5 + 71*g**4/3 - 29*g**3 - 746*g**2/3 + 456*g = 0.
-19/6, 0, 2, 4, 9
Factor -5*p**2 - 54945*p + 274850.
-5*(p - 5)*(p + 10994)
Factor 5*i**3 + 17850*i**2 + 637740*i + 5725080.
5*(i + 18)**2*(i + 3534)
What is t in -4*t**2 - 8180*t = 0?
-2045, 0
What is o in 73*o**4/4 + 18*o**3 - 183*o**2/2 + 56*o - 3/4 = 0?
-3, 1/73, 1
Let 14*v**4 - 284*v**3 + 242*v**2 + 540*v = 0. Calculate v.
-1, 0, 2, 135/7
Let -6*k**3/5 + 28284*k**2/5 + 5658*k = 0. Calculate k.
-1, 0, 4715
Factor 13125*b**3 - 10014075*b**2 - 1602288*b/7 - 1308.
3*(b - 763)*(175*b + 2)**2/7
Solve -1569*k**5/2 - 3147*k**4 - 3174*k**3 - 36*k**2 = 0.
-2, -6/523, 0
Find o, given that -o**3/3 - 99*o**2 - 4082*o + 25688/3 = 0.
-247, -52, 2
Determine p so that -4*p**3 + 31924*p**2 - 63820*p - 95748 = 0.
-1, 3, 7979
Factor -2*o**2/11 + 1392*o/11 - 27040/11.
-2*(o - 676)*(o - 20)/11
Suppose -2*x**2/3 - 25936*x/3 - 84084512/3 = 0. Calculate x.
-6484
Let 6*n**4 - 322*n**3 + 1818*n**2 + 2898*n + 752 = 0. What is n?
-1, -1/3, 8, 47
Let -m**4/4 - 1570*m**3 - 9859599*m**2/4 + 1570*m + 2464900 = 0. What is m?
-3140, -1, 1
Factor 684*m**3 + 15045*m**2 - 32898*m + 144.
3*(m - 2)*(m + 24)*(228*m - 1)
Factor 75*i**3 + 6755*i**2 + 152325*i + 10125.
5*(i + 45)**2*(15*i + 1)
Determine y, given that 2*y**2/9 - 656*y/9 + 17114/3 = 0.
129, 199
Suppose 10*v**5/3 + 976*v**4/3 + 4352*v**3/3 + 6932*v**2/3 + 1554*v + 372 = 0. Calculate v.
-93, -2, -1, -3/5
Suppose -3*p**4/5 + 144*p**3/5 - 381*p**2 + 5508*p/5 = 0. Calculate p.
0, 4, 17, 27
Solve -2*t**5/5 + 2726*t**4/5 - 112212*t**3/5 + 1656044*t**2/5 - 9836138*t/5 + 17413422/5 = 0 for t.
3, 13, 1321
What is g in 49*g**5/4 - 116599*g**4/4 + 73030507*g**3/4 - 4305300233*g**2/4 + 610574354*g - 87012185 = 0?
2/7, 65, 1157
Solve -10*k**2/23 + 1097406*k/23 + 438964/23 = 0 for k.
-2/5, 109741
Solve f**4/8 + 11*f**3/8 - 29*f**2/4 - 40*f + 156 = 0.
-13, -6, 4
Factor b**4/12 + 7*b**3/2 - 45*b**2/4 + b/3 + 15.
(b - 2)**2*(b + 1)*(b + 45)/12
Factor -3*o**3 + 3771*o**2 - 1183149*o - 1186923.
-3*(o - 629)**2*(o + 1)
Factor 2*s**3/3 - 350*s**2 - 702*s - 1054/3.
2*(s - 527)*(s + 1)**2/3
Factor 123*g**2/2 - 1061*g/2 - 207.
(g - 9)*(123*g + 46)/2
Find a such that -a**2/7 + 477706*a/7 - 57050755609/7 = 0.
238853
Factor 5*v**4/2 - 115885*v**3 + 2780280*v**2 - 22239680*v + 59302400.
5*(v - 46330)*(v - 8)**3/2
Factor 2*o**2/5 - 214758*o/5 + 214756/5.
2*(o - 107378)*(o - 1)/5
Suppose -32*b**5 + 84*b**4 + 120*b**3 - 292*b**2 + 120*b = 0. What is b?
-2, 0, 5/8, 1, 3
Determine h so that -h**3/3 - 174*h**2 - 1553*h/3 + 692 = 0.
-519, -4, 1
Solve 2*j**3/7 - 1294*j**2/7 - 6508*j/7 - 7824/7 = 0 for j.
-3, -2, 652
Factor -o**5/3 - 2*o**4/3 + 3*o**3 + 22*o**2/3 - 4*o/3 - 8.
-(o - 3)*(o - 1)*(o + 2)**3/3
Factor -2*g**3 - 1766*g**2 - 24430*g - 85162.
-2*(g + 7)**2*(g + 869)
Solve -7*i**4 + 3856*i**3 + 23882*i**2 + 38424*i + 5013 = 0.
-3, -1/7, 557
Find y, given that y**4/2 - 73*y**3/2 + 502*y**2 + 614*y - 1080 = 0.
-2, 1, 20, 54
Factor 2*q**3/5 - 4*q**2/5 - 238*q/5 - 624/5.
2*(q - 13)*(q + 3)*(q + 8)/5
Factor 5*n**2 - 1518890*n - 1518895.
5*(n - 303779)*(n + 1)
Factor i**3/3 - 124*i**2/3 + 4129*i/3 - 13090.
(i - 77)*(i - 30)*(i - 17)/3
What is z in 5*z**5 + 1735*z**4 - 25150*z**3 + 44600*z**2 + 459520*z - 924160 = 0?
-361, -4, 2, 8
Determine g so that -2*g**3 + 24276*g**2 - 73226610*g - 2667712968 = 0.
-36, 6087
Let -x**2 - 135750*x - 4607015625 = 0. Calculate x.
-67875
Determine x so that 2*x**5/13 + 24210*x**4/13 + 73180720*x**3/13 - 513258080*x**2/13 + 587189760*x/13 + 1173604352/13 = 0.
-6056, -1, 4
Factor 4*b**4 + 1348*b**3 - 4116*b**2 - 12132*b + 36720.
4*(b - 3)**2*(b + 3)*(b + 340)
Find q, given that q**5/5 + 37738*q**4/5 + 71351084*q**3 + 2702863640*q**2 + 22734608000*q - 56851600000 = 0.
-18850, -20, 2
Find p such that 5*p**2 - 58490*p + 171054005 = 0.
5849
Factor -3*d**2/2 - 396885*d - 793767/2.
-3*(d + 1)*(d + 264589)/2
Factor 4*t**4 + 24744*t**3 + 74208*t**2 + 74200*t + 24732.
4*(t + 1)**3*(t + 6183)
Let 5*q**3 - 600*q**2 + 6085*q - 9810 = 0. What is q?
2, 9, 109
Factor -4*m**2/7 - 685856*m/7 - 29399903296/7.
-4*(m + 85732)**2/7
Solve -3*q**4/7 + 12*q**3/7 + 138*q**2/7 - 300*q/7 - 225 = 0 for q.
-5, -3, 5, 7
Find d, given that -1030*d**5/3 - 33794*d**4/3 - 88496*d**3/3 - 50296*d**2/3 - 160*d = 0.
-30, -2, -4/5, -1/103, 0
Find w such that -22*w**4 + 266*w**3 + 592*w**2 - 56*w = 0.
-2, 0, 1/11, 14
Find m such that m**2/5 - 2695256*m/5 + 1816101226384/5 = 0.
1347628
What is w in 3*w**4/8 + 2157*w**3/2 + 12933*w**2/4 + 6465*w/2 + 8619/8 = 0?
-2873, -1
Suppose -5*c**2/2 - 4265*c/2 + 2135 = 0. What is c?
-854, 1
Let -8*a**5 - 356*a**4 + 1456*a**3 + 5424*a**2 + 2304*a = 0. What is a?
-48, -2, -1/2, 0, 6
Suppose -2*o**2 + 912829*o - 456414 = 0. Calculate o.
1/2, 456414
Factor -2*c**3/13 + 866*c**2/13 - 31742*c/13 - 15195810/13.
-2*(c - 269)**2*(c + 105)/13
Let 84*x**3 - 90892*x**2 - 86644*x + 4332 = 0. Calculate x.
-1, 1/21, 1083
Factor 5*f**2 + 1045*f - 5350.
5*(f - 5)*(f + 214)
Determine n, given that 2*n**4/15 + 248*n**3/15 + 1246*n**2/3 = 0.
-89, -35, 0
Factor 3*y**4/2 - 1281*y**3 - 2565*y**2/2.
3*y**2*(y - 855)*(y + 1)/2
Factor 2197*a**5/4 + 187759*a**4/4 + 43173*a**3/2 + 3317*a**2 + 170*a.
a*(a + 85)*(13*a + 2)**3/4
Suppose 7*w**3 - 76389*w**2 + 130928*w + 43644 = 0. Calculate w.
-2/7, 2, 10911
Let 4*c**2/3 - 9440*c + 198044/3 = 0. Calculate c.
7, 7073
Suppose -2*z**5 + 62*z**4 - 318*z**3 + 450*z**2 = 0. What is z?
0, 3, 25
What is h in h**3/2 - 47*h**2/2 - 25*h + 48 = 0?
-2, 1, 48
Factor 4*v**3 + 316*v**2 + 4800*v + 14400.
4*(v + 4)*(v + 15)*(v + 60)
Find y, given that -2*y**4/7 + 14*y**3 - 508*y**2/7 - 3272*y/7 - 528 = 0.
-2, 11, 42
Determine d, given that 2*d**4/11 - 96190*d**3/11 - 2886900*d**2/11 - 28873000*d/11 - 8750000 = 0.
-10, 48125
Determine n, given that n**3 + 202*n**2 - 432*n - 4896 = 0.
-204, -4, 6
Suppose 2*m**5/3 - 41*m**4/6 - 61*m**3/6 + 263*m**2/6 + 159*m/2 + 33 = 0. Calculate m.
-2, -1, -3/4, 3, 11
Let 3*j**3/7 + 243063*j**2/7 + 703380915*j + 2109830247 = 0. What is j?
-40509, -3
Factor 5*x**2/4 + 55970*x + 626528180.
5*(x + 22388)**2/4
Suppose j**3 + 179*j**2 + 4424*j + 29596 = 0. What is j?
-151, -14
Find j, given that 20*j**5 - 745*j**4 - 4355*j**3 + 14995*j**2 + 14175*j - 4410 = 0.
-7, -1, 1/4, 3, 42
Suppose -m**4/8 + 5297*m**3/4 + 3*m**2/8 - 7945*m/2 - 5297/2 = 0. What is m?
-1, 2, 10594
Factor -2*l**3/15 + 170*l**2/3 - 564*l/5.
-2*l*(l - 423)*(l - 2)/15
Factor 2*t**2/17 - 840*t + 568000/17.
2*(t - 7100)*(t - 40)/17
Solve -16*w**4/13 + 174*w**3/13 - 138*w**2/13 - 20*w/13 = 0.
-1/8, 0, 1, 10
Factor p**2/8 + 3439*p/8 + 3437/4.
(p + 2)*(p + 3437)/8
Factor i**2/5 + 33242*i/5 + 199416/5.
(i + 6)*(i + 33236)/5
Let 2*m**2/7 - 8672*m/7 + 9400448/7 = 0. Calculate m.
2168
Suppose 1130*f**3/7 - 656*f**2 + 3678*f/7 - 216/7 = 0. Calculate f.
36/565, 1, 3
Factor z**2/3 - 988*z/3 + 2937.
(z - 979)*(z - 9)/3
Let -9*k**4/4 - 1605*k**3/4 - 67411*k**2/4 + 371525*k/4 - 75625 = 0. Calculate k.
-275/3, 1, 4
Factor 4*t**3 + 932*t**2 - 8632*t + 19360.
4*(t - 5)*(t - 4)*(t + 242)
Factor 2*z**5 - 4*z**4 + 4*z**2 - 2*z.
2*z*(z - 1)**3*(z + 1)
Factor 3*d**2 + 32625*d - 97902.
3*(d - 3)*(d + 10878)
Let m**2/4 - 389*m/2 + 3790 = 0. What is m?
20, 758
Factor 4*h**2 - 35696*h.
4*h*(h - 8924)
Determine y, given that 4*y**3/9 + 605192*y**2/9 + 2420720*y/9 + 2420704/9 = 0.
-151294, -2
Factor -2*m**3 - 1862*m**2 + 22658*m + 24518.
-2*(m - 13)*(m + 1)*(m + 943)
Factor 2*o**2 + 75894*o + 227664.
2*(o + 3)