, given that -2*d**5 - 982*d**4 - 39506*d**3 - 76074*d**2 - 37548*d = 0.
-447, -42, -1, 0
Solve -4*f**5/5 - 8*f**4 - 48*f**3/5 + 136*f**2/5 + 52*f/5 - 96/5 = 0.
-8, -3, -1, 1
Factor 4*z**2 + 67812*z - 678520.
4*(z - 10)*(z + 16963)
Solve 56*r**5 - 548*r**4 - 3256*r**3 - 672*r**2 = 0 for r.
-4, -3/14, 0, 14
Factor -z**3 - 5626*z**2 + 112820*z - 564600.
-(z - 10)**2*(z + 5646)
Factor 3*r**4 + 84*r**3 + 537*r**2 + 456*r.
3*r*(r + 1)*(r + 8)*(r + 19)
Factor 3*c**2 + 2106*c + 6291.
3*(c + 3)*(c + 699)
Determine v so that 4*v**2 + 6900*v + 82224 = 0.
-1713, -12
Solve 16*d**3/7 - 929186*d**2/7 + 13490474052*d/7 - 1686294738/7 = 0.
1/8, 29037
Factor -a**2/7 - 2088*a - 7629552.
-(a + 7308)**2/7
Factor 2*c**5/9 + 4388*c**4/9 - 8848*c**3.
2*c**3*(c - 18)*(c + 2212)/9
Factor 4*h**2 - 1632*h + 22064.
4*(h - 394)*(h - 14)
Find b such that -b**5/2 + 605*b**4 - 8439*b**3/2 + 10837*b**2 - 12034*b + 4812 = 0.
1, 2, 1203
Suppose 36*m**3/5 - 343*m**2/5 + 163*m = 0. What is m?
0, 163/36, 5
Factor -3*c**3 + 20979*c**2 - 62916*c + 41940.
-3*(c - 6990)*(c - 2)*(c - 1)
Determine y, given that -5*y**3/3 - 785*y**2/3 + 80*y/3 + 12560/3 = 0.
-157, -4, 4
What is y in -y**2/6 - 689*y/2 + 27209/3 = 0?
-2093, 26
Determine r, given that 2*r**3/5 - 3654*r**2/5 + 10944*r/5 = 0.
0, 3, 1824
Suppose -b**3 - 180*b**2 - 1859*b = 0. Calculate b.
-169, -11, 0
Factor 4*t**2 + 137592*t - 137596.
4*(t - 1)*(t + 34399)
Suppose 2*z**5/11 + 144*z**4/11 + 38*z**3 + 276*z**2/11 = 0. Calculate z.
-69, -2, -1, 0
Find b such that -2*b**4/21 - 11996*b**3/21 - 18011978*b**2/21 - 23968008*b/7 - 23952024/7 = 0.
-2997, -2
Solve -9*n**5/8 - 147*n**4/8 - 417*n**3/8 + 495*n**2/8 + 999*n/4 = 0.
-37/3, -3, 0, 2
Find s such that -4*s**5 + 908*s**4 - 57052*s**3 + 622820*s**2 - 1482592*s + 915920 = 0.
1, 2, 10, 107
Let 2*s**5 + 3138*s**4 - 18882*s**3 + 28358*s**2 + 12576*s - 37800 = 0. Calculate s.
-1575, -1, 2, 3
Find c, given that -2*c**4/3 + 110*c**2/3 - 60*c - 96 = 0.
-8, -1, 3, 6
What is u in 8*u**5 + 876*u**4/5 - 1808*u**3 - 5988*u**2/5 + 14112*u/5 = 0?
-147/5, -3/2, 0, 1, 8
Factor 2*p**2/5 + 3180*p + 6320250.
2*(p + 3975)**2/5
Determine p so that -p**4 + 790*p**3 + 74451*p**2 + 1622632*p - 1697872 = 0.
-44, 1, 877
Factor -a**3 - 8*a**2 + 1171*a + 1178.
-(a - 31)*(a + 1)*(a + 38)
Factor 4*o**3 + 44*o**2 + 160*o + 192.
4*(o + 3)*(o + 4)**2
Factor 3*f**3/7 + 342*f**2/7 + 7305*f/7 - 7650/7.
3*(f - 1)*(f + 30)*(f + 85)/7
Suppose 27*z**2 + 13226*z - 1960 = 0. Calculate z.
-490, 4/27
Factor -3*m**2/4 + 13867*m - 18489/4.
-(m - 18489)*(3*m - 1)/4
Factor 5*q**2 - 110110*q + 606210605.
5*(q - 11011)**2
Factor 5*b**2 - 5810*b - 11640.
5*(b - 1164)*(b + 2)
Factor 2*b**2 - 23104*b + 23102.
2*(b - 11551)*(b - 1)
Solve -3*i**3 + 129*i**2 + 70140*i + 347100 = 0 for i.
-130, -5, 178
Suppose w**5 - 44*w**4 + 29*w**3 + 3914*w**2 - 660*w - 73800 = 0. Calculate w.
-6, 5, 10, 41
Factor 2*n**3/9 + 268*n**2/3 + 802*n/9.
2*n*(n + 1)*(n + 401)/9
Factor -t**3/5 + 173067*t**2/5 - 7487960088*t/5 - 7488133156/5.
-(t - 86534)**2*(t + 1)/5
Let c**4 - 43*c**3 - 2833*c**2 + 116767*c + 374556 = 0. Calculate c.
-52, -3, 49
Factor 2*i**3 - 976*i**2 + 2910*i.
2*i*(i - 485)*(i - 3)
Determine f, given that -2*f**2/7 + 172*f/7 + 2574/7 = 0.
-13, 99
Find v, given that 2*v**4 - 18*v**3 - 2002*v**2 - 18702*v - 16720 = 0.
-19, -11, -1, 40
Factor b**2/4 - 2070*b + 4284900.
(b - 4140)**2/4
Suppose 2*d**2/11 - 108*d/11 - 16592/11 = 0. Calculate d.
-68, 122
Suppose -2*t**4 + 1628*t**3 - 382410*t**2 + 20028064*t - 38539480 = 0. Calculate t.
2, 70, 371
Find k, given that 3*k**2 - 2427*k - 91260 = 0.
-36, 845
Factor -3*q**2 - 585543*q + 1756656.
-3*(q - 3)*(q + 195184)
Solve 3*r**5 - 447*r**4 + 2187*r**3 - 3909*r**2 + 3030*r - 864 = 0 for r.
1, 2, 144
Solve 5*v**4 - 106630*v**3 - 106635*v**2 = 0 for v.
-1, 0, 21327
Determine r so that 28*r**5 + 87060*r**4 + 285664*r**3 - 273696*r**2 - 1143104*r - 298176 = 0.
-3106, -3, -2, -2/7, 2
Determine o, given that -5*o**5 - 305*o**4 + 125*o**3 + 7925*o**2 + 18480*o + 10980 = 0.
-61, -3, -2, -1, 6
Factor 3*l**5 + 816*l**4 + 52986*l**3 - 340272*l**2 + 521667*l.
3*l*(l - 3)**2*(l + 139)**2
Factor 5*f**3/4 + 3*f**2/2 - 1445*f/4 - 867/2.
(f - 17)*(f + 17)*(5*f + 6)/4
Find t, given that -4*t**3/7 - 5216*t**2 - 72976*t/7 + 292032/7 = 0.
-9126, -4, 2
Factor -2*j**3/3 + 1280*j**2/3 + 856*j.
-2*j*(j - 642)*(j + 2)/3
Find r, given that -8*r**5 + 44*r**4 + 352*r**3 + 116*r**2 - 344*r - 160 = 0.
-4, -1, -1/2, 1, 10
Factor -5*d**3 + 13590*d**2.
-5*d**2*(d - 2718)
Factor 2*j**3/3 + 1198*j**2/3 + 4720*j + 14088.
2*(j + 6)**2*(j + 587)/3
Suppose -60*l**5 + 364*l**4 + 216*l**3 - 1456*l**2 + 96*l = 0. What is l?
-2, 0, 1/15, 2, 6
Factor -3*y**2 - 9593*y + 3198.
-(y + 3198)*(3*y - 1)
Factor -v**4 - 113*v**3 - 1496*v**2 - 2548*v.
-v*(v + 2)*(v + 13)*(v + 98)
Suppose -2*t**4/7 - 29314*t**3/7 - 15430308*t**2 - 625447872*t + 640882368 = 0. What is t?
-7308, -42, 1
Factor 2*b**3/5 + 578*b**2/5 + 5056*b/5 + 896.
2*(b + 1)*(b + 8)*(b + 280)/5
Let -50*c**2 - 1785*c - 8550 = 0. What is c?
-30, -57/10
Solve 4*h**3/5 - 168*h**2/5 + 1152*h/5 + 13824/5 = 0.
-6, 24
Factor -2*f**2 + 8630*f - 171800.
-2*(f - 4295)*(f - 20)
Determine q so that -7*q**5/2 + 5343*q**4/2 - 8743*q**3 + 2280*q**2 = 0.
0, 2/7, 3, 760
Factor -4*t**2 - 700*t + 3600.
-4*(t - 5)*(t + 180)
What is s in -4*s**5 + 928*s**4 - 46520*s**3 - 901072*s**2 + 3261468*s + 4115088 = 0?
-17, -1, 4, 123
Let -n**5/10 - 23*n**4/5 + 44*n**3/5 + 1019*n**2/5 + 5289*n/10 + 1692/5 = 0. Calculate n.
-47, -3, -1, 8
Factor 5*g**2 - 60*g + 175.
5*(g - 7)*(g - 5)
Let -31798321*m**3/3 + 31730653*m**2/3 + 22544*m + 12 = 0. What is m?
-6/5639, 1
Let -297*m**5 + 23748*m**4 - 153765*m**3 + 209598*m**2 + 15012*m - 8760 = 0. What is m?
-2/9, 2/11, 2, 5, 73
What is a in 35*a**5 + 24405*a**4 + 5682850*a**3 + 444324080*a**2 + 563537280*a + 124871680 = 0?
-232, -1, -2/7
Find m such that -2*m**5/9 + 1264*m**4/9 + 2140*m**3 + 96800*m**2/9 + 161750*m/9 = 0.
-5, 0, 647
Suppose 3*s**5 + 87*s**4 + 138*s**3 - 2316*s**2 + 4584*s - 2496 = 0. What is s?
-26, -8, 1, 2
Determine o, given that -2*o**4 + 936*o**3 + 64236*o**2 - 51595432*o + 51530262 = 0.
-219, 1, 343
Suppose i**5 - 8027*i**4 + 16120219*i**3 - 48312505*i**2 + 48296456*i - 16096144 = 0. Calculate i.
1, 4012
Solve 2*i**3/3 - 416*i**2/3 + 13592*i/3 - 38080 = 0 for i.
14, 24, 170
What is t in t**4/2 + 51*t**3/2 - 83*t**2 - 108*t = 0?
-54, -1, 0, 4
Find k, given that -4*k**2 + 120404*k = 0.
0, 30101
Factor i**3/5 + 566*i**2/5 - 2849*i/5 + 3426/5.
(i - 3)*(i - 2)*(i + 571)/5
Solve -2*f**4/9 + 3020*f**3/9 - 254974*f**2/3 - 33778888*f + 33863544 = 0.
-207, 1, 858
Factor -o**3/6 - 92*o**2 - 4877*o/6 + 905.
-(o - 1)*(o + 10)*(o + 543)/6
Suppose 212*h**3 - 213500*h**2 + 442232*h - 32160 = 0. What is h?
4/53, 2, 1005
Suppose d**5/4 + 4740*d**4 + 113733*d**3/4 + 85291*d**2/2 - 18957*d - 56862 = 0. What is d?
-18954, -3, -2, 1
What is u in 10*u**4/13 - 4232*u**3/13 + 820*u**2/13 + 11016*u/13 - 7614/13 = 0?
-9/5, 1, 423
Factor -3*d**3/4 - 1557*d**2 - 3226095*d/4 + 3238563/2.
-3*(d - 2)*(d + 1039)**2/4
Suppose 28596*i**2 + 57195*i + 6 = 0. What is i?
-2, -1/9532
Suppose -3*k**5/2 + 45*k**4/2 + 3027*k**3/2 + 25239*k**2/2 - 1512*k - 12642 = 0. What is k?
-14, -1, 1, 43
Suppose -z**3/6 - 61*z**2/2 + 4825*z/6 - 9867/2 = 0. What is z?
-207, 11, 13
Suppose 300*n**5 + 23985*n**4 - 349932*n**3 + 574431*n**2 - 297756*n + 48972 = 0. What is n?
-371/4, 2/5, 1, 11
Factor -4*u**3 - 845472*u**2 - 44676431424*u.
-4*u*(u + 105684)**2
Determine q so that -3*q**3/5 - 213*q**2/5 + 1506*q/5 + 1848 = 0.
-77, -4, 10
Suppose -v**5/5 - 28*v**4/5 + 1627*v**3/5 - 8318*v**2/5 - 103932*v/5 - 18792 = 0. Calculate v.
-58, -5, -1, 18
Solve 5*k**4/4 - 1055*k**3/2 + 57200*k**2 - 324480*k = 0.
0, 6, 208
Find r, given that -5*r**2 - 1677420*r - 140686892820 = 0.
-167742
Factor 2270895507*n**4 + 330156*n**3 + 12*n**2.
3*n**2*(27513*n + 2)**2
Factor 2*i**3/17 - 7492*i**2/17.
2*i**2*(i - 3746)/17
Determine d so that 5*d**4 + 27*d**3 - 14530*d**2 - 20376*d - 5824 = 0.
-56, -1, -2/5, 52
Find n, given that 2*n**2/3 - 62926*n + 755080/3 = 0.
4, 94385
Determine r so that r**2/5 + 26*r - 4056/5 = 0.
-156, 26
Factor 9*l**2 - 849*l - 13650.
3*(l + 14)*(3*l - 325)
Factor -2*s**3/3 + 5098*s**2.
-2*s**2*(s - 7647)/3
Sol