/7 + 505*n/7 - 513/7 = 0. Calculate n.
-19, 1, 27
Let -15*f**4 + 266795*f**3 - 1689265*f**2 + 2933745*f - 800100 = 0. Calculate f.
1/3, 3, 17780
Factor 2916*d**4 + 3866724*d**3 + 1281926413*d**2 + 47474778*d + 439569.
(d + 663)**2*(54*d + 1)**2
Solve n**4 + 6754*n**3 + 11417625*n**2 + 45562500*n = 0 for n.
-3375, -4, 0
Factor 243*f**4/4 + 270*f**3 - 726*f**2 - 2280*f + 4332.
3*(f - 2)**2*(9*f + 38)**2/4
Determine t so that -3*t**2 - 222459*t + 444930 = 0.
-74155, 2
Solve 5*a**2 - 8485*a + 25410 = 0.
3, 1694
Let 4*b**3/7 - 9028*b**2/7 - 54924*b - 579348 = 0. Calculate b.
-21, 2299
Find o, given that 5*o**4/2 + 185*o**3/2 - 510*o**2 + 630*o = 0.
-42, 0, 2, 3
What is n in -2*n**4/17 + 34798*n**3/17 - 1216126*n**2/17 + 659866*n - 590376 = 0?
1, 17, 17364
Factor 2*s**2/21 + 40*s/3 + 2354/7.
2*(s + 33)*(s + 107)/21
Suppose w**5/6 + 185*w**4/6 + 9971*w**3/6 + 129787*w**2/6 + 67228*w - 90552 = 0. Calculate w.
-84, -11, -7, 1
Factor -3*c**2 + 852990*c - 60632661675.
-3*(c - 142165)**2
Determine c, given that -2*c**5/7 - 545*c**4/7 + 596*c**3 - 7825*c**2/7 + 600*c = 0.
-280, 0, 1, 3/2, 5
Suppose 2*f**5/3 - 182*f**4 + 39020*f**3/3 - 75300*f**2 - 1432942*f/3 - 389158 = 0. What is f?
-3, -1, 11, 133
Factor -415*s**3 - 1575*s**2.
-5*s**2*(83*s + 315)
Find a, given that -4*a**5 - 396*a**4 - 10460*a**3 + 6300*a**2 + 1782000*a = 0.
-45, -20, 0, 11
Suppose 4*r**3 - 7004*r**2 + 3041340*r + 21633948 = 0. What is r?
-7, 879
Let 8661*v**2 - 8667*v + 6 = 0. Calculate v.
2/2887, 1
Solve -c**3/2 + 213*c**2 - 5781*c/2 + 2678 = 0 for c.
1, 13, 412
Suppose -5*i**5 - 435*i**4 + 108795*i**3 - 216265*i**2 + 107910*i = 0. Calculate i.
-198, 0, 1, 109
Find v, given that -16*v**5 + 52364*v**4 - 143840*v**3 - 130976*v**2 + 575616*v - 313920 = 0.
-2, 3/4, 2, 3270
Factor -2*i**2 + 32320*i.
-2*i*(i - 16160)
Factor -x**4/3 - 4102*x**3/3 - 8196*x**2 - 49160*x/3 - 32768/3.
-(x + 2)**3*(x + 4096)/3
Solve -2*k**4 + 5792*k**3 - 23146*k**2 + 28924*k - 11568 = 0.
1, 2, 2892
Let 3*y**2/5 + 636*y - 28863/5 = 0. Calculate y.
-1069, 9
Solve 5*x**3 + 220*x**2 + 3005*x + 11970 = 0.
-19, -18, -7
Find x, given that -3*x**4/5 + 422*x**3/5 - 1459*x**2/5 - 6612*x/5 + 4932/5 = 0.
-3, 2/3, 6, 137
Factor 5*c**2 + 170735*c - 170740.
5*(c - 1)*(c + 34148)
Find x such that -5*x**5 + 60*x**4 + 835*x**3 - 4530*x**2 - 62300*x - 147000 = 0.
-6, -5, 14
Suppose -2*c**3/13 + 372*c**2/13 + 2624*c/13 - 61440/13 = 0. What is c?
-16, 10, 192
Factor 3*b**3 + 2235*b**2 - 25026*b - 58968.
3*(b - 13)*(b + 2)*(b + 756)
Factor 5*o**3 + 7020*o**2 - 149735*o - 156750.
5*(o - 22)*(o + 1)*(o + 1425)
Suppose 2*j**5/7 + 156*j**4/7 - 242*j**3 + 5728*j**2/7 - 7008*j/7 + 2816/7 = 0. What is j?
-88, 1, 4
What is s in -s**2/5 + 2902*s/5 = 0?
0, 2902
Factor j**2/3 + 998*j/3 + 664.
(j + 2)*(j + 996)/3
Solve 4*d**4 - 276*d**3 + 5316*d**2 - 33436*d + 28392 = 0 for d.
1, 13, 42
Factor i**2 - 960*i.
i*(i - 960)
Determine f, given that -49*f**4/5 + 1414*f**3/5 + 67611*f**2/5 - 58716*f/5 + 12636/5 = 0.
-26, 3/7, 54
Solve -c**2 - 486*c - 2880 = 0 for c.
-480, -6
Let 604*f**2 + 1280*f + 144 = 0. Calculate f.
-2, -18/151
Factor b**2/4 - 8555*b + 73188025.
(b - 17110)**2/4
Determine k so that -4*k**2/5 + 25772*k/5 + 25776/5 = 0.
-1, 6444
Determine j, given that -3*j**2/4 + 330513*j/4 + 82629 = 0.
-1, 110172
Determine z, given that 4*z**5 + 136*z**4 + 1468*z**3 + 7000*z**2 + 15232*z + 12160 = 0.
-19, -5, -4, -2
Factor -2*k**2/3 - 562*k/3 + 60424/3.
-2*(k - 83)*(k + 364)/3
Solve 5*r**2 - 1633740*r + 133455319380 = 0 for r.
163374
Solve 45*b**5 + 3095*b**4 + 48000*b**3 - 179300*b**2 + 154080*b - 25920 = 0 for b.
-36, 2/9, 1, 2
Factor 5*s**4 - 270*s**3 + 1365*s**2 + 4100*s - 24000.
5*(s - 48)*(s - 5)**2*(s + 4)
Determine r so that -20*r**4 + 476*r**3 + 22716*r**2 - 567356*r - 114376 = 0.
-34, -1/5, 29
Determine j so that 58*j**4/9 + 2996*j**3/3 + 11632*j**2/3 + 25060*j/9 - 302/3 = 0.
-151, -3, -1, 1/29
Suppose -2*n**5/3 - 112*n**4/3 - 1336*n**3/3 + 4096*n**2/3 + 4224*n = 0. What is n?
-36, -22, -2, 0, 4
Find u, given that -u**2/3 + 25606*u/3 + 25607/3 = 0.
-1, 25607
Determine q so that q**4 + 191*q**3 + 2527*q**2 + 8673*q = 0.
-177, -7, 0
Factor -2*q**4/13 + 93494*q**3/13 - 1092687750*q**2/13 + 1092594258*q/13.
-2*q*(q - 23373)**2*(q - 1)/13
Determine s, given that 52*s**4 + 4364*s**3 - 14428*s**2 - 44156*s + 3480 = 0.
-87, -2, 1/13, 5
Factor f**3 + 397*f**2 - 58486*f - 118552.
(f - 116)*(f + 2)*(f + 511)
Factor -5*s**3/2 - 2505*s**2/2 + 67665*s/2 - 445315/2.
-5*(s - 13)**2*(s + 527)/2
Suppose n**5 - 179*n**4 + 2680*n**3 - 11864*n**2 + 20944*n - 13040 = 0. What is n?
2, 10, 163
Let -2*g**3 + 5220*g**2 + 10446*g + 5224 = 0. What is g?
-1, 2612
Factor 2*z**2/9 + 520*z/3 - 20618/9.
2*(z - 13)*(z + 793)/9
Determine g so that g**5 + 10075*g**4 + 50353*g**3 + 30205*g**2 - 50354*g - 40280 = 0.
-10070, -4, -1, 1
Factor 218*p**2/7 - 638520*p/7 - 5858/7.
2*(p - 2929)*(109*p + 1)/7
Factor g**5/5 + 2169*g**4/5 + 545019*g**3/5 + 36536011*g**2/5.
g**2*(g + 139)**2*(g + 1891)/5
Let -k**3/2 - 3758*k**2 - 7061282*k = 0. What is k?
-3758, 0
Determine a, given that a**4/4 - 37*a**3/2 + 335*a**2 - 1126*a + 1056 = 0.
2, 22, 48
Suppose 2*g**2/5 + 458*g - 2300 = 0. What is g?
-1150, 5
Factor -2000*j**4/3 + 30200*j**3/3 - 53580*j**2 + 340186*j/3 - 207646/3.
-2*(j - 1)*(10*j - 47)**3/3
Solve 51*w**2 + 567*w + 1452 = 0 for w.
-121/17, -4
Factor 2*a**2/9 + 513322*a/9.
2*a*(a + 256661)/9
Suppose 14*t**5 + 1550*t**4 - 47794*t**3/7 + 58070*t**2/7 - 13792*t/7 + 920/7 = 0. Calculate t.
-115, 1/7, 2
Factor -3*a**2/4 + 10695*a + 21393.
-3*(a - 14262)*(a + 2)/4
Suppose -3*j**3 + 1893*j**2 + 11442*j + 15288 = 0. What is j?
-4, -2, 637
Find q, given that q**2/3 - 37306*q/3 + 49736 = 0.
4, 37302
Let -2*b**5/13 + 170*b**4/13 + 716*b**3/13 - 332*b**2/13 - 2154*b/13 + 1602/13 = 0. Calculate b.
-3, 1, 89
Solve -v**3 - 1088*v**2 - 50809*v + 105978 = 0.
-1039, -51, 2
Find o such that -5*o**2 - 99200*o + 1091805 = 0.
-19851, 11
Solve 4*u**2 + 864*u + 22320 = 0 for u.
-186, -30
Factor 28*b**2 + 11345060*b - 3241448.
4*(b + 405181)*(7*b - 2)
Solve -7*p**3/4 + 1423*p**2 + 27817*p/4 - 2045/2 = 0 for p.
-5, 1/7, 818
Factor -2*u**2/5 + 117472*u/5 - 1724958848/5.
-2*(u - 29368)**2/5
Suppose -4*b**2/9 + 16940*b/3 - 84600 = 0. Calculate b.
15, 12690
Factor -h**2 + 11898*h - 83237.
-(h - 11891)*(h - 7)
Suppose -31954*c**2/3 + 31942*c/3 + 4 = 0. Calculate c.
-6/15977, 1
Let -2*r**4/15 - 4454*r**3/5 - 13358*r**2/15 + 4454*r/5 + 2672/3 = 0. Calculate r.
-6680, -1, 1
Solve -k**2/3 - 95932*k/3 - 2300737156/3 = 0.
-47966
Factor -5*q**3 - 25*q**2 + 2365*q + 19665.
-5*(q - 23)*(q + 9)*(q + 19)
Find w, given that -80*w**5 - 2760*w**4 + 13515*w**3 - 20225*w**2 + 9750*w = 0.
-39, 0, 5/4, 2
Find b, given that -2*b**5 - 38*b**4 - 256*b**3 - 712*b**2 - 672*b = 0.
-7, -6, -4, -2, 0
Solve d**2 + 135*d + 3224 = 0 for d.
-104, -31
Factor 2*a**2 + 728828*a + 66398781698.
2*(a + 182207)**2
Factor -3*r**3/7 - 5037*r**2/7 - 5034*r/7.
-3*r*(r + 1)*(r + 1678)/7
Solve 2*h**5 + 104*h**4 + 1106*h**3 + 3684*h**2 + 3744*h = 0 for h.
-39, -8, -3, -2, 0
What is u in 2*u**2/9 + 45776*u/9 + 5086 = 0?
-22887, -1
Factor 2*u**4 + 310*u**3 + 1218*u**2 + 1514*u + 604.
2*(u + 1)**2*(u + 2)*(u + 151)
Solve -2*w**5/5 + 406*w**4 + 14282*w**3/5 + 26578*w**2/5 - 6096*w/5 - 36792/5 = 0.
-3, -2, 1, 1022
Find b such that 16*b**4 - 244*b**3 + 608*b**2 + 244*b - 624 = 0.
-1, 1, 13/4, 12
Factor -1218*a**3 - 148599*a**2 - 4532544*a - 11163.
-3*(a + 61)**2*(406*a + 1)
Suppose -2*c**5/3 - 6566*c**4 + 19714*c**3 + 295594*c**2/3 + 111660*c + 39408 = 0. Calculate c.
-9852, -1, 6
What is r in -269*r**5/5 + 430*r**4 + 16*r**3/5 = 0?
-2/269, 0, 8
Factor -3*l**2/2 + 5097*l/2 - 5091.
-3*(l - 1697)*(l - 2)/2
Let -2*h**4 + 216*h**3 - 1618*h**2 + 1764*h + 3600 = 0. Calculate h.
-1, 3, 6, 100
Factor u**2 - 705*u - 24354.
(u - 738)*(u + 33)
Let y**3/8 + 9237*y**2/8 + 9235*y/4 = 0. Calculate y.
-9235, -2, 0
Solve 2*w**4/5 + 12822*w**3/5 + 20607994*w**2/5 + 36830706*w - 450841644/5 = 0 for w.
-3201, -11, 2
Solve -3*u**3 + 2568*u**2 - 325965*u = 0 for u.
0, 155, 701
Let -4*m**5 + 1856*m**4/7 + 3392*m**3/7 - 1216*m**2 - 13120*m/7 + 4352/7 = 0. Calculate m.
-2, 2/7, 2, 68
Factor 4*g**2 - 308*g + 600.
4*(g - 75)*(g - 2)
Factor -a**2/7 - 2021*a/7.
-a*(a + 2021)/7
Let 2