456)/2
Let 2*w**4/21 + 4024*w**3/21 + 8030*w**2/7 + 36116*w/21 + 16048/21 = 0. Calculate w.
-2006, -4, -1
Determine k so that 5*k**4 - 110*k**3 + 800*k**2 - 2370*k + 2475 = 0.
3, 5, 11
Find d such that d**3 - 1354*d**2 + 5395*d + 6750 = 0.
-1, 5, 1350
Factor -i**3/4 - 2985*i**2/4 + 4481*i/2 - 1494.
-(i - 2)*(i - 1)*(i + 2988)/4
Solve a**5/3 + 131*a**4/3 + 755*a**3/3 + 625*a**2/3 = 0.
-125, -5, -1, 0
Solve -3*p**5 - 1812*p**4 + 5454*p**3 - 5460*p**2 + 1821*p = 0 for p.
-607, 0, 1
Solve m**4/2 + 33*m**3/2 - 361*m**2/2 - 1353*m/2 = 0 for m.
-41, -3, 0, 11
Suppose -2*b**2 + 217424*b + 434856 = 0. Calculate b.
-2, 108714
Find s, given that -2*s**4 - 286*s**3 + 220834*s**2 + 221118*s = 0.
-411, -1, 0, 269
Factor m**5/2 - 65*m**4/2 - 201*m**3/2 - 203*m**2/2 - 34*m.
m*(m - 68)*(m + 1)**3/2
Factor 2*f**2 + 25824*f + 83359872.
2*(f + 6456)**2
Let -2*u**3/3 + 38*u**2/3 + 880*u/3 - 5600 = 0. Calculate u.
-21, 20
Determine r so that -2*r**4/3 - 4958*r**3/3 - 1462104*r**2 - 529242336*r - 60779424384 = 0.
-756, -211
Let -2*o**5 + 217364*o**4 + 434734*o**3 + 217368*o**2 = 0. Calculate o.
-1, 0, 108684
Suppose -669*z**5 + 663*z**4 + 28773*z**3 - 56607*z**2 + 27588*z + 252 = 0. Calculate z.
-7, -2/223, 1, 6
Factor i**3/5 - 9*i**2/5 - 3054*i/5 + 6136/5.
(i - 59)*(i - 2)*(i + 52)/5
What is c in c**2/4 + 5*c/4 - 25/2 = 0?
-10, 5
Factor 2*a**2 + 38086*a + 114240.
2*(a + 3)*(a + 19040)
Factor -j**2/6 - 126475*j/3 - 15995925625/6.
-(j + 126475)**2/6
Determine t so that 3*t**3 + 1422*t**2 + 11205*t + 9786 = 0.
-466, -7, -1
Factor 2*n**3 - 992*n**2 - 5002*n - 4008.
2*(n - 501)*(n + 1)*(n + 4)
Factor -4*x**3/7 - 231292*x**2/7 - 1387644*x/7 - 2081412/7.
-4*(x + 3)**2*(x + 57817)/7
Determine q so that 10*q**4/3 - 13004*q**3/3 + 5200*q**2/3 = 0.
0, 2/5, 1300
Solve 2*c**4/5 + 206*c**3/5 - 40812*c**2/5 + 1770344*c/5 - 23814448/5 = 0 for c.
-217, 38
Factor 2*f**3/5 + 1672*f**2/5 + 315514*f/5 - 14513644/5.
2*(f - 38)*(f + 437)**2/5
Factor d**3 - 173*d**2 + 3927*d - 15435.
(d - 147)*(d - 21)*(d - 5)
Solve -p**4 + 12*p**3 - 29*p**2 - 42*p = 0 for p.
-1, 0, 6, 7
Determine k, given that -k**2 + 3944*k + 63360 = 0.
-16, 3960
Find l, given that 27*l**5 + 2790*l**4 - 7656*l**3 - 2448*l**2 + 10224*l + 5088 = 0.
-106, -2/3, 2
What is g in -5*g**4 + 687*g**3 + 1846*g**2 - 3648*g + 1120 = 0?
-4, 2/5, 1, 140
Let -m**5/8 - 106*m**4 - 167257*m**3/8 + 2711673*m**2/4 + 2836269*m/2 + 719415 = 0. Calculate m.
-438, -1, 30
Factor y**5 - 199*y**4 + 8739*y**3 + 116235*y**2 + 264600*y.
y*(y - 105)**2*(y + 3)*(y + 8)
Factor 5*u**2 + 8186590*u + 3351012791405.
5*(u + 818659)**2
Factor 4*m**2 + 509072*m.
4*m*(m + 127268)
Find i, given that -123*i**3/7 + 2741*i**2 + 58827*i/7 + 477/7 = 0.
-3, -1/123, 159
Let -x**3/4 + 1647*x**2/2 + 3297*x + 3298 = 0. Calculate x.
-2, 3298
Find s, given that s**2/5 + 190244*s/5 + 9048194884/5 = 0.
-95122
Factor 48*r**5 + 202*r**4 + 318*r**3 + 222*r**2 + 58*r.
2*r*(r + 1)**3*(24*r + 29)
Solve t**2 - 12916*t + 41705764 = 0.
6458
Determine w, given that -10*w**5 + 2418*w**4 - 122526*w**3 - 2856002*w**2 - 14255280*w - 2737800 = 0.
-9, -1/5, 130
Suppose -2*j**3/5 - 1094*j**2/5 - 26048*j/5 + 27144/5 = 0. Calculate j.
-522, -26, 1
Determine a so that -2*a**2/3 - 36448*a/3 - 97152 = 0.
-18216, -8
Suppose -5*j**2 - 1078620*j - 58171055220 = 0. What is j?
-107862
Find o such that -5*o**3 - 1710*o**2 - 50875*o - 395250 = 0.
-310, -17, -15
Find b such that b**3/6 + 216*b**2 - 7938*b + 71928 = 0.
-1332, 18
Find v, given that -4455*v**5/2 + 89955*v**4/4 - 1805*v**3 - 13085*v**2/4 - 535*v - 25 = 0.
-2/11, -1/9, 1/2, 10
Find n, given that n**5 - 198*n**4 + 1526*n**3 - 1100*n**2 - 7575*n - 4750 = 0.
-1, 5, 190
Solve 2*z**3 + 304*z**2 + 2554*z - 2860 = 0.
-143, -10, 1
Find n such that -2*n**3/13 + 39972*n**2/13 - 199720098*n/13 = 0.
0, 9993
Factor 4*i**5 + 5080*i**4 + 20280*i**3 + 30400*i**2 + 20260*i + 5064.
4*(i + 1)**4*(i + 1266)
What is j in 18*j**5/19 + 12874*j**4/19 + 204694*j**3/19 + 21578*j**2 + 257288*j/19 + 39144/19 = 0?
-699, -14, -1, -2/9
Solve -18*b**5/19 + 1336*b**4/19 - 21266*b**3/19 - 126668*b**2/19 - 138648*b/19 + 37296/19 = 0.
-3, -2, 2/9, 37, 42
Let 2*t**5/5 + 20*t**4 - 216*t**3/5 - 412*t**2/5 + 214*t/5 + 312/5 = 0. What is t?
-52, -1, 1, 3
Factor 562*i**4 + 1256*i**3 + 826*i**2 + 132*i.
2*i*(i + 1)**2*(281*i + 66)
Factor -o**3 - 21945*o**2 - 789048*o - 7098516.
-(o + 18)**2*(o + 21909)
Factor 58342054681*o**2/7 - 966164*o/7 + 4/7.
(241541*o - 2)**2/7
Let -4*s**4 + 24732*s**3 + 16*s**2 - 98928*s = 0. What is s?
-2, 0, 2, 6183
Solve -2*j**5 + 248*j**4 - 9096*j**3 + 80900*j**2 + 109450*j - 181500 = 0 for j.
-2, 1, 15, 55
Suppose 54*z**4/7 + 138*z**3 - 148*z**2/7 - 104*z - 144/7 = 0. What is z?
-18, -2/3, -2/9, 1
Solve 4*o**4 - 188*o**3 + 1128*o**2 - 160*o - 6400 = 0.
-2, 4, 5, 40
Factor g**2 + 28312*g.
g*(g + 28312)
Determine m so that m**5 - 23*m**4 - 68*m**3 + 3456*m**2 - 9216*m = 0.
-12, 0, 3, 16
Factor -4*m**2 + 60900*m - 60896.
-4*(m - 15224)*(m - 1)
Suppose 5*d**4 + 1760*d**3 - 12510*d**2 + 19720*d - 8975 = 0. Calculate d.
-359, 1, 5
Factor v**5/5 - 149*v**4/5 + 4846*v**3/5 + 10386*v**2 + 164241*v/5 + 168507/5.
(v - 79)**2*(v + 3)**3/5
Factor -2*d**5/7 + 218*d**4/7 - 610*d**3 - 96746*d**2/7.
-2*d**2*(d - 61)**2*(d + 13)/7
Factor 2*v**4 + 50106*v**3 + 418635438*v**2 + 1168127609294*v + 13957334350152.
2*(v + 12)*(v + 8347)**3
Suppose 5*t**4 + 365*t**3 - 5955*t**2 - 30965*t + 36550 = 0. What is t?
-86, -5, 1, 17
Find p, given that -3*p**3 - 312*p**2 - 603*p + 918 = 0.
-102, -3, 1
Factor 4*n**3 - 460*n**2 + 13452*n - 12996.
4*(n - 57)**2*(n - 1)
Suppose 2*x**2/3 - 18788*x + 132370854 = 0. What is x?
14091
Find s such that -3*s**2/4 - 435*s/4 + 94689/2 = 0.
-334, 189
Factor -3*l**2 - 5556*l - 33228.
-3*(l + 6)*(l + 1846)
Solve -h**2/6 - 1931*h/3 + 3865/2 = 0.
-3865, 3
Let 3*g**2 + 159228*g + 636864 = 0. What is g?
-53072, -4
Suppose -20*h**3 + 243895*h**2 - 182910*h = 0. What is h?
0, 3/4, 12194
Factor w**4 + 49280*w**3 + 809489706*w**2 + 4431956107496*w - 4432765646483.
(w - 1)*(w + 16427)**3
Find a, given that -2*a**3 + 1234*a**2 - 25910*a - 160650 = 0.
-5, 27, 595
Suppose -2*d**2 - 556*d - 28560 = 0. Calculate d.
-210, -68
Factor 30*s**3 + 116*s**2 - 976*s + 128.
2*(s - 4)*(s + 8)*(15*s - 2)
Solve -4*j**5 + 120652*j**4 + 12*j**3 - 361964*j**2 + 241304*j = 0.
-2, 0, 1, 30163
Suppose 14*i**5 - 1284*i**4 - 16846*i**3 + 223212*i**2 - 314728*i - 108528 = 0. Calculate i.
-19, -2/7, 2, 7, 102
Factor -4728*f**2 + 18909*f + 12.
-3*(f - 4)*(1576*f + 1)
Factor -3844*o**3 + 103416*o**2 + 6580764*o + 63160560.
-4*(o - 60)*(31*o + 513)**2
Factor g**2/6 - 791*g/3 - 1585/2.
(g - 1585)*(g + 3)/6
Solve 5*d**2 + 35015*d + 70010 = 0.
-7001, -2
Factor 76*d**4 - 356*d**3 - 1184*d**2 - 336*d.
4*d*(d - 7)*(d + 2)*(19*d + 6)
What is m in -5*m**5 + 190*m**4 + 6060*m**3 - 307350*m**2 + 2822985*m - 5880600 = 0?
-40, 3, 9, 33
Factor 4*r**2 - 10504*r + 595776.
4*(r - 2568)*(r - 58)
Solve 195*c**5 - 16452*c**4 + 9528*c**3 + 22986*c**2 - 9723*c - 6534 = 0 for c.
-1, -2/5, 1, 1089/13
Factor -a**2/5 - 1861*a/5 + 1862/5.
-(a - 1)*(a + 1862)/5
Factor 2*j**2 + 4048*j.
2*j*(j + 2024)
Determine s, given that -11*s**5/2 - 58*s**4 - 74*s**3 + 31*s**2 + 159*s/2 + 27 = 0.
-9, -1, -6/11, 1
Determine j so that j**4/5 + 73193*j**3/5 + 1339194018*j**2/5 - 803618884*j + 2678827208/5 = 0.
-36598, 1, 2
Factor -r**3 + 146*r**2 + 6615*r - 89100.
-(r - 180)*(r - 11)*(r + 45)
What is q in -40*q**3 + 3002*q**2 + 15850*q - 800 = 0?
-5, 1/20, 80
Determine p, given that -2*p**3/11 + 702*p**2/11 - 22680*p/11 = 0.
0, 36, 315
Solve 1448*x**4 + 2337*x**3 - 3827*x**2 + 42*x = 0 for x.
-21/8, 0, 2/181, 1
Solve -h**2/3 - 8*h/3 + 828 = 0 for h.
-54, 46
Factor -k**4/3 + 329*k**3/3 - 8965*k**2 - 9075*k.
-k*(k - 165)**2*(k + 1)/3
Determine m so that -m**2 + 1120*m - 26304 = 0.
24, 1096
Solve -2*t**5/3 - 368*t**4/3 - 3248*t**3 - 78976*t**2/3 - 210592*t/3 - 59136 = 0 for t.
-154, -18, -8, -2
Determine f, given that 2*f**2/23 - 50326*f/23 - 50328/23 = 0.
-1, 25164
Factor -5*l**4/4 + 1085*l**3/4 - 2155*l**2/4 + 1075*l/4.
-5*l*(l - 215)*(l - 1)**2/4
Let 4*d**5/7 + 116*d**4/7 + 508*d**3/7 + 684*d**2/7 + 288*d/7 = 0. Calculate d.
-24, -3, -1, 0
Factor -t**3/5 - 276*t**2/5 - 2431*t.
-t*(t + 55)*(t + 221)/5
Suppose -2*o**2/17 + 63084*o -