*q**2 + 8182*q - 4704.
(q - 98)*(q - 16)*(5*q - 3)
Factor 4*z**3 + 112*z**2 + 764*z + 1520.
4*(z + 4)*(z + 5)*(z + 19)
Factor 3*c**2/5 + 90012*c/5 + 675180012/5.
3*(c + 15002)**2/5
Factor 3*z**4 - 1080*z**3 + 4257*z**2 + 5340*z.
3*z*(z - 356)*(z - 5)*(z + 1)
Factor -3*w**5 - 93*w**4 + 153765*w**3 - 16754775*w**2 + 526919250*w.
-3*w*(w - 85)**3*(w + 286)
Solve -3*a**2/5 - 31086*a/5 + 31089/5 = 0.
-10363, 1
Factor 2*b**2 - 6066*b + 449464.
2*(b - 2957)*(b - 76)
Factor 2*m**3 + 5202*m**2 + 36328*m + 31128.
2*(m + 1)*(m + 6)*(m + 2594)
What is j in j**2/3 - 1658*j/3 - 43784/3 = 0?
-26, 1684
Factor 2*u**2/7 + 85672*u/7 + 917461448/7.
2*(u + 21418)**2/7
Factor -2*a**2/7 + 7870*a/7 - 55500.
-2*(a - 3885)*(a - 50)/7
Solve 3*s**4/4 + 765*s**3/4 + 567*s**2 = 0 for s.
-252, -3, 0
What is o in 2*o**4/11 + 364*o**3/11 + 9894*o**2/11 + 8812*o/11 - 19072/11 = 0?
-149, -32, -2, 1
Determine y, given that -3*y**3 - 51*y**2 + 600*y = 0.
-25, 0, 8
Suppose -2*j**2/5 - 924*j - 27648/5 = 0. Calculate j.
-2304, -6
Suppose 2*h**3/3 - 318*h**2 - 638*h - 958/3 = 0. Calculate h.
-1, 479
Factor -3*r**4 - 1026*r**3 + 32580*r**2 - 331800*r + 1116000.
-3*(r - 10)**3*(r + 372)
Find t such that -69*t**2 - 691*t/5 - 2/5 = 0.
-2, -1/345
Let -w**3 + 5*w**2 + 112*w + 196 = 0. Calculate w.
-7, -2, 14
Suppose -8*z**3 + 772*z**2 + 37632*z - 19008 = 0. What is z?
-36, 1/2, 132
Factor -2*z**3 + 286*z**2 + 580*z.
-2*z*(z - 145)*(z + 2)
Factor -8060400*i**3 - 1344840*i**2 - 56215*i - 10.
-5*(12*i + 1)**2*(11195*i + 2)
Factor 2*d**3/5 + 2408*d**2/5 - 482*d.
2*d*(d - 1)*(d + 1205)/5
Solve 2*x**3/9 + 22*x**2/3 - 728*x/9 + 392/3 = 0.
-42, 2, 7
Factor s**3/4 - 9885*s**2/4 + 39492*s - 157904.
(s - 9869)*(s - 8)**2/4
Find k, given that -4*k**5 + 192*k**4 - 2900*k**3 + 19032*k**2 - 55152*k + 54432 = 0.
2, 6, 7, 27
Factor n**3/2 - 12841*n**2/2 + 20614620*n - 20608200.
(n - 6420)**2*(n - 1)/2
Factor i**2/4 - 140*i + 59631/4.
(i - 417)*(i - 143)/4
Solve 9*l**2 - 857571*l - 285858 = 0 for l.
-1/3, 95286
Find z, given that -z**4 + 25*z**3 - 3*z**2 - 1849*z - 1820 = 0.
-7, -1, 13, 20
Find i, given that -4*i**2 + 63280*i + 253184 = 0.
-4, 15824
Factor -3*w**2 - 23403*w - 93564.
-3*(w + 4)*(w + 7797)
Factor p**3/3 + 67100*p**2 - 268404*p + 805216/3.
(p - 2)**2*(p + 201304)/3
Determine b, given that 134*b**3/5 - 5222*b**2/5 - 73856*b/5 - 440 = 0.
-11, -2/67, 50
Let -j**2/4 + 3998*j - 15984004 = 0. Calculate j.
7996
Determine c, given that c**2 + 869*c - 7016 = 0.
-877, 8
Find a, given that -4*a**5 + 476*a**4 + 988*a**3 - 2396*a**2 - 2904*a = 0.
-3, -1, 0, 2, 121
Factor -3*p**2 + 327*p + 124020.
-3*(p - 265)*(p + 156)
Determine t, given that t**4/4 + 1043*t**3/2 - 8392*t**2 + 33632*t = 0.
-2102, 0, 8
Factor 2*p**3/13 + 270*p**2/13 + 792*p/13.
2*p*(p + 3)*(p + 132)/13
Factor -5*g**2 + 1140*g - 49300.
-5*(g - 170)*(g - 58)
Solve 36*y**2 + 16551640*y - 3678144 = 0 for y.
-459768, 2/9
Factor -4*r**2 + 408956*r.
-4*r*(r - 102239)
Let -24*h**2 - 40911*h - 81726 = 0. What is h?
-13621/8, -2
What is h in -22*h**2/23 - 689438*h/23 + 689460/23 = 0?
-344730/11, 1
Determine y, given that -y**2/3 + 225*y - 8606/3 = 0.
13, 662
Find k, given that 6*k**4/11 + 66*k**3 + 18450*k**2/11 - 39102*k/11 + 19920/11 = 0.
-83, -40, 1
Factor 3*g**4/2 + 5874*g**3 - 88335*g**2 + 442050*g - 1474125/2.
3*(g - 5)**3*(g + 3931)/2
Suppose 5*j**2 - 44030*j + 395865 = 0. What is j?
9, 8797
Factor -f**2 - 152330*f.
-f*(f + 152330)
Determine j so that -j**3/6 + 23*j**2/6 + 227*j/2 - 741/2 = 0.
-19, 3, 39
Find w, given that 4*w**5/5 + 182*w**4/5 - 696*w**3/5 - 434*w**2/5 + 544*w - 1176/5 = 0.
-49, -2, 1/2, 2, 3
Factor k**4 - 175*k**3 - k**2 + 175*k.
k*(k - 175)*(k - 1)*(k + 1)
Factor 4*v**3 - 1004*v**2 - 4100*v + 5100.
4*(v - 255)*(v - 1)*(v + 5)
What is z in 2*z**5 + 291*z**4/2 - 3517*z**3/2 + 6899*z**2 - 11310*z + 6700 = 0?
-335/4, 2, 5
Factor -110299*t**3 + 882393*t**2/4 - 220599*t/2 + 1/4.
-(t - 1)**2*(441196*t - 1)/4
Find x, given that -4*x**2 + 16568*x - 33120 = 0.
2, 4140
Suppose 2*d**5/9 - 24*d**4 + 128*d**3 + 7264*d**2/9 + 2720*d/3 = 0. Calculate d.
-2, 0, 10, 102
Factor -2*a**2/5 + 8596*a/5 + 3440.
-2*(a - 4300)*(a + 2)/5
Find a, given that 3*a**4 - 11361*a**3/4 + 19803*a**2/4 + 39681*a/4 + 8505/4 = 0.
-1, -1/4, 3, 945
Factor 21*d**5 - 62628*d**4 + 46702593*d**3 - 13338486*d**2.
3*d**2*(d - 1491)**2*(7*d - 2)
Let -7*k**5/3 - 59*k**4/3 + 97*k**3 - 39*k**2 - 36*k = 0. Calculate k.
-12, -3/7, 0, 1, 3
Factor t**4/2 - 83*t**3/2 + 1185*t**2 - 13050*t + 40500.
(t - 30)**2*(t - 18)*(t - 5)/2
Factor 4*v**2/7 + 516392*v/7 + 16666293604/7.
4*(v + 64549)**2/7
Determine n so that -38*n**3/13 - 4270*n**2/13 + 213108*n/13 - 208800/13 = 0.
-150, 1, 696/19
Factor -f**3/4 - 905*f**2 + 3623*f - 3624.
-(f - 2)**2*(f + 3624)/4
Solve 2*z**2/5 - 10496*z/5 - 4200 = 0 for z.
-2, 5250
Determine k, given that -209*k**5/6 + 211*k**4/6 + 1253*k**3/3 + 406*k**2/3 - 1676*k/3 + 16/3 = 0.
-2, 2/209, 1, 4
Determine x so that 25*x**5 - 1540*x**4 + 16490*x**3 - 7820*x**2 - 16515*x + 9360 = 0.
-1, 3/5, 1, 13, 48
Find l, given that -4*l**4 - 192*l**3 - 2708*l**2 - 7896*l + 28224 = 0.
-21, -8, 2
Let 7*q**4/3 + 26227*q**3/3 + 32446*q**2 + 74852*q/3 - 29944/3 = 0. What is q?
-3743, -2, 2/7
Solve -3*c**3 - 1221*c**2 - 23520*c - 116100 = 0 for c.
-387, -10
Factor 4*m**5 - 228*m**4 + 2216*m**3 + 19088*m**2 + 42144*m + 29440.
4*(m - 40)*(m - 23)*(m + 2)**3
Find n such that 3*n**2 + 226320*n + 226317 = 0.
-75439, -1
Suppose 5*q**2 + 60080*q - 120180 = 0. What is q?
-12018, 2
Determine t so that t**3/6 - 12931*t**2/6 - 25865*t/6 - 4311/2 = 0.
-1, 12933
Suppose 179*h**5/7 + 1609*h**4/7 + 739*h**3 + 989*h**2 + 3144*h/7 - 36/7 = 0. What is h?
-3, -2, -1, 2/179
Factor -n**2/3 + 3137*n - 9410/3.
-(n - 9410)*(n - 1)/3
Factor -s**3 - 2843*s**2 - 5683*s - 2841.
-(s + 1)**2*(s + 2841)
Find u such that 6*u**2/7 - 26730*u/7 - 1078800/7 = 0.
-40, 4495
Factor -3*u**4/5 - 498*u**3/5 - 21627*u**2/5 - 78732*u/5.
-3*u*(u + 4)*(u + 81)**2/5
Solve 5*x**4 + 25075*x**3 - 5*x**2 - 25075*x = 0 for x.
-5015, -1, 0, 1
What is o in -o**2 - 6620*o + 79584 = 0?
-6632, 12
Find t, given that 4*t**5/7 - 64*t**4/7 + 136*t**3/7 + 1856*t**2/7 - 884*t - 1120 = 0.
-5, -1, 7, 8
Let -z**2/6 + 181*z/6 + 707 = 0. What is z?
-21, 202
Let -r**3/5 - 808*r**2/5 - 160213*r/5 - 9369906/5 = 0. What is r?
-546, -131
Factor -4*t**2/3 - 16088*t/3.
-4*t*(t + 4022)/3
Find l, given that -3*l**5 + 173*l**4 + 182*l**3/3 - 460*l**2/3 - 232*l/3 = 0.
-2/3, 0, 1, 58
Solve 4*p**3/5 + 1256*p**2/5 + 7424*p/5 + 9856/5 = 0 for p.
-308, -4, -2
Factor 3*v**2 - 37182*v - 148776.
3*(v - 12398)*(v + 4)
Factor -2*f**4 + 68*f**3 + 510*f**2 - 1000*f - 8000.
-2*(f - 40)*(f - 4)*(f + 5)**2
Determine n, given that -4*n**4/3 - 40*n**3 - 172*n**2 - 400*n/3 = 0.
-25, -4, -1, 0
Let 2*b**3/7 + 7272*b**2/7 - 14550*b/7 + 7276/7 = 0. Calculate b.
-3638, 1
Factor 22*c**2 - 79812*c - 14512.
2*(c - 3628)*(11*c + 2)
What is w in 9*w**4/7 + 44*w**3/7 - 11*w**2/7 - 146*w/7 + 104/7 = 0?
-4, -26/9, 1
Factor -g**3/8 - 4435*g**2/8 + 26637*g/8 - 39969/8.
-(g - 3)**2*(g + 4441)/8
Let -15*p**3 + 286390*p**2/3 - 455694220*p/3 + 101251240/3 = 0. What is p?
2/9, 3182
Factor -5*z**3 - 170*z**2 - 975*z - 810.
-5*(z + 1)*(z + 6)*(z + 27)
Factor -3*w**2 + 1797*w - 173514.
-3*(w - 478)*(w - 121)
Suppose -9*w**2/4 - 806901*w/2 + 268968 = 0. Calculate w.
-179312, 2/3
Factor 2*b**3/15 - 188*b**2/15 + 1926*b/5 - 3888.
2*(b - 40)*(b - 27)**2/15
Find q such that -3*q**4 + 14304*q**3 + 128955*q**2 + 114648*q = 0.
-8, -1, 0, 4777
Factor m**2 + 116649*m - 116650.
(m - 1)*(m + 116650)
Factor -2*z**2 - 6042*z.
-2*z*(z + 3021)
Factor -3*x**2 + 2868*x - 2865.
-3*(x - 955)*(x - 1)
Solve -4*k**4 + 7660*k**3 + 36*k**2 - 68940*k = 0.
-3, 0, 3, 1915
Determine s, given that s**2 - 84998*s - 84999 = 0.
-1, 84999
Factor -2*x**2/7 - 260*x/7 + 4672/7.
-2*(x - 16)*(x + 146)/7
Suppose 27*v**5/7 - 31503*v**4/7 + 1754478*v**3 - 1610950392*v**2/7 + 4372701024*v/7 + 1051399296/7 = 0. What is v?
-2/9, 3, 388
Determine n, given that 5*n**5 - 10180*n**4 + 5201775*n**3 - 20350600*n**2 - 149433280*n - 123870720 = 0.
-3, -1, 8, 1016
Factor -3*l**2/4 + 2902605*l/2 - 2808371928675/4.
-3*(l - 967535)**2/4
Factor -y**3/9 - 104*y**2/9 + 2605*y/9 - 2500/9.
-(y - 20)*(y - 1)*(y + 125)/9
Suppose 4*y**2 - 1064*y - 55980 