
Factor -326*w**2/9 - 457268*w/3 + 16832/9.
-2*(w + 4208)*(163*w - 2)/9
Find b such that 720*b**5/13 + 722*b**4/13 - 718*b**3/13 - 722*b**2/13 - 2*b/13 = 0.
-1, -1/360, 0, 1
Factor a**2 + 194270*a + 9435208225.
(a + 97135)**2
Determine c so that 2*c**5/5 + 604*c**4/5 - 3072*c**3/5 - 116*c**2 + 10462*c/5 + 7368/5 = 0.
-307, -1, 3, 4
Factor -2*r**2/11 + 3032*r/11 - 21126/11.
-2*(r - 1509)*(r - 7)/11
Solve 8*n**4/5 + 52*n**3/5 - 104*n**2/5 - 64*n/5 = 0 for n.
-8, -1/2, 0, 2
Factor -b**2/7 - 119460*b/7 - 3567672900/7.
-(b + 59730)**2/7
Factor 2*i**2/3 + 638*i/3 - 7488.
2*(i - 32)*(i + 351)/3
Factor -3*f**3/7 - 2169*f**2/7 - 63315*f - 17843775/7.
-3*(f + 53)*(f + 335)**2/7
Solve -z**4/9 + 79*z**3/9 + 959*z**2/3 + 12641*z/9 + 9844/9 = 0.
-23, -4, -1, 107
Factor 3*w**3 + 7293*w**2 - 29211*w + 21915.
3*(w - 3)*(w - 1)*(w + 2435)
Factor 27*z**3 + 489*z**2 - 5808*z - 7020.
3*(z - 9)*(z + 26)*(9*z + 10)
Factor -r**3/5 + 27984*r**2/5 - 11193*r + 27982/5.
-(r - 27982)*(r - 1)**2/5
Find x such that -4*x**4/7 + 20*x**3/7 + 1296*x**2/7 - 8496*x/7 - 5184 = 0.
-18, -3, 12, 14
Let f**2/4 - 391*f + 26299/4 = 0. What is f?
17, 1547
Solve 4*s**4 + 44*s**3 - 124*s**2 - 236*s + 312 = 0.
-13, -2, 1, 3
Solve -2*v**3 - 1566*v**2 + 48330*v + 167830758 = 0.
-537, 291
Find l, given that 90*l**4 + 5403*l**3 - 5436*l**2 - 7743*l + 7686 = 0.
-61, -6/5, 1, 7/6
Determine j, given that j**4/4 + 127*j**3/2 - 80227*j**2/4 + 39922*j - 19929 = 0.
-438, 1, 182
Solve 19683*v**4/5 - 172044*v**3/5 + 473148*v**2/5 - 84960*v + 24000 = 0.
2/3, 100/27
Find k, given that -1374662178*k**4 + 2749114620*k**3 - 1374242714*k**2 - 209720*k - 8 = 0.
-2/26217, 1
Factor -t**3/7 - 148*t**2/7 - 2297*t/7 - 1310.
-(t + 7)*(t + 10)*(t + 131)/7
Suppose 2*h**2 - 38544*h - 38546 = 0. Calculate h.
-1, 19273
Factor 4*k**2/3 - 48548*k + 145640/3.
4*(k - 36410)*(k - 1)/3
Factor -t**3 - 1825*t**2 - 868808*t - 32622224.
-(t + 41)*(t + 892)**2
Factor b**2 + 148745*b + 297486.
(b + 2)*(b + 148743)
Factor 4*g**3/7 - 956*g**2 - 6704*g/7 + 13392/7.
4*(g - 1674)*(g - 1)*(g + 2)/7
Let 16*b**5/3 - 274*b**4/3 + 1312*b**3/3 - 384*b**2 = 0. What is b?
0, 9/8, 8
Factor 116764*q**2 - 1167632*q/5 - 16/5.
4*(q - 2)*(145955*q + 2)/5
Factor -3*r**3/4 - 51*r**2/4 - 93*r/2 + 60.
-3*(r - 1)*(r + 8)*(r + 10)/4
Factor -x**4 - 19498*x**3 - 94925941*x**2 + 1141217940*x - 3425760900.
-(x - 6)**2*(x + 9755)**2
Solve 4*k**2 + 15076*k + 15072 = 0 for k.
-3768, -1
Solve -30*d**5 - 905*d**4 + 12955*d**3 + 47220*d**2 + 41060*d + 10400 = 0.
-40, -2, -2/3, -1/2, 13
Suppose -8*h**5/11 + 49992*h**4/11 + 150022*h**3/11 + 162540*h**2/11 + 75022*h/11 + 12504/11 = 0. Calculate h.
-1, -1/2, 6252
Factor -2*k**2/13 + 178824*k/13 - 3997252872/13.
-2*(k - 44706)**2/13
Suppose -4*z**4 - 5224*z**3 + 5236*z**2 + 10456*z = 0. What is z?
-1307, -1, 0, 2
Find n such that -358*n**3/7 + 652*n**2/7 + 2046*n/7 - 2340/7 = 0.
-390/179, 1, 3
Solve m**2/3 - 1947*m + 318230/3 = 0 for m.
55, 5786
Factor -4*q**2 - 22232*q + 66732.
-4*(q - 3)*(q + 5561)
Factor -2*f**2/11 + 2412*f/11 - 2410/11.
-2*(f - 1205)*(f - 1)/11
Suppose 5*f**3 - 1640*f**2 - 31140*f = 0. Calculate f.
-18, 0, 346
Factor -g**3/5 + 154*g**2/5 - 5884*g/5 + 2232.
-(g - 90)*(g - 62)*(g - 2)/5
Solve -v**4/2 - 3*v**3/2 + 253*v**2/2 + 255*v/2 = 0.
-17, -1, 0, 15
Factor 68*c**2 + 32176*c + 5676.
4*(c + 473)*(17*c + 3)
Suppose -8*h**2/5 - 74568*h/5 - 37282/5 = 0. Calculate h.
-18641/2, -1/2
Find j, given that j**2/3 - 14696*j/3 + 14695/3 = 0.
1, 14695
Find i such that -i**4/5 - 152*i**3/5 - 2614*i**2/5 - 11688*i/5 - 15561/5 = 0.
-133, -13, -3
Solve -10*i**5 + 8755*i**4 + 13160*i**3 - 4370*i**2 - 13150*i - 4385 = 0.
-1, -1/2, 1, 877
Let -2*l**2 - 63500*l - 504031250 = 0. Calculate l.
-15875
Find w such that w**5/2 - 22*w**4 + 290*w**3 - 1200*w**2 - 288*w + 6912 = 0.
-2, 4, 6, 12, 24
Suppose 3*w**2/8 - 723*w/8 - 31059/2 = 0. Calculate w.
-116, 357
Factor 2*o**4 + 1085*o**3 + 53137*o**2 - 26840*o.
o*(o + 55)*(o + 488)*(2*o - 1)
Determine r, given that 2*r**4/11 - 2412*r**3/11 + 743778*r**2/11 - 9910288*r/11 - 10656480/11 = 0.
-1, 15, 596
Let 2*x**5/19 + 6588*x**4/19 + 5412008*x**3/19 - 21786588*x**2/19 - 27192010*x/19 = 0. What is x?
-1649, -1, 0, 5
Determine n, given that 6*n**3/5 - 1587174*n**2/5 + 104964181344*n/5 - 104962594176/5 = 0.
1, 132264
Let -5*n**4 + 363725*n**3 + 1091205*n**2 + 1091215*n + 363740 = 0. What is n?
-1, 72748
Determine o, given that o**5/4 + 97*o**4 + 9178*o**3 - 19136*o**2 - 36716*o + 74992 = 0.
-218, -172, -2, 2
What is x in 14*x**3/5 + 1938*x**2/5 + 61882*x/5 + 26166/5 = 0?
-89, -49, -3/7
Suppose 170*x**2 - 54088*x + 21608 = 0. Calculate x.
2/5, 5402/17
Solve -v**3/2 + 27233*v**2/2 - 92711344*v + 92697728 = 0.
1, 13616
Factor k**3/5 + 169*k**2 + 1675*k + 4175.
(k + 5)**2*(k + 835)/5
Let 9246*o**3/7 - 18672*o**2/7 + 9606*o/7 - 180/7 = 0. What is o?
30/1541, 1
Determine q, given that -q**5 + 2593*q**4 - 2061642*q**3 + 323774050*q**2 + 144514206875*q - 144835921875 = 0.
-183, 1, 925
Factor -2*f**2 + 3762*f + 22644.
-2*(f - 1887)*(f + 6)
Determine l, given that -4*l**5 + 468*l**4 + 11196*l**3 + 54108*l**2 + 74520*l = 0.
-15, -3, 0, 138
Factor -c**4/6 - 11*c**3/2 + 940*c**2 + 176800*c/3 + 928000.
-(c - 87)*(c + 40)**3/6
Solve 2*n**4/7 + 246*n**3/7 - 506*n**2/7 - 750*n/7 = 0 for n.
-125, -1, 0, 3
What is b in b**4/5 + 98*b**3/5 + 1737*b**2/5 + 1868*b + 1540 = 0?
-77, -10, -1
Factor 2*h**2/7 - 760744*h/7 + 72341429192/7.
2*(h - 190186)**2/7
Factor 3*n**3 - 1101*n**2 + 103713*n - 491415.
3*(n - 181)**2*(n - 5)
What is a in -4*a**4 - 269500*a**3 - 538988*a**2 - 269492*a = 0?
-67373, -1, 0
Find f, given that 3*f**5/4 + 3885*f**4/2 + 5820*f**3 - 3885*f**2/2 - 23283*f/4 = 0.
-2587, -3, -1, 0, 1
Suppose 5*x**2/4 + 915*x + 36225 = 0. Calculate x.
-690, -42
Determine x so that 5*x**2 + 2945*x + 43050 = 0.
-574, -15
Factor -3*q**2/4 - 5865*q/4 - 111153.
-3*(q + 79)*(q + 1876)/4
Solve -1758*c**2/7 - 1468*c/7 + 290/7 = 0 for c.
-1, 145/879
Factor -v**4/3 - 56*v**3/3 + 181*v**2/3 + 236*v/3.
-v*(v - 4)*(v + 1)*(v + 59)/3
Suppose g**5/4 - 1495*g**4 + 2238013*g**3 - 8934120*g**2 + 8928144*g = 0. What is g?
0, 2, 2988
Solve 2*u**2/7 + 78608*u/7 + 235806/7 = 0 for u.
-39301, -3
Factor -4*w**3 - 760*w**2 + 4668*w - 7056.
-4*(w - 3)**2*(w + 196)
Factor 2*x**2/9 + 542*x/3 + 17644/9.
2*(x + 11)*(x + 802)/9
Solve -98*a**5/3 + 19516*a**4/15 - 57236*a**3/5 - 152016*a**2/5 - 49518*a/5 + 47628/5 = 0.
-9/7, 2/5, 21
Let 235*l**3 - 10085*l**2 + 9010*l + 840 = 0. Calculate l.
-4/47, 1, 42
Factor 2*l**2 + 1123344*l + 157737717792.
2*(l + 280836)**2
Factor r**2/4 + 105*r/4 - 1943/2.
(r - 29)*(r + 134)/4
Let -449*c**2 + 68695*c + 306 = 0. Calculate c.
-2/449, 153
Let -2*y**5 + 1150*y**4 - 8954*y**3 - 67182*y**2 + 156636*y - 81648 = 0. What is y?
-6, 1, 12, 567
Factor -3*y**3/5 + 15009*y**2 - 469350189*y/5 + 469275147/5.
-3*(y - 12507)**2*(y - 1)/5
Let -v**2/4 + 24577*v/2 + 49155/4 = 0. Calculate v.
-1, 49155
Factor 286*u**3/5 + 98*u**2/5 - 16*u.
2*u*(11*u + 8)*(13*u - 5)/5
Suppose 3700*n**4 - 1745*n**3 - 2115*n**2 + 20*n + 140 = 0. What is n?
-2/5, -14/37, 1/4, 1
What is h in -5*h**3 - 255*h**2 + 3600*h - 11340 = 0?
-63, 6
Let -2*o**2/3 - 196*o/3 + 1130 = 0. Calculate o.
-113, 15
Solve 5*d**3/2 - 20*d**2 - 155*d/2 - 55 = 0 for d.
-2, -1, 11
Factor -y**4/4 - 15619*y**3/2.
-y**3*(y + 31238)/4
What is n in 2*n**3/5 + 412*n**2/5 + 12486*n/5 - 18036 = 0?
-167, -45, 6
Factor 5*j**4 - 131240*j**3 + 861983960*j**2 - 10329637920*j + 30974746320.
5*(j - 13118)**2*(j - 6)**2
What is d in -4*d**4 - 24*d**3 + 1564*d**2 - 12336*d + 28080 = 0?
-26, 5, 6, 9
Factor -8*t**2/3 - 479*t/3 - 157.
-(t + 1)*(8*t + 471)/3
Find j, given that 2*j**3/7 + 64128*j**2/7 + 513985914*j/7 - 1028228356/7 = 0.
-16033, 2
Determine b, given that 3*b**5 - 252*b**4 - 843*b**3 + 5076*b**2 + 12720*b - 16704 = 0.
-4, 1, 4, 87
Let 5*a**5/4 + 264*a**4 + 1036*a**3 - 20*a**2 - 4164*a - 4144 = 0. Calculate a.
-1036/5, -2, 2
Factor -9*m**4 + 223*m**3 + 732*m**2 + 500*m.
-m*(m + 1)*(m + 2)*(9*m - 250)
Factor 4*m**3 + 29116*m**2 + 232672*m.
4*m*(m + 8)*(m + 7271)
Factor 3*y**3 - 2127*y**2 + 4242*y.
3*y*(y - 707)*(y - 2)
Factor 2*w**2 - 770*w + 11100.
2*(w - 370)*(w - 15)
Find j, given that 4802*j**4 - 18032*j**3 + 9774*j**2 + 3240*j + 216 = 0.
-6/49, 1, 3
Determine s so th