given that -y**3/8 - 6617*y**2/2 - 43784689*y/2 = 0.
-13234, 0
Solve 3*p**3 - 155136*p**2 + 2005908444*p - 8021151792 = 0.
4, 25854
Determine j so that 3*j**3/7 - 26445*j**2/7 - 105816*j/7 - 105828/7 = 0.
-2, 8819
Suppose -3*u**5 - 1183*u**4 + 18073*u**3 + 31279*u**2 - 87430*u + 39264 = 0. What is u?
-409, -3, 2/3, 1, 16
Factor r**2/4 + 961*r/4 + 3081.
(r + 13)*(r + 948)/4
Determine s so that -s**3/4 - 111*s**2/2 - 657*s/4 = 0.
-219, -3, 0
Let -b**4 - 5*b**3 + 279*b**2 + 1001*b - 16562 = 0. Calculate b.
-13, 7, 14
Determine b, given that 3*b**3/2 + 265833*b**2/2 - 3*b/2 - 265833/2 = 0.
-88611, -1, 1
Factor 5*m**2 - 533235*m - 1599750.
5*(m - 106650)*(m + 3)
Suppose -h**5 + 128*h**4 - 3517*h**3 - 39586*h**2 + 89216*h - 46240 = 0. Calculate h.
-10, 1, 68
Factor 3*u**2/5 + 144*u/5 - 6699/5.
3*(u - 29)*(u + 77)/5
Find u, given that -147*u**4 + 9844527*u**3 - 5625408*u**2 + 803628*u = 0.
0, 2/7, 66969
Factor -225625*f**2 + 10450*f - 121.
-(475*f - 11)**2
Factor -2*w**2/15 + 50*w/3 - 460/3.
-2*(w - 115)*(w - 10)/15
Factor -10*l**2/3 - 25948*l/9 + 1730/9.
-2*(l + 865)*(15*l - 1)/9
Solve b**4 + 95*b**3 + 185*b**2 - 95*b - 186 = 0 for b.
-93, -2, -1, 1
Determine d so that 2*d**5/3 + 8*d**4/3 - 32*d**3 - 96*d**2 + 288*d = 0.
-6, 0, 2, 6
Suppose 2*y**5/5 + 58*y**4/5 - 124*y**3/5 + 4*y**2/5 + 122*y/5 - 62/5 = 0. What is y?
-31, -1, 1
Determine i, given that -56*i**3 - 342*i**2 + 8924*i + 960 = 0.
-16, -3/28, 10
Factor -14*h**2/5 + 2281058*h/5 + 651732/5.
-2*(h - 162933)*(7*h + 2)/5
Let -s**2 + 1086062*s - 294882666961 = 0. What is s?
543031
Suppose 2*y**2/9 - 24998*y/9 = 0. What is y?
0, 12499
Let 4*u**4/5 - 29552*u**3/5 - 29556*u**2/5 = 0. What is u?
-1, 0, 7389
Solve 16*z**5 + 1052*z**4 - 3528*z**3 + 4112*z**2 - 1928*z + 276 = 0.
-69, 1/4, 1
Suppose -3*y**2/4 - 56251*y/2 - 18750 = 0. What is y?
-37500, -2/3
Factor 2*s**2/15 - 428*s/15 + 6862/5.
2*(s - 141)*(s - 73)/15
Solve -2*w**5/7 - 106*w**4 - 23558*w**3/7 - 217442*w**2/7 - 367168*w/7 - 172544/7 = 0 for w.
-337, -16, -1
Factor -4*i**5 - 280*i**4 + 5144*i**3 - 30160*i**2 + 68300*i - 43000.
-4*(i - 5)**3*(i - 1)*(i + 86)
Determine b so that 5913*b**4/7 - 5973*b**3/7 - 5853*b**2/7 + 5973*b/7 - 60/7 = 0.
-1, 20/1971, 1
Factor -28*y**3 + 8300*y**2 - 36128*y - 23360.
-4*(y - 292)*(y - 5)*(7*y + 4)
Find d, given that 8*d**5 - 328484*d**4 + 3374310016*d**3 - 48876838168*d**2 + 188702746008*d - 82553931684 = 0.
1/2, 7, 20523
Factor -2*d**3 - 8*d**2 + 350*d + 2156.
-2*(d - 14)*(d + 7)*(d + 11)
Factor 2*j**2/9 - 22142*j/9 - 22144/9.
2*(j - 11072)*(j + 1)/9
Factor 4*r**4 - 434484*r**3 + 15731796648*r**2 - 189893270798960*r + 569538237957792.
4*(r - 36206)**3*(r - 3)
Suppose -v**3/8 + 10221*v**2/8 = 0. What is v?
0, 10221
Let 2*w**4/5 - 532*w**3/5 + 37938*w**2/5 - 68096*w + 163840 = 0. What is w?
5, 128
Determine o so that 14*o**5/9 + 88*o**4/9 - 62*o**3/3 + 52*o**2/9 + 32*o/9 = 0.
-8, -2/7, 0, 1
Factor -2*y**2/3 + 1952*y - 34920.
-2*(y - 2910)*(y - 18)/3
Factor k**3/4 + 131*k**2/2 - 799*k/4 - 265.
(k - 4)*(k + 1)*(k + 265)/4
Factor -15*j**3 - 1911*j**2 - 58512*j - 23100.
-3*(j + 50)*(j + 77)*(5*j + 2)
Let 4758*r**2 + 392*r + 2 = 0. What is r?
-1/13, -1/183
Factor 5*x**2 + 4275*x + 135630.
5*(x + 33)*(x + 822)
Solve -t**2/2 + 487*t/2 + 20440 = 0.
-73, 560
Suppose -55*l**5 - 1825*l**4 - 11220*l**3 - 25520*l**2 - 21440*l - 3120 = 0. What is l?
-26, -3, -2, -2/11
What is w in -3*w**5/2 - 1815*w**4/2 + 10971*w**3/2 - 16509*w**2/2 - 3648*w + 10998 = 0?
-611, -1, 2, 3
Factor 2*k**2/3 + 213656*k/3 + 71218.
2*(k + 1)*(k + 106827)/3
Solve -9*u**4/2 - 51*u**3/2 + 192*u**2 - 42*u - 120 = 0.
-10, -2/3, 1, 4
Determine c so that -c**2 + 2199*c = 0.
0, 2199
Solve 4*p**5/5 + 4128*p**4/5 - 8*p**3/5 - 8256*p**2/5 + 4*p/5 + 4128/5 = 0.
-1032, -1, 1
Factor -4*m**3/9 + 904*m**2/3 - 10784*m/9.
-4*m*(m - 674)*(m - 4)/9
Let 2*p**2/13 + 24*p + 11286/13 = 0. What is p?
-99, -57
Determine r, given that -22*r**5 + 698*r**4 - 7728*r**3 + 33040*r**2 - 34400*r - 12000 = 0.
-3/11, 2, 10
Solve 2*t**4/3 - 2*t**3 - 24*t**2 - 64*t/3 = 0 for t.
-4, -1, 0, 8
Factor 4*s**3 + 16692*s**2 + 100044*s + 150012.
4*(s + 3)**2*(s + 4167)
Factor 2*q**2/9 + 1913132*q/9 + 457509256178/9.
2*(q + 478283)**2/9
Factor 2*t**2 - 212058*t + 848200.
2*(t - 106025)*(t - 4)
Solve p**3 + 362*p**2 - 728*p = 0 for p.
-364, 0, 2
Solve o**2/6 - 460*o + 2757/2 = 0 for o.
3, 2757
Determine l, given that 2*l**4/9 + 40*l**3/9 + 268*l**2/9 + 680*l/9 + 50 = 0.
-9, -5, -1
Solve 28*z**2/5 + 28148*z/5 - 4024 = 0.
-1006, 5/7
Solve -3*t**2 - 104766*t - 314271 = 0 for t.
-34919, -3
Factor -2*q**3/5 + 132*q**2/5 - 1822*q/5 + 1692/5.
-2*(q - 47)*(q - 18)*(q - 1)/5
Factor 4*b**2 + 3264*b + 401660.
4*(b + 151)*(b + 665)
Let -2*a**5 + 5838*a**4 + 17538*a**3 - 17518*a**2 - 40920*a + 35064 = 0. Calculate a.
-3, -2, 1, 2922
Suppose -36*h**5 + 24560*h**4 - 4142180*h**3 - 15923400*h**2 - 13198640*h + 3764768 = 0. What is h?
-2, 2/9, 343
Factor 2*j**2 - 10106*j - 20220.
2*(j - 5055)*(j + 2)
Factor 5*d**3/2 - 5005*d**2/2 + 17410*d - 14910.
5*(d - 994)*(d - 6)*(d - 1)/2
Let z**5/10 - z**4/2 - 39*z**3/10 + 25*z**2/2 + 35*z = 0. Calculate z.
-5, -2, 0, 5, 7
Factor -c**3/5 - 36*c**2 + 8883*c/5 - 97902/5.
-(c - 21)**2*(c + 222)/5
Factor -q**2/4 - 85*q/4 + 66.
-(q - 3)*(q + 88)/4
Determine j, given that -4*j**3 - 12372*j**2 - 9572832*j - 9560464 = 0.
-1546, -1
Suppose -4*t**5 + 10896*t**4 - 8710264*t**3 + 1757099856*t**2 - 104020440484*t = 0. What is t?
0, 131, 1231
Determine p so that 2*p**2/3 + 34*p - 2660/3 = 0.
-70, 19
Factor -4*h**4 + 6904*h**3 - 3925008*h**2 + 707255712*h + 15770989440.
-4*(h - 582)**3*(h + 20)
Determine s so that s**2 + 10668*s = 0.
-10668, 0
Determine p so that 21*p**5 + 300*p**4 + 1281*p**3 + 1182*p**2 - 2112*p - 672 = 0.
-7, -4, -2/7, 1
Factor -2*p**2 - 3786*p + 719316.
-2*(p - 174)*(p + 2067)
Solve 3*q**2 - 564*q + 26361 = 0.
87, 101
Find g such that -g**2/2 + 240479*g/2 - 120239 = 0.
1, 240478
Find r, given that -2*r**3 - 330*r**2 - 11536*r + 24408 = 0.
-113, -54, 2
Find h such that h**2/9 + 697268*h/9 + 121545665956/9 = 0.
-348634
Factor 2*q**3 + 148*q**2 + 2400*q - 12096.
2*(q - 4)*(q + 36)*(q + 42)
Let -3*x**4/4 - 957*x**3/2 + 241389*x**2/4 - 58908*x - 119733 = 0. Calculate x.
-746, -1, 2, 107
Find z such that -4*z**4 + 1364*z**3 + 25668*z**2 + 64620*z = 0.
-15, -3, 0, 359
Suppose -3*x**3/4 - 7491*x**2/4 + 1875*x + 3747 = 0. Calculate x.
-2498, -1, 2
Solve -624100*g**3 + 2452160*g**2 + 176176*g + 3136 = 0.
-14/395, 4
Factor 4*w**3 + 143304*w**2 + 143300*w.
4*w*(w + 1)*(w + 35825)
Factor 5*f**3 - 719380*f**2 - 1438775*f - 719390.
5*(f - 143878)*(f + 1)**2
Factor 5*m**3 + 1305*m**2 - 45420*m - 46720.
5*(m - 32)*(m + 1)*(m + 292)
Determine f so that 2*f**2/7 + 6208*f/7 + 12408/7 = 0.
-3102, -2
Suppose -3*f**3/4 - 4725*f**2/2 - 1814769*f + 72413826 = 0. Calculate f.
-1594, 38
Determine y so that 98*y**5/9 + 462*y**4 + 22492*y**3/9 - 187144*y**2/9 + 33680*y/3 - 14144/9 = 0.
-34, -13, 2/7, 4
Factor -2*v**3/7 + 1016*v**2/7 + 9278*v/7 + 2068.
-2*(v - 517)*(v + 2)*(v + 7)/7
Factor 2*u**4 + 76*u**3 + 714*u**2 + 2448*u + 2808.
2*(u + 3)**2*(u + 6)*(u + 26)
What is w in -3*w**2 + 924*w - 11505 = 0?
13, 295
Factor 2*w**3/13 + 712*w**2/13 - 718*w/13 - 1428/13.
2*(w - 2)*(w + 1)*(w + 357)/13
Factor 5*n**4 + 320*n**3 - 1725*n**2.
5*n**2*(n - 5)*(n + 69)
Let 5*t**4 + 3440*t**3 + 674360*t**2 + 28441920*t + 341799120 = 0. Calculate t.
-318, -26
Find y, given that -2*y**3/3 - 3034*y**2/3 - 9076*y/3 + 12112/3 = 0.
-1514, -4, 1
Factor 2*v**2/11 + 1442*v/11 - 43500/11.
2*(v - 29)*(v + 750)/11
Find a, given that -5*a**4 + 4735*a**3 - 56280*a**2 + 168300*a = 0.
0, 6, 935
What is h in h**5/9 + 10*h**4/3 + 83*h**3/3 + 308*h**2/9 - 196*h/3 = 0?
-14, -3, 0, 1
Let -45*d**5 + 1940*d**4 + 28815*d**3 + 56490*d**2 - 243040*d = 0. What is d?
-7, 0, 2, 496/9
Determine b, given that -2*b**5/5 + 2132*b**4/5 + 428*b**3 - 6392*b**2/5 - 10666*b/5 - 4268/5 = 0.
-1, 2, 1067
Find c, given that c**4/3 + 74*c**3 + 1084*c**2/3 - 74*c - 1085/3 = 0.
-217, -5, -1, 1
Factor 2*p**2/11 - 592*p/11 + 13550/11.
2*(p - 271)*(p - 25)/11
Determine d so that 4*d**5 + 3849*d**4 + 865862*d**3 - 29428703*d**2 - 37917216*d - 7626496 = 0.
-496, -1, -1/4, 31
Factor -3*r**3/4 - 129*r**2/4 - 27*r + 189.
-3*(r - 2)*(r + 3)*(r + 42)/4
Sol