0*o**2 - 3888*o = 0. Calculate o.
-162, -2, 0, 2
Factor 2*z**4 - 30*z**3 - 128*z**2 + 360*z.
2*z*(z - 18)*(z - 2)*(z + 5)
Factor -2*f**2 + 408*f - 3136.
-2*(f - 196)*(f - 8)
Let 5*z**5 + 5845*z**4 + 1757200*z**3 + 28662080*z**2 + 133079040*z + 106168320 = 0. What is z?
-576, -8, -1
Determine s, given that -2*s**5/7 - 872*s**4/7 - 248*s**3 = 0.
-434, -2, 0
Solve -2*q**4/5 + 181532*q**3/5 - 4119233378*q**2/5 = 0 for q.
0, 45383
Determine p, given that 6*p**5 - 663*p**4 + 519*p**3 + 15093*p**2 + 2511*p - 59130 = 0.
-3, 2, 5, 219/2
Factor -f**3 + 1120*f**2 - 4464*f.
-f*(f - 1116)*(f - 4)
Let 3*w**4/2 + 9297*w**3/2 + 9291*w**2/2 - 9297*w/2 - 4647 = 0. What is w?
-3098, -1, 1
Find g such that 2*g**5/3 + 11134*g**4/3 - 74442*g**3 + 860882*g**2/3 + 2704108*g/3 = 0.
-5587, -2, 0, 11
Let 2*n**5/17 - 76*n**4/17 + 466*n**3/17 - 1016*n**2/17 + 744*n/17 = 0. Calculate n.
0, 2, 3, 31
Suppose -3*y**2 - 801*y - 31536 = 0. Calculate y.
-219, -48
Find l, given that -5*l**3 + 18850*l**2 - 150515*l + 131670 = 0.
1, 7, 3762
Find x such that 2*x**3/3 + 254*x**2/3 + 1554*x + 1470 = 0.
-105, -21, -1
Suppose 2*v**4/17 - 635106*v**3/17 + 50420906554*v**2/17 - 151258273950*v/17 + 100838002500/17 = 0. What is v?
1, 2, 158775
Factor -3*l**3/5 - 3984*l**2/5 + 1596*l.
-3*l*(l - 2)*(l + 1330)/5
Factor 4*a**3/5 + 2108*a**2/5 - 68996*a/5 - 111522492/5.
4*(a - 207)*(a + 367)**2/5
Determine k, given that -k**4/6 + 47*k**3/6 - 109*k**2 + 1184*k/3 - 880/3 = 0.
1, 4, 20, 22
Solve -7*r**3/8 - 487*r**2/2 + 9349*r/8 + 1415/4 = 0 for r.
-283, -2/7, 5
Factor -2*a**3 - 204*a**2 + 2736*a.
-2*a*(a - 12)*(a + 114)
Factor -4*r**3/3 - 121716*r**2 - 2777832980*r - 8333133796/3.
-4*(r + 1)*(r + 45643)**2/3
Find s, given that s**2/7 + 14655*s/7 + 73250/7 = 0.
-14650, -5
Solve -20*w**5 + 708*w**4 - 2780*w**3 + 1500*w**2 + 3520*w - 1488 = 0 for w.
-1, 2/5, 2, 3, 31
Find v such that -2*v**5 - 286*v**4 - 12956*v**3 - 199012*v**2 - 360290*v - 173950 = 0.
-71, -35, -1
Factor -4*x**4/9 - 3980*x**3/9 + 29036*x**2 - 617988*x + 4354728.
-4*(x - 21)**3*(x + 1058)/9
Determine s so that -s**3/5 - 4*s**2/5 + 5*s + 28/5 = 0.
-7, -1, 4
What is w in -111*w**3/2 - 3987*w**2/4 - 2457*w + 405/4 = 0?
-15, -3, 3/74
Solve 3*s**3/4 - 3475*s**2/4 - 2319*s/4 + 1159/4 = 0.
-1, 1/3, 1159
Solve -274*b**5/3 + 5198*b**4/3 - 31358*b**3/3 + 60730*b**2/3 + 600*b = 0 for b.
-4/137, 0, 5, 9
Factor -2*v**3 + 354*v**2 - 20670*v + 397150.
-2*(v - 65)**2*(v - 47)
Suppose -3*b**2/4 + 79019*b/4 + 6585 = 0. What is b?
-1/3, 26340
Let -5*m**4 - 5530*m**3 + 27735*m**2 - 44420*m + 22220 = 0. Calculate m.
-1111, 1, 2
Factor 2*y**3/13 - 218*y**2/13 + 1052*y/13 - 96.
2*(y - 104)*(y - 3)*(y - 2)/13
Let -2*g**2/5 + 28*g - 992/5 = 0. Calculate g.
8, 62
Suppose 2*h**4/5 + 158*h**3/5 + 4254*h**2/5 + 43722*h/5 + 116424/5 = 0. What is h?
-33, -21, -4
Solve -2*s**4/7 - 108*s**3/7 + 3510*s**2/7 - 2704*s - 52728/7 = 0.
-78, -2, 13
Find i such that -27*i**5 - 399*i**4 - 72*i**3 + 10296*i**2 - 18480*i + 3600 = 0.
-10, 2/9, 2, 3
Factor 148*l**3 - 100928*l**2 - 5456*l.
4*l*(l - 682)*(37*l + 2)
Factor 5*k**2 + 145*k - 84100.
5*(k - 116)*(k + 145)
Factor 2*z**4/9 - 14156*z**3/3 + 225398906*z**2/9 + 150308408*z/3 + 225483848/9.
2*(z - 10618)**2*(z + 1)**2/9
Let 3*y**2 - 147*y - 15756 = 0. Calculate y.
-52, 101
Determine l so that 4*l**4 + 104*l**3 - 1276*l**2 - 416*l + 5040 = 0.
-35, -2, 2, 9
Determine z so that -2*z**5 - 3881*z**4 + 5828*z**3 + 3884*z**2 = 0.
-1942, -1/2, 0, 2
Factor -2*h**3 + 172*h**2 - 3070*h - 6844.
-2*(h - 59)*(h - 29)*(h + 2)
Suppose j**2/10 + 87*j/10 + 946/5 = 0. What is j?
-44, -43
Factor -3*z**2 + 8346*z - 8343.
-3*(z - 2781)*(z - 1)
Factor -y**3 - 1518*y**2 + 106195*y.
-y*(y - 67)*(y + 1585)
Solve 120*i**3 - 1287*i**2 - 369*i + 66 = 0 for i.
-2/5, 1/8, 11
Suppose 15*b**5 + 85*b**4 - 1425*b**3 + 4275*b**2 - 3790*b + 840 = 0. Calculate b.
-14, 1/3, 1, 3, 4
Factor -4*s**3 + 3540*s**2 + 28548*s + 25004.
-4*(s - 893)*(s + 1)*(s + 7)
Factor -r**3/2 - 28*r**2 + 4837*r/2 - 33170.
-(r - 31)*(r - 20)*(r + 107)/2
Find i, given that 4*i**3 - 392216*i**2/3 + 1437988*i/3 - 261448 = 0.
2/3, 3, 32681
Determine d, given that 21*d**4/2 - 16185*d**3/2 - 4647*d**2/2 + 16185*d/2 + 2313 = 0.
-1, -2/7, 1, 771
Let 5*h**3 - 485*h**2 + 5155*h - 4675 = 0. What is h?
1, 11, 85
Determine r so that 5*r**3 + 2285*r**2 - 21020*r - 23300 = 0.
-466, -1, 10
Let -14*f**5/5 - 283*f**4/5 - 1278*f**3/5 + 1251*f**2/5 + 324*f/5 = 0. Calculate f.
-12, -9, -3/14, 0, 1
Find x such that -2*x**4/9 + 1636*x**3/9 + 8512*x**2/9 - 77452*x/3 + 24690 = 0.
-15, 1, 9, 823
Factor -q**3 - 176*q**2 + 1835*q - 4650.
-(q - 5)**2*(q + 186)
Factor -69*x**2/4 + 8967*x + 1560.
-3*(x - 520)*(23*x + 4)/4
Determine i so that 2*i**5 + 194*i**4 - 2*i**3 - 194*i**2 = 0.
-97, -1, 0, 1
Suppose 6*s**2/11 + 1831956*s/11 - 166542 = 0. What is s?
-305327, 1
Let -b**2/9 + 63704*b/9 - 63703/9 = 0. Calculate b.
1, 63703
Factor -d**3 - 188*d**2 - 4867*d.
-d*(d + 31)*(d + 157)
Factor -r**3 - 829*r**2 + 7241*r + 88420965.
-(r - 285)*(r + 557)**2
Factor -4*h**4 + 76*h**3 - 256*h**2 + 240*h.
-4*h*(h - 15)*(h - 2)**2
Find j, given that -3*j**3/5 + 1008*j**2/5 - 8988*j/5 - 258192/5 = 0.
-12, 22, 326
Determine l so that -2*l**2 - 1243*l + 4375 = 0.
-625, 7/2
Factor 15*y**3 - 2844*y**2 + 4500*y + 2256.
3*(y - 188)*(y - 2)*(5*y + 2)
Solve 99*i**2 + 327291*i - 9918 = 0.
-3306, 1/33
Determine j, given that 4*j**5/7 + 12*j**4/7 - 284*j**3/7 - 84*j**2 + 40*j + 576/7 = 0.
-9, -2, -1, 1, 8
Factor -5*l**3 + 114695*l**2 + 114710*l - 229400.
-5*(l - 22940)*(l - 1)*(l + 2)
Factor 3*m**2/5 + 5613*m/5 + 66246.
3*(m + 61)*(m + 1810)/5
Find n, given that 3*n**5 - 48*n**4 + 81*n**3 + 528*n**2 - 636*n - 1872 = 0.
-2, 3, 4, 13
Factor -5*y**2 - 16290*y - 65080.
-5*(y + 4)*(y + 3254)
Solve c**2 - 364*c + 27348 = 0 for c.
106, 258
Factor -3*b**2/2 - 3029*b/2 + 505.
-(b + 1010)*(3*b - 1)/2
Factor 2*v**3/5 + 211488*v**2.
2*v**2*(v + 528720)/5
Suppose 4*m**5 - 1988*m**4 + 251880*m**3 - 1198512*m**2 - 1452384*m = 0. Calculate m.
-1, 0, 6, 246
Factor -2*m**3 + 504*m**2 + 134966*m + 134460.
-2*(m - 415)*(m + 1)*(m + 162)
Suppose k**5 - 128281*k**4 + 4114067879*k**3 - 4113811319*k**2 - 4114067880*k + 4113939600 = 0. What is k?
-1, 1, 64140
Let 2*k**4/7 + 18*k**3 - 286*k**2/7 - 1710*k/7 - 1300/7 = 0. What is k?
-65, -2, -1, 5
Factor 4*i**3/5 - 44*i**2/5 + 32*i/5 + 16.
4*(i - 10)*(i - 2)*(i + 1)/5
Factor c**4 + 690*c**3 - 66227*c**2 - 273156*c - 275900.
(c - 89)*(c + 2)**2*(c + 775)
Suppose 10*q**3 - 120758*q**2 + 96598*q + 24150 = 0. What is q?
-1/5, 1, 12075
Suppose -3*c**2 + 15873*c + 1076958 = 0. What is c?
-67, 5358
Factor 4*n**2/3 + 1216*n/3 + 55552/3.
4*(n + 56)*(n + 248)/3
Determine a so that 168*a**5 + 1034*a**4 - 2662*a**3 - 1184*a**2 + 2152*a - 192 = 0.
-8, -1, 2/21, 3/4, 2
Determine s so that -5*s**5 + 27865*s**4 - 27845*s**3 - 83605*s**2 + 139310*s - 55720 = 0.
-2, 1, 5572
Factor -25*a**4 + 10130*a**3 - 881449*a**2 - 29320272*a - 209438784.
-(a - 216)**2*(5*a + 67)**2
Factor 158*v**2/3 - 944*v + 2310.
2*(v - 15)*(79*v - 231)/3
Find x such that -x**5 - 3181*x**4/4 + 179673*x**3/4 - 2430567*x**2/4 - 618921*x/4 = 0.
-849, -1/4, 0, 27
Factor 5*q**2 - 330*q + 4320.
5*(q - 48)*(q - 18)
Determine x so that 3*x**5 + 195*x**4 - 423*x**3 - 1419*x**2 - 804*x = 0.
-67, -1, 0, 4
Determine b so that 3*b**3/5 + 273*b**2 + 5376*b/5 - 16236/5 = 0.
-451, -6, 2
Factor -5*j**3 + 442160*j**2 + 1768705*j + 1326540.
-5*(j - 88436)*(j + 1)*(j + 3)
Determine l, given that 3*l**4/5 + 48*l**3 + 5232*l**2/5 + 31104*l/5 + 55296/5 = 0.
-48, -24, -4
Find s such that 3*s**5 + 504*s**4/5 + 261*s**3/5 - 1176*s**2/5 + 396*s/5 = 0.
-33, -2, 0, 2/5, 1
Factor l**2 - 2240*l - 49764.
(l - 2262)*(l + 22)
Suppose -2*w**5 + 1008*w**4 + 577596*w**3 + 81548224*w**2 + 3625637910*w = 0. What is w?
-127, 0, 885
Factor 2178*s**2 + 604626*s + 83923921/2.
(66*s + 9161)**2/2
Factor z**2/2 + 2640*z - 239625/2.
(z - 45)*(z + 5325)/2
Factor -2*z**3/3 - 38*z**2 + 482*z/3 - 122.
-2*(z - 3)*(z - 1)*(z + 61)/3
Determine n, given that -n**5/4 - 19095*n**4 + 152767*n**3/4 + 114571*n**2/2 - 76383*n - 76382 = 0.
-76382, -1, 2
Factor -6*i**2/5 + 83198*i/15 - 9244/15.
-2*(i - 4622)*(9*i - 1)/15
Factor 2*k**3/7 - 2106*k**2/7 + 4198*k/7 + 6306/7.
2*(k - 1051)*(k - 3)*(k + 1)/7
Factor -2*q**2/11 - 