
Factor -454*i**3/5 + 30868*i**2/5 - 524552*i/5 - 4624/5.
-2*(i - 34)**2*(227*i + 2)/5
Factor -b**2 - 27789*b.
-b*(b + 27789)
Factor -4*a**2 + 14536*a + 116544.
-4*(a - 3642)*(a + 8)
Suppose -3*j**5 + 79*j**4 - 518*j**3 + 86*j**2 + 521*j - 165 = 0. Calculate j.
-1, 1/3, 1, 11, 15
Solve 5*b**3 + 29790*b**2 - 178875*b + 268380 = 0.
-5964, 3
Factor -4*q**3 - 256*q**2 + 4272*q - 7488.
-4*(q - 12)*(q - 2)*(q + 78)
Let -q**3/3 - 862*q**2/3 - 19339*q/3 - 11746 = 0. Calculate q.
-839, -21, -2
Determine f, given that 5*f**4 - 35*f**3 - 275*f**2 + 455*f + 1650 = 0.
-5, -2, 3, 11
Determine p, given that p**4/4 - 81*p**3/2 + 575*p**2 + 1314*p = 0.
-2, 0, 18, 146
Determine u, given that -2*u**4/3 + 908*u**3/3 - 36104*u**2 + 1181908*u/3 - 1074502/3 = 0.
1, 11, 221
Factor -3*c**2 - 31002*c + 155085.
-3*(c - 5)*(c + 10339)
Let -5*b**2/6 - 3913*b/3 - 1565/6 = 0. What is b?
-1565, -1/5
Solve -n**3/6 - 277*n**2/6 + 434*n/3 + 3920/3 = 0.
-280, -4, 7
Let j**3/5 + 223*j**2/5 + 6767*j/5 + 1309 = 0. What is j?
-187, -35, -1
What is i in 625*i**2 + 3560*i - 1140 = 0?
-6, 38/125
Factor -5*a**4 - 70*a**3 + 275*a**2 + 4840*a.
-5*a*(a - 8)*(a + 11)**2
Let 5*l**3 + 2830*l**2 - 22925*l + 20090 = 0. Calculate l.
-574, 1, 7
Suppose n**4/7 + 13420*n**3/7 - 13429*n**2/7 - 107356*n/7 + 161052/7 = 0. What is n?
-13421, -3, 2
Find b, given that b**3/2 + 66*b**2 + 621*b/2 - 889 = 0.
-127, -7, 2
Solve k**3 + 3*k**2 - 550*k - 1104 = 0 for k.
-24, -2, 23
What is r in r**2 - 1990*r + 47184 = 0?
24, 1966
Find d such that 2*d**3/15 - 2492*d**2/5 - 19968*d/5 - 119872/15 = 0.
-4, 3746
Factor 2*m**3 - 560*m**2 - 79666*m - 79104.
2*(m - 384)*(m + 1)*(m + 103)
Let -g**2/3 + 13712*g/3 - 9140 = 0. Calculate g.
2, 13710
Factor i**4/2 + 1285*i**3/2 + 409575*i**2/2 - 2080125*i/2.
i*(i - 5)*(i + 645)**2/2
Factor -3*i**3 + 30*i**2 + 5361*i + 5328.
-3*(i - 48)*(i + 1)*(i + 37)
Find y such that -4*y**2 - 21396*y + 21400 = 0.
-5350, 1
Factor -3*k**3/5 - 34053*k**2/5 - 6810*k.
-3*k*(k + 1)*(k + 11350)/5
Determine d, given that -34*d**5 + 4341*d**4 - 11407*d**3 + 3969*d**2 + 3881*d - 750 = 0.
-1/2, 3/17, 1, 2, 125
Factor 4*y**5 + 220*y**4 - 116768*y**3 + 5890224*y**2.
4*y**2*(y - 82)**2*(y + 219)
Find x such that 8*x**5/7 + 110*x**4 - 1384*x**3/7 - 166*x**2 + 1376*x/7 + 56 = 0.
-98, -1, -1/4, 1, 2
Suppose -2*q**4/11 + 104*q**3/11 + 6*q**2/11 - 28*q - 208/11 = 0. What is q?
-1, 2, 52
Suppose 39*u**3 + 13890*u**2 - 54024*u - 8640 = 0. Calculate u.
-360, -2/13, 4
Factor y**5/4 - 401*y**4/4 - 2021*y**3/4 - 3647*y**2/4 - 710*y - 203.
(y - 406)*(y + 1)**3*(y + 2)/4
Suppose -5*y**2/4 + 2179*y/2 + 30751/4 = 0. Calculate y.
-7, 4393/5
Factor 4*c**3 - 892*c**2 + 10272*c - 30384.
4*(c - 211)*(c - 6)**2
Find y such that -y**5/3 + 2*y**4/3 + 27*y**3 - 362*y**2/3 + 280*y/3 = 0.
-10, 0, 1, 4, 7
Solve x**5 - 18*x**4 - 11*x**3 + 216*x**2 - 332*x + 144 = 0 for x.
-4, 1, 2, 18
Solve -2*g**4/3 - 42*g**3 + 46*g**2 + 646*g/3 + 128 = 0.
-64, -1, 3
Let -k**3/2 - 15*k**2/2 - 18*k = 0. What is k?
-12, -3, 0
Factor -h**3/3 + 2072*h**2/3 - 3443*h - 4134.
-(h - 2067)*(h - 6)*(h + 1)/3
Determine r, given that 25*r**4 - 17420*r**3 + 13924*r**2 - 2784*r = 0.
0, 2/5, 696
Find v, given that -5*v**5/6 - 431*v**4/3 - 9467*v**3/3 - 19348*v**2/3 + 12737*v/2 + 3381 = 0.
-147, -23, -3, -2/5, 1
Solve f**2/3 + 38138*f/3 + 139799 = 0 for f.
-38127, -11
Find c such that -3*c**5 + 7419*c**4 - 6080787*c**3 + 1622755065*c**2 + 23779913082*c + 41020040808 = 0.
-12, -2, 829
Find g, given that -15*g**5 + 620*g**4 + 485*g**3 - 2770*g**2 + 1680*g = 0.
-8/3, 0, 1, 42
Factor u**3 + 3039*u**2 - 9124*u + 6084.
(u - 2)*(u - 1)*(u + 3042)
Factor 2*m**2 - 848*m + 89790.
2*(m - 219)*(m - 205)
Find l such that l**4/8 + 1558*l**3 - 6234*l**2 = 0.
-12468, 0, 4
What is t in -3*t**4/5 + 25488*t**3 + 254913*t**2/5 - 892134*t/5 + 509784/5 = 0?
-4, 1, 42482
Factor t**3 + 892237*t**2 + 199022162160*t + 199021269924.
(t + 1)*(t + 446118)**2
Suppose -3*b**2/7 - 870*b/7 + 2637/7 = 0. Calculate b.
-293, 3
Determine w so that -2*w**5 - 218*w**4 + 450*w**3 + 658*w**2 - 896*w - 888 = 0.
-111, -1, 2
Determine a so that 4*a**3/3 + 379*a**2 - 1092*a - 34153/3 = 0.
-287, -17/4, 7
Find g such that g**2/4 + 1167*g/4 + 14275/2 = 0.
-1142, -25
Let 40*j**2 - 22585*j - 22625 = 0. Calculate j.
-1, 4525/8
Factor -c**4 - 648*c**3 + 16878*c**2 + 35696*c + 18171.
-(c - 27)*(c + 1)**2*(c + 673)
Factor -j**2/7 - 107564*j/7 - 2892503524/7.
-(j + 53782)**2/7
Factor -o**2/2 + 15321*o/2 - 7660.
-(o - 15320)*(o - 1)/2
Determine k, given that -2*k**5/7 + 1432*k**4/7 + 1440*k**3/7 - 4300*k**2/7 - 1438*k/7 + 2868/7 = 0.
-2, -1, 1, 717
Factor -4904*l**2/5 - 3142*l/5 + 402/5.
-2*(4*l + 3)*(613*l - 67)/5
Factor -2*n**2/5 - 210166*n/5.
-2*n*(n + 105083)/5
Factor 5*p**2 + 29590*p + 43778405.
5*(p + 2959)**2
Suppose q**3/6 + 35*q**2/3 - 539*q/6 = 0. Calculate q.
-77, 0, 7
Solve -3*k**2/7 - 5385*k/7 + 19500 = 0.
-1820, 25
Suppose k**4 + 5786*k**3 + 8386789*k**2 + 50164620*k + 75168900 = 0. What is k?
-2890, -3
Factor -2*a**2/3 + 7658*a/3 + 7664.
-2*(a - 3832)*(a + 3)/3
Solve 5*u**3 - 235120*u**2 = 0.
0, 47024
Solve 3*k**2/5 + 4152*k/5 = 0.
-1384, 0
Let 704*f**5 - 3920*f**4 - 20789*f**3 - 8464*f**2 - 1173*f - 54 = 0. What is f?
-3, -2/11, -1/8, 9
Let -3*v**4 - 1464*v**3 - 32013*v**2 + 33480*v = 0. What is v?
-465, -24, 0, 1
Solve 4*z**3 - 204*z**2 + 1784*z + 7296 = 0 for z.
-3, 16, 38
Factor 3*y**3/2 - 321*y**2/2 - 3327*y - 6000.
3*(y - 125)*(y + 2)*(y + 16)/2
Suppose -j**4/4 - 10401*j**3/4 - 20791*j**2/4 + 72789*j/4 - 10399 = 0. What is j?
-10399, -4, 1
Let 2*u**2/19 - 221652*u/19 + 6141201138/19 = 0. Calculate u.
55413
Solve 5*d**2 - 1567650*d + 3135280 = 0 for d.
2, 313528
Find y, given that y**3 - 359*y**2 + 40015*y - 1299657 = 0.
57, 151
Solve c**3/4 + 571*c**2/4 + 3395*c/4 + 2825/4 = 0.
-565, -5, -1
Let 3*k**2/4 - 3309*k - 92799/4 = 0. What is k?
-7, 4419
Factor 5*d**2 + 180590*d - 180595.
5*(d - 1)*(d + 36119)
Determine z, given that -2*z**3 + 694*z**2 - 13280*z + 65400 = 0.
10, 327
Factor x**3 - 213*x**2 + 14823*x - 338611.
(x - 91)*(x - 61)**2
What is d in d**3 + 13659*d**2 - 27321*d + 13661 = 0?
-13661, 1
Let -30545*t**3 - 30515*t**2 + 61120*t - 60 = 0. What is t?
-2, 6/6109, 1
Determine h so that -2*h**2 + 388424*h - 18859150472 = 0.
97106
Find s, given that 1108*s**3 - 97512*s**2 + 2145792*s - 15488 = 0.
2/277, 44
Factor -68*n**3 - 910*n**2 + 588*n.
-2*n*(n + 14)*(34*n - 21)
Determine x so that -3*x**5/8 + 675*x**4/8 - 8961*x**3/8 + 20649*x**2/8 + 12735*x/2 - 15825/2 = 0.
-2, 1, 5, 10, 211
Suppose u**5 - 513*u**4 - 4225*u**3 + 29797*u**2 - 52152*u + 27092 = 0. Calculate u.
-13, 1, 2, 521
Determine s so that s**2/2 - 935594*s + 437668066418 = 0.
935594
Let 2*c**5/3 - 14*c**4 - 742*c**3/3 - 594*c**2 + 4196*c/3 + 1760 = 0. What is c?
-8, -5, -1, 2, 33
Solve -2*i**3/5 - 1224*i**2/5 - 6078*i/5 - 4856/5 = 0 for i.
-607, -4, -1
Solve d**3/2 + 533*d**2/2 - 535*d = 0.
-535, 0, 2
Suppose p**4/2 - 161*p**3 + 17061*p**2/2 + 26726*p + 18034 = 0. Calculate p.
-2, -1, 71, 254
Factor 2*y**2/7 + 39056*y/7 + 190671392/7.
2*(y + 9764)**2/7
Factor -5*j**2 - 9130*j + 488280.
-5*(j - 52)*(j + 1878)
Let b**5 - 147*b**4 - 2*b**3 + 294*b**2 + b - 147 = 0. What is b?
-1, 1, 147
What is a in -10*a**3/3 - 5416*a**2/21 - 1994*a/21 + 88/3 = 0?
-77, -4/7, 1/5
Let -12*r**5 - 28*r**4 + 1336*r**3 + 1984*r**2 - 36352*r - 12288 = 0. What is r?
-8, -1/3, 6, 8
Factor -y**4 - 83*y**3 - 2066*y**2 - 9412*y + 150072.
-(y - 6)*(y + 26)**2*(y + 37)
Find t such that 4*t**3/5 - 8*t**2 - 148*t/5 - 104/5 = 0.
-2, -1, 13
Solve -7*n**2/4 + 6677*n/2 + 954 = 0.
-2/7, 1908
Suppose 2*y**5/11 + 60*y**4/11 - 1908*y**3/11 - 6848*y**2/11 + 332514*y/11 - 1429740/11 = 0. Calculate y.
-47, -15, 6, 13
Factor -z**2/2 + 1731*z/2 - 29680.
-(z - 1696)*(z - 35)/2
Factor w**3/5 - 85*w**2 + 38363*w/5 + 1494341/5.
(w - 227)**2*(w + 29)/5
Factor -f**2/4 + 6971*f/2 - 48594841/4.
-(f - 6971)**2/4
Factor 7263*i**2 + 130733*i/3 - 2.
(i + 6)*(21789*i - 1)/3
What is p in 3*p**3/7 - 22749*p**2/7 + 6498*p = 0?
0, 2, 7581
Find h, given that 2*h**4/3 - 90*h**3 - 4124*h**2/3 - 2384*h = 0.
-12, -2, 0, 149
Determine m so that -5*m**4 + 350*m**3 - 2005*m**2 - 12380*m - 13860 = 0.
-2, 11, 63
Let -2*f**5 - 14358*f**4 - 34213852*f**3 - 26711969076*f**2 + 833628329694*f + 860306099