t -2*z**3 - 2780*z**2 + 5574*z + 8352 = 0.
-1392, -1, 3
Suppose -2*y**2 - 20420*y - 244752 = 0. Calculate y.
-10198, -12
Factor -c**3/5 - 83*c**2/5 + 7084*c - 14100.
-(c - 150)*(c - 2)*(c + 235)/5
Suppose 2*z**3/7 - 334766*z**2/7 = 0. What is z?
0, 167383
Factor -q**2/4 - 71*q/4 - 165.
-(q + 11)*(q + 60)/4
What is s in -2*s**4/5 + 902*s**3/5 - 24750*s**2 + 1082970*s - 1058400 = 0?
1, 105, 240
Solve -5*q**3 - 321160*q**2 - 963445*q - 642290 = 0 for q.
-64229, -2, -1
Let -81*u**5/5 - 54639*u**4/5 - 9495472*u**3/5 - 93981276*u**2/5 + 43178592*u/5 - 4849856/5 = 0. Calculate u.
-332, -11, 2/9
Factor -r**4/6 - 65*r**3/3 - 2624*r**2/3 - 11264*r.
-r*(r + 32)**2*(r + 66)/6
Solve -155*h**5 + 595*h**4 + 2995*h**3 - 10275*h**2 - 15480*h + 41040 = 0 for h.
-3, 57/31, 4
Find i, given that 5*i**2 + 24975*i - 49970 = 0.
-4997, 2
Find q, given that -q**5/3 - 158*q**4 - 1248*q**3 - 7456*q**2/3 = 0.
-466, -4, 0
Factor 2*u**2/9 - 2582*u/9 + 8540/3.
2*(u - 1281)*(u - 10)/9
Factor 5*x**3 + 1095*x**2 - 16245*x + 15145.
5*(x - 13)*(x - 1)*(x + 233)
Let -5*h**3 - 161640*h**2 + 969975*h - 1455030 = 0. What is h?
-32334, 3
Find o, given that 3*o**3/2 - 6174*o**2 + 74007*o/2 - 55485 = 0.
3, 4110
Suppose v**4 - 78588*v**3 - 157179*v**2 - 78590*v = 0. What is v?
-1, 0, 78590
Factor -b**2 - 4985*b + 29946.
-(b - 6)*(b + 4991)
Find r such that 2*r**2/7 + 57450*r/7 - 24624 = 0.
-28728, 3
Factor z**3/3 - 178*z**2/3 + 3655*z/3 - 4650.
(z - 155)*(z - 18)*(z - 5)/3
Determine c, given that -13*c**2/2 - 2719*c - 5412 = 0.
-5412/13, -2
Determine h, given that 5*h**4 + 514210*h**3 + 13219567745*h**2 - 52884441660*h + 52886498580 = 0.
-51423, 2
Factor -2*g**3 + 6*g**2 + 1112*g + 2184.
-2*(g - 26)*(g + 2)*(g + 21)
Factor -4*t**4/3 - 100*t**3 - 564*t**2 - 828*t.
-4*t*(t + 3)**2*(t + 69)/3
Factor -x**3 - 8704*x**2 + 122028*x - 209232.
-(x - 12)*(x - 2)*(x + 8718)
What is p in 2*p**5 - 134*p**4/11 - 50*p**3/11 + 1206*p**2/11 - 324*p/11 - 3024/11 = 0?
-2, -21/11, 3, 4
Factor -5*m**3 - 490*m**2 + 7005*m - 23310.
-5*(m - 7)*(m - 6)*(m + 111)
Find o such that -o**2 - 1367058*o - 467211893841 = 0.
-683529
Factor -3*q**2 - 27207*q - 27204.
-3*(q + 1)*(q + 9068)
Solve 4*l**4 - 248*l**3 - 23488*l**2 + 48632*l + 71868 = 0 for l.
-53, -1, 3, 113
Factor -n**3/6 + 97*n**2/6 - 132*n - 4200.
-(n - 84)*(n - 25)*(n + 12)/6
Factor t**2 + 754*t - 114920.
(t - 130)*(t + 884)
Factor 2*f**3/21 - 24734*f**2/21 + 25494570*f/7 - 25486326/7.
2*(f - 6183)**2*(f - 1)/21
Find k, given that -4*k**4/3 + 37904*k**3/3 + 645524*k**2/3 = 0.
-17, 0, 9493
Determine d, given that 27*d**2 + 291*d + 474 = 0.
-79/9, -2
Let -k**4 - 429*k**3 - 2969*k**2 - 6339*k - 3798 = 0. What is k?
-422, -3, -1
Let n**3/2 + 50357*n**2 - 201434*n + 201436 = 0. What is n?
-100718, 2
Determine p so that -3*p**3 + 3003*p**2 + 3006*p = 0.
-1, 0, 1002
Factor d**4/5 + 26874*d**3/5 + 180606709*d**2/5 + 144420876*d + 144399380.
(d + 2)**2*(d + 13435)**2/5
Solve -900*l**4/7 + 115440*l**3/7 - 689536*l**2/7 + 177728*l/7 - 11712/7 = 0 for l.
2/15, 6, 122
Factor -b**2 - 93*b - 356.
-(b + 4)*(b + 89)
Factor -3*f**2/4 + 50667*f/2 - 855714963/4.
-3*(f - 16889)**2/4
Determine h so that -2*h**5/9 + 454*h**4/3 - 232550*h**3/9 + 24934*h**2 + 1151920*h/9 + 231200/3 = 0.
-1, 3, 340
Let 8797156*g**3/3 - 8518352*g**2/3 - 276595*g/3 - 2209/3 = 0. Calculate g.
-47/2966, 1
Determine a so that -10*a**2/9 + 1037474*a/9 - 414988/9 = 0.
2/5, 103747
Solve -2*h**4/7 + 3748*h**3/7 - 1763400*h**2/7 + 6975100*h/7 + 8742250/7 = 0.
-1, 5, 935
Find q, given that -12142*q**5/3 - 485674*q**4/15 - 303534*q**3/5 + 97154*q**2/3 + 971312*q/15 - 32/5 = 0.
-4, -1, 3/30355, 1
Factor -s**4/4 - 53*s**3/4 + 517*s**2 - 1840*s.
-s*(s - 23)*(s - 4)*(s + 80)/4
Factor -y**2 - 400718*y - 40143728881.
-(y + 200359)**2
Let k**4/4 + 111*k**3/2 + 4201*k**2/4 - 225330*k + 4120900 = 0. What is k?
-140, 29
Solve -9*r**5/4 + 33*r**4/4 + 579*r**3/4 + 1503*r**2/4 + 615*r/2 + 66 = 0.
-4, -2, -1, -1/3, 11
Factor 6889*x**3 + 4897*x**2 - 1848*x + 144.
(x + 1)*(83*x - 12)**2
Factor -5*l**3 - 15*l**2 + 4370*l + 17400.
-5*(l - 30)*(l + 4)*(l + 29)
Find g, given that -32*g**4/7 + 140*g**3 + 1588*g**2/7 - 5688*g/7 - 2304/7 = 0.
-3, -3/8, 2, 32
Factor 2*f**2 + 1638*f + 215820.
2*(f + 165)*(f + 654)
Solve -3*f**3 + 9171*f**2 - 309213*f + 2620941 = 0 for f.
17, 3023
Factor -3*h**4 - 11628*h**3 - 11625*h**2.
-3*h**2*(h + 1)*(h + 3875)
Let 11*u**5 + 547*u**4 + 6516*u**3 + 11948*u**2 - 34352*u - 40320 = 0. Calculate u.
-360/11, -14, -4, -1, 2
Factor 2*v**4/17 + 5442*v**3/17 - 5444*v**2/17.
2*v**2*(v - 1)*(v + 2722)/17
Let 16*o**3 + 68*o**2 - 228*o - 360 = 0. What is o?
-6, -5/4, 3
What is j in 4*j**3 + 170264*j**2 - 340540*j + 170272 = 0?
-42568, 1
Suppose 10*z**5 - 42965*z**4 + 46117540*z**3 + 69273010*z**2 + 21490*z - 23091005 = 0. Calculate z.
-1, 1/2, 2149
Let -v**3 + 64959*v**2 - 1054950399*v + 1054885441 = 0. What is v?
1, 32479
Suppose k**5/2 + 26*k**4 + 197*k**3 - 5342*k**2 - 77227*k/2 + 43732 = 0. Calculate k.
-29, -8, 1, 13
Solve 3*r**3/8 - 36177*r**2/2 - 1302615*r/8 = 0.
-9, 0, 48245
Determine r so that r**2/12 + 555*r/2 - 3334/3 = 0.
-3334, 4
Determine g, given that g**4/3 + 2*g**3/3 - 89*g**2/3 + 114*g - 120 = 0.
-12, 2, 3, 5
Determine u so that -2*u**2/19 + 287792*u/19 - 10353029408/19 = 0.
71948
Factor 2*h**4 - 220*h**3 + 6166*h**2 - 11468*h.
2*h*(h - 61)*(h - 47)*(h - 2)
Solve -w**5/2 - 5*w**4/2 + 57*w**3 + 301*w**2 + 847*w/2 + 363/2 = 0 for w.
-11, -3, -1, 11
Factor 5*u**3 + 785*u**2 + 22380*u + 21600.
5*(u + 1)*(u + 36)*(u + 120)
Determine h so that -2*h**5 + 488*h**4 - 2870*h**3 + 3320*h**2 + 2872*h - 3808 = 0.
-1, 1, 2, 4, 238
Let -q**2/2 - 559527*q - 313070463729/2 = 0. What is q?
-559527
Let -5*i**2 + 3105*i - 333270 = 0. Calculate i.
138, 483
Determine t, given that 2*t**5/13 - 772*t**4/13 - 10314*t**3/13 - 23948*t**2/13 + 3112*t/13 + 31920/13 = 0.
-10, -2, 1, 399
Solve 2*q**4/11 - 9216*q**3/11 + 80360*q**2 = 0 for q.
0, 98, 4510
Factor -5*a**2/4 - 2505*a/4 - 10285.
-5*(a + 17)*(a + 484)/4
Factor 2*w**2/5 + 157652*w + 15533845690.
2*(w + 197065)**2/5
Find z, given that z**2 - 51*z/2 + 140 = 0.
8, 35/2
Determine a, given that a**3/7 + 2312*a**2/7 + 9236*a/7 + 9232/7 = 0.
-2308, -2
Factor -5*r**4 - 21120*r**3 - 22387040*r**2 - 178083840*r - 355493120.
-5*(r + 4)**2*(r + 2108)**2
Let 3*a**2/2 - 209673*a - 419349/2 = 0. What is a?
-1, 139783
Find x such that -3*x**3 - 28590*x**2 + 12*x + 114360 = 0.
-9530, -2, 2
Determine v, given that 7*v**4/4 + 1984*v**3 + 5663*v**2/4 - 1133*v/2 = 0.
-1133, -1, 0, 2/7
Factor i**2/3 - 3650*i/3 + 3649/3.
(i - 3649)*(i - 1)/3
Factor 5*d**3 + 44595*d**2 + 3009340*d.
5*d*(d + 68)*(d + 8851)
Suppose -2*n**2/9 + 5762*n/3 + 138416/9 = 0. What is n?
-8, 8651
Factor -4*r**2/3 + 2*r/3 + 272/3.
-2*(r + 8)*(2*r - 17)/3
Factor 2*k**2 + 95540*k + 1140986450.
2*(k + 23885)**2
Solve 21*s**4/8 + 975*s**3/4 - 75*s**2/2 - 975*s/4 + 279/8 = 0 for s.
-93, -1, 1/7, 1
Solve -4*f**4 - 204*f**3 + 4*f**2 + 204*f = 0.
-51, -1, 0, 1
Let 5*t**2/3 - 1325765*t/3 - 1325770/3 = 0. Calculate t.
-1, 265154
What is h in 4*h**5 + 29*h**4 - 57*h**3 - 198*h**2 = 0?
-33/4, -2, 0, 3
What is z in -2*z**4/21 - 274*z**3/21 + 82*z**2/3 + 822*z/7 - 1668/7 = 0?
-139, -3, 2, 3
Find z such that -9*z**5/4 + 38*z**4 + 945*z**3/4 + 361*z**2 + 165*z = 0.
-3, -10/9, -1, 0, 22
Determine p, given that 15*p**5/8 - 207*p**4/8 + 15*p**3/8 + 1647*p**2/8 + 1173*p/4 + 117 = 0.
-6/5, -1, 4, 13
Let 2*t**4 - 486*t**3 - 6588*t**2 - 17504*t + 24576 = 0. What is t?
-8, -6, 1, 256
Factor -h**5/3 + 440*h**4/3 - 49702*h**3/3 + 95480*h**2 - 141267*h.
-h*(h - 217)**2*(h - 3)**2/3
Determine m, given that -11*m**3/4 + 5651*m**2 + 24671*m/4 + 514 = 0.
-1, -1/11, 2056
Factor -1003*x**2/5 - 33097*x/5 + 66/5.
-(x + 33)*(1003*x - 2)/5
Find k, given that -k**3 - 1121*k**2 + 21702*k + 47880 = 0.
-1140, -2, 21
Solve 196*j**3 - 28392*j**2 - 149904*j - 194400 = 0 for j.
-18/7, 150
Let -2*i**2 + 152404*i - 2903372402 = 0. What is i?
38101
Find a such that -28*a**5 + 36*a**4 + 11276*a**3 + 7836*a**2 - 25504*a + 6384 = 0.
-19, -2, 2/7, 1, 21
Factor -3*r**3 - 8460*r**2 + 101991*r + 110448.
-3*(r - 13)*(r + 1)*(r + 2832)
Factor 2*w**2/5 + 2912*w/5 - 8754/5.
2*(w - 3)*(w + 1459)/5
Find p, given that -468*p**3/17 - 13106*p**2/17 - 44984*p/17 - 192/17 = 0.
-