*3/2 - 78045*u**2 + 1015872378*u - 18260424972.
3*(u - 26006)**2*(u - 18)/2
Factor -13*i**3/4 + 951*i**2/4 - 541*i/2 + 36.
-(i - 72)*(i - 1)*(13*i - 2)/4
Find i, given that -5*i**2 + 1022980*i + 1022985 = 0.
-1, 204597
Find b, given that -4*b**4 - 532*b**3 - 2556*b**2 + 532*b + 2560 = 0.
-128, -5, -1, 1
Let 2*h**4/21 + 139054*h**3/21 + 834180*h**2/7 + 5004792*h/7 + 10009296/7 = 0. What is h?
-69509, -6
Factor 4*w**2/7 + 114624*w/7 + 821166336/7.
4*(w + 14328)**2/7
Factor -4*x**3 + 2564*x**2.
-4*x**2*(x - 641)
What is f in -4*f**4 - 1648*f**3 + 22260*f**2 + 65200*f - 1190000 = 0?
-425, -7, 10
Factor 3*s**3 + 6171*s**2 - 31080*s - 309300.
3*(s - 10)*(s + 5)*(s + 2062)
Solve -4*i**3 - 20916*i**2 - 27415500*i - 190884988 = 0.
-2611, -7
Determine o, given that -2*o**3 + 622*o**2 - 3068*o + 2448 = 0.
1, 4, 306
Factor 2*v**5 - 1090*v**4 + 170100*v**3 - 10535000*v**2 + 229810000*v.
2*v*(v - 335)*(v - 70)**3
Determine w, given that w**3/8 + 145*w**2/4 + 16625*w/8 + 67375/2 = 0.
-220, -35
Determine x, given that -2*x**5/3 + 4814*x**4/3 + 6426*x**3 + 24106*x**2/3 + 9644*x/3 = 0.
-2, -1, 0, 2411
Factor t**4/8 - 17*t**3/8 - t**2/2 + 40*t.
t*(t - 16)*(t - 5)*(t + 4)/8
Determine s so that -7*s**5/5 - 507*s**4/10 - 26*s**3/5 + 1014*s**2/5 + 216*s/5 = 0.
-36, -2, -3/14, 0, 2
Factor 232324*v**2 + 5784*v + 36.
4*(241*v + 3)**2
Find w such that 2*w**4/5 + 26*w**3/5 - 106*w**2 - 26*w/5 + 528/5 = 0.
-24, -1, 1, 11
Factor -4*h**2 + 480*h + 56356.
-4*(h - 193)*(h + 73)
Solve 2*x**2/7 + 237152*x/7 + 7030133888/7 = 0.
-59288
Factor 4*x**2 + 11664*x.
4*x*(x + 2916)
Let 4*h**2/9 - 134536*h/9 - 134540/9 = 0. Calculate h.
-1, 33635
Factor -n**4 - 11*n**3 + 34*n**2 + 104*n.
-n*(n - 4)*(n + 2)*(n + 13)
Determine m so that 3*m**2 + 37692*m + 1053024 = 0.
-12536, -28
Factor -2*w**4/5 + 120*w**3 - 51948*w**2/5 + 295704*w/5 + 90263646/5.
-2*(w - 111)**3*(w + 33)/5
Solve r**5/7 + 64*r**4/7 - 78*r**3/7 - 43412*r**2/7 - 40979*r/7 + 510324/7 = 0 for r.
-43, -4, 3, 23
What is w in -w**5 - 31*w**4 - 88*w**3 + 588*w**2 + 1296*w = 0?
-27, -6, -2, 0, 4
Determine n, given that -3*n**4 + 2025*n**3 - 346653*n**2 + 1635135*n + 8080200 = 0.
-3, 8, 335
Factor -2*f**2/5 + 554894*f/5 + 554896/5.
-2*(f - 277448)*(f + 1)/5
Factor b**4 - 40*b**3 + 246*b**2 - 504*b + 297.
(b - 33)*(b - 3)**2*(b - 1)
Determine w, given that -w**5/8 + 181*w**4/8 + 1501*w**3/8 + 2087*w**2/8 - 375*w/2 - 567/2 = 0.
-6, -2, -1, 1, 189
Factor -p**2/4 - 103*p/4 - 1073/2.
-(p + 29)*(p + 74)/4
Find r, given that -2*r**2/9 - 127820*r/9 - 14202 = 0.
-63909, -1
Determine c so that -3*c**4/5 + 2184*c**3/5 - 40461*c**2/5 + 33924*c/5 + 76572/5 = 0.
-1, 2, 18, 709
Factor 3*u**3/4 - 5271*u**2 + 9240027*u + 74257944.
3*(u - 3518)**2*(u + 8)/4
What is n in n**2/4 - 1227*n/4 - 135106 = 0?
-344, 1571
Determine u so that u**4/6 - 6781*u**3/3 + 22593*u**2/2 + 13557*u = 0.
-1, 0, 6, 13557
Solve n**5/4 - 19*n**4/2 + 145*n**3/2 - 220*n**2 + 1149*n/4 - 261/2 = 0.
1, 2, 3, 29
Factor 5*s**2 + 178780*s + 178775.
5*(s + 1)*(s + 35755)
Factor m**2 + 28190*m + 198669025.
(m + 14095)**2
Factor b**2 + 216026*b + 432048.
(b + 2)*(b + 216024)
Determine q so that 2*q**4 + 5466*q**3 + 49080*q**2 + 130792*q + 108960 = 0.
-2724, -5, -2
Factor s**2/3 + 76099*s/3 + 25366.
(s + 1)*(s + 76098)/3
Find h, given that -9*h**5 - 246*h**4 + 5748*h**3 + 8376*h**2 - 8064*h = 0.
-42, -2, 0, 2/3, 16
Factor 3*s**4/2 - 54333*s**3 + 655744752*s**2 - 2633681352291*s - 79305892606755/2.
3*(s - 12079)**3*(s + 15)/2
Factor -3*u**4 - 135396*u**3 - 1527808458*u**2 - 3055210740*u - 1527537675.
-3*(u + 1)**2*(u + 22565)**2
Factor -t**2 - 752732*t - 141651365956.
-(t + 376366)**2
Determine h so that 35*h**3 - 2602870*h**2 + 4461940*h + 1487320 = 0.
-2/7, 2, 74366
What is x in -x**4 - 7*x**3 + 316*x**2 - 1148*x + 1104 = 0?
-23, 2, 12
Factor -2*n**4 + 1250*n**3 - 253206*n**2 + 16415622*n.
-2*n*(n - 243)**2*(n - 139)
Solve -2*k**2 - 1538420*k - 295842012050 = 0 for k.
-384605
Factor -y**2/5 + 1416*y - 7079/5.
-(y - 7079)*(y - 1)/5
Factor -2*l**3/5 + 3002*l**2/5 - 228566*l + 2442110.
-2*(l - 745)**2*(l - 11)/5
Factor n**3/6 - 4*n**2 - 2101*n/6 + 354.
(n - 59)*(n - 1)*(n + 36)/6
Factor 4*l**4 - 2216*l**3 - 12*l**2 + 6640*l + 4432.
4*(l - 554)*(l - 2)*(l + 1)**2
Determine h, given that 3*h**3/7 + 3054*h**2/7 + 937728*h/7 + 76883040/7 = 0.
-444, -130
Find h such that 4*h**5 - 984*h**4 - 16444*h**3 - 84384*h**2 - 132048*h = 0.
-7, -6, -3, 0, 262
Solve 795*a**3 + 35785*a**2 - 36120*a - 460 = 0.
-46, -2/159, 1
Factor x**2 + 12369*x + 12368.
(x + 1)*(x + 12368)
Solve b**4/5 - 249*b**3/5 + 6847*b**2/5 + 1192749*b/5 + 1185652/5 = 0.
-52, -1, 151
Determine s, given that s**4/3 + 337*s**3/6 - 2269*s**2/3 - 2353*s/6 = 0.
-181, -1/2, 0, 13
Factor k**4 + 25*k**3 - 53*k**2 + 27*k.
k*(k - 1)**2*(k + 27)
Factor -2*v**2/13 - 24*v + 6650/13.
-2*(v - 19)*(v + 175)/13
Let d**5/7 + 551*d**4/7 - 5*d**3/7 - 2755*d**2/7 + 4*d/7 + 2204/7 = 0. What is d?
-551, -2, -1, 1, 2
Suppose -w**2/4 + 4309*w/4 + 38943/2 = 0. What is w?
-18, 4327
Factor 5*d**3 - 114610*d**2 - 114615*d.
5*d*(d - 22923)*(d + 1)
Factor p**2 - 326*p + 16368.
(p - 264)*(p - 62)
What is m in 75*m**3/2 - 15*m**2 - 273*m/8 + 147/8 = 0?
-1, 7/10
Factor 4*b**2 - 3360*b + 340784.
4*(b - 722)*(b - 118)
Determine g, given that -4*g**5 - 6008*g**4 - 125064*g**3 - 979760*g**2 - 3409300*g - 4443000 = 0.
-1481, -6, -5
Factor -29*p**2 + 866*p - 1512.
-(p - 28)*(29*p - 54)
What is c in -3*c**2/8 - 1113*c/4 - 373935/8 = 0?
-485, -257
Suppose 3*y**4 + 705*y**3 - 170775*y**2 + 10390875*y - 199650000 = 0. Calculate y.
-400, 55
Solve 29*s**4 + 215*s**3 - 1917*s**2 + 2565*s + 1404 = 0.
-13, -12/29, 3
Solve 4*q**5/9 + 22714*q**4/9 - 26510*q**3/3 + 102266*q**2/9 - 56818*q/9 + 3788/3 = 0.
-5682, 1/2, 1
Solve 2*l**2/17 - 1433808*l/17 + 256975672608/17 = 0 for l.
358452
Solve 3*p**2 - 804144*p + 53887297728 = 0 for p.
134024
Let -w**4/5 + w**3 + w**2 - 9*w + 36/5 = 0. What is w?
-3, 1, 3, 4
Factor n**3/3 + 89*n**2/3 - 506*n/3 - 1128.
(n - 9)*(n + 4)*(n + 94)/3
Suppose -4*q**2 - 49622*q + 24812 = 0. What is q?
-12406, 1/2
Find h, given that 2*h**4/13 + 16*h**3 - 30182*h**2/13 + 59732*h/13 - 29760/13 = 0.
-186, 1, 80
Find b such that -3*b**3/5 - 1752*b**2/5 + 10593*b/5 - 3186 = 0.
-590, 3
Solve 744*h**3/5 + 164*h**2/5 - 11*h/10 = 0 for h.
-1/4, 0, 11/372
Suppose -484*p**5/3 + 611600*p**4/3 + 222932*p**3/3 - 591376*p**2/3 - 222448*p/3 - 20224/3 = 0. Calculate p.
-1, -2/11, 1, 1264
Let 2*y**4 - 366*y**3 + 22662*y**2 - 502370*y + 1669800 = 0. Calculate y.
4, 55, 69
Find u, given that 2*u**4 - 29*u**3 + 83*u**2 + 114*u = 0.
-1, 0, 6, 19/2
Suppose -3*p**3/5 + 174*p**2/5 + 140793*p/5 + 140616/5 = 0. What is p?
-189, -1, 248
Solve -i**3 - 1617*i**2 - 3231*i - 1615 = 0 for i.
-1615, -1
Solve 4*x**4 - 1644*x**3 + 9692*x**2 + 11340*x = 0 for x.
-1, 0, 7, 405
Determine j so that -45*j**5/2 - 279987*j**4/2 + 858937*j**3/2 - 703389*j**2/2 + 112048*j - 12450 = 0.
-6225, 1/3, 2/5, 2
Factor -p**2 - 389*p + 782.
-(p - 2)*(p + 391)
Suppose k**4/5 - 27*k**3/5 + 137*k**2/5 + 123*k + 90 = 0. Calculate k.
-2, -1, 15
Solve 2*y**3/3 - 34*y**2 - 2160*y + 110808 = 0.
-57, 54
Find m, given that m**5 + 123*m**4 + 4385*m**3 + 24005*m**2 - 612786*m + 584272 = 0.
-53, -26, 1, 8
Suppose -30*l**2 + 12985*l + 2165 = 0. What is l?
-1/6, 433
Find y such that -y**3 - 14599*y**2 - 53055695*y + 1658785975 = 0.
-7315, 31
Solve -2*q**2/9 + 724*q/9 + 15904 = 0 for q.
-142, 504
Suppose 4*a**3 + 223712*a**2/3 + 347573876*a + 231682776 = 0. What is a?
-9321, -2/3
Factor -5*i**3 + 620*i**2 + 59540*i + 116560.
-5*(i - 188)*(i + 2)*(i + 62)
Let -v**5/7 - 107*v**4/7 - 306*v**3/7 + 652*v**2/7 + 2936*v/7 + 2496/7 = 0. What is v?
-104, -2, 3
Solve 2*a**2 - 2474*a + 2472 = 0 for a.
1, 1236
Find x such that 10*x**2/3 + 727*x + 2151 = 0.
-2151/10, -3
Factor a**2/4 - 795*a/4.
a*(a - 795)/4
Factor -2*l**4/15 - 76*l**3/5 - 6722*l**2/15 - 4256*l/5 - 6272/15.
-2*(l + 1)**2*(l + 56)**2/15
Factor -3*l**2 + 199935*l + 599832.
-3*(l - 66648)*(l + 3)
What is p in -20*p**4 + 642*p**3 + 297400*p**2 - 29874*p - 59492 = 0?
-107, -2/5, 1/2, 139
Suppose -g**4/4 + 18*g**3 - 336*g**2 + 2432*g - 6144 = 0. Calculate g.
8, 48
Factor 4*u**2 + 45804*u - 642040.
4*(u - 14)*(u + 11465)
Let v**2/7 + 336375*v/7 = 0. What is v?
-336375, 0
Determine 