1
Find y such that -y**4/5 + 624*y**3/5 - 53037*y**2/5 - 21590*y - 54288/5 = 0.
-1, 104, 522
Factor -4*d**2 - 37416*d - 560340.
-4*(d + 15)*(d + 9339)
Let r**5/7 - 28*r**4 - 54*r**3/7 + 10368*r**2/7 + 42093*r/7 + 6804 = 0. What is r?
-3, 9, 196
Determine r, given that r**4/5 - 3983*r**3/5 - 23922*r**2/5 - 9572*r - 31912/5 = 0.
-2, 3989
Factor 3*y**4 + 53658*y**3 + 240092667*y**2 + 1439107560*y + 2157937200.
3*(y + 3)**2*(y + 8940)**2
Determine v so that -v**4/6 - 127*v**3/3 - 253*v**2/6 = 0.
-253, -1, 0
Solve -2*f**4 + 2*f**3 + 746*f**2 - 2594*f - 14280 = 0 for f.
-20, -3, 7, 17
Suppose -4*j**4/3 - 127*j**3/3 - 1094*j**2/3 - 2453*j/3 - 494 = 0. Calculate j.
-19, -39/4, -2, -1
Let 38*b**5/11 - 870*b**4/11 + 1466*b**3/11 + 1038*b**2/11 - 1504*b/11 - 168/11 = 0. Calculate b.
-1, -2/19, 1, 2, 21
Solve 2*u**4/7 - 2362*u**3/7 - 21404*u**2/7 - 2720*u = 0.
-8, -1, 0, 1190
Factor 5*x**2/4 - 331585*x/4 - 331595/2.
5*(x - 66319)*(x + 2)/4
Find g, given that -3*g**2 + 12105*g + 526062 = 0.
-43, 4078
What is l in -l**5/3 + 23*l**4/3 - 62*l**3 + 574*l**2/3 - 245*l/3 - 343 = 0?
-1, 3, 7
Factor 2*r**2 - 5316*r + 193954.
2*(r - 2621)*(r - 37)
Determine b so that -3*b**3/7 - 6324*b**2/7 - 6285*b/7 + 10836 = 0.
-2107, -4, 3
Factor -5*f**2/2 + 16165*f/2 + 8085.
-5*(f - 3234)*(f + 1)/2
Suppose 25*w**3 - 16762*w**2 - 135296*w - 271392 = 0. Calculate w.
-4, 16962/25
Find p such that 2*p**2 + 7606*p + 954980 = 0.
-3673, -130
Let -3*i**5/11 + 172*i**4/11 + 483*i**3/11 - 168*i**2/11 - 724*i/11 + 240/11 = 0. Calculate i.
-2, 1/3, 1, 60
Factor -o**3/9 - 17953*o**2/9 + o/9 + 17953/9.
-(o - 1)*(o + 1)*(o + 17953)/9
Find d such that d**3/10 + 31121*d**2/5 - 373479*d/10 + 280116/5 = 0.
-62248, 3
Factor -2*n**2 - 1851310*n + 1851312.
-2*(n - 1)*(n + 925656)
Find n, given that -4*n**2 + 138104*n - 138100 = 0.
1, 34525
Factor -2*u**5 + 88*u**4 - 80*u**3 - 268*u**2 + 434*u - 172.
-2*(u - 43)*(u - 1)**3*(u + 2)
Factor -2566404*m**3 - 7686396*m**2 + 38432*m - 48.
-4*(m + 3)*(801*m - 2)**2
Find o, given that -o**3 + 193*o**2 + 131968*o - 132160 = 0.
-280, 1, 472
Find j such that -2*j**4/3 - 1376*j**3/3 - 75136*j**2 + 3874816*j/3 - 15859712/3 = 0.
-352, 8
Let 3*x**5/5 - 1334*x**4/5 + 194922*x**3/5 - 2076352*x**2 + 184566363*x/5 - 118487618/5 = 0. What is x?
2/3, 43, 179
Factor -3*c**3/7 - 828*c**2/7 + 48*c/7 + 13248/7.
-3*(c - 4)*(c + 4)*(c + 276)/7
Factor 3*t**2 - 147264*t + 294516.
3*(t - 49086)*(t - 2)
Factor n**3/4 + 1298*n**2 + 20755*n/4 + 3891.
(n + 1)*(n + 3)*(n + 5188)/4
Let g**5/3 - 1279*g**4 + 3682559*g**3/3 - 3674887*g**2/3 - 1227520*g + 3678724/3 = 0. Calculate g.
-1, 1, 1918
Let 38*l**2/7 + 90*l/7 - 128/7 = 0. What is l?
-64/19, 1
What is x in 4*x**3 + 138428*x**2 + 1197713660*x + 1197575236 = 0?
-17303, -1
Factor 3*b**2/4 - 29499*b/2 - 29502.
3*(b - 19668)*(b + 2)/4
Determine f, given that 2*f**3 - 554*f**2 - 8760*f = 0.
-15, 0, 292
Solve -121*b**2 - 150*b = 0 for b.
-150/121, 0
Let -4*y**2 + 12368*y - 61740 = 0. Calculate y.
5, 3087
Find n such that -n**2/8 + 3945*n/8 + 27713/4 = 0.
-14, 3959
Factor -22*v**2 + 3156*v + 1728.
-2*(v - 144)*(11*v + 6)
What is s in 2*s**2/3 + 72004*s + 216010/3 = 0?
-108005, -1
Suppose -w**2/5 + 2484*w/5 - 1542564/5 = 0. What is w?
1242
Factor g**2/8 + 2183*g/4 + 1091.
(g + 2)*(g + 4364)/8
Find c, given that 2*c**4/5 + 44*c**3 + 1528*c**2/5 - 29596*c/5 - 30906/5 = 0.
-101, -17, -1, 9
Find p, given that p**3 - 117*p**2 + 882*p + 9720 = 0.
-6, 15, 108
Solve 5*c**2 + 3145*c + 397250 = 0 for c.
-454, -175
Solve 2*u**3/3 - 1742*u**2 + 13898*u - 36470/3 = 0.
1, 7, 2605
Factor q**5 - 42*q**4 + 24*q**3 + 9632*q**2 + 18816*q.
q*(q - 28)**2*(q + 2)*(q + 12)
Determine c, given that -3*c**4/2 + 60849*c**3/2 + 9*c**2/2 - 182553*c/2 + 60849 = 0.
-2, 1, 20283
Factor 13*t**3 + 122735*t**2 - 226636*t - 37772.
(t - 2)*(t + 9443)*(13*t + 2)
What is x in -1284*x**5 - 45951*x**4 - 78756*x**3 - 24387*x**2 + 10110*x + 408 = 0?
-34, -1, -4/107, 1/4
Factor w**4 + 33*w**3 + 119*w**2 + 87*w.
w*(w + 1)*(w + 3)*(w + 29)
Determine d, given that -d**3 - 67*d**2 + 360*d = 0.
-72, 0, 5
Determine c so that 2*c**5/3 + 2978*c**4/3 + 376842*c**3 + 16247902*c**2/3 - 17381408*c/3 = 0.
-737, -16, 0, 1
Find j such that -2*j**4/13 - 34*j**3/13 + 9956*j**2/13 - 9920*j/13 = 0.
-80, 0, 1, 62
Factor l**5/3 + 9*l**4 - 30*l**3.
l**3*(l - 3)*(l + 30)/3
Solve -16*h**3/3 - 238*h**2 - 2354*h/3 + 328 = 0.
-41, -4, 3/8
Factor 25*k**2/2 + 14511*k - 3483/2.
(k + 1161)*(25*k - 3)/2
Suppose -g**5/6 + 37*g**4/2 - 215*g**3/3 + 35*g**2 + 431*g/6 - 107/2 = 0. Calculate g.
-1, 1, 3, 107
Let -z**3 + 384*z**2 + 771*z + 386 = 0. What is z?
-1, 386
Determine q, given that -4*q**5 + 4120*q**4 - 1056764*q**3 - 2134168*q**2 + 1056768*q + 2130048 = 0.
-2, -1, 1, 516
Let -3*f**5 - 1704*f**4 + 5154*f**3 + 8556*f**2 - 5151*f - 6852 = 0. Calculate f.
-571, -1, 1, 4
Factor -2*i**2 + 117048*i - 117046.
-2*(i - 58523)*(i - 1)
Factor -k**3 - 596*k**2 - 1185*k + 1782.
-(k - 1)*(k + 3)*(k + 594)
Factor h**3/10 + 15*h**2 - 972*h/5.
h*(h - 12)*(h + 162)/10
Factor -3*x**5 + 59865*x**4.
-3*x**4*(x - 19955)
Let -2*v**5/3 + 38*v**4/3 - 38*v**3 - 638*v**2/3 - 484*v/3 = 0. Calculate v.
-2, -1, 0, 11
Solve -j**3/7 - 139*j**2/7 + 1730*j/7 + 12000/7 = 0 for j.
-150, -5, 16
Determine y so that 3*y**2 - 375*y + 4368 = 0.
13, 112
Factor 14*b**3/3 + 1063*b**2/3 + 3956*b/3 - 96.
(b + 4)*(b + 72)*(14*b - 1)/3
What is j in -5*j**3/4 + 48*j**2 + 81*j - 40 = 0?
-2, 2/5, 40
Let 4075*l**5 - 96070*l**4 + 300820*l**3 - 181640*l**2 - 135040*l - 3200 = 0. Calculate l.
-2/5, -4/163, 2, 20
Let 2*n**5 + 34*n**4 + 114*n**3 - 562*n**2 - 1988*n + 4704 = 0. What is n?
-8, -7, 2, 3
Factor a**3 + 7049*a**2 - 14101*a + 7051.
(a - 1)**2*(a + 7051)
Determine q so that -3*q**4/4 + 2319*q**3/2 - 27735*q**2/4 + 5775*q = 0.
0, 1, 5, 1540
Let -t**4/4 + 7*t**3/2 + 8*t**2 - 567*t/2 + 3969/4 = 0. Calculate t.
-9, 7, 9
Factor -h**3/4 + 3415*h**2 - 354653*h/4 + 1152073/2.
-(h - 13634)*(h - 13)**2/4
Solve v**5/2 - 58*v**4 + 1620*v**3 + 3773*v**2 - 16697*v/2 - 10443 = 0 for v.
-3, -1, 2, 59
Factor w**3/4 - 34609*w**2/4 + 74848450*w + 224623227.
(w - 17306)**2*(w + 3)/4
What is t in -5*t**4 - 190*t**3 + 2340*t**2 + 21880*t - 51520 = 0?
-46, -8, 2, 14
Factor -o**2/9 + 89*o/9 + 29882/9.
-(o - 223)*(o + 134)/9
Solve 3*w**2 + 587796*w + 28792011468 = 0.
-97966
Suppose k**5 + 879*k**4 - 19725*k**3 + 87661*k**2 + 238008*k + 129744 = 0. What is k?
-901, -1, 12
Factor z**5/6 - 5783*z**4/6 + 8369443*z**3/6 - 25073641*z**2/6 + 12531040*z/3 - 4176050/3.
(z - 2890)**2*(z - 1)**3/6
Solve 14*d**5 + 167*d**4 + 240*d**3 - 1082*d**2 + 706*d - 45 = 0.
-9, -5, 1/14, 1
Solve -14*n**4 + 3424*n**3 + 44222*n**2/9 + 14264*n/9 + 328/3 = 0 for n.
-1, -1/3, -2/21, 246
Suppose 2*h**3/19 - 3476*h**2/19 + 13880*h/19 - 13872/19 = 0. What is h?
2, 1734
Find p, given that -2*p**3/9 + 68*p**2/9 - 704*p/9 + 256 = 0.
8, 18
Factor -2*b**3 - 540*b**2 + 3914*b + 9972.
-2*(b - 9)*(b + 2)*(b + 277)
Solve 16*t**3/3 + 7741*t**2/3 - 5668*t + 972 = 0 for t.
-486, 3/16, 2
Solve -98*k**3/9 + 46130*k**2/9 - 1817168*k/3 + 600608 = 0 for k.
1, 1644/7
Determine y, given that -140*y**5 - 2252*y**4 + 16748*y**3 - 31588*y**2 + 15648*y + 1584 = 0.
-22, -3/35, 1, 2, 3
Determine t so that -94*t**5 + 9970*t**4 - 20282*t**3 + 11030*t**2 - 624*t = 0.
0, 3/47, 1, 104
Solve -4*x**2/7 + 4220*x/7 + 517704/7 = 0.
-111, 1166
Let 2*g**2/3 + 124094*g/3 - 124096/3 = 0. What is g?
-62048, 1
Factor 242*w**3/3 - 12218558*w**2/3 - 4443184*w - 1211784.
2*(w - 50491)*(11*w + 6)**2/3
Let 5*t**4 + 149340*t**3 - 5*t**2 - 149340*t = 0. Calculate t.
-29868, -1, 0, 1
Find q, given that 3*q**4 + 1446*q**3 - 2901*q**2 + 1452*q = 0.
-484, 0, 1
Suppose -r**5 + 36*r**4 - 96*r**3 - 106*r**2 + 225*r + 198 = 0. Calculate r.
-1, 2, 3, 33
Factor 4*g**4 + 5740*g**3 + 2073524*g**2 + 10258820*g + 12269400.
4*(g + 2)*(g + 3)*(g + 715)**2
Factor 3*y**4 + 582*y**3 - 1185*y**2 - 1764*y.
3*y*(y - 3)*(y + 1)*(y + 196)
Solve 18*v**4 + 46444*v**3 - 129126*v**2 + 62000*v + 20664 = 0.
-2583, -2/9, 1, 2
Suppose -6*w**5 - 30550*w**4 - 81418*w**3 + 30558*w**2 + 122128*w - 40712 = 0. Calculate w.
-5089, -2, 1/3, 1
Factor -22*w**2/5 - 2762*w/5 + 5328.
-2*(w - 9)*(11*w + 1480)/5
Factor -2*l**3 - 1174150*l**2 - 172329114886*l - 172327940738.
-2*(l + 1)*(l + 293537)**2
Sup