or t**3/4 - 274*t**2 + 298053*t/4 + 452025/2.
(t - 574)*(t - 525)*(t + 3)/4
Factor y**4/7 - 7321870*y**3/7 + 13402452396092*y**2/7 - 26804875504712*y/7.
y*(y - 3660934)**2*(y - 2)/7
Determine c, given that -c**4/2 + 24*c**3 + 4539*c**2 + 9004*c + 8979/2 = 0.
-73, -1, 123
Factor 2*g**3/7 + 19246*g**2/7 + 192310*g/7 + 480650/7.
2*(g + 5)**2*(g + 9613)/7
Find v such that -5*v**3 + 13760*v**2 - 6022380*v = 0.
0, 546, 2206
Factor -2*m**3 - 3462*m**2 + 568722*m - 22352330.
-2*(m - 77)**2*(m + 1885)
Determine j so that 6154*j**2/15 + 10254*j/5 - 8/3 = 0.
-5, 4/3077
Factor 5*h**3 - 297625*h**2 + 4429776000*h - 22141440000.
5*(h - 29760)**2*(h - 5)
Find m such that -5*m**2 - 125070*m - 11712400 = 0.
-24920, -94
Suppose 4*j**5/3 + 181793*j**4/3 - 287860*j**3 + 1227223*j**2/3 - 363628*j/3 - 60604 = 0. Calculate j.
-45453, -1/4, 1, 2
What is m in -4*m**2 - 45912*m - 20019584 = 0?
-11024, -454
Determine u so that 4*u**4 - 936*u**3 + 1836*u**2 + 4664*u - 5568 = 0.
-2, 1, 3, 232
Factor -4*c**2/7 - 814872*c/7 - 41501023524/7.
-4*(c + 101859)**2/7
Find t such that -t**4 + 314367*t**3 - 32943460935*t**2 + 1150923702200725*t - 13806341111239500 = 0.
12, 104785
Let -3*h**5 + 5976*h**4 - 94818*h**3 - 60480*h**2 + 2372325*h - 2223000 = 0. What is h?
-5, 1, 5, 15, 1976
Let -u**2/2 - 50957*u/2 - 15131978 = 0. Calculate u.
-50356, -601
Determine w, given that 2*w**2/3 - 206310488*w/3 + 5320502182349768/3 = 0.
51577622
Factor -3*j**2/8 - 3872982*j - 9999993048216.
-3*(j + 5163976)**2/8
Find d, given that -5*d**4 + 44225*d**3 - 1631280*d**2 + 15856020*d - 14268960 = 0.
1, 18, 8808
Let 5*l**4 - 1711010*l**3 + 17109600*l**2 = 0. Calculate l.
0, 10, 342192
Factor 4*c**3 - 23480*c**2 + 39972592*c - 15476356896.
4*(c - 2662)**2*(c - 546)
Factor 3*h**3/2 - 59619945*h**2 + 1184845708787859*h/2 + 2369692371494934.
3*(h - 19873317)**2*(h + 4)/2
Find f such that 12*f**3 + 3560008*f**2 - 109184988*f - 36790552 = 0.
-296698, -1/3, 31
What is u in 2*u**2/3 - 11922*u + 607444/3 = 0?
17, 17866
Factor 262*y**2/11 + 30279082*y/11 + 462276/11.
2*(y + 115569)*(131*y + 2)/11
Factor -4*k**2 + 49432472*k - 152723080501924.
-4*(k - 6179059)**2
Find h such that -4*h**5 + 39999*h**4 + 130028*h**3 + 110031*h**2 + 20006*h = 0.
-2, -1, -1/4, 0, 10003
Suppose -2*p**3/13 + 8068*p**2/13 - 1835218*p/13 + 8270024 = 0. What is p?
119, 3796
What is x in -52*x**4/5 + 10768*x**3/5 - 634024*x**2/5 + 12022512*x/5 - 22330404/5 = 0?
27/13, 41, 123
Determine i so that -11*i**3/3 + 1191*i**2 - 76000*i/3 + 19932 = 0.
9/11, 22, 302
Solve -5*l**3 - 21865*l**2 + 65780*l + 612640 = 0 for l.
-4376, -4, 7
Factor -m**3/2 + 887507*m**2 + 1775015*m/2.
-m*(m - 1775015)*(m + 1)/2
Determine v so that v**5/5 - 174*v**4/5 + 2699*v**3/5 - 942*v**2 = 0.
0, 2, 15, 157
Factor 2*k**2/5 + 879209356*k/5 + 96626136459741842/5.
2*(k + 219802339)**2/5
Suppose -63*u**4/2 - 3279*u**3/2 + 41739*u**2/2 - 109137*u/2 - 2646 = 0. What is u?
-63, -1/21, 4, 7
Determine x so that 4*x**5 + 1504*x**4 + 78316*x**3 + 455424*x**2 - 1023408*x - 3265920 = 0.
-315, -54, -8, -2, 3
Solve -3*v**2 + 341433*v - 5120820 = 0.
15, 113796
Suppose 2*q**2 + 12745362*q + 12745360 = 0. Calculate q.
-6372680, -1
Let -2*a**3/7 - 172070*a**2/7 - 3699719750*a/7 + 55534518750/7 = 0. Calculate a.
-43025, 15
Factor -2*y**5 - 5888248*y**4 - 4333915398914*y**3 + 26003633711596*y**2 - 52007361635320*y + 34671605827600.
-2*(y - 2)**3*(y + 1472065)**2
Factor -3*n**3/2 + 1364457*n**2/2 - 77576373156*n + 853257557064.
-3*(n - 227404)**2*(n - 11)/2
Determine a so that 1863*a**4 + 4806*a**3 - 2556*a**2 - 534*a + 261 = 0.
-3, -1/3, 1/3, 29/69
Factor -2*r**2/13 - 340540*r/13 + 4767952/13.
-2*(r - 14)*(r + 170284)/13
Suppose 2*r**5/15 - 758*r**4/3 - 49574*r**3/15 - 64994*r**2/15 + 77548*r/5 + 83952/5 = 0. What is r?
-11, -3, -1, 2, 1908
Determine v, given that -2*v**5 + 37184*v**4 - 743148*v**3 + 4977976*v**2 - 12629410*v + 8357400 = 0.
1, 5, 9, 18572
Determine o so that -3*o**2/4 - 114045*o - 16874553/4 = 0.
-152023, -37
Find q, given that 11*q**3/2 - 32013*q**2/4 + 26163*q/2 = 0.
0, 18/11, 2907/2
Find a such that -112*a**4 + 44216*a**3 - 3409479*a**2 + 74650213*a - 21051338 = 0.
2/7, 187/4, 301
Factor 3*f**3 + 1480077*f**2 - 2960163*f + 1480083.
3*(f - 1)**2*(f + 493361)
Determine z, given that z**3/2 - 1346467*z**2/2 - 4039415*z - 5385892 = 0.
-4, -2, 1346473
Factor 4*i**2 + 26532*i + 42436688.
4*(i + 2692)*(i + 3941)
Find w such that -2*w**5/5 + 100628*w**4/5 - 12448316*w**3/5 + 60027936*w**2/5 - 34930098*w/5 - 21501396 = 0.
-1, 3, 119, 50190
What is u in -2*u**4/3 - 1742*u**3/3 - 99570*u**2 + 40037558*u/3 + 1532096192/3 = 0?
-473, -32, 107
Solve 2*v**2/13 + 53797340*v/13 + 361769223884450/13 = 0.
-13449335
Factor -50*j**3/13 - 63740*j**2/13 - 21757298*j/13 - 903022944/13.
-2*(j + 48)*(5*j + 3067)**2/13
Solve 2*v**4/11 - 388500*v**3/11 + 13206546*v**2/11 + 27578600*v/11 + 1271232 = 0 for v.
-1, 36, 194216
Solve -12*i**4 + 352*i**3 - 828*i**2 - 11512*i - 7200 = 0.
-4, -2/3, 9, 25
Solve -2*m**5/5 + 1328*m**4/5 - 212336*m**3/5 - 2693248*m**2/5 - 8182304*m/5 - 7311616/5 = 0.
-8, -2, 338
What is k in -4*k**5 + 13956*k**4 - 180252*k**3 - 1736836*k**2 - 4045344*k - 2502720 = 0?
-3, -1, 20, 3476
Determine t so that -4*t**3 - 799216*t**2 - 39920839188*t + 79844875272 = 0.
-99903, 2
Determine j, given that j**2/4 - 11704097*j/2 + 136985886585409/4 = 0.
11704097
Solve -4808077922*g**2 + 1765116*g - 162 = 0 for g.
9/49031
Solve -2*t**5/7 - 600*t**4/7 + 668420*t**3/7 + 238973360*t**2/7 - 479949570*t/7 + 240308392/7 = 0 for t.
-449, 1, 596
Let 3*f**5 - 53676*f**4 + 22668471*f**3 - 2488998282*f**2 + 14327736768*f - 21189927456 = 0. Calculate f.
3, 212, 17462
Factor 49*i**2/5 - 86728026*i/5 + 38376278029881/5.
(7*i - 6194859)**2/5
Factor 3*w**4 + 2055090*w**3 + 351947520576*w**2 - 703903261536*w.
3*w*(w - 2)*(w + 342516)**2
Factor 2*c**3/3 + 2668796*c**2/3 + 890317017536*c/3 + 1780602009664.
2*(c + 6)*(c + 667196)**2/3
Factor -4*p**3 - 108148*p**2 - 729645644*p + 18308796100.
-4*(p - 25)*(p + 13531)**2
Let 4*n**5 - 3040*n**4 + 35988*n**3 - 62440*n**2 - 293216*n = 0. What is n?
-2, 0, 7, 748
Determine a so that 5*a**2 - 2502270*a - 62559875 = 0.
-25, 500479
Determine h, given that 6906*h**4 + 96675*h**3 - 379956*h**2 - 6684513*h + 8712 = 0.
-11, 3/2302, 8
Factor -2*q**2 - 5566*q + 1470636.
-2*(q - 243)*(q + 3026)
Determine w, given that -3*w**5 - 1050*w**4 + 407883*w**3 - 1216254*w**2 + 809424*w = 0.
-584, 0, 1, 2, 231
What is j in -345*j**5/8 + 81309*j**4/4 - 3014649*j**3 + 569223843*j**2/4 + 1213327137*j/8 + 6324912 = 0?
-1, -1/23, 121, 1152/5
Factor 2*k**2/7 - 4817520*k/7 + 2901062368800/7.
2*(k - 1204380)**2/7
Determine f, given that -2*f**2/15 - 77976928*f - 11400752438094720 = 0.
-292413480
Factor -4*o**3 - 836*o**2 + 11904*o + 79920.
-4*(o - 18)*(o + 5)*(o + 222)
Solve z**2/5 - 10151*z/5 - 2073082 = 0 for z.
-935, 11086
Solve 2*z**2/3 + 92350*z/3 + 369368/3 = 0.
-46171, -4
Factor -w**2 - 8926*w + 62531.
-(w - 7)*(w + 8933)
Let -3*s**2/4 + 3915*s/4 + 11799/2 = 0. What is s?
-6, 1311
Factor 5*z**2 - 5107045*z + 398319090.
5*(z - 1021331)*(z - 78)
Find w, given that -44*w**3 - 27000284*w**2 - 49091264*w + 9818256 = 0.
-613641, -2, 2/11
Factor -68*z**3 - 136784*z**2 + 1098624*z.
-4*z*(z - 8)*(17*z + 34332)
Factor 4*l**3/5 + 1391*l**2/5 - 16144*l/5 + 3949/5.
(l - 11)*(l + 359)*(4*l - 1)/5
Determine x, given that 51681721*x**3 + 873787005*x**2 - 81526728*x + 1896452 = 0.
-17, 334/7189
Solve -3*x**5/2 + 4079019*x**4/2 - 693269559357*x**3 + 2079796441029*x**2 - 4159584724035*x/2 + 1386526881675/2 = 0.
1, 679835
Factor 3*t**2 + 46997562*t + 184064236161987.
3*(t + 7832927)**2
Factor -5*m**4 + 98260*m**3 + 884745*m**2.
-5*m**2*(m - 19661)*(m + 9)
Factor 3*u**4 + 682209*u**3 - 20468070*u**2 + 204686700*u - 682299000.
3*(u - 10)**3*(u + 227433)
Find h such that 3*h**4 + 25032*h**3 + 54261117*h**2 + 8465078832*h + 86583545664 = 0.
-4088, -157, -11
Determine w, given that 2*w**3/5 - 3011752*w**2 + 28345766533434*w/5 + 56691593301924/5 = 0.
-2, 3764691
Suppose -x**2/2 + 1328180*x + 15938232 = 0. What is x?
-12, 2656372
Solve 3*k**4/5 + 35220*k**3 - 3875289*k**2/5 + 21316086*k/5 = 0.
-58722, 0, 11
Determine c, given that -4*c**4 - 17444*c**3 - 622260*c**2 + 2338308*c + 12144600 = 0.
-4325, -39, -3, 6
S