72
Determine q so that 5*q**2 - 54226050*q + 325356120 = 0.
6, 10845204
Solve 2*u**5/3 - 2548*u**4/3 - 325696*u**3/3 - 12256576*u**2/3 - 138830848*u/3 - 482480128/3 = 0.
-52, -8, 1394
Factor -f**2 + 7269876*f - 13212774263844.
-(f - 3634938)**2
Determine y, given that -4*y**5 + 1748*y**4/7 + 3600*y**3 + 89424*y**2/7 + 43200*y/7 = 0.
-6, -4/7, 0, 75
What is i in -4*i**3 - 167192*i**2 + 1505020*i - 1337824 = 0?
-41807, 1, 8
Determine g, given that 9*g**4/4 - 57*g**3/4 - 957681*g**2/4 - 11149827*g/4 + 955755 = 0.
-317, -12, 1/3, 335
Solve 5*w**5/6 - 2025*w**4/2 + 379235*w**3 - 119209315*w**2/3 - 881411805*w/2 + 960128235/2 = 0.
-11, 1, 199, 513
Factor -2*v**3/3 - 391958*v**2/3 + 36072832*v/3 - 276590824.
-2*(v - 46)**2*(v + 196071)/3
Factor -2*n**2/11 + 5868*n/11 + 519440/11.
-2*(n - 3020)*(n + 86)/11
Factor -3*m**4 - 42540*m**3 - 158388186*m**2 - 53769751740*m - 4792943905083.
-3*(m + 183)**2*(m + 6907)**2
Factor -127*z**3 + 9706*z**2 + 25995*z - 12798.
-(z - 79)*(z + 3)*(127*z - 54)
Find f such that -69340880*f**5 - 554615320*f**4 - 900537725*f**3 - 414593280*f**2 + 669735*f - 270 = 0.
-6, -1, 3/3724
Factor -4*m**2/7 - 4759044*m/7 - 38072096/7.
-4*(m + 8)*(m + 1189753)/7
Solve 2*p**3/3 + 44678*p**2/15 - 53644*p/15 - 71504/15 = 0 for p.
-4469, -4/5, 2
Find l, given that 4*l**4 + 3809928*l**3 + 907279107444*l**2 + 27215801575920*l + 204112082768400 = 0.
-476226, -15
Factor -2*v**2/5 + 8498*v/5 + 367092.
-2*(v - 4455)*(v + 206)/5
Let -4*b**4 + 16028*b**3 + 43257564*b**2 + 23164412292*b - 69882987384 = 0. Calculate b.
-987, 3, 5978
Find c, given that -2*c**5 - 186*c**4 - 4648*c**3 - 31488*c**2 - 23616*c + 213408 = 0.
-57, -26, -6, 2
What is i in -3*i**3 - 3838887*i**2 - 1228085863785*i + 1228089702675 = 0?
-639815, 1
Solve -2*k**4/3 - 23600*k**3 - 5299042*k**2/3 - 3438300*k = 0.
-35325, -73, -2, 0
Suppose 3706*y**2 + 7919578*y - 307728 = 0. Calculate y.
-2137, 72/1853
Solve 2*n**3/13 - 8240*n**2/13 + 8410918*n/13 - 646360 = 0 for n.
1, 1859, 2260
Factor 3*b**3 - 8679*b**2 + 7318824*b - 1437851148.
3*(b - 1306)**2*(b - 281)
Factor -p**2/5 - 23620208*p/5 - 23620207/5.
-(p + 1)*(p + 23620207)/5
Find f, given that -2*f**3 + 24232*f**2 - 725368*f + 2513888 = 0.
4, 26, 12086
Suppose q**5/2 - 10499*q**4 + 20987*q**3/2 + 104987*q**2 - 41982*q - 251964 = 0. Calculate q.
-2, 2, 3, 20997
Suppose -2*j**3/13 - 37982*j**2/13 - 180840704*j/13 - 4855049496/13 = 0. What is j?
-9482, -27
Suppose 243*u**2 - 136341900*u + 19124602567500 = 0. What is u?
2524850/9
Let 2*v**2 - 279214*v + 9770040 = 0. What is v?
35, 139572
Factor -2*s**2/7 + 246864*s/7 - 493720/7.
-2*(s - 123430)*(s - 2)/7
Suppose -3*r**5 - 317861*r**4 + 1377446*r**3 - 847676*r**2 - 1271496*r = 0. Calculate r.
-105958, -2/3, 0, 2, 3
Factor -x**4/3 + 779*x**3/3 - 114215*x**2/3 - 15418163*x/3.
-x*(x - 431)**2*(x + 83)/3
Determine b, given that 2*b**3/13 + 4040956*b**2/13 - 621686*b + 4040960/13 = 0.
-2020480, 1
What is i in 2*i**3 - 6698*i**2 + 691948*i + 5965280 = 0?
-8, 115, 3242
Let 5*q**2 + 171262780*q + 1466546990666420 = 0. What is q?
-17126278
Find y such that -152*y**2 - 24648470*y + 324322 = 0.
-162161, 1/76
Find h such that -35*h**3 + 13655*h**2 - 148450*h + 242560 = 0.
2, 64/7, 379
Solve 2*b**4/9 - 34*b**3/9 - 12764*b**2/9 + 128176*b/9 + 201856 = 0.
-76, -8, 18, 83
Find u, given that 3*u**2/7 - 3573*u/7 - 6534756/7 = 0.
-996, 2187
Let -2*p**5/13 + 781390*p**4/13 - 18752576*p**3/13 + 143767888*p**2/13 - 375044960*p/13 + 312536800/13 = 0. What is p?
2, 10, 390671
Let -5*d**2/6 + 4355860*d/3 - 1897351633960/3 = 0. What is d?
871172
Factor 162*o**3 - 3599460*o**2 + 19990400504*o + 39995200144.
2*(o + 2)*(9*o - 99994)**2
Determine n so that 28*n**4/3 + 356008*n**3 - 4577644*n**2/3 + 1475048*n - 305184 = 0.
-38148, 2/7, 1, 3
Factor -b**2/10 - 4981692*b/5 - 12408627591432/5.
-(b + 4981692)**2/10
Determine a, given that 6*a**4 - 1866928*a**3/5 + 22274374*a**2/5 + 348436*a - 2986512/5 = 0.
-2/5, 1/3, 12, 62219
Factor r**3/6 - 5162*r**2/3 + 8689783*r/2 + 498979965.
(r - 5217)**2*(r + 110)/6
Let -26*p**5 + 330516*p**4 - 711794*p**3 + 432144*p**2 - 50840*p = 0. What is p?
0, 2/13, 1, 12710
Factor 5*l**2 - 765335*l + 6887610.
5*(l - 153058)*(l - 9)
Let 3081*n**2/4 + 326587*n/2 + 106 = 0. What is n?
-212, -2/3081
Factor -4*x**2 - 14845168*x - 13773688309264.
-4*(x + 1855646)**2
Let 5*m**3 - 1395*m**2 - 20720*m + 6146580 = 0. Calculate m.
-66, 67, 278
Let -4*t**2 - 255548*t + 191557392 = 0. Calculate t.
-64628, 741
Determine w, given that -2*w**2/7 - 252804*w/7 - 36866752/7 = 0.
-126256, -146
Find i, given that -3087*i**5 - 61593*i**4 - 372988*i**3 - 789888*i**2 - 340736*i = 0.
-11, -88/21, -4/7, 0
Factor -675*w**3 + 400590*w**2 - 56099883*w - 1002913968.
-3*(w + 16)*(15*w - 4571)**2
Factor y**3/6 + 9196030*y**2.
y**2*(y + 55176180)/6
Factor -q**3/5 + 31267*q**2/5 + 219114*q.
-q*(q - 31302)*(q + 35)/5
Let -3*i**5/4 - 20446341*i**4/4 + 40892697*i**3/4 + 20446341*i**2/4 - 20446347*i/2 = 0. What is i?
-6815449, -1, 0, 1, 2
Suppose 2*c**3 - 5319206*c**2 + 3536619054150*c + 166232845878750 = 0. Calculate c.
-47, 1329825
Factor -3*t**2 + 7823832*t - 5101028930352.
-3*(t - 1303972)**2
Determine d so that -4*d**5 - 1296*d**4 - 59912*d**3 + 256656*d**2 - 195444*d = 0.
-267, -61, 0, 1, 3
Factor 3*h**3 - 81*h**2 - 3612*h + 45540.
3*(h - 46)*(h - 11)*(h + 30)
Factor -4*i**2/5 + 72781404*i/5 + 145562824/5.
-4*(i - 18195353)*(i + 2)/5
Suppose -2*s**4/9 - 110*s**3/3 - 384*s**2 + 3672*s = 0. What is s?
-153, -18, 0, 6
Suppose -5*c**2 - 5360*c + 12424645 = 0. Calculate c.
-2201, 1129
Factor 3*c**2 - 1507158*c - 28637085.
3*(c - 502405)*(c + 19)
Factor -d**2 - 8390*d - 14465125.
-(d + 2425)*(d + 5965)
Determine g, given that 72*g**2 - 3970*g/9 - 4618/9 = 0.
-1, 2309/324
Determine j so that 2*j**4/7 + 178*j**3/7 - 11796*j**2/7 + 133472*j/7 - 17408 = 0.
-136, 1, 14, 32
Find c, given that -8*c**3/5 + 243802*c**2 - 2742736*c/5 + 609496/5 = 0.
1/4, 2, 152374
Factor 26397*y**3/5 - 26392*y**2/5 - y.
y*(y - 1)*(26397*y + 5)/5
Factor -2*g**3/3 + 205650*g**2 + 10488728*g/3.
-2*g*(g - 308492)*(g + 17)/3
Factor 2*f**2/9 - 20470*f/9 + 386764/3.
2*(f - 10178)*(f - 57)/9
Determine q, given that 3*q**5 + 9631587*q**4 + 7730627160669*q**3 + 7730607897501*q**2 - 7730627160672*q - 7730617529088 = 0.
-1605264, -1, 1
Solve 5*q**5 + 308390*q**4 + 4753677345*q**3 - 47563606960*q**2 + 61845304400*q + 114162280320 = 0.
-30844, -1, 3, 8
Factor 3*b**4 + 281091*b**3 + 23597532*b**2 + 660599184*b + 6164977728.
3*(b + 28)**3*(b + 93613)
Suppose -2*a**4/5 - 30884*a**3/5 - 103564602*a**2/5 - 413887864*a/5 - 82752872 = 0. Calculate a.
-10523, -4915, -2
What is n in -3*n**4 + 225801*n**3 - 3160581*n**2 - 3386385*n = 0?
-1, 0, 15, 75253
Factor c**4/8 - 179*c**3/2 - 30465*c**2/8 + 42525*c/2.
c*(c - 756)*(c - 5)*(c + 45)/8
Suppose 5*b**2 - 243885*b + 592668900 = 0. Calculate b.
2565, 46212
Solve 5*o**3 + 21024035*o**2 - 42048105*o - 63072135 = 0 for o.
-4204809, -1, 3
What is m in -28*m**4 + 9076*m**3 - 335008*m**2 + 633936*m = 0?
0, 2, 281/7, 282
Let -40*k**5 + 9430*k**4 - 23645*k**3 - 460195*k**2 - 537555*k - 157275 = 0. Calculate k.
-5, -3/4, -1/2, 9, 233
Solve -3*m**4 + 4015392*m**3/5 - 358296908166*m**2/5 + 10657016031158616*m/5 + 2131417538140173/5 = 0.
-1/5, 89231
Solve -d**5/4 - 3195*d**4/4 - 34977*d**3/4 + 149939*d**2/4 + 463389*d/2 + 186264 = 0.
-3184, -13, -3, -1, 6
Determine b, given that -4*b**5 - 8952*b**4 - 3180316*b**3 + 2206063464*b**2 - 2196477712*b - 4405712544 = 0.
-1286, -1, 2, 333
Let -2*g**3/5 - 2302*g**2/5 + 107552*g/5 - 105248/5 = 0. What is g?
-1196, 1, 44
Let -2*j**3/7 + 86784*j**2/7 + 347162*j/7 + 260376/7 = 0. Calculate j.
-3, -1, 43396
Factor 31339899*k**2 + 31339893*k - 6.
3*(k + 1)*(10446633*k - 2)
Solve -2*s**4/5 + 47156*s**3/5 - 329824*s**2/5 - 4007252*s/5 + 4289922/5 = 0.
-7, 1, 13, 23571
Determine q so that -q**2 - 15520*q + 108689 = 0.
-15527, 7
Determine a so that -25*a**4 + 1240*a**3 - 10870*a**2 + 20040*a + 32175 = 0.
-1, 5, 33/5, 39
Suppose -2*x**2/5 + 4448*x - 1722552/5 = 0. Calculate x.
78, 11042
Factor -3989569080165988*f**4 - 287249213354532792*f**3 - 17249950675056*f**2 - 345299360*f - 2304.
-4*(f + 72)*(99913*f + 2)**3
Factor -2*d**2/11 + 79450*d/11 + 203447092/11.
-2*(d - 42139)*(d + 2414)/11
Factor f**4/3 + 512