en that -k**4 + 441*k**3 - 53489*k**2 + 534459*k + 104638590 = 0.
-35, 74, 201
Factor -13*q**3 + 89798*q**2 + 41448*q.
-q*(q - 6908)*(13*q + 6)
Solve 3*t**4/2 + 399*t**3/2 - 6297*t**2 - 14928*t + 53424 = 0 for t.
-159, -4, 2, 28
Let -4*h**2/7 + 21864*h/7 - 27468452/7 = 0. What is h?
1957, 3509
Factor u**3/4 - 11*u**2 - 1653*u - 17820.
(u - 110)*(u + 12)*(u + 54)/4
Determine n so that -n**5/5 + 4524*n**4/5 - 5089248*n**3/5 - 62377344*n**2/5 + 732872448*n/5 + 8888527872/5 = 0.
-12, 12, 2268
Solve 7*a**4/3 - 650*a**3/3 - 21115*a**2/3 - 78250*a/3 - 20944 = 0 for a.
-22, -3, -8/7, 119
Factor -6*n**3 - 349791304*n**2 - 5098081631347950*n - 3398720932102500.
-2*(n + 29149275)**2*(3*n + 2)
Find s such that -2*s**2 + 13550232*s - 22951098406728 = 0.
3387558
Determine g, given that 3*g**2 + 78510312*g - 78510315 = 0.
-26170105, 1
Factor 2*t**2 + 127418484*t + 2029433758107282.
2*(t + 31854621)**2
Determine z, given that 2*z**2/7 + 73092356*z/7 = 0.
-36546178, 0
Determine p so that -3*p**4 + 18894*p**3 - 22515420*p**2 - 24090495534*p + 218624454783 = 0.
-669, 9, 3479
Factor -f**3/3 + 9857*f**2/3 - 39416*f/3 + 39412/3.
-(f - 9853)*(f - 2)**2/3
Factor 4*q**5 - 580230332*q**4 - 2320921368*q**3 - 3481382072*q**2 - 2320921388*q - 580230348.
4*(q - 145057587)*(q + 1)**4
Factor -6*w**2/7 - 55799780*w/7 - 18599926/7.
-2*(w + 9299963)*(3*w + 1)/7
Factor l**3 + 15409*l**2 + 5356327*l - 38249673.
(l - 7)*(l + 363)*(l + 15053)
Determine k so that -3*k**2 + 25266420*k + 50532852 = 0.
-2, 8422142
Factor 5*i**3 - 331250*i**2 - 108386035*i - 8844288720.
5*(i - 66576)*(i + 163)**2
What is s in s**5/4 - 507*s**4/4 + 10697*s**3 + 275172*s**2 + 748728*s + 484380 = 0?
-18, -2, -1, 138, 390
Find v, given that 2*v**4/7 + 4733202*v**3/7 + 4733196*v**2/7 - 9466400*v/7 = 0.
-2366600, -2, 0, 1
Factor -3*u**4/7 + 131391*u**3/7 - 1921059099*u**2/7 + 9418571777925*u/7 - 613295321370534/7.
-3*(u - 14577)**3*(u - 66)/7
Determine n so that -n**5 + 318475*n**4 + 1592407*n**3 - 2229331*n**2 - 9235950*n + 9554400 = 0.
-5, -3, 1, 2, 318480
Find p such that -3*p**3 + 28545*p**2 + 1145400*p + 11466000 = 0.
-20, 9555
Suppose 5*b**2 + 295574570*b + 4368216321534245 = 0. What is b?
-29557457
Factor 2*k**2/5 + 33604*k/5 + 28222194.
2*(k + 8255)*(k + 8547)/5
Factor -4*a**4 - 4315500*a**3 - 51785568*a**2 - 155356272*a.
-4*a*(a + 6)**2*(a + 1078863)
Determine h so that -h**3 + 1136*h**2 - 74573*h + 1013650 = 0.
19, 50, 1067
Factor 5*t**3 - 13870*t**2 - 1303125*t - 1289250.
5*(t - 2865)*(t + 1)*(t + 90)
Suppose -3*c**4 - 2538*c**3 - 537957*c**2 - 530358*c + 1070856 = 0. Calculate c.
-428, -417, -2, 1
Determine n, given that -3*n**2/8 + 24790341*n/8 - 12395169/4 = 0.
1, 8263446
Determine q so that -q**3 + 678008*q**2 - 6101991*q = 0.
0, 9, 677999
Factor 864*s**2 - 73730*s/3.
2*s*(1296*s - 36865)/3
Let -3*t**4/8 - 855*t**3/8 + 513*t**2/4 + 6006*t = 0. What is t?
-286, -7, 0, 8
Let 4*x**2 - 1878715000*x + 220598128201562500 = 0. Calculate x.
234839375
Suppose -25*x**5 + 104830*x**4 - 1067390*x**3 + 3033260*x**2 - 2447145*x + 376470 = 0. Calculate x.
1/5, 1, 3, 6, 4183
What is p in 4*p**4/3 - 39012004*p**3/3 + 31707016004000*p**2 - 31707003000000*p = 0?
0, 1, 4876500
Solve 2*w**2/3 + 122680628*w/3 + 40893542 = 0 for w.
-61340313, -1
Solve -21*s**4 - 59391*s**3 - 41995776*s**2 - 5930316*s + 47985504 = 0.
-1414, -8/7, 1
Find q, given that -5670060050*q**3 - 5651530790*q**2 + 18514122*q - 15138 = 0.
-1, 87/53245
Determine h so that 3*h**2 - 7548*h + 4710060 = 0.
1146, 1370
Factor k**3/9 + 2782*k**2/3 - 691096*k/9.
k*(k - 82)*(k + 8428)/9
Factor 5*b**2 - 62045*b + 62040.
5*(b - 12408)*(b - 1)
Factor -35*w**2 + 4076915*w - 5241690.
-5*(w - 116482)*(7*w - 9)
Suppose -a**5 - 1371*a**4 - 140292*a**3 - 4957200*a**2 - 58926528*a = 0. Calculate a.
-1263, -36, 0
Find l such that l**3/10 - 3859447*l**2/2 + 46547905006344*l/5 + 46547914654962/5 = 0.
-1, 9648618
Factor -4*q**2 + 8183852*q - 8183848.
-4*(q - 2045962)*(q - 1)
Solve 34*a**5/3 + 444622*a**4/3 + 3125206*a**3 + 18409762*a**2/3 + 10470988*a/3 + 330752 = 0 for a.
-13056, -19, -1, -2/17
What is u in 95*u**4/6 + 196235*u**3/6 + 2661505*u**2/6 + 8544865*u/6 - 586530 = 0?
-2052, -7, 7/19
Factor -3*g**2 + 214314804*g.
-3*g*(g - 71438268)
What is d in -2*d**4/13 + 820086*d**3/13 = 0?
0, 410043
Find y such that -3*y**3/5 + 1839744*y**2/5 - 16188876*y + 890372208/5 = 0.
22, 613204
Factor -127*h**3 + 36447*h**2 + 185994*h + 2920.
-(h - 292)*(h + 5)*(127*h + 2)
Suppose -29*y**4/4 + 24*y**3 + 819*y**2/4 + 193*y/2 - 318 = 0. Calculate y.
-3, -2, 1, 212/29
Determine j so that -67335*j**4 + 13416348*j**3 - 3317262*j**2 - 529020*j + 134325 = 0.
-1/5, 15/67, 199
Find c, given that 1412*c**4/7 - 290174*c**3/7 + 8205364*c**2/7 - 11703952*c/7 + 66048/7 = 0.
2/353, 3/2, 32, 172
Factor -5*x**2 - 13735*x + 8913190.
-5*(x - 542)*(x + 3289)
Find f, given that -5*f**4 + 192375*f**3 - 1833460245*f**2 - 326740046375*f - 324906393750 = 0.
-174, -1, 19325
Suppose 3*u**5 - 1329*u**4 + 107478*u**3 - 2951544*u**2 + 22053120*u + 56793600 = 0. Calculate u.
-2, 17, 40, 348
Factor r**4/7 + 438104*r**3/7 + 81464280*r**2/7 + 721472672*r + 104368121104/7.
(r + 62)**3*(r + 437918)/7
Determine p, given that 2*p**3/23 + 590160*p**2/23 + 43533742464*p/23 - 348307710976/23 = 0.
-147544, 8
Factor 5*j**4 + 26566885*j**3 + 47053256484315*j**2 + 27778972190131119175*j - 111116641614328507660.
5*(j - 4)*(j + 1771127)**3
Solve -d**2/2 - 300*d + 144728 = 0.
-916, 316
Find a such that 4*a**4/5 + 62941*a**3 - 361931*a**2 + 487826*a - 944184/5 = 0.
-78682, 3/4, 1, 4
Solve -2*k**2/11 - 1133650*k - 24940292/11 = 0.
-6235073, -2
What is c in 3*c**4/7 + 1878*c**3/7 - 11703*c**2 + 80040*c/7 = 0?
-667, 0, 1, 40
Factor 2*s**2 - 1511698*s - 1511700.
2*(s - 755850)*(s + 1)
Let -16*m**3/3 - 442784*m**2 - 9189981916*m + 27571274116/3 = 0. What is m?
-83023/2, 1
Determine k so that 3*k**4/5 - 2238*k**3 + 15447852*k**2/5 - 9320584314*k/5 + 2062663444641/5 = 0.
613, 1039
Factor -3*p**2 + 826290240*p - 56896296726604800.
-3*(p - 137715040)**2
Factor x**4 + 478*x**3 + 59172*x**2 + 1993778*x - 17022229.
(x - 7)*(x + 89)**2*(x + 307)
Determine k, given that -5*k**4 - 1600*k**3 - 94290*k**2 - 177480*k + 273375 = 0.
-243, -75, -3, 1
Factor -7*x**4/2 + 2525683*x**3 - 455647826080*x**2 - 130185299344*x.
-x*(x - 360812)**2*(7*x + 2)/2
Suppose -g**4 - 539990*g**3 + 1619979*g**2 = 0. What is g?
-539993, 0, 3
Solve -2*b**5/5 - 3302*b**4/5 - 1407986*b**3/5 - 35664386*b**2/5 + 1005240988*b/5 - 968165312/5 = 0.
-811, -46, 1, 16
Solve -58*t**4/9 + 19490*t**3/9 - 440*t**2/9 - 77960*t/9 + 896/3 = 0.
-2, 1/29, 2, 336
Let -4*p**2 + 1921416*p + 5764284 = 0. Calculate p.
-3, 480357
Solve -15*x**4 - 6425*x**3 - 33900*x**2 - 25300*x + 33840 = 0 for x.
-423, -4, -2, 2/3
Solve -2*a**4 - 994*a**3 - 38248*a**2 + 1827544*a + 1864800 = 0 for a.
-450, -74, -1, 28
Determine m so that m**3 - 71823*m**2 + 287279*m - 215457 = 0.
1, 3, 71819
Factor 5*r**2 - 2047680*r - 4095380.
5*(r - 409538)*(r + 2)
Factor -3*h**3 + 50097*h**2 - 500718*h + 801072.
-3*(h - 16689)*(h - 8)*(h - 2)
Determine c, given that -2*c**4 - 24*c**3 + 17054*c**2 - 102228*c - 4762800 = 0.
-100, -14, 21, 81
Determine s, given that -4*s**2/7 - 24824*s/7 + 5628300/7 = 0.
-6425, 219
Let 5*n**5 + 218780*n**4 - 218785*n**3 = 0. Calculate n.
-43757, 0, 1
Factor -2*y**5 + 38210*y**4 - 229206*y**3 + 343782*y**2.
-2*y**2*(y - 19099)*(y - 3)**2
Find y, given that 4*y**2 + 173412184*y + 1879486597478116 = 0.
-21676523
Find i, given that i**5 + 704*i**4 - 93488*i**3 + 4335488*i**2 - 87793664*i + 661520384 = 0.
-824, 28, 32
Let q**4 + 1923*q**3 + 482922*q**2 = 0. What is q?
-1626, -297, 0
Find w such that w**4/5 - 208*w**3/5 - 981*w**2 + 22084*w/5 - 4580 = 0.
-25, 2, 229
Suppose r**2 + 1703451*r + 1703450 = 0. What is r?
-1703450, -1
Let -5*z**2 - 828345*z + 105280460 = 0. What is z?
-165796, 127
Suppose 2*z**3/13 + 20035108*z**2/13 - 20035110*z/13 = 0. Calculate z.
-10017555, 0, 1
Suppose 135*p**2 + 59350*p + 293375 = 0. What is p?
-11735/27, -5
Suppose 2*u**2/15 - 1506824*u/15 + 283814820872/15 = 0. Calculate u.
376706
Factor -5*a**2 - 234609*a/2 + 23461/2.
-(a + 23461)*(10*a - 1)/2
Determine u so that -3*u**3 - 93777*u**2 - 12977040*u = 0.
-31120, -139, 0
Factor -19*u**2/2 + 840809*u/2 - 420395.
-(