4)/6
Let p**4 + 1109*p**3 + 132746*p**2 - 406016*p + 272160 = 0. Calculate p.
-972, -140, 1, 2
Find h, given that 756817*h**2/4 - 756813*h/2 - 4 = 0.
-8/756817, 2
Factor -t**2/5 + 31604*t/5 + 727421/5.
-(t - 31627)*(t + 23)/5
Determine x so that 2*x**4 + 15600*x**3 - 47712252*x**2 + 42392938304*x - 12186228261846 = 0.
-10317, 839
Solve 3580*k**2 - 15856*k + 17392 = 0 for k.
2, 2174/895
Factor -2*q**3 + 7095948*q**2 + 42575742*q + 63863640.
-2*(q - 3547980)*(q + 3)**2
Suppose n**2/6 - 26303175*n + 2075571045241875/2 = 0. Calculate n.
78909525
Factor 21*h**3 + 14229*h**2 - 284616*h - 167280.
3*(h - 20)*(h + 697)*(7*h + 4)
Find g such that -4*g**4 - 4156*g**3 - 69048*g**2 + 466480*g + 8813728 = 0.
-1022, -14, 11
Factor w**2 - 2053*w - 10714628.
(w - 4457)*(w + 2404)
Solve 4*h**2 - 86065528*h + 462954694369924 = 0.
10758191
Factor -3*m**2 - 191056*m/3 + 679424/3.
-(m + 21232)*(9*m - 32)/3
Let 26*s**4 + 593*s**3 - 141810*s**2 + 3052512*s + 2558304 = 0. What is s?
-94, -21/26, 36
Suppose -5*q**2/4 - 776987900*q - 120742039349282000 = 0. What is q?
-310795160
Factor -d**2/3 - 33327*d - 499830.
-(d + 15)*(d + 99966)/3
Solve -5*v**4/4 + 52685*v**3/2 - 526735*v**2/4 + 105325*v/2 + 210690 = 0 for v.
-1, 2, 4, 21069
Find t such that 2*t**4/9 + 2420*t**3/9 - 41570*t**2/9 + 181420*t/9 - 71984/3 = 0.
-1227, 2, 4, 11
Solve -11*q**5/2 + 1811*q**4/10 + 25989*q**3/5 - 29709*q**2/5 - 307827*q/10 - 78489/10 = 0.
-19, -9/5, -3/11, 3, 51
Factor 2*b**3 - 157186*b**2 + 1257384*b - 1886040.
2*(b - 78585)*(b - 6)*(b - 2)
Factor 4*y**2 - 2026304*y.
4*y*(y - 506576)
Find g such that g**3/5 - 122266*g**2/5 + 24447*g + 733590 = 0.
-5, 6, 122265
Determine x so that -x**2/9 + 2147*x/9 - 488992/9 = 0.
259, 1888
Find i such that -i**3/5 - 75478*i**2/5 - 377371*i/5 - 452838/5 = 0.
-75473, -3, -2
Determine k, given that 2*k**3/11 + 1060*k**2/11 - 32002*k/11 + 234780/11 = 0.
-559, 14, 15
Let -2*r**4 + 338244*r**3 + 22332818*r**2 - 338244*r - 22332816 = 0. Calculate r.
-66, -1, 1, 169188
Suppose 4*p**3 + 15116*p**2 - 271064*p - 49105056 = 0. Calculate p.
-3796, -49, 66
Suppose n**2/5 - 1418*n/5 + 461877/5 = 0. What is n?
507, 911
Find l such that 3*l**4/8 + 717*l**3/4 + 76497*l**2/8 + 490053*l/4 + 113130 = 0.
-419, -40, -18, -1
Factor -a**2 - 7695*a + 937800.
-(a - 120)*(a + 7815)
Suppose q**2/2 + 7450999*q/2 - 11176503 = 0. Calculate q.
-7451002, 3
Solve -1278*v**5 + 7664*v**4 - 8922*v**3 - 7696*v**2 + 10200*v + 32 = 0 for v.
-1, -2/639, 1, 2, 4
Solve -5*l**2 - 141180*l - 11262400 = 0.
-28156, -80
Let 3*o**5/4 + 3954*o**4 + 845883*o**3/4 + 1478487*o**2/2 - 2128719*o + 1174050 = 0. Calculate o.
-5218, -50, -6, 1
Determine d so that d**4 + 8*d**3 - 15247*d**2 + 15178*d + 91392 = 0.
-128, -2, 3, 119
Factor -4*q**2/3 + 128284*q/3 - 769272.
-4*(q - 32053)*(q - 18)/3
Find n such that -74713088*n**3/11 + 334191667072*n**2/11 - 9941446*n + 8946/11 = 0.
1/6112, 4473
Factor 3*p**4 - 265275*p**3 + 7817653800*p**2 - 76743261672000*p - 1152908792640000.
3*(p - 29480)**3*(p + 15)
Suppose 2*u**5/5 + 65154*u**4 + 13267553236*u**3/5 + 145915070548*u**2/5 + 92849418306*u + 66319849690 = 0. Calculate u.
-81437, -5, -1
Factor t**3/3 - 12701*t**2 + 121977417*t - 56516032453/3.
(t - 18973)**2*(t - 157)/3
Factor -v**2 + 204928*v - 819696.
-(v - 204924)*(v - 4)
Solve 494169*l**2/5 - 342156*l/5 + 27/5 = 0 for l.
1/12671, 9/13
Determine w, given that 42*w**5 + 9986*w**4 + 671342*w**3 + 8811630*w**2 - 11792000*w + 2299000 = 0.
-110, -19, 5/21, 1
Let -2*w**3 - 46398*w**2 - 231868*w + 1669968 = 0. What is w?
-23194, -9, 4
Solve -1898*y**3/5 + 707952*y**2/5 + 11813898*y/5 + 12448/5 = 0 for y.
-16, -1/949, 389
Factor 3*m**3/2 - 176505*m**2/2 + 1300507500*m - 71261198250.
3*(m - 29390)**2*(m - 55)/2
Let -32*n**5/13 - 27324*n**4/13 - 5811678*n**3/13 + 8779088*n**2/13 - 13686*n/13 - 2926368/13 = 0. Calculate n.
-432, -3387/8, -1/2, 1
Let -5*t**3 + 8830*t**2 - 2900800*t - 931588000 = 0. Calculate t.
-194, 980
Solve -m**4 + 17002*m**3 - 70459741*m**2 - 15363517260*m - 816547176900 = 0 for m.
-105, 8606
Factor 2*g**3/9 + 211272*g**2 - 1267634*g/3 + 1901452/9.
2*(g - 1)**2*(g + 950726)/9
Suppose -r**5 + 6172110*r**4 - 9523729290913*r**3 - 19047477098160*r**2 - 9523741635136*r = 0. What is r?
-1, 0, 3086056
Factor -q**2/8 + 94231*q/8 + 659715/4.
-(q - 94245)*(q + 14)/8
Determine d, given that -5*d**3 + 2843580*d**2 - 17061300*d = 0.
0, 6, 568710
Factor 449880008*j**2/13 - 143800824*j/13 + 11491218/13.
2*(14998*j - 2397)**2/13
What is d in 2*d**5/7 - 199112*d**4/7 + 4956494880*d**3/7 - 39635235296*d**2/7 - 99098043040*d/7 = 0?
-2, 0, 10, 49774
Let -2*s**3 + 986184*s**2 - 31556352*s + 252446720 = 0. Calculate s.
16, 493060
Find v, given that 2*v**2/9 - 4246*v/9 - 104604016/9 = 0.
-6248, 8371
Let 25*c**3/4 + 158945*c**2/2 - 7643185*c/4 + 3662635/2 = 0. Calculate c.
-63698/5, 1, 23
Factor 2*w**2/3 - 49412*w + 915579654.
2*(w - 37059)**2/3
Find n such that 4*n**5 + 3232*n**4 + 153228*n**3 + 1235072*n**2 + 791504*n - 2183040 = 0.
-758, -40, -9, -2, 1
Solve 2447638*l**2/3 - 51400394*l/3 - 28 = 0.
-2/1223819, 21
What is j in j**3/7 - 143025*j**2/7 - 24916978*j/7 + 7200864 = 0?
-176, 2, 143199
Factor t**4 - 163*t**3 + 3582*t**2 + 12240*t.
t*(t - 136)*(t - 30)*(t + 3)
Solve -15943*p**2/4 + 239151*p/4 - 45/2 = 0.
6/15943, 15
Let -2*o**3 - 84312*o**2/5 - 20072562*o/5 - 802228 = 0. Calculate o.
-8186, -245, -1/5
Find g such that -4*g**3 + 8001660*g**2 + 8001664*g = 0.
-1, 0, 2000416
Find p, given that -4*p**5 + 38772*p**4/7 + 127816*p**3/7 - 166560*p**2/7 = 0.
-30/7, 0, 1, 1388
What is x in -6*x**3/11 - 128850*x**2/11 + 9568206*x/11 + 881550 = 0?
-21549, -1, 75
What is a in 4*a**2/11 + 10614*a/11 + 68822/11 = 0?
-2647, -13/2
Find o such that -4*o**5 + 36*o**4 + 154804*o**3 - 9839268*o**2 - 154800*o + 9839232 = 0.
-219, -1, 1, 72, 156
Factor 207385*a**2 + 260*a.
5*a*(41477*a + 52)
Determine k, given that 2*k**4 - 254890*k**3 + 4077832*k**2 - 13252712*k + 12233184 = 0.
2, 12, 127429
Solve -2*s**5 + 2549560*s**4 - 812570266124*s**3 + 24374652819064*s**2 + 51187026634750*s + 25999801000000 = 0 for s.
-1, 32, 637375
Factor -4*v**2/7 + 166157896*v/7 - 1725527900196676/7.
-4*(v - 20769737)**2/7
What is p in 5*p**3 - 1350*p**2 - 270185*p + 1955730 = 0?
-139, 7, 402
Suppose 19*h**4 - 81341*h**3/3 - 980795*h**2/3 - 867739*h/3 + 31658/3 = 0. Calculate h.
-11, -1, 2/57, 1439
What is l in -5*l**5 + 107925*l**4 - 582552085*l**3 + 1745606115*l**2 + 5822284050*l = 0?
-2, 0, 5, 10791
Find d, given that -3*d**2 - 12997581*d - 77985378 = 0.
-4332521, -6
Find n, given that -2*n**2 - 904578*n - 5427396 = 0.
-452283, -6
Factor h**3/4 - 220*h**2 + 130599*h/4.
h*(h - 691)*(h - 189)/4
Factor 3*v**2 - 1731357*v + 5194044.
3*(v - 577116)*(v - 3)
Factor -b**2/2 - 376058*b.
-b*(b + 752116)/2
Factor 4*t**3 - 76764*t**2 + 368486316*t - 1840512980.
4*(t - 9593)**2*(t - 5)
Let -x**4 - 2727*x**3 - 40742*x**2 - 168216*x - 195264 = 0. Calculate x.
-2712, -9, -4, -2
Factor -5*c**2 - 7100162*c - 2840064.
-(c + 1420032)*(5*c + 2)
Determine a, given that -26*a**5/3 + 9520*a**4/3 - 872152*a**3/3 + 124436*a**2/3 + 290726*a - 44652 = 0.
-1, 2/13, 1, 183
Factor 2*p**2/3 + 143120*p - 6870272/3.
2*(p - 16)*(p + 214696)/3
Find d, given that 136931*d**2/3 + 137033*d/3 + 34 = 0.
-1, -102/136931
Let -4*g**2/5 - 6425940*g + 706855336/5 = 0. What is g?
-8032447, 22
Find m, given that -m**5/5 - 1268*m**4/5 + 25643*m**3/5 - 150534*m**2/5 + 208656*m/5 = 0.
-1288, 0, 2, 9
What is a in -39*a**3/5 - 4482*a**2/5 - 128589*a/5 + 9918/5 = 0?
-58, -57, 1/13
Suppose a**2/5 - 1243581*a/5 + 8705018/5 = 0. What is a?
7, 1243574
Factor 2585824531938*a**2/13 + 18193008*a/13 + 32/13.
2*(1137063*a + 4)**2/13
Solve -4*z**2/3 - 50661104*z/3 - 160409216156176/3 = 0.
-6332638
Let -4*k**4/9 + 215684*k**3/9 - 23964*k**2 - 215684*k/9 + 215680/9 = 0. What is k?
-1, 1, 53920
Find x such that -x**2 + 37057*x - 10370550 = 0.
282, 36775
Let -13319*k**2/7 - 26938*k/7 - 600/7 = 0. Calculate k.
-2, -300/13319
Find c such that -12*c**3 - 19445188*c**2 - 103707348*c - 32408540 = 0.
-1620427, -5, -1/3
Solve 3*d**5 + 180*d**4 - 843*d**3 - 79344*d**2 + 314796*d + 393120 = 0.
-56, -26, -1, 5, 18
Find w, given that 40264*w**5 - 719014*w**4/5 + 132306*w**3 + 28714*w**2/5 - 172562*w/5 + 12/5 = 0.
-3/7, 1/14380, 1, 2
Sol