- 43322350860738200*p**2 + 129962856547313250*p = 0.
0, 3, 278755
Factor j**2/4 + 21127975*j/2 + 446391327600625/4.
(j + 21127975)**2/4
What is a in a**2/6 + 78221*a/6 + 26073 = 0?
-78219, -2
What is y in 9*y**3 - 156*y**2 - 78345*y + 394500 = 0?
-263/3, 5, 100
Factor u**3/4 + 10335*u**2/2 + 26995167*u + 3010662594.
(u + 114)*(u + 10278)**2/4
Find b such that -3*b**2 + 5301*b - 546810 = 0.
110, 1657
Factor 4*r**2 + 87172*r + 13071768.
4*(r + 151)*(r + 21642)
Factor 2*n**2 + 5324*n - 2250486.
2*(n - 371)*(n + 3033)
Let 2*f**3 + 26490*f**2 - 3559928*f - 18461640 = 0. Calculate f.
-13378, -5, 138
Find i such that -i**3/4 - 203785*i**2/4 = 0.
-203785, 0
Factor i**2/8 + 10751*i/4 + 192870.
(i + 72)*(i + 21430)/8
Determine o so that 2*o**2 - 8411158*o + 8411156 = 0.
1, 4205578
Let -k**4/5 - 329*k**3/5 - 24256*k**2/5 + 75756*k/5 = 0. What is k?
-214, -118, 0, 3
Let -18*x**4 - 53886*x**3 + 11025340*x**2 - 14628584*x + 4868208 = 0. Calculate x.
-3186, 2/3, 191
Determine k, given that 784*k**5 - 1400*k**4/3 - 8751901*k**3/3 + 1736466*k**2 + 405589*k/3 + 7442/3 = 0.
-61, -1/28, 2/3, 61
Factor -c**2/6 + 8782181*c/3 - 40983495/2.
-(c - 17564355)*(c - 7)/6
Factor 5*c**2 + 38505*c - 1392660.
5*(c - 36)*(c + 7737)
Factor -2965*u**2 - 2463930*u - 12465.
-5*(u + 831)*(593*u + 3)
Factor -a**3/3 + 1458*a**2 + 110029*a/3 - 79182.
-(a - 4399)*(a - 2)*(a + 27)/3
Factor -2*l**2/5 - 2054424*l/5 - 94499272/5.
-2*(l + 46)*(l + 1027166)/5
Factor -3*f**2 + 2137719*f - 10688520.
-3*(f - 712568)*(f - 5)
Solve 5*f**2 - 6485*f - 565390 = 0 for f.
-82, 1379
Factor 4*i**3 - 512052*i**2.
4*i**2*(i - 128013)
Determine w, given that 3*w**2 - 57768*w - 751491 = 0.
-13, 19269
Factor -5*q**3 - 1695*q**2 - 153055*q - 3595845.
-5*(q + 37)*(q + 93)*(q + 209)
Factor -3*i**2/8 + 2132343*i/8.
-3*i*(i - 710781)/8
Let 2*s**5/11 - 245430*s**4/11 + 1227100*s**3/11 = 0. What is s?
0, 5, 122710
Solve r**2/3 - 41761274*r/3 - 13920425 = 0.
-1, 41761275
What is g in -5*g**3 + 265595*g**2 - 3586940475*g + 1584239766885 = 0?
457, 26331
Find r, given that r**2/5 + 189359*r/5 + 151484 = 0.
-189355, -4
Solve 4*n**4 - 5344*n**3 - 81592*n**2 + 718144*n + 794388 = 0.
-21, -1, 7, 1351
Factor f**4/3 + 2703508*f**3/3 + 1827252394006*f**2/3 + 6090773725820*f + 15226877991675.
(f + 5)**2*(f + 1351749)**2/3
Factor -3*t**2/4 + 10819533*t + 129834423/4.
-3*(t - 14426047)*(t + 3)/4
Let -2*q**3 + 4410*q**2 - 315814*q + 907806 = 0. Calculate q.
3, 71, 2131
Let 2*w**3 - 327058*w**2 + 5886358*w + 6213418 = 0. Calculate w.
-1, 19, 163511
Determine s so that s**2 - 4168807*s = 0.
0, 4168807
Factor 3*u**2 - 325527*u + 1953054.
3*(u - 108503)*(u - 6)
Let 3*c**5 - 240*c**4 + 4602*c**3 - 8496*c**2 + 4131*c = 0. What is c?
0, 1, 27, 51
Let -8*k**4 + 6*k**3 + 1394*k**2 - 3684*k - 1008 = 0. Calculate k.
-14, -1/4, 3, 12
Factor -d**3 + 47936*d**2 - 578897125*d + 106022906250.
-(d - 23875)**2*(d - 186)
Solve 12*w**5 + 174664*w**4 + 7894132*w**3 + 10040376*w**2 - 7894144*w - 10215040 = 0 for w.
-14510, -44, -4/3, -1, 1
Suppose -2*g**5/3 - 4114*g**4 + 20584*g**3 - 49408*g**2/3 = 0. Calculate g.
-6176, 0, 1, 4
Let -4*b**3 + 270594788*b**2 - 541189564*b + 270594780 = 0. Calculate b.
1, 67648695
Determine w, given that -w**2/3 - 318787*w/3 - 106262 = 0.
-318786, -1
Let -2*v**5 - 184106*v**4 + 1657062*v**3 - 4971294*v**2 + 4971348*v = 0. What is v?
-92062, 0, 3
Find t, given that 8949010*t**5 + 38352585*t**4 - 16620940*t**3 - 168752175*t**2 - 46017540*t + 1620 = 0.
-3, -2/7, 9/255686, 2
Factor 2*g**4/3 - 6123842*g**3/3 + 2041280*g**2.
2*g**2*(g - 3061920)*(g - 1)/3
Find m, given that m**3/3 + 7*m**2 - 1688*m - 5084/3 = 0.
-82, -1, 62
Determine m, given that -26*m**4 + 33842*m**3 + 81156*m**2 - 401792*m + 208640 = 0.
-5, 8/13, 2, 1304
Factor -24852*u**2/11 - 1068638*u/11 - 86/11.
-2*(u + 43)*(12426*u + 1)/11
Factor -5*y**2 - 244945*y - 130812300.
-5*(y + 540)*(y + 48449)
Find a, given that -3*a**2/4 + 85964757*a/2 - 2463313148689683/4 = 0.
28654919
Factor -a**3/3 + 413777849*a**2/3 - 42803027287655624*a/3 + 42803026873877776/3.
-(a - 206888924)**2*(a - 1)/3
What is v in 2*v**4/15 + 23282*v**3/15 + 22720702*v**2/5 + 2358025838*v/15 + 2289887012/15 = 0?
-5803, -34, -1
Solve 18*r**5 + 42754*r**4 - 1597576*r**3 - 2006936*r**2 - 366624*r = 0.
-2412, -1, -2/9, 0, 38
Factor -4*p**2/5 - 1279016*p/5 - 53711616/5.
-4*(p + 42)*(p + 319712)/5
Determine p, given that 12*p**4 - 802*p**3 + 13740*p**2 - 62082*p + 83268 = 0.
3, 18, 257/6
Factor j**3 + 27344*j**2 + 27341*j - 54686.
(j - 1)*(j + 2)*(j + 27343)
Factor 2*u**2/21 + 6862*u/7 + 2940.
2*(u + 3)*(u + 10290)/21
Determine g, given that g**2/5 - 10743*g/5 + 235862/5 = 0.
22, 10721
Let 14138556482*v**3/5 - 14139229114*v**2/5 + 134528*v - 8/5 = 0. Calculate v.
2/84079, 1
Factor 2*u**2 + 1454784*u - 14548040.
2*(u - 10)*(u + 727402)
Factor 3*z**2/8 - 2883453*z/2.
3*z*(z - 3844604)/8
What is g in 417*g**5 - 1087113*g**4 - 7645908*g**3 - 109788*g**2 = 0?
-7, -2/139, 0, 2614
Find u such that -3*u**3/4 - 1421811*u**2/4 + 127987023*u/4 - 126565209/4 = 0.
-474027, 1, 89
Suppose 5*j**4/3 - 1959760*j**3/3 + 64011640875*j**2 - 128020668750*j = 0. What is j?
0, 2, 195975
Find a such that 37983*a**3/4 + 360852*a**2 - 2506365*a - 3564 = 0.
-44, -18/12661, 6
Determine k so that -k**5/4 - 133*k**4/4 - 99*k**3/4 + 139113*k**2/4 = 0.
-123, -39, 0, 29
Suppose -1050*l**5 + 23705*l**4 - 111575*l**3 - 198390*l**2 - 63460*l - 1400 = 0. Calculate l.
-1, -2/5, -1/42, 10, 14
Factor -2*q**2/3 - 122416*q/3 - 571144.
-2*(q + 14)*(q + 61194)/3
Suppose 707052*a**3 + 4006436*a**2 - 6600240*a + 1792 = 0. Calculate a.
-7, 16/58921, 4/3
Find o, given that -19*o**4/3 + 2694*o**3 + 45943*o**2/3 + 24974*o + 10344 = 0.
-3, -2, -12/19, 431
Determine i so that i**2/4 - 110253187*i/2 + 12155765243656969/4 = 0.
110253187
Determine h so that h**4/3 - 110*h**3/3 + 3859*h**2/3 - 14714*h + 13464 = 0.
1, 22, 36, 51
Solve -3*u**2 - 2535726*u - 5071440 = 0 for u.
-845240, -2
Factor 1599*y**2 + 8249238*y - 15477.
3*(y + 5159)*(533*y - 1)
Determine k, given that -337294954441*k**2 - 34846260*k - 900 = 0.
-30/580771
What is w in w**5/9 - 7416890*w**4/9 + 13752616236157*w**3/9 - 64178512341580*w**2/3 + 74874789732484*w = 0?
0, 7, 3708438
Factor -4*f**3 + 15184*f**2 - 15045056*f + 4467397376.
-4*(f - 2444)*(f - 676)**2
Factor -5*z**4 + 1260*z**3 - 81840*z**2 + 307520*z.
-5*z*(z - 124)**2*(z - 4)
Factor 2*z**2/3 + 18440*z/3 - 1779854.
2*(z - 281)*(z + 9501)/3
Find f, given that -2*f**2/13 + 75708460*f/13 - 716471364446450/13 = 0.
18927115
Determine f, given that -2*f**2/5 - 3366*f/5 - 169400 = 0.
-1375, -308
Determine b, given that 2*b**4 - 4474*b**3/3 - 9302*b**2/3 + 245530*b/3 + 897200/3 = 0.
-5, 8, 2243/3
Factor 3*h**3 + 300063*h**2 + 26681844*h.
3*h*(h + 89)*(h + 99932)
Suppose -4*a**4 + 51020*a**3 - 713496*a**2 = 0. What is a?
0, 14, 12741
Factor q**3 - 481655*q**2 + 58034232608*q - 8752190351104.
(q - 240752)**2*(q - 151)
Factor -u**3 - 284510*u**2 + u + 284510.
-(u - 1)*(u + 1)*(u + 284510)
Determine t so that 3*t**5/4 - 2187*t**4/2 + 268272*t**3 - 18195840*t**2 = 0.
0, 144, 1170
Factor 3*k**4/4 - 880279395*k**3/4 + 43049545034484879*k**2/2 - 701770866893304073758897*k - 701770888418076811071186.
3*(k - 97808822)**3*(k + 1)/4
Determine v so that -28*v**4/11 - 37722*v**3/11 - 120158*v**2/11 + 98028*v + 564480/11 = 0.
-1344, -7, -1/2, 30/7
Determine i so that 4*i**3 + 37724*i**2 + 9677756*i + 629396836 = 0.
-9169, -131
Factor 4*r**2 + 3952*r + 454860.
4*(r + 133)*(r + 855)
Find k such that k**3/9 - 4495*k**2/9 - 622375*k/3 - 20639125 = 0.
-195, 4885
Solve -2*v**2/11 + 8994552*v/11 + 8994554/11 = 0.
-1, 4497277
Factor -3*b**2/5 - 179961*b/5 - 1439496/5.
-3*(b + 8)*(b + 59979)/5
Factor -3*t**2/2 + 15330591*t - 78342340136427/2.
-3*(t - 5110197)**2/2
Suppose 1482*k**3/5 + 59281494*k**2/5 - 58802952*k/5 - 480024/5 = 0. What is k?
-40002, -2/247, 1
Factor w**2 - 309786409*w.
w*(w - 309786409)
Factor q**2/3 - 780146*q/3 - 5461169.
(q - 780167)*(q + 21)/3
Suppose 7*u**4 + 123652*u**3 + 545976566*u**2 - 780165892*u + 234065667 = 0. What is u?
-8833, 3/7, 1
Let -a**4/9 - 8762*a**3/9 - 6710927*a**2/3 - 4116475220*a/9 - 220721436100/9 = 0. What is a?
-4271, -110
Let o**2/5 - 598376*o/5 - 1077093 = 0. Calculate o.
-9, 598385
Factor -2*h**2/13 - 8650*h/13 +