460)/3
Suppose -4*s**4 + 5140*s**3 = 0. What is s?
0, 1285
Suppose -2*j**4 + 84*j**3 + 5998*j**2 - 65280*j + 167200 = 0. What is j?
-44, 5, 76
Factor -k**2 - 1400308*k - 490215623716.
-(k + 700154)**2
Suppose 16010*l**2 + 32016*l - 8 = 0. Calculate l.
-2, 2/8005
Suppose -4*n**5/7 + 132*n**4/7 - 444*n**3/7 - 1564*n**2 = 0. What is n?
-7, 0, 17, 23
Factor 2*q**3/5 + 626*q**2/5 + 1244*q/5.
2*q*(q + 2)*(q + 311)/5
Factor 3*f**3/4 - 357*f**2/2 + 23163*f/4 + 5970.
3*(f - 199)*(f - 40)*(f + 1)/4
Find i, given that 15*i**5 + 1805*i**4 + 53585*i**3 - 38345*i**2 - 53600*i + 36540 = 0.
-63, -58, -1, 2/3, 1
Factor -3*j**3 - 36*j**2 - 144*j - 192.
-3*(j + 4)**3
Suppose -2*y**3 + 726*y**2 - 59428*y - 121776 = 0. What is y?
-2, 129, 236
Factor -2*h**2/13 - 1381376*h/13 - 238524956672/13.
-2*(h + 345344)**2/13
Determine l, given that 5*l**2/4 + 125*l/2 = 0.
-50, 0
Let 4*i**3 - 5076*i**2 + 60480*i - 181008 = 0. What is i?
6, 1257
Solve 2*q**2 - 11566*q - 961860 = 0.
-82, 5865
Factor 4*n**2 - 8988*n + 53784.
4*(n - 2241)*(n - 6)
Factor -q**2 + 38586*q - 372219849.
-(q - 19293)**2
Suppose y**4/2 - 61*y**3/2 - 56*y**2 + 1574*y - 1488 = 0. Calculate y.
-8, 1, 6, 62
Let -14*p**4/3 + 598*p**3/3 - 2178*p**2 + 4202*p/3 + 1748/3 = 0. Calculate p.
-2/7, 1, 19, 23
Suppose u**4/5 + 34*u**3/5 - 64*u**2 + 672*u/5 = 0. Calculate u.
-42, 0, 4
Factor -27889*d**3 + 5801580*d**2 - 138948*d + 832.
-(d - 208)*(167*d - 2)**2
Suppose 3*z**4 + 312*z**3 + 6429*z**2 - 7380*z - 13500 = 0. What is z?
-75, -30, -1, 2
Find c, given that c**3/3 + 18518*c**2 + 257205760*c + 1543012352/3 = 0.
-27776, -2
Solve -2*d**5/3 + 266*d**4/3 - 7820*d**3/3 - 43720*d**2/3 - 72368*d/3 - 36736/3 = 0.
-2, -1, 56, 82
Let j**4 + 3365*j**3/3 + 946402*j**2/3 + 1570240*j/3 + 627200/3 = 0. What is j?
-560, -1, -2/3
Find k, given that 98*k**5/15 - 2296*k**4/15 + 3736*k**3/5 + 6976*k**2/15 + 1024*k/15 = 0.
-2/7, 0, 8, 16
Suppose 8*b**5/13 + 320*b**4/13 + 3738*b**3/13 + 17226*b**2/13 + 30564*b/13 + 18144/13 = 0. Calculate b.
-24, -7, -6, -3/2
Let -5*o**4 + 125*o**3 - 780*o**2 - 1280*o + 16640 = 0. Calculate o.
-4, 8, 13
What is l in -2*l**4 + 360*l**3 - 1418*l**2 + 1764*l - 704 = 0?
1, 2, 176
Factor -g**2/4 + 8179*g/2 + 16362.
-(g - 16362)*(g + 4)/4
Suppose 32*r**5 + 11238*r**4 + 970714*r**3 - 2803314*r**2 + 1445382*r + 375948 = 0. Calculate r.
-177, -3/16, 1, 2
Let x**2/5 + 3541*x/5 + 708 = 0. What is x?
-3540, -1
Find a such that -20*a**5 + 4688*a**4 + 36448*a**3 + 81152*a**2 + 38848*a - 30976 = 0.
-4, -2, 2/5, 242
Determine c, given that 2*c**5 + 64*c**4 - 586*c**3 - 1368*c**2 + 7488*c = 0.
-39, -4, 0, 3, 8
Factor 1961958436*p**2 - 177176*p + 4.
4*(22147*p - 1)**2
What is j in -5*j**4 + 280*j**3 + 4035*j**2 + 3170*j - 7480 = 0?
-11, -2, 1, 68
What is m in -4*m**4 + 236*m**3 + 2644*m**2 + 7924*m + 5520 = 0?
-5, -4, -1, 69
Find b such that 3*b**3/5 - 304338*b**2/5 + 7718468187*b/5 = 0.
0, 50723
Factor 2*w**3/7 - 20*w**2 + 1914*w/7 + 1008.
2*(w - 49)*(w - 24)*(w + 3)/7
Factor -2*m**3/13 + 5618*m**2/13 + 50724*m/13.
-2*m*(m - 2818)*(m + 9)/13
Factor 4*s**2 - 117872*s + 868363024.
4*(s - 14734)**2
Find g, given that -9*g**5/4 + 57*g**4/2 - 165*g**3/4 = 0.
0, 5/3, 11
Solve -186*n**5 - 3273*n**4 - 12033*n**3 + 5562*n**2 + 648*n = 0.
-12, -6, -3/31, 0, 1/2
Factor 2*u**2 + 206*u - 21840.
2*(u - 65)*(u + 168)
Let 2*t**3/3 + 1128*t**2 + 480510*t + 2842596 = 0. What is t?
-843, -6
Factor 2*j**2 - 168*j + 2646.
2*(j - 63)*(j - 21)
Suppose 8*q**2 + 875700*q - 437852 = 0. What is q?
-109463, 1/2
Solve -72*o**4 + 3594*o**3 + 39046*o**2 - 27218*o + 4602 = 0 for o.
-39/4, 1/3, 59
Find u, given that 2*u**4/3 + 246*u**3 - 9062*u**2/3 + 10386*u - 10668 = 0.
-381, 2, 3, 7
Suppose 35*h**2 + 2340*h + 10825 = 0. Calculate h.
-433/7, -5
Factor -30*d**2 - 4258*d + 8636.
-2*(d - 2)*(15*d + 2159)
Determine l, given that -l**4 + 11814*l**3/5 + 2363*l**2/5 = 0.
-1/5, 0, 2363
Suppose -4*j**4 + 668*j**3 + 3424*j**2 + 2752*j = 0. Calculate j.
-4, -1, 0, 172
What is p in 5*p**4 + 1745*p**3 + 158025*p**2 + 972135*p - 4386150 = 0?
-171, -10, 3
Determine k, given that -2*k**3/7 + 5086*k**2/7 + 10180*k/7 = 0.
-2, 0, 2545
Factor 3*a**2/8 + 67341*a/4 + 1511603427/8.
3*(a + 22447)**2/8
Factor 2*m**5 - 264*m**4 - 83032*m**3 + 6055104*m**2 + 1052120192*m.
2*m*(m - 188)**2*(m + 122)**2
Factor -3*o**5 + 78165*o**4 - 509264505*o**3 + 1527324555*o**2 - 1527168240*o + 509030028.
-3*(o - 13026)**2*(o - 1)**3
Determine g, given that -4*g**5 - 528*g**4 - 11136*g**3 - 85504*g**2 - 279552*g - 331776 = 0.
-108, -12, -4
Determine a, given that -3*a**3 - 1833*a**2/7 + 52608*a/7 + 15180/7 = 0.
-110, -2/7, 23
Determine s, given that -s**5 + 914*s**4 - 1820*s**3 - 3650*s**2 + 1821*s + 2736 = 0.
-1, 1, 3, 912
Factor -4*w**3 + 2324*w**2 - 338144*w + 335824.
-4*(w - 302)*(w - 278)*(w - 1)
Let 342*j**4 - 11730*j**3 - 28624*j**2 - 22120*j - 5568 = 0. What is j?
-1, -2/3, 696/19
Solve f**2 + 248*f + 9751 = 0.
-199, -49
Factor 12712858227*n**3/8 + 705976965*n**2/2 - 260361*n/8 + 3/4.
3*(9*n + 2)*(21699*n - 1)**2/8
Solve -4*p**3 - 2592*p**2 + 5232*p + 20800 = 0 for p.
-650, -2, 4
Solve 3*q**4/8 + 135*q**3/8 + 819*q**2/8 - 8967*q/8 - 15435/4 = 0.
-35, -14, -3, 7
Find g, given that 8*g**4/3 - 123457*g**3/3 + 15410*g**2/3 + 113173*g - 77160 = 0.
-15/8, 1, 15432
Determine u so that -3*u**3 + 5337*u**2 - 2360232*u - 11934960 = 0.
-5, 892
Let 3*m**5/8 - 195*m**4/8 - 10845*m**3/8 + 72915*m**2/8 + 52221*m/4 - 20790 = 0. What is m?
-40, -2, 1, 7, 99
Suppose 15*g**2 - 32958*g + 6591 = 0. Calculate g.
1/5, 2197
Let -4*f**2 + 836*f + 6944 = 0. What is f?
-8, 217
Factor -5*c**3 - 260*c**2 + 5245*c - 13260.
-5*(c - 13)*(c - 3)*(c + 68)
Let -12*y**4 - 25604*y**3 - 15965820*y**2 - 2348987676*y - 1558903448 = 0. What is y?
-961, -211, -2/3
Let 6*y**3/5 + 108314*y**2/5 + 685788*y/5 + 144368 = 0. What is y?
-18046, -5, -4/3
Factor -6*w**2/7 + 788982*w/7 + 1577988/7.
-6*(w - 131499)*(w + 2)/7
Factor 4*f**3 - 18432*f**2 - 4*f + 18432.
4*(f - 4608)*(f - 1)*(f + 1)
Factor 4*d**3 + 352*d**2 + 7500*d + 24624.
4*(d + 4)*(d + 27)*(d + 57)
Factor -2*m**2/3 + 260*m/3 + 6000.
-2*(m - 180)*(m + 50)/3
Factor -m**2/6 + 109*m/3 + 3145/2.
-(m - 255)*(m + 37)/6
Factor -4*n**2/7 + 15760*n/7 - 15756/7.
-4*(n - 3939)*(n - 1)/7
Solve -3*q**5 + 72*q**4 + 2202*q**3 + 17892*q**2 + 59145*q + 69300 = 0 for q.
-7, -5, -3, 44
Factor -g**2/5 + 567*g/5 - 3724.
-(g - 532)*(g - 35)/5
Factor f**2 + 90688*f + 2056078336.
(f + 45344)**2
Factor -2*j**2 + 925880*j - 107156721800.
-2*(j - 231470)**2
Factor 9*h**2 - 69*h/2 + 45/2.
3*(h - 3)*(6*h - 5)/2
Find m, given that 2*m**3/5 + 226*m**2/5 + 176*m + 872/5 = 0.
-109, -2
Find j, given that -11858*j**5/3 + 509278*j**4/3 + 2315074*j**3/3 - 2667398*j**2/3 - 143216*j/3 - 1880/3 = 0.
-5, -2/77, 1, 47
Let -3*k**4 - 129954*k**3 - 1406946927*k**2 + 8445190644*k - 12669540588 = 0. What is k?
-21662, 3
Find r, given that r**4 - 2881*r**3 - 28934*r**2 + 69384*r = 0.
-12, 0, 2, 2891
Let 3*s**5/7 + 114*s**4/7 + 219*s**3/7 + 108*s**2/7 = 0. Calculate s.
-36, -1, 0
Find k such that -2*k**5/3 - 396*k**4 - 10570*k**3/3 - 7808*k**2 - 4680*k = 0.
-585, -6, -2, -1, 0
Factor 4*r**4/3 - 388*r**3 + 7952*r**2/3.
4*r**2*(r - 284)*(r - 7)/3
What is n in 2*n**3 - 56*n**2/5 - 11942*n/5 + 11988/5 = 0?
-162/5, 1, 37
Find o, given that 3*o**2/8 - 273813*o/8 + 136905/4 = 0.
1, 91270
Find g such that -g**5/7 + 15*g**4/7 + 117*g**3/7 + 185*g**2/7 + 12*g = 0.
-4, -1, 0, 21
What is t in -3*t**2 - 39018*t - 126867027 = 0?
-6503
Factor -v**3 + 376*v**2 + 76359*v - 76734.
-(v - 522)*(v - 1)*(v + 147)
Find x, given that 100*x**4/7 - 10820*x**3/7 + 298016*x**2/7 - 287296*x/7 = 0.
0, 1, 268/5
Factor -o**2 + 247470*o - 15310350225.
-(o - 123735)**2
Factor -3*i**2 + 33114*i + 497385.
-3*(i - 11053)*(i + 15)
What is q in 4*q**4 - 3988*q**3 + 1322676*q**2 - 145042812*q - 295408296 = 0?
-2, 333
Factor 2*u**3 - 542*u**2 + 1028*u + 12912.
2*(u - 269)*(u - 6)*(u + 4)
Factor -4*m**4 + 3464*m**3 - 780484*m**2 + 13218624*m - 58247424.
-4*(m - 424)**2*(m - 9)**2
Factor -p**3 + 30*p**2 + 1864*p - 3840.
-(p - 60)*(p - 2)*(p + 32)
Determine q, given that -q**2/2 - 186*q - 1456 = 0.
-364, -8
Factor -5*g**3 - 254795*g**2 - 509575*g - 254785.
-5*(g + 1)**2*(g + 50957)
What is k in 5*k**3 - 250*k**2 + 3185*k - 7440 = 0?
3, 16, 31
What is f 