108, -2, -1, 1, 3
Let q**4 - 29*q**3 + 24*q**2 + 116*q - 112 = 0. What is q?
-2, 1, 2, 28
Solve -l**2 + 18*l - 65 = 0.
5, 13
Find u, given that -88*u**4 - 86*u**3 + 1850*u**2 + 3918*u - 90 = 0.
-3, 1/44, 5
Solve 2*s**2/15 - 40552*s/15 + 205558088/15 = 0.
10138
Determine p so that 4*p**4/5 + 174244*p**3/5 + 379529568*p**2 + 379494720*p = 0.
-21780, -1, 0
Solve i**5/4 - 321*i**4/4 + 1903*i**3/4 - 4107*i**2/4 + 946*i - 315 = 0.
1, 2, 315
Suppose -l**3/3 - 722*l**2/3 - 479*l + 720 = 0. What is l?
-720, -3, 1
Factor a**3 - 103*a**2 + 836*a + 940.
(a - 94)*(a - 10)*(a + 1)
Factor 4*g**2 + 25532*g + 229464.
4*(g + 9)*(g + 6374)
Factor -2*d**2/9 + 85382*d/9 - 28460/3.
-2*(d - 42690)*(d - 1)/9
Determine k so that -2*k**5/15 - 542*k**4/5 + 16462*k**3/15 + 542*k**2/5 - 3292*k/3 = 0.
-823, -1, 0, 1, 10
Find k, given that -2405115757088*k**2/5 + 13159344*k/5 - 18/5 = 0.
3/1096612
Suppose s**4 - 2740*s**3 - 24733*s**2 - 21992*s = 0. Calculate s.
-8, -1, 0, 2749
Find w, given that w**5/3 + 10*w**4/3 - 39*w**3 - 1018*w**2/3 - 2428*w/3 - 616 = 0.
-14, -3, -2, 11
Factor 39*z**2/5 + 2688*z/5 - 207/5.
3*(z + 69)*(13*z - 1)/5
Factor 6703351876*c**2 - 654992*c + 16.
4*(40937*c - 2)**2
Solve 6368547*y**5 + 25579092*y**4 - 18685593*y**3 - 114946830*y**2 - 1889568*y - 7776 = 0.
-3, -12/1457, 2
Suppose -20*j**4 - 1835*j**3 - 55640*j**2 - 552255*j + 141570 = 0. What is j?
-33, -26, 1/4
Suppose 35*h**3 - 1550*h**2 - 18460*h + 5400 = 0. What is h?
-10, 2/7, 54
Determine u, given that -40*u**4 + 965*u**3 - 560*u**2 - 10985*u + 1380 = 0.
-3, 1/8, 4, 23
Determine l, given that -5*l**5/4 - 7105*l**4/4 + 14295*l**3/4 + 92545*l**2/4 + 35575*l/2 = 0.
-1423, -2, -1, 0, 5
Factor r**2/4 - 166*r + 54055/4.
(r - 569)*(r - 95)/4
Factor -3*k**3 + 2130*k**2 + 140709*k + 2225676.
-3*(k - 772)*(k + 31)**2
Solve 6*i**4 + 545*i**3 - 91*i**2 = 0 for i.
-91, 0, 1/6
Factor z**3 - 213*z**2 + 4964*z + 10788.
(z - 186)*(z - 29)*(z + 2)
Solve -6*c**2 + 34157*c + 5693 = 0.
-1/6, 5693
Factor y**3/2 + y**2/2 - 513*y + 4212.
(y - 26)*(y - 9)*(y + 36)/2
Factor -4*r**4 + 110348*r**3 - 1014796980*r**2 + 3111705512100*r - 6219352719000.
-4*(r - 9195)**3*(r - 2)
Factor -n**2 - 47*n - 172.
-(n + 4)*(n + 43)
Factor -3*w**2 - 2786790*w - 647183208675.
-3*(w + 464465)**2
Suppose -2*v**3/5 - 2046*v**2 + 10240*v = 0. What is v?
-5120, 0, 5
Factor u**2 + 779*u + 26040.
(u + 35)*(u + 744)
Factor -5*w**2 + 15780*w - 12450420.
-5*(w - 1578)**2
What is x in x**2/6 - 12835*x/3 + 164737225/6 = 0?
12835
Determine t so that -18*t**4/7 + 7156*t**3/7 - 716760*t**2/7 + 156816*t = 0.
0, 14/9, 198
Factor 3*j**4/5 - 2253*j**3/5 - 4518*j**2/5.
3*j**2*(j - 753)*(j + 2)/5
Solve 374406*u**2 + 374414*u + 8 = 0 for u.
-1, -4/187203
Find v such that -2*v**2/7 - 24784*v/7 - 7080 = 0.
-12390, -2
What is i in -2*i**3/5 - 53668*i**2/5 + 107342*i/5 - 53672/5 = 0?
-26836, 1
Find j, given that -37*j**4/4 - 3439*j**3/4 - 40755*j**2/2 - 18469*j + 1058 = 0.
-46, -1, 2/37
What is w in -4*w**3/5 - 219388*w**2/5 - 3007425404*w/5 + 21062729212/5 = 0?
-27427, 7
Factor -p**3/5 - 294*p**2/5 - 3944*p/5 - 1344.
-(p + 2)*(p + 12)*(p + 280)/5
Solve -4*i**3 - 160*i**2 + 2876*i + 6360 = 0 for i.
-53, -2, 15
Factor -85*s**3 + 580*s**2 + 105*s.
-5*s*(s - 7)*(17*s + 3)
Determine o so that 72*o**4 - 1408*o**3 + 5082*o**2 - 2438*o + 120 = 0.
1/18, 1/2, 4, 15
Factor -d**4/4 + 7*d**3/4 - 5*d**2/2.
-d**2*(d - 5)*(d - 2)/4
Suppose 2*c**5/5 - 5424*c**4/5 + 54106*c**3/5 - 178404*c**2/5 + 194544*c/5 = 0. What is c?
0, 3, 4, 2702
Factor -j**3/2 + 187493*j**2/2 - 8788312515*j/2 - 8788500009/2.
-(j - 93747)**2*(j + 1)/2
Factor -x**2 - 265*x - 9184.
-(x + 41)*(x + 224)
Factor 15224*p**2 - 182692*p + 48.
4*(p - 12)*(3806*p - 1)
Factor -i**2 + 342*i + 28359.
-(i - 411)*(i + 69)
Let 65*w**5/3 + 2185*w**4 + 53765*w**3 - 207295*w**2/3 - 103360*w + 17340 = 0. Calculate w.
-51, -1, 2/13, 2
Solve 3*g**5 - 993*g**4 - 136458*g**3 - 4001082*g**2 + 136455*g + 4002075 = 0 for g.
-55, -1, 1, 441
Determine j, given that -22*j**4 - 250*j**3 - 418*j**2 + 474*j + 216 = 0.
-9, -3, -4/11, 1
Find l such that l**4/7 - 11763*l**3/7 + 58798*l**2/7 - 94068*l/7 + 47032/7 = 0.
1, 2, 11758
Factor -2*u**2/9 + 1994*u/9 + 263140/9.
-2*(u - 1115)*(u + 118)/9
Let n**4 + 496*n**3 + 5807*n**2 - 496*n - 5808 = 0. What is n?
-484, -12, -1, 1
Factor -62*g**3/9 + 100*g**2/9 + 16*g/3.
-2*g*(g - 2)*(31*g + 12)/9
Suppose 7*i**4 + 142*i**3 - 2571*i**2 + 1718*i + 704 = 0. Calculate i.
-32, -2/7, 1, 11
Solve -3*w**3 + 1383*w**2 - 18813*w + 17433 = 0.
1, 13, 447
Solve 3*t**2/4 + 93663*t/4 - 257664 = 0.
-31232, 11
What is q in -q**5/7 + 750*q**4/7 - 142848*q**3/7 + 830304*q**2/7 = 0?
0, 6, 372
Factor -2*j**2 + 3318*j + 449820.
-2*(j - 1785)*(j + 126)
Factor -11*t**2/3 + 7550*t.
-t*(11*t - 22650)/3
Find p, given that p**2 - 729*p + 113120 = 0.
224, 505
Find i such that 34*i**5 + 246*i**4 - 302*i**3 - 726*i**2 + 268*i + 480 = 0.
-8, -1, 1, 30/17
Factor -5*f**3 - 143865*f**2 - 1034928840*f - 1034784980.
-5*(f + 1)*(f + 14386)**2
Solve -2*a**2/9 + 3076*a/3 + 185360/9 = 0 for a.
-20, 4634
Solve 169*f**3 + 1691*f**2/2 + 5*f/2 = 0.
-5, -1/338, 0
Determine x, given that -663*x**2 + 15270*x - 483 = 0.
7/221, 23
Factor -4*u**3 - 77447*u**2 + 174274*u - 38728.
-(u - 2)*(u + 19364)*(4*u - 1)
Determine h so that 5*h**3 - 4920*h**2 - 181980*h - 1652400 = 0.
-18, 1020
Find v such that -v**2/4 + 9642*v - 96395 = 0.
10, 38558
What is x in -3*x**3 + 66*x**2 + 8457*x - 97020 = 0?
-49, 11, 60
Factor 2*z**2 + 92608*z + 1072030208.
2*(z + 23152)**2
Determine r so that -r**3/4 + 883*r**2/4 + 443*r/2 - 442 = 0.
-2, 1, 884
Solve -2*h**2 + 202*h + 7224 = 0 for h.
-28, 129
Suppose 3*i**2 - 36972*i + 113910732 = 0. What is i?
6162
Factor -4*f**3 + 43120*f**2 - 86228*f + 43112.
-4*(f - 10778)*(f - 1)**2
Suppose -j**2/3 + 128212*j/3 - 4109579236/3 = 0. What is j?
64106
Solve -2*x**3/3 - 118*x**2 - 5010*x - 88550/3 = 0 for x.
-115, -55, -7
Factor 2*p**3 + 7736*p**2 + 123230*p - 130968.
2*(p - 1)*(p + 17)*(p + 3852)
Determine i, given that -i**3/2 - 2069*i**2 + 1009359*i/2 - 29924154 = 0.
-4372, 117
Let -h**5/6 + 431*h**4 + h**3/6 - 431*h**2 = 0. Calculate h.
-1, 0, 1, 2586
Factor -r**3/4 + 97823*r**2/4 - 97820*r + 97819.
-(r - 97819)*(r - 2)**2/4
Find n, given that -4*n**3 + 1165*n**2 - 42727*n - 43896 = 0.
-1, 177/4, 248
Factor -4*c**2 + 1388*c + 4200.
-4*(c - 350)*(c + 3)
Suppose -3*h**2/4 - 6729*h/2 - 133380 = 0. Calculate h.
-4446, -40
Factor t**2 + 2051*t - 6162.
(t - 3)*(t + 2054)
Factor -2*y**3 - 1526*y**2 - 267696*y + 9095328.
-2*(y - 29)*(y + 396)**2
Factor 5*b**3 + 165*b**2 - 390*b - 1400.
5*(b - 4)*(b + 2)*(b + 35)
Find w such that -12*w**3 + 596*w**2 - 5320*w = 0.
0, 35/3, 38
Factor 5*r**2 - 665*r + 22010.
5*(r - 71)*(r - 62)
What is w in -2*w**2/7 + 4824*w/7 - 4810 = 0?
7, 2405
Determine w so that -3*w**2/8 + 75945*w/8 = 0.
0, 25315
Factor -4*v**3 + 402868*v**2 - 10143309760*v - 30433555200.
-4*(v - 50360)**2*(v + 3)
Solve -5*h**2 + 164680*h - 1355975120 = 0.
16468
Determine k, given that 3*k**4 - 84*k**3 + 6*k**2 + 2100*k - 2025 = 0.
-5, 1, 5, 27
Solve -2*u**5 + 2402*u**4 + 73260*u**3 + 736600*u**2 + 2462000*u = 0 for u.
-10, 0, 1231
Factor 3*h**3/2 - 1527*h**2/2 + 69525*h/2 - 309825/2.
3*(h - 459)*(h - 45)*(h - 5)/2
Suppose -7*z**5/6 + 58*z**4/3 + 55*z**3/6 - 34*z**2/3 = 0. Calculate z.
-1, 0, 4/7, 17
Let 2*s**5/11 - 94*s**4/11 + 1568*s**3/11 - 12240*s**2/11 + 45792*s/11 - 6048 = 0. What is s?
6, 7, 22
Factor -v**3/2 + 1548*v**2 - 176261*v/2 + 86583.
-(v - 3038)*(v - 57)*(v - 1)/2
Suppose y**2 - 31630*y = 0. Calculate y.
0, 31630
Let -2*s**3 - 286*s**2 = 0. Calculate s.
-143, 0
Factor g**3/5 + 687*g**2/5 + 108936*g/5 - 633680.
(g - 25)*(g + 356)**2/5
Factor 2*z**3/7 - 275462*z**2/7 + 9485051910*z/7 - 9484776450/7.
2*(z - 68865)**2*(z - 1)/7
Let -2*y**2/5 - 216522*y/5 = 0. Calculate y.
-108261, 0
Suppose 2*d**3/5 + 1290*d**2 + 5197086*d/5 - 5203538/5 = 0. Calculate d.
-1613, 1
Determine h so that 5*h**3/3 + 77*h**2/3 + 9*h - 15 = 0.
-15, -1, 3/5
Factor -d**3 - 1814*d**2 + 7268*d - 7272.
-(d - 2)**2*(d + 1818)
Factor k**4/6 - 4534*k**3/3 + 18133*k**2/6 - 1511*k.
k*(k - 9066)*(k - 1)**2/6
Let 4*b**4 - 78892*b**3 + 236640*b**2 + 16*b - 315520 = 0. Calculate b.
-1, 2, 19720
Solve -3*t**5 + 459*t**4 - 5445*t**3 - 3099*t**2 + 138888*t 