5
Let -2*n**3 + 834*n**2 - 65932*n = 0. Calculate n.
0, 106, 311
Find t such that t**2 - 22268*t + 123965956 = 0.
11134
Solve -5*p**3 + 3120*p**2 - 315945*p + 8806930 = 0 for p.
59, 506
Suppose -4*s**4/5 + 74*s**3/5 - 388*s**2/5 + 114*s - 252/5 = 0. What is s?
1, 6, 21/2
Determine y, given that -5*y**5 - 195*y**4 - 675*y**3 + 25515*y**2 = 0.
-27, -21, 0, 9
Determine h so that h**3/6 - 473*h**2/6 + 6120*h + 814050 = 0.
-67, 270
Factor -2*z**2/11 + 1004*z/11 + 162798/11.
-2*(z - 631)*(z + 129)/11
Find h such that -2*h**2/3 - 1544*h/3 + 7336 = 0.
-786, 14
Determine y, given that y**5/4 - 4*y**4 - 37*y**3/4 + 142*y**2 + 141*y - 720 = 0.
-5, -3, 2, 6, 16
Factor -4*r**4 - 52*r**3 + 316*r**2 + 2740*r - 12600.
-4*(r - 5)**2*(r + 9)*(r + 14)
Determine r, given that -5*r**4 + 1640*r**3 - 9705*r**2 + 14510*r - 6440 = 0.
1, 4, 322
Factor v**4 + 196*v**3 + 2421*v**2 + 7686*v.
v*(v + 6)*(v + 7)*(v + 183)
Factor h**2/4 - 91963*h/2 + 8457193369/4.
(h - 91963)**2/4
Solve 5*y**2 - 848630*y + 848625 = 0 for y.
1, 169725
Let 2*u**4/5 + 1154*u**3 + 11534*u**2/5 + 5766*u/5 = 0. What is u?
-2883, -1, 0
Suppose -4*h**2 - 1032*h + 489952 = 0. Calculate h.
-502, 244
Find z such that 2*z**2/11 - 38374*z/11 + 460200/11 = 0.
12, 19175
Solve 2*i**3 + 1318*i**2/3 + 289520*i/9 + 7066400/9 = 0.
-220/3, -73
Let -4*x**2 + 376560*x - 8862339600 = 0. What is x?
47070
Factor 28*n**2 + 10257304*n + 2930656.
4*(n + 366332)*(7*n + 2)
Let -p**5 + 458*p**4 + 7620*p**3 - 17064*p**2 = 0. What is p?
-18, 0, 2, 474
Factor t**4/2 - 114*t**3 + 3023*t**2 + 396150*t + 12075625/2.
(t - 139)**2*(t + 25)**2/2
Factor -361201*j**2 + 2404*j - 4.
-(601*j - 2)**2
Determine j so that -2*j**4 - 374*j**3 + 14*j**2 + 2606*j - 2244 = 0.
-187, -3, 1, 2
Solve 5*k**5/3 - 230*k**4 + 7930*k**3 + 2080*k**2/3 - 24265*k + 15870 = 0.
-2, 1, 69
Let 9*h**3 - 2859*h**2 - 9621*h - 2889 = 0. Calculate h.
-3, -1/3, 321
Suppose 100076492208*d**2/5 - 1095864*d/5 + 3/5 = 0. Calculate d.
1/182644
Factor -2*f**3/5 - 676*f**2/5 + 2042*f/5 - 1364/5.
-2*(f - 2)*(f - 1)*(f + 341)/5
Determine r so that -5*r**4 - 8835*r**3 - 3790860*r**2 + 98954240*r - 626196480 = 0.
-896, 12, 13
Factor 5*g**5 - 4575*g**4 - 23045*g**3 + 40995*g**2 + 372060*g + 496800.
5*(g - 920)*(g - 4)*(g + 3)**3
Factor y**3/7 - 741*y**2/7 - 748*y/7 + 636.
(y - 742)*(y - 2)*(y + 3)/7
Let -h**3/11 + 9315*h**2/11 = 0. Calculate h.
0, 9315
Find u such that -u**5/3 - 34*u**4/3 - 265*u**3/3 - 200*u**2 = 0.
-24, -5, 0
Solve -24*u**4/11 - 2170*u**3/11 - 888*u**2/11 + 98*u - 180/11 = 0 for u.
-90, -1, 1/4, 1/3
What is p in -5*p**3 - 17840*p**2 + 71440*p = 0?
-3572, 0, 4
Find z, given that -5*z**2 + 9430*z + 414735 = 0.
-43, 1929
Find a such that -2*a**2/7 - 3665484*a/7 - 1679471619282/7 = 0.
-916371
Solve 3*r**2/4 + 284229*r/2 + 26928708147/4 = 0.
-94743
Solve -2*z**2/17 - 56228*z/17 - 1236048/17 = 0.
-28092, -22
Factor 3*m**2 + 3090*m - 37512.
3*(m - 12)*(m + 1042)
Factor b**4/4 + 317*b**3/4 - b**2/4 - 317*b/4.
b*(b - 1)*(b + 1)*(b + 317)/4
Factor -2*u**2 - 368*u.
-2*u*(u + 184)
Suppose z**5 + 85*z**4 - 95*z**3 - 765*z**2 + 774*z = 0. Calculate z.
-86, -3, 0, 1, 3
Factor -l**2 - 6036*l - 78299.
-(l + 13)*(l + 6023)
Determine q so that -3*q**2/2 - 651539*q/2 + 108590 = 0.
-217180, 1/3
Let -25*f**2 - 19970*f + 19995 = 0. Calculate f.
-3999/5, 1
Factor -m**2/2 - 151*m/2 - 2574.
-(m + 52)*(m + 99)/2
Factor g**3 + 557*g**2 + 3311*g + 2755.
(g + 1)*(g + 5)*(g + 551)
Determine c, given that -7*c**2 + 1558*c - 12840 = 0.
60/7, 214
Factor 5*m**2 - 389475*m.
5*m*(m - 77895)
What is j in 2*j**5/7 + 794*j**4/7 - 3202*j**3/7 + 2406*j**2/7 = 0?
-401, 0, 1, 3
Factor m**3/5 - 14*m**2 + 45*m + 8100.
(m - 45)**2*(m + 20)/5
Factor -5*n**2 - 7420*n - 44340.
-5*(n + 6)*(n + 1478)
Factor c**4/6 + 1447*c**3/6 + 2891*c**2/6 + 1445*c/6.
c*(c + 1)**2*(c + 1445)/6
Factor -5*z**2 - 108450*z - 588070125.
-5*(z + 10845)**2
Solve -456*o**3 - 1492*o**2 + 4420*o + 776 = 0.
-97/19, -1/6, 2
Factor 4*w**2/3 + 6428*w/3 + 17056.
4*(w + 8)*(w + 1599)/3
Solve 2*u**5/13 - 690*u**4/13 + 55508*u**3/13 + 706968*u**2/13 - 66928*u - 1520832/13 = 0 for u.
-12, -1, 2, 178
Factor -4*c**3 + 56*c**2 + 2176*c + 4096.
-4*(c - 32)*(c + 2)*(c + 16)
Factor -5*m**3/6 + 19955*m**2/6 - 3325*m.
-5*m*(m - 3990)*(m - 1)/6
Suppose -2*i**2 + 1434*i + 2876 = 0. What is i?
-2, 719
Determine z, given that -3*z**3 + 9*z**2 + 17778*z - 17784 = 0.
-76, 1, 78
Let 2*i**4/3 - 1670*i**3/3 + 66924*i**2 - 6654208*i/3 + 6455104/3 = 0. Calculate i.
1, 68, 698
Find v such that 7*v**3 + 10799*v**2 - 57266*v + 15480 = 0.
-1548, 2/7, 5
Suppose -2*o**4/7 + 3866*o**3/7 - 30834*o**2/7 + 65470*o/7 - 5500 = 0. Calculate o.
1, 2, 5, 1925
Factor -o**4 - 3108*o**3 + 3109*o**2.
-o**2*(o - 1)*(o + 3109)
Find m such that 2*m**4/9 - 76378*m**3/9 - 381934*m**2/9 - 76394*m/3 + 76388 = 0.
-3, 1, 38194
Let -2*o**2/5 + 3858*o/5 + 11592/5 = 0. Calculate o.
-3, 1932
Factor -4*s**3 - 286076*s**2 - 1144252*s - 858180.
-4*(s + 1)*(s + 3)*(s + 71515)
What is y in 5*y**5 - 35*y**4 - 865*y**3 + 1915*y**2 + 6260*y + 3520 = 0?
-11, -1, 4, 16
Determine g so that -g**2/2 + 595727*g - 354890658529/2 = 0.
595727
Factor 2*j**3 + 766*j**2 + 3788*j + 3024.
2*(j + 1)*(j + 4)*(j + 378)
Factor 3*a**2 + 29886*a - 29889.
3*(a - 1)*(a + 9963)
Solve -4*d**4 + 4140*d**3 - 1105612*d**2 + 17682660*d - 16581184 = 0.
1, 16, 509
Factor -55*h**3 - 131790*h**2 - 78960180*h - 14352040.
-5*(h + 1198)**2*(11*h + 2)
Solve -5*u**3/4 - 27675*u**2/4 + 6920*u = 0 for u.
-5536, 0, 1
Find l such that -21*l**5 - 1987530*l**4 - 47025385662*l**3 + 80619936024*l**2 - 20155764837*l - 13436797974 = 0.
-47323, -2/7, 1
Factor -y**4/5 + 32*y**3/5 - 87*y**2/5.
-y**2*(y - 29)*(y - 3)/5
Let y**5 + 8539*y**4 + 18267019*y**3 + 163916761*y**2 + 436701880*y + 291043600 = 0. Calculate y.
-4265, -4, -1
What is s in s**4/8 - 111*s**3/4 + 2519*s**2/8 + 111*s/4 - 315 = 0?
-1, 1, 12, 210
Determine w so that 3*w**2 - 172818*w + 2488838427 = 0.
28803
Find k, given that 56*k**5 + 704*k**4 + 2454*k**3 + 3514*k**2 + 2188*k + 480 = 0.
-8, -2, -15/14, -1, -1/2
Factor -5*r**4 + 135*r**3 - 955*r**2 + 825*r.
-5*r*(r - 15)*(r - 11)*(r - 1)
Determine o, given that o**5/8 - 5*o**4/4 - 13*o**3/4 + 47*o**2/2 - 263*o/8 + 55/4 = 0.
-5, 1, 2, 11
Determine v so that -3*v**4 - 10392*v**3 + 409854*v**2 + 10392*v - 409851 = 0.
-3503, -1, 1, 39
Factor 2*f**2/3 - 95764*f/3 - 287346.
2*(f - 47891)*(f + 9)/3
Factor 2*m**2 + 21090*m + 421000.
2*(m + 20)*(m + 10525)
Solve -2*c**4/5 - 389*c**3/5 - 18611*c**2/5 + 30576*c/5 + 86436/5 = 0.
-98, -3/2, 3
Factor -4*h**2 + 1064*h - 69312.
-4*(h - 152)*(h - 114)
Factor -k**2/4 + 103465*k - 10705006225.
-(k - 206930)**2/4
Solve -132*f**5 - 1941*f**4 - 1809*f**3 = 0 for f.
-603/44, -1, 0
Find k such that 172431*k**4 + 215250*k**3 + 81948*k**2 + 10200*k + 96 = 0.
-2/3, -2/7, -4/391
Suppose -14*f**5/17 + 276*f**4/17 + 122*f**3/17 - 856*f**2/17 + 312*f/17 + 160/17 = 0. Calculate f.
-2, -2/7, 1, 20
Solve h**3/11 - 26*h**2 + 27244*h/11 - 864360/11 = 0 for h.
90, 98
Find m, given that 3*m**5 + 474*m**4 + 18672*m**3 - 474*m**2 - 18675*m = 0.
-83, -75, -1, 0, 1
Factor -4*w**2/9 + 908*w/9 - 22288/9.
-4*(w - 199)*(w - 28)/9
Factor -27378*u**2 + 8892*u - 722.
-2*(117*u - 19)**2
Factor 4*m**4/5 + 88252*m**3/5 + 617568*m**2/5.
4*m**2*(m + 7)*(m + 22056)/5
Factor -3*b**2/5 - 122466*b/5 - 1249826763/5.
-3*(b + 20411)**2/5
Factor -n**5 + 60251*n**4 + 180759*n**3 + 180761*n**2 + 60254*n.
-n*(n - 60254)*(n + 1)**3
Factor -s**3/4 + 487*s**2/4 - 962*s + 1916.
-(s - 479)*(s - 4)**2/4
Let -2*v**2/13 + 8048*v/13 + 8050/13 = 0. Calculate v.
-1, 4025
Let l**5/2 + 297*l**4 + 2352*l**3 + 4688*l**2 = 0. Calculate l.
-586, -4, 0
Suppose 4*i**3 + 7776*i**2 - 341596*i + 333816 = 0. What is i?
-1987, 1, 42
Let 2*x**2 - 646*x - 18900 = 0. Calculate x.
-27, 350
Factor -w**2 - 12375*w - 12374.
-(w + 1)*(w + 12374)
Solve 3*z**4/5 - 63*z**3/5 - 414*z**2/5 + 588*z/5 + 936/5 = 0 for z.
-6, -1, 2, 26
Factor -4*v**4/9 - 117448*v**3/9 - 862361908*v**2/9 - 383115376*v - 383063184.
-4*(v + 2)**2*(v + 14679)**2/9
Factor 2*x**3 - 4350*x**2 - 48176*x + 183624.
2*(x - 2186)*(x - 3)*(x + 14)
Find n such that 10*n**3/9 - 168*n**2 + 1544*n/3 + 15392/9 = 0.
-2, 26/5, 148
Determine x so that 5*x**5/4 + 690*x**4 + 6125*x**3 + 17625*x**2/2 - 24505*x/4 - 19005/2 = 0.
