**3 + 6236*t**2 - 8356*t - 13888 = 0. Calculate t.
-16, -14, -1, 2, 31
What is u in u**4/8 + 1917*u**3/8 + 19069*u**2/8 - 1917*u/8 - 9535/4 = 0?
-1907, -10, -1, 1
Factor 5*x**5 - 70*x**4 + 220*x**3 - 200*x**2.
5*x**2*(x - 10)*(x - 2)**2
Factor -3*s**4 + 3093*s**3 + 46845*s**2 + 234975*s + 392250.
-3*(s - 1046)*(s + 5)**3
Suppose 2*o**4/11 - 400*o**3/11 + 1576*o**2/11 - 1568*o/11 = 0. Calculate o.
0, 2, 196
Find t such that -3*t**5 - 6*t**4 + 81*t**3 + 24*t**2 - 204*t - 144 = 0.
-6, -1, 2, 4
Let 16*o**5 - 450*o**4 + 2712*o**3 + 6388*o**2 + 2760*o - 450 = 0. What is o?
-1, 1/8, 15
Determine r, given that -2*r**5/3 - 344*r**4/3 - 3330*r**3 = 0.
-135, -37, 0
Solve -3*v**3 + 138*v**2 + 2301*v = 0 for v.
-13, 0, 59
Determine n so that -2*n**2 + 1612*n - 324818 = 0.
403
Solve j**5/5 - 1109*j**4/5 + 6623*j**3/5 - 1103*j**2 = 0.
0, 1, 5, 1103
Find w, given that 170*w**3 + 12185*w**2 - 3975*w - 1080 = 0.
-72, -3/17, 1/2
Find s, given that -2*s**4/7 - 13092*s**3/7 - 52338*s**2/7 - 13072*s/7 + 78504/7 = 0.
-6542, -3, -2, 1
Factor -4*y**4 + 508*y**3 + 536*y**2 - 3072*y.
-4*y*(y - 128)*(y - 2)*(y + 3)
Determine a, given that a**5 - 2*a**4 - 58*a**3 + 128*a**2 + 561*a - 630 = 0.
-7, -3, 1, 5, 6
Determine b, given that b**5 + 3695*b**4 + 66147*b**3 - 143383*b**2 + 73540*b = 0.
-3677, -20, 0, 1
Determine i so that -2*i**5 + 8652*i**4 - 9365784*i**3 + 18696976*i**2 = 0.
0, 2, 2162
Factor 2*j**3 - 6114*j**2 + 4663440*j + 14045400.
2*(j - 1530)**2*(j + 3)
Factor 2*q**2/11 - 8608*q + 101884288.
2*(q - 23672)**2/11
What is l in 2*l**4/9 + 82*l**3/9 + 808*l**2/9 - 328*l/9 - 1088/3 = 0?
-24, -17, -2, 2
Factor 2*p**4/7 + 212*p**3/7 + 1962*p**2/7 + 576*p.
2*p*(p + 3)*(p + 7)*(p + 96)/7
Solve p**5/4 - 5*p**4/2 - 117*p**3/2 + 7*p**2 + 713*p/4 + 231/2 = 0.
-11, -1, 2, 21
Factor 3*s**4/7 - 612*s**3/7 + 40674*s**2/7 - 965124*s/7 + 7460787/7.
3*(s - 83)**2*(s - 19)**2/7
Determine a so that -2*a**4/15 - 3128*a**3/15 - 18718*a**2/15 - 34288*a/15 - 6232/5 = 0.
-1558, -3, -2, -1
Determine q so that -2*q**3/5 + 900*q**2 - 8992*q/5 = 0.
0, 2, 2248
Factor -o**2/2 - 8069*o - 65108761/2.
-(o + 8069)**2/2
Factor o**5 + 71*o**4 + 42*o**3 - 12420*o**2 - 98712*o - 220320.
(o - 15)*(o + 6)**3*(o + 68)
Factor 2*y**2/7 - 134*y/7 - 6600/7.
2*(y - 100)*(y + 33)/7
Solve -5*w**3 - 45045*w**2 - 270135*w - 405135 = 0.
-9003, -3
Factor -h**4/2 + 85*h**3/2 - 258*h**2 - 1170*h.
-h*(h - 78)*(h - 10)*(h + 3)/2
Factor 3*s**2 - 80202*s + 536030067.
3*(s - 13367)**2
Suppose -2*f**2/3 + 1228484*f/3 - 188646617282/3 = 0. Calculate f.
307121
Solve -22*t**4 - 54*t**3 + 126*t**2 + 326*t + 168 = 0 for t.
-3, -1, 28/11
Solve -2*k**2/3 + 676*k/3 + 1360/3 = 0.
-2, 340
What is z in -15*z**4 - 102*z**3 + 8772*z**2 + 102*z - 8757 = 0?
-139/5, -1, 1, 21
Factor 4*a**3 + 1100*a**2 + 9576*a.
4*a*(a + 9)*(a + 266)
Suppose -5*y**2/4 + 48715*y/2 - 474630245/4 = 0. What is y?
9743
Factor -4*b**2 - 1064*b + 61740.
-4*(b - 49)*(b + 315)
Let 361*o**4/9 - 405365*o**3/9 + 1170287*o**2/9 + 126557*o/9 + 1120/3 = 0. Calculate o.
-1/19, 3, 1120
Factor -4*t**2 - 27076*t.
-4*t*(t + 6769)
Factor 2*s**2 - 50188*s - 50190.
2*(s - 25095)*(s + 1)
What is c in c**2 - 19*c - 6230 = 0?
-70, 89
What is m in 7219969*m**4/2 - 7166229*m**3/2 - 26820*m**2 - 50*m = 0?
-10/2687, 0, 1
Solve 3*v**2/2 + 1215*v/2 + 54264 = 0.
-272, -133
Find a such that -5*a**5/9 + 8543*a**4/9 - 13652*a**3/9 - 2276*a**2/3 = 0.
-2/5, 0, 2, 1707
Determine o so that -2*o**3/11 + 332*o**2/11 - 14104*o/11 + 26896/11 = 0.
2, 82
Find u, given that 203*u**2/3 - 18065*u/3 - 178/3 = 0.
-2/203, 89
Factor -2*b**2/3 + 70652*b/3 - 70646.
-2*(b - 35323)*(b - 3)/3
What is o in 3*o**3/4 + 201165*o**2/4 + 3372380349*o/4 + 3372179187/4 = 0?
-33527, -1
Determine p so that -4*p**2/7 + 49160*p/7 - 151044100/7 = 0.
6145
Factor j**2/2 + 1685*j/2 + 842.
(j + 1)*(j + 1684)/2
Let 22*b**3/13 - 2518*b**2/13 + 13080*b/13 = 0. What is b?
0, 60/11, 109
Let -3*r**4 - 117*r**3 - 219*r**2 + 117*r + 222 = 0. Calculate r.
-37, -2, -1, 1
What is k in 4*k**3 + 328*k**2 + 4324*k - 106032 = 0?
-47, 12
Determine t so that -2*t**2/7 + 39008*t - 1331421056 = 0.
68264
Suppose -2*v**3/9 + 272*v**2/9 + 1510*v/3 = 0. What is v?
-15, 0, 151
Suppose -2*c**5 - 54*c**4 - 60*c**3 + 952*c**2 - 1200*c = 0. Calculate c.
-25, -6, 0, 2
Suppose 9*q**2 - 816*q + 3120 = 0. Calculate q.
4, 260/3
Factor 7*i**3 - 1117*i**2/2 - 3749*i/2 + 581.
(i - 83)*(2*i + 7)*(7*i - 2)/2
Factor p**2/3 + 6859*p/3 - 6860/3.
(p - 1)*(p + 6860)/3
Solve -12*k**5 - 28*k**4 + 89*k**3 + 34*k**2 - 8*k = 0.
-4, -1/2, 0, 1/6, 2
Determine r so that -192*r**5 + 88848*r**4 + 924237*r**3 + 3126453*r**2 + 3836547*r + 1545291 = 0.
-33/8, -1, 473
Factor -2*m**2/3 + 38132*m/3 - 181756178/3.
-2*(m - 9533)**2/3
Determine w, given that -2*w**2/13 - 38912*w/13 + 77832/13 = 0.
-19458, 2
Find n, given that n**4 - 21*n**3 + 3*n**2 + 325*n + 300 = 0.
-3, -1, 5, 20
Let 2*t**2/13 - 6028*t/13 - 552334/13 = 0. Calculate t.
-89, 3103
Factor x**2 + 1892*x - 3788.
(x - 2)*(x + 1894)
Factor -5*w**4 - 155*w**3 + 2950*w**2 - 9000*w.
-5*w*(w - 10)*(w - 4)*(w + 45)
Determine i so that -5*i**4 + 4655*i**3 + 18715*i**2 - 13935*i - 84150 = 0.
-3, 2, 935
Solve -10*r**3 + 45*r**2 - 45*r = 0.
0, 3/2, 3
Suppose -z**2 - 247*z - 6322 = 0. What is z?
-218, -29
What is j in j**2 + 47306*j - 47307 = 0?
-47307, 1
What is c in 147*c**5/2 - 2352*c**4 - 26619*c**3/2 - 10686*c**2 + 1086*c + 888 = 0?
-4, -1, -2/7, 2/7, 37
Determine w so that -w**5/5 + 22483*w**4/5 + 675137*w**3/5 + 5695369*w**2/5 + 9455264*w/5 + 4412548/5 = 0.
-14, -1, 22513
Factor b**2/4 + 76*b - 2817/4.
(b - 9)*(b + 313)/4
Determine t, given that -5*t**3 - 370*t**2 + 2875*t + 3240 = 0.
-81, -1, 8
Let -u**3/9 + 27*u**2 - 6992*u/9 + 4340/3 = 0. Calculate u.
2, 31, 210
Factor 4*b**3 - 107592*b**2 + 721669872*b + 24661309216.
4*(b - 13466)**2*(b + 34)
Let 7*i**5 + 1186*i**4/5 + 588*i**3 - 34088*i**2/5 + 3488*i/5 + 768 = 0. Calculate i.
-30, -8, -2/7, 2/5, 4
Factor 2*w**3/3 + 389*w**2/3 + 15853*w/3 - 8024/3.
(w + 59)*(w + 136)*(2*w - 1)/3
Find q such that -4*q**3 - 164*q**2 + 9104*q - 17520 = 0.
-73, 2, 30
Determine w so that 4*w**5 - 60*w**4 - 244*w**3 + 5932*w**2 - 15312*w + 9680 = 0.
-10, 1, 2, 11
Let 4*n**5/7 - 31884*n**4/7 - 54716*n**3 - 1372836*n**2/7 - 1915808*n/7 - 127728 = 0. What is n?
-7, -2, -1, 7983
Factor -q**3/3 - 401*q**2/3 + 2080*q.
-q*(q - 15)*(q + 416)/3
Factor -i**2/3 + 59*i + 3724/3.
-(i - 196)*(i + 19)/3
Factor -2*k**3 - 1252*k**2 + 8862*k.
-2*k*(k - 7)*(k + 633)
Let 2*s**5 - 454*s**4 + 8956*s**3 - 63464*s**2 + 173616*s - 118656 = 0. What is s?
1, 6, 8, 206
Let -4*k**3 + 908*k**2 - 27872*k - 2944784 = 0. Calculate k.
-41, 134
Determine p, given that 5*p**5 + 685*p**4 + 14495*p**3 + 55315*p**2 - 14500*p - 56000 = 0.
-112, -20, -5, -1, 1
Solve 5*r**3/6 - 56205*r**2 = 0.
0, 67446
Find i such that 3*i**2 + 1902696*i - 1902699 = 0.
-634233, 1
Find s, given that 5*s**5 - 610*s**4 + 19710*s**3 - 272160*s**2 + 1724085*s - 4133430 = 0.
9, 14, 81
Factor -5*o**2 - 225*o + 16380.
-5*(o - 39)*(o + 84)
Factor -5*x**3/7 + 2732*x**2/7 - 42752*x/7 + 169728/7.
-(x - 8)**2*(5*x - 2652)/7
What is p in 2*p**4 + 324494*p**3 + 13161233240*p**2 - 65812980744*p + 52651423008 = 0?
-81126, 1, 4
Find t such that t**2 - 224*t - 19856 = 0.
-68, 292
Suppose 6*d**2/7 + 16650*d/7 - 145800 = 0. What is d?
-2835, 60
Factor -4*f**2/5 - 444*f + 123624/5.
-4*(f - 51)*(f + 606)/5
Factor -p**3 + 1595*p**2 - 12712*p + 25392.
-(p - 1587)*(p - 4)**2
Factor -2*r**2/3 + 4130*r/3 + 49000.
-2*(r - 2100)*(r + 35)/3
Find g such that -3*g**4 + 972*g**3 + 7905*g**2 + 20862*g + 17928 = 0.
-3, -2, 332
Let i**2/2 + 53633*i/2 - 26817 = 0. What is i?
-53634, 1
Determine q, given that -40*q**3 + 315*q**2 + 955*q - 1050 = 0.
-3, 7/8, 10
Suppose 158*i**2/3 + 30179*i + 573 = 0. Calculate i.
-573, -3/158
Determine a so that 4*a**4 - 2252*a**3 + 15592*a**2 - 13344*a = 0.
0, 1, 6, 556
Find j such that -49*j**5/6 - 21*j**4/2 + 332*j**3/3 + 76*j**2/3 - 440*j + 968/3 = 0.
-22/7, 1, 2
Factor 3*a**2 + 773046*a + 49800009843.
3*(a + 128841)**2
What is u in -2*u**3/3 - 245176*u**2/3 + 2*u/3 + 245176/3 = 0?
-122588, -1, 1
Let 2*q**4/11 + 102*q**3/11 + 182*q**2/11 - 678*q/11 + 392/11 = 0. What is q?
-49, -4, 1
Factor 3*s**4 + 345*s**3 - 3267*s**2 + 9963*s - 10044.
3*(s - 3)**3*(s + 1