*w/11 + 3889620000/11 = 0?
210
Suppose -33*s**5 - 54*s**4 = 0. What is s?
-18/11, 0
Suppose 3*r**4 - 93*r**3 + 177*r**2 - 87*r = 0. Calculate r.
0, 1, 29
Find u such that -9*u**5 + 25*u**4 - 3*u**3 - 29*u**2 + 12*u + 4 = 0.
-1, -2/9, 1, 2
Factor -3*w**2 - 13935*w - 13932.
-3*(w + 1)*(w + 4644)
What is m in 21*m**3/4 + 41*m**2/4 + 19*m/4 - 1/4 = 0?
-1, 1/21
Find k such that -4*k**5 - 44*k**4 + 84*k**3 + 476*k**2 + 544*k + 192 = 0.
-12, -1, 4
What is x in 261*x**3/8 + 753*x**2/8 + 54*x - 15/2 = 0?
-2, -1, 10/87
Factor -3*r**2 + 3.
-3*(r - 1)*(r + 1)
Factor -2*s**3/11 + 62*s**2/11 - 60*s/11.
-2*s*(s - 30)*(s - 1)/11
Determine d, given that d**3 + 24*d**2 + 53*d - 210 = 0.
-21, -5, 2
Factor -45*x**2 + 620*x + 140.
-5*(x - 14)*(9*x + 2)
Solve -25*w**5 - 35*w**4 + 100*w**3 + 140*w**2 = 0.
-2, -7/5, 0, 2
Find o, given that -2*o**2/5 + 3088*o/5 + 618 = 0.
-1, 1545
Factor -4*n**4 - 448*n**3 - 16872*n**2 - 219040*n - 202612.
-4*(n + 1)*(n + 37)**3
Let -6*u**3/11 - 192*u**2/11 + 618*u/11 - 420/11 = 0. What is u?
-35, 1, 2
Let 5*s**4/2 - 95*s**3/4 + 315*s**2/4 - 405*s/4 + 135/4 = 0. What is s?
1/2, 3
Solve -2*y**2/3 + 20*y/3 - 14 = 0 for y.
3, 7
Find h such that 5*h**5 + 10*h**4 - 5*h**3 - 10*h**2 = 0.
-2, -1, 0, 1
Factor 60*w**3 - 2525*w**2 + 205*w + 210.
5*(w - 42)*(3*w - 1)*(4*w + 1)
Determine l so that 36*l**4 + 7068*l**3 + 348088*l**2 + 113680*l - 76832 = 0.
-98, -2/3, 1/3
Factor -n**3/2 - 105*n**2/2 - 3675*n/2 - 42875/2.
-(n + 35)**3/2
Find l, given that -l**2/4 - 63*l/4 = 0.
-63, 0
Factor 4*b**3 - 40*b**2 - 44*b.
4*b*(b - 11)*(b + 1)
Let 2*o**2/7 + 6*o + 76/7 = 0. Calculate o.
-19, -2
Find p, given that -5*p**4 - 885*p**3 + 5*p**2 + 885*p = 0.
-177, -1, 0, 1
Suppose -b**3 + 249*b**2 - 15624*b + 15376 = 0. What is b?
1, 124
Factor 3*g**5 - 54*g**4 + 351*g**3 - 972*g**2 + 972*g.
3*g*(g - 6)**2*(g - 3)**2
Solve -5*v**3 + 20*v**2 - 25*v + 10 = 0.
1, 2
Let 5*x**4 + 100*x**3 + 410*x**2 + 540*x + 225 = 0. What is x?
-15, -3, -1
Determine c so that c**2 + 73*c + 340 = 0.
-68, -5
Factor 2*s**2 - 580*s + 42050.
2*(s - 145)**2
Find w, given that w**3 + 9*w**2 + 15*w - 25 = 0.
-5, 1
Find c, given that c**4/6 - 5*c**2/2 - 5*c/3 + 4 = 0.
-3, -2, 1, 4
Determine p, given that -75*p**4 + 69*p**3 + 1206*p**2 + 1596*p + 120 = 0.
-2, -2/25, 5
Factor -n**2 + 2*n.
-n*(n - 2)
Let l**5 + 14*l**4 - 17*l**3 - 30*l**2 = 0. What is l?
-15, -1, 0, 2
Find u, given that -u**5 + 37*u**4 - 390*u**3 + 958*u**2 - 889*u + 285 = 0.
1, 15, 19
Determine o so that -4*o**4 + 12*o**3 + 48*o**2 - 80*o - 192 = 0.
-2, 3, 4
Suppose 4*t**3 + 24*t**2 - 108*t = 0. Calculate t.
-9, 0, 3
Determine b so that -33*b**4/5 - 3438*b**3/5 + 9903*b**2/5 - 5148*b/5 - 1284/5 = 0.
-107, -2/11, 1, 2
Factor 4*q**3 - 384*q**2 + 6480*q + 139968.
4*(q - 54)**2*(q + 12)
Factor 6*q**2/7 + 7884*q/7 + 7878/7.
6*(q + 1)*(q + 1313)/7
Solve 5*a**3 - 47*a**2 + 108*a - 36 = 0 for a.
2/5, 3, 6
Suppose 16*f**4/9 + 2*f**3/9 - 16*f**2/3 + 26*f/9 + 4/9 = 0. Calculate f.
-2, -1/8, 1
Let -2*w**3/7 - 6*w**2/7 + 72*w/7 - 64/7 = 0. Calculate w.
-8, 1, 4
Factor -o**3/5 - 13*o**2/5 - 8*o - 36/5.
-(o + 2)**2*(o + 9)/5
Factor -8*m**5 - 2908*m**4 - 263536*m**3 + 132496*m**2.
-4*m**2*(m + 182)**2*(2*m - 1)
Factor 2*k**4 - 43*k**3 + 99*k**2 - 77*k + 19.
(k - 19)*(k - 1)**2*(2*k - 1)
Factor 2*i**4/9 + 16*i**3/9 + 26*i**2/9 + 4*i/3.
2*i*(i + 1)**2*(i + 6)/9
Factor -4*b**2 - 1520*b - 4524.
-4*(b + 3)*(b + 377)
Suppose 147*w**3/4 + 1575*w**2/4 + 594*w + 243 = 0. What is w?
-9, -6/7
Let m**3/4 - 221*m**2/2 + 12099*m + 24642 = 0. What is m?
-2, 222
Factor 2*m**5/3 + 4*m**4/3 - 2*m**3.
2*m**3*(m - 1)*(m + 3)/3
Find s such that 2*s**2/17 - 24*s/17 + 22/17 = 0.
1, 11
Let s**2 - s - 2 = 0. Calculate s.
-1, 2
Factor -j**3/5 - 19*j**2 - 2072*j/5 - 13132/5.
-(j + 14)**2*(j + 67)/5
What is a in -a**4/5 + 14*a**3 - 1584*a**2/5 + 10368*a/5 + 27648/5 = 0?
-2, 24
Factor 2*h**4 - 1546*h**3 - 3100*h**2.
2*h**2*(h - 775)*(h + 2)
Solve -2*w**3/13 - 106*w**2/13 + 218*w/13 - 110/13 = 0.
-55, 1
What is w in 2*w**4 + 4*w**3 + 2*w**2 = 0?
-1, 0
Factor -4*p**2 - 284*p + 3984.
-4*(p - 12)*(p + 83)
Factor 2*h**4/7 + 26*h**3/7 + 78*h**2/7 + 54*h/7.
2*h*(h + 1)*(h + 3)*(h + 9)/7
Factor -3*z**2 + 2013*z + 2016.
-3*(z - 672)*(z + 1)
Factor -o**2 + 27*o/2 - 18.
-(o - 12)*(2*o - 3)/2
Factor -6*f**4 + 21*f**3 + 51*f**2 - 30*f.
-3*f*(f - 5)*(f + 2)*(2*f - 1)
Solve c**2 - 14*c + 49 = 0.
7
Factor 3*f**3 - 3*f**2 - 12*f + 12.
3*(f - 2)*(f - 1)*(f + 2)
What is g in g**3 + 1977*g**2 + 978120*g + 976144 = 0?
-988, -1
What is n in -5*n**4 + 490*n**3 - 485*n**2 = 0?
0, 1, 97
Factor 2*h**3/11 + 186*h**2/11 + 720*h/11 + 712/11.
2*(h + 2)**2*(h + 89)/11
Find n, given that 4*n**2 - 4*n - 48 = 0.
-3, 4
Suppose -k**3/2 = 0. What is k?
0
Suppose -2*l**2/7 + 488*l/7 - 968/7 = 0. Calculate l.
2, 242
Factor -3*n**4/2 - 15*n**3/2 - 6*n**2.
-3*n**2*(n + 1)*(n + 4)/2
Suppose -w**2 - 5*w + 66 = 0. Calculate w.
-11, 6
Find q such that q**2/4 - 99*q/2 + 197/4 = 0.
1, 197
Find v such that -v**2 - 443*v + 890 = 0.
-445, 2
Let -5*h**4/6 + 105*h**3/2 + 325*h**2/6 - 105*h/2 - 160/3 = 0. Calculate h.
-1, 1, 64
Let 2*k**4/3 + 134*k**3/3 + 980*k**2 + 7416*k + 6480 = 0. What is k?
-30, -18, -1
Let 2*z**3 - 70*z**2 + 574*z - 506 = 0. Calculate z.
1, 11, 23
Determine j so that -j**2/4 - 11*j/4 - 7 = 0.
-7, -4
Solve -2*b**2 - 90*b - 252 = 0 for b.
-42, -3
Factor -p**4 + 31*p**3/5 - 6*p**2/5.
-p**2*(p - 6)*(5*p - 1)/5
Find q such that -2*q**5/11 - 12*q**4/11 + 12*q**3/11 + 56*q**2/11 - 90*q/11 + 36/11 = 0.
-6, -3, 1
Let z**2 + 27*z - 370 = 0. What is z?
-37, 10
Suppose 200*w**3 - 785*w**2 - 60*w = 0. What is w?
-3/40, 0, 4
Factor 5*j**4 - 10*j**3 - 100*j**2 - 120*j.
5*j*(j - 6)*(j + 2)**2
Let -5*g**3 + 965*g**2 + 970*g = 0. What is g?
-1, 0, 194
Find b such that -5*b**3 + 35*b**2 + 40*b = 0.
-1, 0, 8
Factor -f**3/3 - 2*f**2/3.
-f**2*(f + 2)/3
Determine a so that -2*a**4/5 + 2*a**3 - 8*a**2/5 = 0.
0, 1, 4
Factor -4732*q**3 - 66872*q**2 - 245520*q - 64800.
-4*(7*q + 2)*(13*q + 90)**2
Factor 5*z**4 - 30*z**3 + 15*z**2 + 50*z.
5*z*(z - 5)*(z - 2)*(z + 1)
Factor -4*n**3 + 276*n**2 - 1056*n + 1040.
-4*(n - 65)*(n - 2)**2
Suppose -r**5/5 - 3*r**4/5 + 3*r**3/5 + 11*r**2/5 + 6*r/5 = 0. What is r?
-3, -1, 0, 2
Find f, given that -9*f**4 - 434*f**3 + 1263*f**2 - 616*f - 204 = 0.
-51, -2/9, 1, 2
Solve a**3/6 - 135*a**2 + 36450*a - 3280500 = 0 for a.
270
Factor -k**4/3 + 88*k**3/3 - 1936*k**2/3.
-k**2*(k - 44)**2/3
Factor 10*q**3 + 12*q**2 + 2*q.
2*q*(q + 1)*(5*q + 1)
Let i**5 + 7*i**4 - 17*i**3 + 9*i**2 = 0. What is i?
-9, 0, 1
Factor 2*a**2/7 - 2938*a/7 - 420.
2*(a - 1470)*(a + 1)/7
Factor u**5/3 + 47*u**4/3 + 730*u**3/3 + 1434*u**2 + 3591*u + 3249.
(u + 3)**3*(u + 19)**2/3
Solve 4*f**4 + 40*f**3 - 436*f**2 + 680*f = 0 for f.
-17, 0, 2, 5
Let 2*s**5/9 + 10*s**4/9 = 0. Calculate s.
-5, 0
Suppose 3*r**2/7 - 72*r/7 = 0. What is r?
0, 24
Factor -3*p**4 - 321*p**3 - 9036*p**2 - 23088*p + 32448.
-3*(p - 1)*(p + 4)*(p + 52)**2
Let -5*t**4 + 210*t**3 - 1955*t**2 - 210*t + 1960 = 0. What is t?
-1, 1, 14, 28
Determine p, given that -p**2/5 - 1119*p/5 + 224 = 0.
-1120, 1
Factor 4*v**4/15 - 2*v**3 + 14*v**2/15.
2*v**2*(v - 7)*(2*v - 1)/15
Solve 80*g**5 - 6635*g**4 + 12625*g**3 - 5665*g**2 - 405*g = 0.
-1/16, 0, 1, 81
Suppose m**3/2 + 279*m**2 + 51894*m + 3217428 = 0. Calculate m.
-186
Factor -5*j**4 - 10*j**3 + 25*j**2 + 30*j.
-5*j*(j - 2)*(j + 1)*(j + 3)
Factor -35*q**3/3 + 115*q**2/3 + 110*q/3 - 40/3.
-5*(q - 4)*(q + 1)*(7*q - 2)/3
Solve 2*g**5 - 18*g**4 + 28*g**3 + 68*g**2 - 30*g - 50 = 0.
-1, 1, 5
What is p in 4*p**4/5 + 392*p**3/5 + 9988*p**2/5 + 18816*p/5 + 9216/5 = 0?
-48, -1
Suppose -4*c**5 - 28*c**4 - 60*c**3 - 36*c**2 = 0. Calculate c.
-3, -1, 0
Factor -3*z**3 - 273*z**2 + 294*z + 1656.
-3*(z - 3)*(z + 2)*(z + 92)
Factor -5*v**2 - 340*v.
-5*v*(v + 68)
Find a such that -2*a**5 + 48*a**4 + 8*a**3 - 192*a**2 = 0.
-2, 0, 2, 24
Factor 5*p**3 - 115*p**2 + 780*p - 1440.
5*(p - 12)*(p - 8)*(p - 3)
Determine r, given that 3*r**5 - 3*r**4 - 6*r**3 + 6*r**2 + 3*r - 3 = 0.
-1, 1
Find s, given that 3*s**3 - 9*s**2 = 0.
0, 3
Factor 2*z**2/5 - 56*z/5.
2*z*(z - 28)/5
Find v such that 2*v**2/9 - 496*v/9 = 0.
0, 248
Factor 8*t**2/9 - 98*t/9 + 8/3.
2*(t - 12)*(4*t - 1)/9
Factor -2*r**2/3 + 38*r/5 - 72/5.
-2*(r - 9)*(5*r - 12)/15
Find d, gi