, 15
Let 3*v**5/4 + 7*v**4/2 + 2*v**3 = 0. Calculate v.
-4, -2/3, 0
Factor -2*t**3/11 + 32*t**2/11 - 40*t/11 - 800/11.
-2*(t - 10)**2*(t + 4)/11
Suppose -3*f**2 + 273*f + 276 = 0. What is f?
-1, 92
Find s, given that s**5/6 + s**4/3 - 8*s**3/3 - s**2/3 + 5*s/2 = 0.
-5, -1, 0, 1, 3
Solve 3*d**2 + 87*d - 396 = 0.
-33, 4
Find s such that -s**4/12 - 317*s**3/3 - 66781*s**2/2 + 201295*s/3 - 403225/12 = 0.
-635, 1
Determine g, given that -3*g**5/2 - 27*g**4/2 - 27*g**3 + 6*g**2 + 36*g = 0.
-6, -2, 0, 1
What is y in -400*y**5 - 1520*y**4 + 316*y**3 - 16*y**2 = 0?
-4, 0, 1/10
Suppose -z**4/2 - 93*z**3 - 92*z**2 + 93*z + 185/2 = 0. Calculate z.
-185, -1, 1
Factor 5*x**2 - 455*x + 8640.
5*(x - 64)*(x - 27)
Let 11*v**4 - 123*v**3 - 418*v**2 - 228*v + 56 = 0. What is v?
-2, -1, 2/11, 14
Solve 4*p**2 + 60*p - 64 = 0 for p.
-16, 1
Factor -x**4/6 + 5*x**3/6 + 11*x**2/3 + 8*x/3.
-x*(x - 8)*(x + 1)*(x + 2)/6
Factor -3*u**2 - 144*u - 861.
-3*(u + 7)*(u + 41)
Solve 4*d**2 - 291*d - 370 = 0 for d.
-5/4, 74
Let -20*m**2 + 116*m + 24 = 0. What is m?
-1/5, 6
Solve -6*v**2 + 1298*v + 868 = 0 for v.
-2/3, 217
Factor -2*i**4/7 + 1580*i**3/7 + 9528*i**2/7 + 19088*i/7 + 12736/7.
-2*(i - 796)*(i + 2)**3/7
Factor -762*a**3/11 + 4848*a**2 - 932610*a/11 - 14700/11.
-6*(a - 35)**2*(127*a + 2)/11
Find v such that -2*v**3 - 288*v**2/7 + 18*v = 0.
-21, 0, 3/7
Let -2*p**2/3 + 236*p/3 + 160 = 0. Calculate p.
-2, 120
Let -3*b**4/4 + 51*b**3/2 - 1047*b**2/4 + 765*b - 675 = 0. What is b?
2, 15
Factor q**2/3 + 93*q + 278/3.
(q + 1)*(q + 278)/3
Solve -l**3/5 - 56*l**2/5 + 23*l - 58/5 = 0 for l.
-58, 1
Factor 2*z**2/3 + 4288*z + 6895104.
2*(z + 3216)**2/3
Solve 6*h**4 - 56*h**3 + 14*h**2 + 36*h = 0 for h.
-2/3, 0, 1, 9
Let 3*u**4/5 - 21*u**3/5 + 36*u**2/5 + 12*u/5 - 48/5 = 0. Calculate u.
-1, 2, 4
What is u in u**4/5 + 13*u**3/5 + 32*u**2/5 + 4*u = 0?
-10, -2, -1, 0
Factor 2*j**2/3 + 18*j + 48.
2*(j + 3)*(j + 24)/3
Solve 3*r**2 + 30*r - 33 = 0 for r.
-11, 1
Let 5*y**5 + 55*y**4 + 90*y**3 - 10*y**2 - 95*y - 45 = 0. What is y?
-9, -1, 1
Factor u**4 - 4*u**3 + 3*u**2 + 4*u - 4.
(u - 2)**2*(u - 1)*(u + 1)
Find d such that 36*d**3/5 - 304*d**2 - 1212*d/5 + 344/5 = 0.
-1, 2/9, 43
Let -72*l**2 - 148*l - 8 = 0. What is l?
-2, -1/18
Factor 5*g**3 + 35*g**2 - 425*g - 455.
5*(g - 7)*(g + 1)*(g + 13)
Determine f, given that 5*f**3 - 1925*f**2 + 11415*f - 17055 = 0.
3, 379
Find v, given that -5*v**5 + 150*v**4 - 550*v**3 + 800*v**2 - 525*v + 130 = 0.
1, 26
Factor -4*i**5 - 4*i**4 + 8*i**3 + 8*i**2 - 4*i - 4.
-4*(i - 1)**2*(i + 1)**3
Find l such that 9*l**4/4 + 15*l**3/2 - 135*l**2 - 375*l/2 - 189/4 = 0.
-9, -1, -1/3, 7
Solve 10*o**2 + 58*o + 48 = 0 for o.
-24/5, -1
What is n in n**3 + 566*n**2 + 563*n - 1130 = 0?
-565, -2, 1
Suppose 7*h**5/6 + 19*h**4/6 + 5*h**3/2 + h**2/6 - h/3 = 0. Calculate h.
-1, 0, 2/7
Determine n, given that 3*n**3 + 843*n**2 - 4290*n = 0.
-286, 0, 5
Determine u, given that 2*u**2/11 + 26*u/11 - 136/11 = 0.
-17, 4
Factor 2*c**5 + 14*c**4 + 12*c**3 - 64*c**2 - 64*c.
2*c*(c - 2)*(c + 1)*(c + 4)**2
Factor -3*v**2/2 + 48*v - 384.
-3*(v - 16)**2/2
Solve -98*i**4/15 - 112*i**3/15 - 32*i**2/15 = 0 for i.
-4/7, 0
Factor 100*f**3 - 85220*f**2 - 68224*f - 13648.
4*(f - 853)*(5*f + 2)**2
Find s, given that 2*s**5/7 + 4*s**4 + 16*s**3/7 - 1024*s**2/7 - 3072*s/7 = 0.
-8, -4, 0, 6
Factor -72*n**4 + 48*n**3 + 22*n**2 + 2*n.
-2*n*(n - 1)*(6*n + 1)**2
Determine s, given that -5*s**3/2 + 915*s**2/2 - 25200*s + 368000 = 0.
23, 80
Let -6*m**3/7 - 23*m**2/7 + 4*m/7 = 0. What is m?
-4, 0, 1/6
Determine b so that -b**3/6 - 4*b**2/3 - 7*b/2 - 3 = 0.
-3, -2
What is c in -2*c**5/13 - 170*c**4/13 - 5030*c**3/13 - 57510*c**2/13 - 174960*c/13 - 157464/13 = 0?
-27, -2
Factor -3*x**2/2 + 2610*x - 1135350.
-3*(x - 870)**2/2
Factor 4*r**3/9 - 520*r**2/9 + 5456*r/3 + 3872.
4*(r - 66)**2*(r + 2)/9
Find i, given that 2*i**4/7 + 12*i**3/7 - 6*i**2 - 68*i/7 + 96/7 = 0.
-8, -2, 1, 3
Solve 4*q**2 + 308*q + 4248 = 0.
-59, -18
Factor -4*a**3 - 796*a**2 + 3248*a.
-4*a*(a - 4)*(a + 203)
Solve -140*g**5/3 + 356*g**4/3 + 80*g**3 - 48*g**2 = 0.
-6/7, 0, 2/5, 3
Factor -q**3 - 326*q**2 - 3185*q - 7900.
-(q + 5)**2*(q + 316)
Solve 3*u**4/4 - 2865*u**3/4 + 910107*u**2/4 - 95553579*u/4 - 97385277/2 = 0 for u.
-2, 319
Find m, given that 2*m**2/5 - 12*m/5 + 16/5 = 0.
2, 4
Let -32*t**5 - 208*t**4 + 510*t**3 + 1060*t**2 + 422*t + 48 = 0. Calculate t.
-8, -1, -1/4, 3
Factor -2*h**2/9 - 218*h/9 + 220/9.
-2*(h - 1)*(h + 110)/9
Solve 78*u**2/7 + 160*u/7 + 8/7 = 0 for u.
-2, -2/39
Find f such that -1186963852*f**3 - 10677336*f**2 - 32016*f - 32 = 0.
-2/667
Solve -2*a**5/7 - 18*a**4/7 - 58*a**3/7 - 78*a**2/7 - 36*a/7 = 0.
-3, -2, -1, 0
Let -4*p**2 - 88*p + 192 = 0. Calculate p.
-24, 2
Factor -j**3/4 - 281*j**2/4 - 19599*j/4 + 19881/4.
-(j - 1)*(j + 141)**2/4
Factor 3*u**5 - 81*u**4 + 585*u**3 - 507*u**2.
3*u**2*(u - 13)**2*(u - 1)
Factor -10*v**3 - 235*v**2 + 120*v.
-5*v*(v + 24)*(2*v - 1)
Solve 2*q**5/15 - 8*q**4/5 + 8*q**3/3 + 4*q**2/15 - 14*q/5 + 4/3 = 0 for q.
-1, 1, 10
Factor -x**2/4 + 935*x/4.
-x*(x - 935)/4
Factor c**2/3 + 562*c/3 - 376.
(c - 2)*(c + 564)/3
Factor -35*t**2 + 6115*t + 1750.
-5*(t - 175)*(7*t + 2)
Factor -3*w**2/4 + 31383*w/2 - 328297563/4.
-3*(w - 10461)**2/4
Factor 3*z**3/8 + 123*z**2/4 + 3777*z/8 + 1767/4.
3*(z + 1)*(z + 19)*(z + 62)/8
Find f, given that 5*f**4 + 770*f**3 + 31145*f**2 + 115500*f + 112500 = 0.
-75, -2
Factor 5*u**3 + 10*u**2 - 20*u - 40.
5*(u - 2)*(u + 2)**2
Factor 3*d**5 + 6*d**4 - 9*d**3 - 24*d**2 - 12*d.
3*d*(d - 2)*(d + 1)**2*(d + 2)
Solve -3*x**2/2 - 144*x - 3456 = 0 for x.
-48
Factor -4*p**3/7 + 624*p**2/7 + 180*p + 632/7.
-4*(p - 158)*(p + 1)**2/7
Factor 4*u**4 + 4*u**3 - 4*u**2 - 4*u.
4*u*(u - 1)*(u + 1)**2
What is w in 4*w**5/3 + 17*w**4/3 - 200*w**3/3 + 103*w**2 + 30*w = 0?
-10, -1/4, 0, 3
Determine h so that 5*h**2 + 540*h + 14580 = 0.
-54
Factor 5*y**3 + 11035*y**2 + 22055*y + 11025.
5*(y + 1)**2*(y + 2205)
Let 4*d**5 - 8*d**4 - 12*d**3 + 32*d**2 - 16*d = 0. Calculate d.
-2, 0, 1, 2
Factor 4*a**4 - 184*a**3 + 2596*a**2 - 11040*a + 14400.
4*(a - 20)**2*(a - 3)**2
Factor -117*o**3/4 - 111*o**2/4 + 3*o/2.
-3*o*(o + 1)*(39*o - 2)/4
Let -4*s**2 - 8112*s + 16240 = 0. Calculate s.
-2030, 2
Factor b**5 + 78*b**4 + 441*b**3 + 648*b**2.
b**2*(b + 3)**2*(b + 72)
Determine d, given that 5*d**3 - 30*d**2 - 35*d = 0.
-1, 0, 7
Factor 5*x**5 + 30*x**4 - 45*x**3 - 70*x**2.
5*x**2*(x - 2)*(x + 1)*(x + 7)
Factor a**4/5 + 53*a**3/5 - 33*a**2 + 167*a/5 - 56/5.
(a - 1)**3*(a + 56)/5
Suppose -4*g**3 + 4*g**2 + 8*g = 0. What is g?
-1, 0, 2
Solve -5*d**3 - 20*d**2 - 25*d - 10 = 0 for d.
-2, -1
Suppose -w**5/5 - 39*w**4/5 - 314*w**3/5 + 1362*w**2/5 + 63*w - 1323/5 = 0. Calculate w.
-21, -1, 1, 3
What is g in 5*g**2 + 280*g - 285 = 0?
-57, 1
Determine q, given that 2*q**4 - 6*q**3 - 18*q**2 - 10*q = 0.
-1, 0, 5
Find x such that 5*x**2 + 185*x + 510 = 0.
-34, -3
Let -4*x**2/7 - 1948*x/7 = 0. Calculate x.
-487, 0
Factor -2*r**2/5.
-2*r**2/5
Factor -2*l**2/7 - 36*l/7.
-2*l*(l + 18)/7
Factor -3*u**3 - 36*u**2 - 117*u - 84.
-3*(u + 1)*(u + 4)*(u + 7)
Let 6*r**2 + 1954*r - 652 = 0. What is r?
-326, 1/3
Find n, given that -n**2/5 - 8*n/5 - 12/5 = 0.
-6, -2
Find l such that -4*l**4/9 - 1984*l**3/9 - 82004*l**2/3 + 1984*l/9 + 246016/9 = 0.
-248, -1, 1
Factor a**2/4 - 31*a - 125/4.
(a - 125)*(a + 1)/4
Suppose 4*n**3 - 352*n**2 + 348*n = 0. What is n?
0, 1, 87
Find w, given that w**5 + 157*w**4 + 5923*w**3 - 18721*w**2 + 19040*w - 6400 = 0.
-80, 1
Factor -3*j**5 - 21*j**4 - 30*j**3.
-3*j**3*(j + 2)*(j + 5)
Solve 3*j**4/8 + 3*j**3/2 - 3*j**2/2 - 6*j = 0.
-4, -2, 0, 2
Suppose 390*g**2/7 - 14442*g/7 + 444/7 = 0. What is g?
2/65, 37
Suppose 4*y**2 + 600*y + 22500 = 0. Calculate y.
-75
Factor -a**4/4 + 7*a**3/2 - 15*a**2 + 25*a/2 + 125/4.
-(a - 5)**3*(a + 1)/4
Solve 5*j**5 + 95*j**4 + 160*j**3 - 1220*j**2 + 960*j = 0 for j.
-16, -6, 0, 1, 2
Suppose -w**3/9 + 157*w**2/9 = 0. Calculate w.
0, 157
Factor g**3/3 + 5*g**2 + 4*g - 28/3.
(g - 1)*(g + 2)*(g + 14)/3
Factor 2*z**2 - 456*z + 2230.
2*(z - 223)*(z - 5)
What is t in -t**4/2 - 44*t**3 + 7*t**2/2 + 305*t - 264 = 0?
-88, -3, 1, 2
Determine c, given that -c**4/4 - 3*c**3/4 + 5*c**2/2 = 0.
-5, 0, 2
Factor -2*p**2/19 + 404*p/19 - 402/19.
-2*(p - 201)*(p - 1)/19
Factor 10*r**4 