0 for m.
-8, -2, -1, 0
Factor -4*n**2/7 - 1768*n/7 - 195364/7.
-4*(n + 221)**2/7
Determine m, given that 5*m**2 - 5190*m + 1346805 = 0.
519
Let 2*l**3/7 - 12*l**2/7 - 2*l = 0. What is l?
-1, 0, 7
Suppose 2*x**4/7 + 64*x**3/7 + 60*x**2/7 - 64*x/7 - 62/7 = 0. What is x?
-31, -1, 1
Suppose -k**4 + 7*k**3 + 43*k**2 - 259*k - 294 = 0. What is k?
-6, -1, 7
Factor 3*h**4 - 99*h**3 + 648*h**2 + 2916*h.
3*h*(h - 18)**2*(h + 3)
Let 3*z**4/7 + 372*z**3/7 - 9*z**2/7 - 1122*z/7 - 744/7 = 0. What is z?
-124, -1, 2
What is b in b**5/4 + 9*b**4/4 - 27*b**3/4 - 329*b**2/4 - 147*b/2 = 0?
-7, -1, 0, 6
Factor -n**4/7 + 17*n**3/7 + 103*n**2/7 + 151*n/7 + 66/7.
-(n - 22)*(n + 1)**2*(n + 3)/7
Find f such that -4*f**3 + 172*f**2 - 1760*f - 1936 = 0.
-1, 22
Factor 3*w**5/5 - 672*w**4/5 - 2034*w**3/5 - 408*w**2 - 681*w/5.
3*w*(w - 227)*(w + 1)**3/5
Factor 2*n**3/3 - 1176*n**2 + 691488*n - 135531648.
2*(n - 588)**3/3
Factor -33*p**3 - 252*p**2 - 135*p + 84.
-3*(p + 1)*(p + 7)*(11*p - 4)
Suppose -2*g**5/13 - 912*g**4/13 - 5426*g**3/13 - 11724*g**2/13 - 10808*g/13 - 3600/13 = 0. What is g?
-450, -2, -1
Factor 9*g**3 - 2631*g**2 + 3495*g - 873.
3*(g - 291)*(g - 1)*(3*g - 1)
Let 3*t**3/7 - 186*t**2/7 + 177*t/7 + 366/7 = 0. What is t?
-1, 2, 61
Find o, given that 25*o**5/4 - 35*o**4 + 35*o**3 + 115*o**2/2 - 165*o/4 - 45/2 = 0.
-1, -2/5, 1, 3
Factor -4*r**2 - 40*r + 96.
-4*(r - 2)*(r + 12)
Suppose -3*d**2/10 + 2399*d/10 - 799/5 = 0. What is d?
2/3, 799
Factor -3*z**3 - 39*z**2 - 105*z + 147.
-3*(z - 1)*(z + 7)**2
Factor -2*m**3/5 - 2*m**2/5 + 4*m/5.
-2*m*(m - 1)*(m + 2)/5
Determine y, given that -y**4/3 - 8*y**3/3 - 4*y**2 = 0.
-6, -2, 0
Factor -4*t**4 - 532*t**3 - 5952*t**2 - 17424*t.
-4*t*(t + 6)**2*(t + 121)
What is u in -4*u**3/3 + 1316*u**2/3 - 5216*u/3 + 5200/3 = 0?
2, 325
Factor -507*f**3 - 975*f**2 + 1491*f - 441.
-3*(f + 3)*(13*f - 7)**2
Find y such that y**2 - y = 0.
0, 1
Factor -5*t**3 + 350*t**2 - 685*t + 340.
-5*(t - 68)*(t - 1)**2
Factor -c**3/2 + c**2/2 + 5*c/2 + 3/2.
-(c - 3)*(c + 1)**2/2
Determine l so that l**4 - 47*l**3/3 + 236*l**2/3 - 116*l - 48 = 0.
-1/3, 4, 6
Solve 7*a**4/4 + 52*a**3 + 489*a**2 + 1368*a - 432 = 0 for a.
-12, -6, 2/7
Determine v so that 2*v**4 + 20*v**3 + 18*v**2 = 0.
-9, -1, 0
Factor -2*m**2 - 2*m + 4.
-2*(m - 1)*(m + 2)
Factor -l**5 - 12*l**4 + 13*l**3.
-l**3*(l - 1)*(l + 13)
Factor -2*x**3/5 + 22*x**2/5 - 76*x/5 + 16.
-2*(x - 5)*(x - 4)*(x - 2)/5
Suppose -2*h**2/13 + 8/13 = 0. What is h?
-2, 2
Factor -5*t**2/3 - 5*t/3 + 10/3.
-5*(t - 1)*(t + 2)/3
Factor -4*p**2 - 208*p.
-4*p*(p + 52)
Factor -4*g**3 - 40*g**2 + 352*g - 512.
-4*(g - 4)*(g - 2)*(g + 16)
What is u in -4*u**4 + 60*u**2 - 40*u - 96 = 0?
-4, -1, 2, 3
Factor -3*i**4 + 12*i**3 - 15*i**2 + 6*i.
-3*i*(i - 2)*(i - 1)**2
Factor u**3/6 - 31*u**2/6 + 59*u/6 - 29/6.
(u - 29)*(u - 1)**2/6
Factor 4761*h**3 - 966*h**2/5 - 372*h/5 + 24/5.
3*(15*h + 2)*(23*h - 2)**2/5
Find w such that -4*w**2/9 + 4*w + 88/9 = 0.
-2, 11
Find o such that 18*o**5 + 33*o**4 - 78*o**3 - 24*o**2 + 60*o - 9 = 0.
-3, -1, 1/6, 1
Let -3*k**3 + 756*k**2 + 6192*k + 12480 = 0. What is k?
-4, 260
Solve 5*h**4 + 35*h**3 + 30*h**2 = 0.
-6, -1, 0
Factor 2*x**4/3 - 50*x**3/3 - 292*x**2/3 - 80*x.
2*x*(x - 30)*(x + 1)*(x + 4)/3
Factor 3*x**2 + 12*x - 63.
3*(x - 3)*(x + 7)
Factor -3*p**5/5 - 6*p**4/5 + 9*p**3/5 + 12*p**2/5 - 12*p/5.
-3*p*(p - 1)**2*(p + 2)**2/5
Solve -2*p**2/9 + 10*p/9 - 4/3 = 0 for p.
2, 3
Determine v, given that -v**2/6 + 179*v/6 + 416 = 0.
-13, 192
Factor 2*r**2 - 2148*r + 576738.
2*(r - 537)**2
Solve -b**4/3 - 12*b**3 - 108*b**2 = 0.
-18, 0
Factor -2*j**2/7 - 74*j/7 + 76/7.
-2*(j - 1)*(j + 38)/7
Solve 3*n**5/10 - 17*n**4/5 + 46*n**3/5 - 51*n**2/5 + 49*n/10 - 4/5 = 0 for n.
1/3, 1, 8
Let 3*w**5/5 + 148*w**4/5 - 254*w**3/5 + 52*w**2/5 + 51*w/5 = 0. Calculate w.
-51, -1/3, 0, 1
Factor 131*y**2 - 137*y + 6.
(y - 1)*(131*y - 6)
Determine b, given that 3*b**2/7 + 306*b/7 - 624/7 = 0.
-104, 2
Suppose g**5/3 + 16*g**4/3 + 26*g**3 + 148*g**2/3 + 121*g/3 + 12 = 0. Calculate g.
-9, -4, -1
Factor 4*j**4 + 68*j**3 + 432*j**2 + 1216*j + 1280.
4*(j + 4)**3*(j + 5)
Solve -9*j**3/8 - 111*j**2/4 + 87*j/8 + 75/2 = 0 for j.
-25, -1, 4/3
Factor -7*o**4/4 + 19*o**3/4 + 3*o**2/2.
-o**2*(o - 3)*(7*o + 2)/4
Factor 147*o**3/5 + 6363*o**2 - 18216*o/5 + 2604/5.
3*(o + 217)*(7*o - 2)**2/5
Factor 2*w**3/3 - 8*w**2 - 2*w/3 + 8.
2*(w - 12)*(w - 1)*(w + 1)/3
Factor -3*s**2 - 213*s - 414.
-3*(s + 2)*(s + 69)
Suppose -2*v**4/3 + 2*v**2/3 = 0. Calculate v.
-1, 0, 1
Find u, given that 4*u**5 - 4*u**4 - 24*u**3 + 56*u**2 - 44*u + 12 = 0.
-3, 1
Factor -c**2 + 937*c - 936.
-(c - 936)*(c - 1)
Solve -2*r**2 + 5504*r/11 - 1000/11 = 0.
2/11, 250
Factor 2*q**4 - 4*q**3 - 8*q**2 + 16*q.
2*q*(q - 2)**2*(q + 2)
Suppose -4*z**3 - 8*z**2 + 12*z = 0. Calculate z.
-3, 0, 1
Factor -9*n**3 - 78*n**2 + 1329*n + 918.
-3*(n - 9)*(n + 17)*(3*n + 2)
Solve -57*p**2/7 + 720*p/7 - 432/7 = 0.
12/19, 12
Factor -q**2/3 + 1360*q/3 - 462400/3.
-(q - 680)**2/3
Factor 4*r**3/7 - 4*r/7.
4*r*(r - 1)*(r + 1)/7
Determine r so that 2*r**3/11 + 28*r**2/11 - 294*r/11 = 0.
-21, 0, 7
Solve 2*h**5 + 32*h**4/7 + 22*h**3/7 + 4*h**2/7 = 0 for h.
-1, -2/7, 0
Factor -3*j**2 + 330*j - 9075.
-3*(j - 55)**2
Factor -3*f**3/4 - 21*f**2/4 - 9*f.
-3*f*(f + 3)*(f + 4)/4
Solve 5*n**2 - 3385*n + 3380 = 0 for n.
1, 676
Factor -2*j**2/7 + 186*j/7 + 1616/7.
-2*(j - 101)*(j + 8)/7
Factor 2*t**4 - 44*t**3 + 120*t**2 - 116*t + 38.
2*(t - 19)*(t - 1)**3
What is h in h**2 - 9260*h + 21436900 = 0?
4630
Solve 4*f**4 + 20*f**3 - 12*f**2 - 52*f + 40 = 0.
-5, -2, 1
Solve -4*r**4 + 4*r**3 + 28*r**2 - 4*r - 24 = 0 for r.
-2, -1, 1, 3
Solve -10*b**3 - 248*b**2 + 310*b - 52 = 0.
-26, 1/5, 1
Solve -n**4/4 + 21*n**3/2 - 20*n**2 = 0.
0, 2, 40
Factor -3*v**2 + 1644*v - 3276.
-3*(v - 546)*(v - 2)
Suppose 11*a**5/2 + 4*a**4 - 3*a**3/2 = 0. Calculate a.
-1, 0, 3/11
Find s such that -2*s**2/5 + 88*s/5 - 518/5 = 0.
7, 37
Let -2*o**2 - 244*o - 7442 = 0. Calculate o.
-61
Find y such that -2*y**3/5 - 656*y**2/5 + 1982*y/5 - 1324/5 = 0.
-331, 1, 2
Solve -4*f**5 + 44*f**4 - 152*f**3 + 136*f**2 + 156*f - 180 = 0.
-1, 1, 3, 5
Factor 5*n**4 + 5*n**3 - 20*n**2 - 20*n.
5*n*(n - 2)*(n + 1)*(n + 2)
Factor -2*x**3/9 + 70*x**2/9.
-2*x**2*(x - 35)/9
Factor -2*t**2/15 - 132*t/5 - 6534/5.
-2*(t + 99)**2/15
Factor o**3 - 3*o**2 - o + 3.
(o - 3)*(o - 1)*(o + 1)
Find p, given that 2*p**4/7 + 18*p**3/7 + 54*p**2/7 + 54*p/7 = 0.
-3, 0
Factor 5*h**3 - 3835*h**2 + 733440*h + 737280.
5*(h - 384)**2*(h + 1)
Factor -39*o**3 - 168*o**2 - 219*o - 90.
-3*(o + 1)**2*(13*o + 30)
Find w such that -4*w**3 + 96*w**2 - 180*w + 88 = 0.
1, 22
Determine d so that d**2 - 4892*d + 5982916 = 0.
2446
Factor s**3/6 + 46*s**2/3 + 269*s/6 + 89/3.
(s + 1)*(s + 2)*(s + 89)/6
Find z, given that -4*z**5/3 - 12*z**4 + 56*z**3/3 + 200*z**2 - 1204*z/3 + 196 = 0.
-7, 1, 3
Factor 2*t**2/17 - 2*t/17.
2*t*(t - 1)/17
Factor 5*h**4 + 110*h**3 + 295*h**2 + 190*h.
5*h*(h + 1)*(h + 2)*(h + 19)
Factor p**2 + 774*p + 149769.
(p + 387)**2
Factor 268*b**2/7 - 2*b/7.
2*b*(134*b - 1)/7
What is k in 5*k**4 - 50*k**2 + 45 = 0?
-3, -1, 1, 3
Find c such that -c**3/5 - 7*c**2/5 - 4*c/5 + 12/5 = 0.
-6, -2, 1
Solve 8*s**4/7 + 22*s**3/7 + 18*s**2/7 + 2*s/7 - 2/7 = 0.
-1, 1/4
Find k, given that -724808*k**3 + 2408*k**2 - 2*k = 0.
0, 1/602
Solve 8*s**2/3 - 2534*s/3 - 634/3 = 0.
-1/4, 317
Factor b**3/5 - b**2 - 32*b/5 - 36/5.
(b - 9)*(b + 2)**2/5
Determine b so that 3*b**3 + 81*b**2 + 72*b - 156 = 0.
-26, -2, 1
Find i, given that 2*i**3/9 + 320*i**2/9 - 646*i/9 + 36 = 0.
-162, 1
Factor -2*s**3 - 14*s**2 - 24*s.
-2*s*(s + 3)*(s + 4)
Factor -2*s**3/13 - 24*s**2/13.
-2*s**2*(s + 12)/13
Find c such that -5*c**3/3 - 45*c**2 + 50*c + 280/3 = 0.
-28, -1, 2
Factor -3*z**3/2 - 31*z**2 + 124*z + 96.
-(z - 4)*(z + 24)*(3*z + 2)/2
Suppose -4*n**4/7 - 36*n**3/7 - 108*n**2/7 - 108*n/7 = 0. Calculate n.
-3, 0
Factor 3*i**4 - 219*i**3 + 837*i**2 - 621*i.
3*i*(i - 69)*(i - 3)*(i - 1)
Solve 6*d**5/5 + 32*d**4/15 - 8*d**3/15 - 12*d**2/5 - 2*d/3 + 4/15 = 0.
-1, 2/9, 1
Find f, given that 2*f**2 + 2268*f + 4528 = 0.
-1132, -2
Factor y**4 + 129*y**3 + 5880*y**2 + 107200*y + 576000.
(y + 9)*(y + 40)**3
Factor -4*f**3 - 32*f**2 - 80*f - 64.
-4*(f + 2)**2*(f + 4)
Factor -y**4/3 + 2*y**3/3 + 4*y**2/3 - 8*y/3.
-y*(y - 2)**