)/2
Factor -2*r**2 - 590*r + 592.
-2*(r - 1)*(r + 296)
Solve 228*n**5 + 1248*n**4 + 369*n**3 - 993*n**2 - 717*n - 135 = 0.
-5, -1/2, -9/19, 1
Solve 11*m**4 + 79*m**3 + 102*m**2 - 160*m - 32 = 0.
-4, -2/11, 1
What is y in -3*y**3/7 - 177*y**2/7 - 828*y/7 - 972/7 = 0?
-54, -3, -2
Solve -2*j**2/9 + 8*j/3 - 64/9 = 0.
4, 8
Suppose 6*b**5 - 28*b**4 - 42*b**3 + 152*b**2 + 288*b + 128 = 0. Calculate b.
-4/3, -1, 4
Factor j**4/7 - 90*j**3/7 + 2113*j**2/7 - 3960*j/7 + 1936/7.
(j - 44)**2*(j - 1)**2/7
Factor t**4 - 6*t**3 + 12*t**2 - 8*t.
t*(t - 2)**3
Let w**4/4 + 5*w**3/2 + 9*w**2 + 14*w + 8 = 0. What is w?
-4, -2
Factor -2*z**2/3 - 7504*z/3 - 7038752/3.
-2*(z + 1876)**2/3
Determine z, given that 2*z**2 + 648*z + 52488 = 0.
-162
Factor -25*v**2 - 22060*v - 8820.
-5*(v + 882)*(5*v + 2)
Suppose -27*r**3/8 + 3459*r**2/4 - 192*r = 0. What is r?
0, 2/9, 256
Factor -2*x**2/7 - 44*x/7 - 6.
-2*(x + 1)*(x + 21)/7
Suppose -12*r**2 + 135*r + 108 = 0. Calculate r.
-3/4, 12
Factor -2*c**4 + 14*c**3 + 2*c**2 - 14*c.
-2*c*(c - 7)*(c - 1)*(c + 1)
Factor -t**4/5 + 377*t**3/5 - 225*t**2 + 1123*t/5 - 374/5.
-(t - 374)*(t - 1)**3/5
Factor -4*w**3 - 68*w**2 - 124*w - 60.
-4*(w + 1)**2*(w + 15)
Determine j so that -j**2 - 40*j + 129 = 0.
-43, 3
Determine u so that -6*u**4 - 28*u**3 - 34*u**2 - 12*u = 0.
-3, -1, -2/3, 0
Solve -57*r**2 - 108*r + 12 = 0 for r.
-2, 2/19
Factor -361*u**4 + 1710*u**3 - 657*u**2 - 3240*u - 1296.
-(u - 3)**2*(19*u + 12)**2
Determine q, given that -q**2/10 - q/10 + 1/5 = 0.
-2, 1
Let -s**2 + 196*s - 955 = 0. What is s?
5, 191
Determine h, given that -2*h**3/7 - 36*h**2/7 + 270*h/7 + 5400/7 = 0.
-15, 12
Factor 3*o**2 - 3*o - 90.
3*(o - 6)*(o + 5)
What is x in -3*x**2/8 + 681*x/2 - 154587/2 = 0?
454
Let -l**2/5 + 2*l/5 = 0. What is l?
0, 2
Factor -l**4 - 39*l**3 - 399*l**2 - 361*l.
-l*(l + 1)*(l + 19)**2
Find k, given that k**5/9 - 20*k**4/9 + 17*k**3/9 + 38*k**2/9 = 0.
-1, 0, 2, 19
Factor -3*u**2 - 3*u.
-3*u*(u + 1)
Factor m**2/8 + 1141*m/4 + 1301881/8.
(m + 1141)**2/8
Factor -2*y**2 + 174*y - 340.
-2*(y - 85)*(y - 2)
Solve 55*u**2/2 + 109*u/4 - 1/4 = 0 for u.
-1, 1/110
Let 605*x**5 - 2200*x**4 - 7515*x**3 - 6130*x**2 - 1540*x - 120 = 0. What is x?
-1, -2/11, 6
Suppose -3*h**3/7 + 3*h**2/7 + 48*h/7 - 48/7 = 0. Calculate h.
-4, 1, 4
Solve -8*z**3 + 94*z**2 - 256*z - 70 = 0 for z.
-1/4, 5, 7
Suppose -n**2/4 - 29*n - 841 = 0. What is n?
-58
Determine t, given that 2*t**2/3 + 34*t/3 - 40 = 0.
-20, 3
Let -2*a**5/5 + 8*a**4/5 + 18*a**3/5 - 64*a**2/5 - 56*a/5 + 96/5 = 0. What is a?
-2, 1, 3, 4
Solve 14*h**4/11 - 354*h**3/11 + 758*h**2/11 - 510*h/11 + 92/11 = 0.
2/7, 1, 23
Factor 4*t**3/7 + 480*t**2/7 + 19200*t/7 + 256000/7.
4*(t + 40)**3/7
Suppose -2*i**5 + 108*i**4 - 600*i**3 + 1168*i**2 - 768*i = 0. Calculate i.
0, 2, 48
Factor -2*h**5/7 + 36*h**4 - 10320*h**3/7 + 125732*h**2/7 + 477042*h/7.
-2*h*(h - 43)**3*(h + 3)/7
Factor 2*n**4/11 + 36*n**3/11 + 160*n**2/11.
2*n**2*(n + 8)*(n + 10)/11
Let -2*v**5 - 324*v**4 - 1588*v**3 - 2840*v**2 - 2202*v - 628 = 0. Calculate v.
-157, -2, -1
Factor -4*b**3 + 28*b**2 - 32*b - 64.
-4*(b - 4)**2*(b + 1)
Find u such that -6*u**5 + 297*u**4/7 - 33*u**3 - 279*u**2/7 + 39*u - 18/7 = 0.
-1, 1/14, 1, 6
Factor -18*i**4/13 - 112*i**3/13 - 186*i**2/13 - 36*i/13.
-2*i*(i + 3)**2*(9*i + 2)/13
Factor -5*r**3 + 90*r**2 - 85*r.
-5*r*(r - 17)*(r - 1)
Factor 3*m**5 + 18*m**4 + 36*m**3 + 30*m**2 + 9*m.
3*m*(m + 1)**3*(m + 3)
Solve -75*b**4 + 915*b**3 - 117*b**2 - 783*b + 324 = 0.
-1, 3/5, 12
Factor -3*j**4 - 42*j**3 - 84*j**2 + 360*j.
-3*j*(j - 2)*(j + 6)*(j + 10)
Solve -50*a**3 - 95*a**2 - 40*a + 5 = 0 for a.
-1, 1/10
Factor 2*x**5/7 - 8*x**4/7 - 32*x**3/7 + 128*x**2/7.
2*x**2*(x - 4)**2*(x + 4)/7
Solve 2*r**2/3 + 944*r - 5672/3 = 0 for r.
-1418, 2
Determine v, given that -2*v**2 - 180*v - 4050 = 0.
-45
Find y, given that 4*y**3 + 340*y**2 + 7052*y - 7396 = 0.
-43, 1
Solve -14*x**4/3 + 74*x**3/3 - 44*x**2 + 88*x/3 - 16/3 = 0.
2/7, 1, 2
Solve z**5/6 - z**4/2 + z**3/6 + z**2/2 - z/3 = 0.
-1, 0, 1, 2
Solve 4*a**3 - 136*a**2 + 1408*a - 4608 = 0 for a.
8, 18
Factor 2*m**4/7 + 6*m**3.
2*m**3*(m + 21)/7
Suppose 3*h**3 - 207*h**2 + 405*h - 201 = 0. What is h?
1, 67
Determine w so that 26*w**3/17 + 98*w**2/17 + 60*w/17 = 0.
-3, -10/13, 0
Factor 3*p**2 - 78*p + 75.
3*(p - 25)*(p - 1)
Solve 3*o**3 + 93*o**2 - 300*o + 204 = 0 for o.
-34, 1, 2
Determine i, given that -i**2/7 - 993*i/7 + 1990/7 = 0.
-995, 2
Solve -2*h**2/7 + 524*h/7 - 34322/7 = 0.
131
Find i, given that -4*i**5/3 - 12*i**4 + 224*i**3/3 + 768*i**2 + 2048*i/3 = 0.
-8, -1, 0, 8
Factor 3*c**2 - 13*c - 10.
(c - 5)*(3*c + 2)
Factor 12*q**3 + 147*q**2 - 300*q - 84.
3*(q - 2)*(q + 14)*(4*q + 1)
Factor -2*r**4/11 - 28*r**3/11 - 50*r**2/11 - 24*r/11.
-2*r*(r + 1)**2*(r + 12)/11
Let -3*n**2/8 - 447*n/8 - 111/2 = 0. What is n?
-148, -1
Suppose 5*n**4/6 + 5*n**3 - 185*n**2/6 + 25*n = 0. Calculate n.
-10, 0, 1, 3
Factor 2*c**2/13 + 86*c/13 + 240/13.
2*(c + 3)*(c + 40)/13
Factor f**4/6 + 14*f**3/3 - 91*f**2/6 + 31*f/3.
f*(f - 2)*(f - 1)*(f + 31)/6
Factor 21*n**2 - 429*n - 942.
3*(n + 2)*(7*n - 157)
Factor 5*q**4 + 65*q**3 + 35*q**2 - 285*q + 180.
5*(q - 1)**2*(q + 3)*(q + 12)
Factor -5*h**2 + 1180*h - 69620.
-5*(h - 118)**2
Solve -y**5 - 3*y**4 + y**3 + 11*y**2 + 12*y + 4 = 0 for y.
-2, -1, 2
Factor 3*n**3/2 - 33*n**2/4 + 9*n + 27/4.
3*(n - 3)**2*(2*n + 1)/4
Determine u, given that 21*u**5 + 146*u**4 - 366*u**3 + 192*u**2 + 25*u - 18 = 0.
-9, -2/7, 1/3, 1
Factor -4*s**4 - 104*s**3 - 436*s**2 - 336*s.
-4*s*(s + 1)*(s + 4)*(s + 21)
Solve -i**2/2 - 37*i - 1369/2 = 0.
-37
Solve 2*c**4/7 - 12*c**3/7 + 6*c**2/7 + 20*c/7 = 0.
-1, 0, 2, 5
Find a such that -2*a**4/5 + 36*a**3/5 - 62*a**2/5 - 36*a/5 + 64/5 = 0.
-1, 1, 2, 16
Factor 12*v**2 + 183*v - 144.
3*(v + 16)*(4*v - 3)
Let 36*g**5 + 954*g**4 + 3512*g**3 + 3618*g**2 - 24*g - 536 = 0. Calculate g.
-67/3, -2, -1/2, 1/3
Find d such that -2*d**5/3 + 178*d**4/3 - 5396*d**3/3 + 59044*d**2/3 - 102602*d/3 + 48778/3 = 0.
1, 29
Let -k**5 + 5*k**4 + 5*k**3 - 25*k**2 - 40*k - 16 = 0. Calculate k.
-1, 4
Suppose 35*m**2 - 230*m - 2025 = 0. Calculate m.
-5, 81/7
What is a in 11*a**4/2 + 145*a**3/2 - 64*a**2 - 14*a = 0?
-14, -2/11, 0, 1
Factor -5*m**4 - 1160*m**3 - 67280*m**2.
-5*m**2*(m + 116)**2
Find t such that -3*t**5/5 + 36*t**4 - 228*t**3 + 270*t**2 + 891*t - 8586/5 = 0.
-2, 3, 53
Find z, given that -5*z**4 - 300*z**3 - 5460*z**2 - 31360*z = 0.
-32, -14, 0
Suppose -4*s**4 - 110*s**3 - 254*s**2 - 100*s = 0. Calculate s.
-25, -2, -1/2, 0
Find t, given that -131*t**3/2 - 261*t**2/2 - 129*t/2 + 1/2 = 0.
-1, 1/131
Let -3*o**3 - 108*o**2 - 87*o + 630 = 0. Calculate o.
-35, -3, 2
What is t in -t**5/2 - 5*t**4/2 - 9*t**3/2 - 7*t**2/2 - t = 0?
-2, -1, 0
Solve 2*c**3/5 + 8*c**2/5 - 14*c/5 - 4 = 0 for c.
-5, -1, 2
Solve a**5/3 + 17*a**4/3 + 44*a**3/3 + 28*a**2/3 = 0.
-14, -2, -1, 0
Solve m**3/4 + 2629*m**2/4 + 1726595*m/4 - 1729225/4 = 0.
-1315, 1
Find b, given that -b**5 + 2*b**3 - b = 0.
-1, 0, 1
Factor -2*x**3/9 - 250*x**2/9 - 248*x/9.
-2*x*(x + 1)*(x + 124)/9
Let 114*j**3 + 1256*j**2/3 + 1000*j/3 - 96 = 0. Calculate j.
-2, -36/19, 2/9
Factor -4*j**3 - 36*j**2 - 92*j - 60.
-4*(j + 1)*(j + 3)*(j + 5)
Suppose -s**2 - 181*s + 182 = 0. What is s?
-182, 1
Suppose -2*t**5 + 28*t**4 + 30*t**3 - 1000*t**2 - 1000*t = 0. Calculate t.
-5, -1, 0, 10
Factor -4*i**5 + 12*i**4 - 8*i**3 - 8*i**2 + 12*i - 4.
-4*(i - 1)**4*(i + 1)
Let s**2/4 + 4*s - 17/4 = 0. Calculate s.
-17, 1
Let 10*d**5/11 + 4*d**4/11 - 490*d**3/11 - 1396*d**2/11 - 480*d/11 = 0. What is d?
-5, -3, -2/5, 0, 8
Factor 3*l**3/7 + 39*l**2/7 - 318*l/7 + 456/7.
3*(l - 4)*(l - 2)*(l + 19)/7
Factor -2*y**3/11 + 62*y**2/11 - 510*y/11 + 450/11.
-2*(y - 15)**2*(y - 1)/11
Solve 24*o**4 - 124*o**3 - 124*o**2 + 24*o = 0 for o.
-1, 0, 1/6, 6
Factor 4*w**3 + 191*w**2 - 48*w.
w*(w + 48)*(4*w - 1)
Determine l, given that -2*l**5 - 70*l**4 + 388*l**3 - 488*l**2 - 304*l + 640 = 0.
-40, -1, 2
Suppose 6*s**2/13 - 218*s/13 + 212/13 = 0. Calculate s.
1, 106/3
Factor -60*v**3 + 57*v**2 + 123*v + 6.
-3*(v - 2)*(v + 1)*(20*v + 1)
Factor 129*x**2/4 + 389*x/4 + 3/2.
(x + 3)*(129*x + 2)/4
Determine f so that 8*f**4/5 - 76*f**3/5 + 156*f**2/5 - 116*f/5 + 28/5 = 0.
1/2, 1, 7
Factor 4*a**2/3 + 80*a/3.
4*a*(a + 20)/3
Suppose -l**4/5 - 143*l**3/5 - 