)**3
Solve -2*u**2/3 + 26*u/9 - 20/9 = 0 for u.
1, 10/3
Factor -g**2 - 29*g - 28.
-(g + 1)*(g + 28)
Factor 2*z**5 + 6*z**4 - 10*z**3 - 6*z**2 + 8*z.
2*z*(z - 1)**2*(z + 1)*(z + 4)
Find w such that -4*w**4/3 + 64*w**3/3 - 140*w**2/3 - 208*w/3 = 0.
-1, 0, 4, 13
Solve 2*v**4/3 + 3*v**3 - 23*v**2/3 - 8*v + 12 = 0 for v.
-6, -3/2, 1, 2
Factor w**3 + 546*w**2 + 1089*w + 544.
(w + 1)**2*(w + 544)
Factor l**2 - l - 2.
(l - 2)*(l + 1)
Solve -j**2 - 1582*j - 3160 = 0.
-1580, -2
Determine n, given that -4*n**4 + 8*n**3 + 116*n**2 - 120*n = 0.
-5, 0, 1, 6
Factor j**2/2 - 3279*j + 10751841/2.
(j - 3279)**2/2
Solve 4*g**5 - 132*g**4 + 1272*g**3 - 3064*g**2 + 2820*g - 900 = 0.
1, 15
Let -2*r**2/11 + 4*r + 96/11 = 0. What is r?
-2, 24
Factor -5*z**3 + 1760*z**2 - 158340*z + 605520.
-5*(z - 174)**2*(z - 4)
Let 2*f**4/9 + 32*f**3/9 - 38*f**2/9 - 68*f/9 = 0. Calculate f.
-17, -1, 0, 2
Solve 2*d**5/17 - 82*d**4/17 + 880*d**3/17 - 800*d**2/17 = 0.
0, 1, 20
Solve 2*y**3 - 622*y**2 = 0 for y.
0, 311
Let 7*m**3 - 141*m**2/4 + 173*m/4 - 3/2 = 0. Calculate m.
1/28, 2, 3
Solve -v**2 + 25*v - 144 = 0.
9, 16
Suppose 2*o**2/15 - 172*o/15 - 128 = 0. What is o?
-10, 96
Solve 10*l**4/13 + 42*l**3 + 7044*l**2/13 - 896*l - 9408/13 = 0 for l.
-28, -3/5, 2
Factor 16*q**4 - 2248*q**3 + 79521*q**2 - 39340*q + 4900.
(q - 70)**2*(4*q - 1)**2
Factor -c**3/2 + 51*c**2/2 - 312*c - 338.
-(c - 26)**2*(c + 1)/2
Solve c**5 + 253*c**4 + 1002*c**3 + 1498*c**2 + 997*c + 249 = 0 for c.
-249, -1
Factor 5*g**2/3 + 95*g/6 + 20.
5*(g + 8)*(2*g + 3)/6
Factor 59*i**2/6 - i/3.
i*(59*i - 2)/6
Solve -p**5/6 - 6*p**4 - 160*p**3/3 + 24*p**2 + 216*p = 0.
-18, -2, 0, 2
Find s, given that -27*s**2 - 210*s + 48 = 0.
-8, 2/9
Suppose 18*k**5 + 39*k**4 - 12*k**2 = 0. What is k?
-2, -2/3, 0, 1/2
Suppose 2*m**5/23 + 4*m**4/23 - 30*m**3/23 - 72*m**2/23 = 0. What is m?
-3, 0, 4
Solve -v**3/4 + 43*v**2 - 503*v/4 - 169 = 0 for v.
-1, 4, 169
Factor 4*p**3 - 20*p**2 + 12*p + 36.
4*(p - 3)**2*(p + 1)
Solve -2*x**2/3 - 1952*x/3 - 476288/3 = 0 for x.
-488
Determine g, given that -84*g**5 + 424*g**4 - 208*g**3 - 544*g**2 - 128*g = 0.
-2/3, -2/7, 0, 2, 4
Determine k, given that -5*k**5 + 1455*k**4 + 10*k**3 - 2910*k**2 - 5*k + 1455 = 0.
-1, 1, 291
Let 2*q**2 + 184*q + 4232 = 0. What is q?
-46
Let 5*k**4 + 55*k**3 - 65*k**2 - 55*k + 60 = 0. Calculate k.
-12, -1, 1
Let r**4 + 7*r**3 - 8*r**2 = 0. Calculate r.
-8, 0, 1
Suppose j**3 + 668*j**2 - j - 668 = 0. Calculate j.
-668, -1, 1
Suppose 5*b**5 + 5*b**4 - 10*b**3 - 10*b**2 + 5*b + 5 = 0. Calculate b.
-1, 1
Determine f, given that 2*f**3/7 - 232*f**2/7 - 472*f/7 = 0.
-2, 0, 118
What is s in -5*s**2 + 785*s - 1550 = 0?
2, 155
Factor -5*x**2 + 269*x/2 + 27/2.
-(x - 27)*(10*x + 1)/2
Determine p so that 3*p**4 + 45*p**3 - 114*p**2 - 180*p + 408 = 0.
-17, -2, 2
Find t such that -5*t**4 + 80*t**3 - 390*t**2 + 560*t - 245 = 0.
1, 7
Let -2*i**2/7 + 50*i/7 + 52/7 = 0. What is i?
-1, 26
Let 4*d**4 - 60*d**3 - 216*d**2 - 16*d + 288 = 0. What is d?
-2, 1, 18
Factor 3*d**5/5 - 27*d**4/5 + 9*d**3 - 21*d**2/5.
3*d**2*(d - 7)*(d - 1)**2/5
Suppose u**2 - 9*u/4 + 1/2 = 0. What is u?
1/4, 2
Determine b so that -134*b**4/5 - 5758*b**3/5 - 12910*b**2 - 57162*b/5 + 1764/5 = 0.
-21, -1, 2/67
Find v such that 4*v**3 - 24*v**2 - 28*v = 0.
-1, 0, 7
Suppose 5*a**5 - 285*a**4 + 555*a**3 - 275*a**2 = 0. Calculate a.
0, 1, 55
Suppose n**2/3 - 20*n/3 + 17 = 0. Calculate n.
3, 17
What is f in 2*f**2/5 - 2968*f/5 + 1101128/5 = 0?
742
Factor 3*f**2/5 - 39*f/5 + 24.
3*(f - 8)*(f - 5)/5
Determine c so that 3*c**4 + 81*c**3 + 684*c**2 + 1536*c - 2304 = 0.
-12, -8, 1
Factor -5*z**2 - 4750*z - 1128125.
-5*(z + 475)**2
Factor -5*o**2 - 30*o - 25.
-5*(o + 1)*(o + 5)
Suppose 6*j**4 + 63*j**3 + 84*j**2 + 27*j = 0. Calculate j.
-9, -1, -1/2, 0
Factor p**2/3 - 287*p + 1718/3.
(p - 859)*(p - 2)/3
Factor 3*h**2/2 - 39*h + 72.
3*(h - 24)*(h - 2)/2
Let 2*b**2/13 + 246*b/13 - 248/13 = 0. What is b?
-124, 1
Factor -5*u**3 + 320*u**2 + 655*u + 330.
-5*(u - 66)*(u + 1)**2
Find z, given that z**2/8 - 13*z/4 + 6 = 0.
2, 24
Find w, given that w**3/5 - 129*w**2/5 - 80*w + 528/5 = 0.
-4, 1, 132
Factor -3*p**3/2 + 3617*p**2/2 - 1089621*p/2 - 363609/2.
-(p - 603)**2*(3*p + 1)/2
Factor -4*c**2/5 - 116*c/5 - 216/5.
-4*(c + 2)*(c + 27)/5
What is k in k**2/4 + 79*k/4 = 0?
-79, 0
Factor -2*u**2/11 + 4236*u/11 - 2242962/11.
-2*(u - 1059)**2/11
Suppose 4*a**5 + 24*a**4 + 32*a**3 - 8*a**2 - 36*a - 16 = 0. What is a?
-4, -1, 1
Suppose 3*b**2/2 - 159*b/2 - 435 = 0. Calculate b.
-5, 58
Factor -5*c**2 + 1325*c - 1320.
-5*(c - 264)*(c - 1)
Factor -x**3/5 - 18*x**2/5.
-x**2*(x + 18)/5
Let 3*f**3 - 1164*f**2 + 1161*f = 0. What is f?
0, 1, 387
Solve -y**4/7 - 15*y**3/7 + 52*y**2/7 - 36*y/7 = 0 for y.
-18, 0, 1, 2
Determine l, given that 444*l**5/11 + 442*l**4/11 - 446*l**3/11 - 442*l**2/11 + 2*l/11 = 0.
-1, 0, 1/222, 1
Factor -5*b**2 + 395*b + 400.
-5*(b - 80)*(b + 1)
Suppose 2*d**5 - 132*d**3 - 320*d**2 + 450*d = 0. What is d?
-5, 0, 1, 9
Suppose i**5/4 + 33*i**4/4 - 35*i**3/2 + i**2/2 + 69*i/4 - 35/4 = 0. What is i?
-35, -1, 1
Factor 9*d**4 + 116*d**3 + 194*d**2 + 76*d - 11.
(d + 1)**2*(d + 11)*(9*d - 1)
Factor 5*f**5 - 60*f**4 + 20*f**3 + 960*f**2 + 1280*f.
5*f*(f - 8)**2*(f + 2)**2
Factor -20*h**2 + 55428*h - 22168.
-4*(h - 2771)*(5*h - 2)
Factor -s**3/5 - 8*s**2/5 + 7*s + 30.
-(s - 5)*(s + 3)*(s + 10)/5
Factor -2*q**2/17 + 28*q/17 - 66/17.
-2*(q - 11)*(q - 3)/17
What is d in 9*d**3 + 732*d**2 - 6165*d - 2136 = 0?
-89, -1/3, 8
Suppose -k**2/2 - 95*k - 9025/2 = 0. What is k?
-95
Suppose b**5/2 + 23*b**4/2 + 55*b**3/2 - 103*b**2/2 - 28*b + 40 = 0. Calculate b.
-20, -4, -1, 1
Factor -3*n**4 + 105*n**3 + 114*n**2 - 216*n.
-3*n*(n - 36)*(n - 1)*(n + 2)
What is j in -j**2/7 + 20*j/7 - 100/7 = 0?
10
Suppose -2*x**3 + 988*x**2 + 3976*x + 3984 = 0. What is x?
-2, 498
Solve 4*t**2 - 32*t + 28 = 0.
1, 7
Let 2*a**5/7 + 74*a**4/7 + 972*a**3/7 + 5372*a**2/7 + 11570*a/7 + 1014 = 0. What is a?
-13, -7, -3, -1
Factor -4*z**2 - 3600*z + 7216.
-4*(z - 2)*(z + 902)
Factor -3*a**3/4 + 51*a**2/4 + 126*a.
-3*a*(a - 24)*(a + 7)/4
Find d such that 5*d**3 + 20*d**2 + 5*d - 30 = 0.
-3, -2, 1
Suppose 3*h**4 + 795*h**3/2 + 25731*h**2/2 - 39999*h/2 + 13467/2 = 0. What is h?
-67, 1/2, 1
Let -4*w**3 + 924*w**2 + 1860*w + 932 = 0. Calculate w.
-1, 233
What is j in j**5/3 - 7*j**4/3 + 8*j**3/3 + 28*j**2/3 - 16*j = 0?
-2, 0, 2, 3, 4
Let n**3 - n**2 - 10*n - 8 = 0. What is n?
-2, -1, 4
Let a**3/4 + 319*a**2/4 - 641*a/4 + 321/4 = 0. What is a?
-321, 1
What is b in b**3 - 2*b**2 - 64*b + 128 = 0?
-8, 2, 8
Determine c so that 20*c**5/9 - 3232*c**4/9 + 1844*c**3/9 + 14216*c**2/9 - 7696*c/9 - 5152/9 = 0.
-2, -2/5, 1, 2, 161
Suppose n**4 + 43*n**3 - 94*n**2 - 172*n + 360 = 0. What is n?
-45, -2, 2
Determine u, given that -u**5 - 6*u**4 - 11*u**3 - 2*u**2 + 12*u + 8 = 0.
-2, -1, 1
Solve 3*k**4 - 9*k**3 - 45*k**2 - 51*k - 18 = 0.
-1, 6
Solve -9*h**3 + 65*h**2 - 104*h + 20 = 0.
2/9, 2, 5
Factor 8*o**4/3 - 74*o**3/3 + 6*o**2.
2*o**2*(o - 9)*(4*o - 1)/3
Solve t**3/2 - 93*t**2/2 + 1104*t - 1058 = 0.
1, 46
What is f in f**3/2 - f**2/2 - 6*f = 0?
-3, 0, 4
Solve -4*l**4 - 1217*l**3 + 2140*l**2 - 613*l - 306 = 0 for l.
-306, -1/4, 1
Determine x so that 2*x**4/7 - 22*x**3/7 + 20*x**2/7 = 0.
0, 1, 10
Factor 5*v**2 + 228*v - 92.
(v + 46)*(5*v - 2)
Factor -z**3/3 - 689*z**2/3.
-z**2*(z + 689)/3
Let 4*d**3 - 36*d**2 + 96*d - 80 = 0. Calculate d.
2, 5
Solve s**5/9 - 2*s**4/9 - s**3/9 + 2*s**2/9 = 0.
-1, 0, 1, 2
Factor 2*y**4/5 + 6*y**3/5 - 64*y**2/5 + 24*y - 64/5.
2*(y - 2)**2*(y - 1)*(y + 8)/5
Let 2*o**3/5 + 364*o**2/5 + 16192*o/5 - 33856/5 = 0. Calculate o.
-92, 2
Factor -8*r**2/5 + 22*r/5 + 6/5.
-2*(r - 3)*(4*r + 1)/5
Determine g, given that -3*g**3 + 159*g**2 + 327*g + 165 = 0.
-1, 55
Factor i**4/4 - 7*i**3/4 + 9*i**2/2 - 5*i + 2.
(i - 2)**3*(i - 1)/4
What is r in -5*r**5 + 85*r**4 - 495*r**3 + 1035*r**2 - 1620 = 0?
-1, 3, 6
Factor m**4/4 - 37*m**3/4 + 41*m**2 - 32*m.
m*(m - 32)*(m - 4)*(m - 1)/4
Let 4*m**2 - 116*m - 120 = 0. What is m?
-1, 30
Factor -2*z**2 - 548*z - 37538.
-2*(z + 137)**2
Let 3*l**2/4 + 2073*l/2 + 1432443/4 = 0. Calculate l.
-691
Factor 8*j**2 - 236*j - 120.
4*(j - 30)*(2*j + 1)
Determine s so that -4*s**2/9 + 68*s/9 + 120 = 0.
-10, 27
Factor 2*j**3/3 - 280*j**2/3 + 826*j/3 - 