 1)**2/6
Factor -5*a**2 + 135*a - 700.
-5*(a - 20)*(a - 7)
Factor 108578*a**2/11 + 3728*a/11 + 32/11.
2*(233*a + 4)**2/11
Factor 2*v**4 + 72*v**3 - 398*v**2 + 492*v.
2*v*(v - 3)*(v - 2)*(v + 41)
Factor l**2/5 - 4*l/5 - 1.
(l - 5)*(l + 1)/5
Let r**5/4 - 3*r**4/2 - 4*r**3 = 0. What is r?
-2, 0, 8
Let -4*q**2 - 57584*q - 207244816 = 0. Calculate q.
-7198
Factor 2*j**4/5 - 4*j**3/5 - 14*j**2/5 - 8*j/5.
2*j*(j - 4)*(j + 1)**2/5
Factor 2*y**3 - 3738*y**2 + 1748448*y - 1744712.
2*(y - 934)**2*(y - 1)
Solve 3*z**3/4 + 23823*z**2/4 + 47282697*z/4 - 47306523/4 = 0.
-3971, 1
What is f in 30*f**2/11 - 15236*f/11 - 2032/11 = 0?
-2/15, 508
Find w, given that w**5/9 + 17*w**4/9 - 41*w**3/9 - 19*w**2/3 = 0.
-19, -1, 0, 3
Factor -5*w**2 - 720*w - 25920.
-5*(w + 72)**2
Determine d so that -4*d**2/3 - 136*d/3 - 124 = 0.
-31, -3
Let -4*d**4 - 4*d**3 + 28*d**2 + 4*d - 24 = 0. Calculate d.
-3, -1, 1, 2
Factor w**5/3 + w**4/3 - w**3/3 - w**2/3.
w**2*(w - 1)*(w + 1)**2/3
Factor -v**3/8 - 95*v**2/8.
-v**2*(v + 95)/8
Factor d**4/3 + 9*d**3 + 17*d**2 + 25*d/3.
d*(d + 1)**2*(d + 25)/3
Factor 3*l**4 + 27*l**3 + 27*l**2 - 147*l + 90.
3*(l - 1)**2*(l + 5)*(l + 6)
Factor -3*n**5 - 3*n**4 + 3*n**3 + 3*n**2.
-3*n**2*(n - 1)*(n + 1)**2
Factor 2*o**5/11 + 10*o**4/11 + 12*o**3/11 - 8*o**2/11 - 16*o/11.
2*o*(o - 1)*(o + 2)**3/11
Find w, given that -4*w**4 + 92*w**3 - 524*w**2 - 92*w + 528 = 0.
-1, 1, 11, 12
Find f, given that 4*f**5 + 24*f**4 - 40*f**3 - 240*f**2 + 36*f + 216 = 0.
-6, -3, -1, 1, 3
Suppose r**2 + 55*r + 54 = 0. What is r?
-54, -1
Factor -3*u**5 - 18*u**4/5.
-3*u**4*(5*u + 6)/5
Let -h**4/6 - 275*h**3/3 - 25207*h**2/2 + 1100*h/3 + 151250/3 = 0. Calculate h.
-275, -2, 2
Factor -14*g**4 - 102*g**3 - 196*g**2 - 48*g.
-2*g*(g + 3)*(g + 4)*(7*g + 2)
Suppose 5*m**3 - 17*m**2 - 14*m + 8 = 0. Calculate m.
-1, 2/5, 4
Factor -2*x**2/7 + 244*x/7 - 480/7.
-2*(x - 120)*(x - 2)/7
Solve -2*n**4/7 + 2*n**2 + 12*n/7 = 0.
-2, -1, 0, 3
Factor -2*k**3/5 + 4*k**2/5.
-2*k**2*(k - 2)/5
Solve 3*o**4/7 - 27*o**3/7 - 9*o**2/7 + 75*o/7 + 54/7 = 0 for o.
-1, 2, 9
Suppose 6*a**3 - 2*a**2 - 40*a - 24 = 0. What is a?
-2, -2/3, 3
Determine b, given that 3*b**2/2 + 498*b + 2934 = 0.
-326, -6
Factor -3*o**4 + 30*o**3 - 24*o**2 - 30*o + 27.
-3*(o - 9)*(o - 1)**2*(o + 1)
Factor -3*v**2/4 - 867*v/4 - 2547/2.
-3*(v + 6)*(v + 283)/4
Factor 1340*c**3 + 15*c**2.
5*c**2*(268*c + 3)
Factor p**2/4 + 127*p/4 - 32.
(p - 1)*(p + 128)/4
Suppose q**2/4 + 1411*q/4 + 705/2 = 0. What is q?
-1410, -1
Factor -3*y**3 + 120*y**2 + 1683*y.
-3*y*(y - 51)*(y + 11)
Find k such that 2*k**4 - 106*k**3 - 228*k**2 + 424*k + 880 = 0.
-2, 2, 55
Let 3*k**3/7 - 1653*k**2/7 + 223512*k/7 + 1159260/7 = 0. What is k?
-5, 278
What is b in b**3/4 - 13*b**2/2 - 59*b/4 + 21 = 0?
-3, 1, 28
Factor 2*l**3/13 - 14*l**2/13 - 2*l/13 + 14/13.
2*(l - 7)*(l - 1)*(l + 1)/13
What is a in -3*a**5/5 + 3*a**4 + 3*a**3 - 15*a**2 - 24*a - 48/5 = 0?
-1, 4
Find y, given that 6*y**3 + 321*y**2 - 1554*y + 696 = 0.
-58, 1/2, 4
Find l such that l**4/2 - 23*l**3/2 - 103*l**2/2 - 133*l/2 - 27 = 0.
-2, -1, 27
Factor -4*n**4 - 64*n**3 - 244*n**2 - 264*n.
-4*n*(n + 2)*(n + 3)*(n + 11)
Factor -3*s**3/4 - 153*s**2/4 - 2601*s/4 - 14739/4.
-3*(s + 17)**3/4
Factor -2*x**3/13 - 18*x**2/13 - 30*x/13 + 50/13.
-2*(x - 1)*(x + 5)**2/13
Let -h**2 - 43*h = 0. Calculate h.
-43, 0
Find f such that f**2/5 + 248*f/5 + 15376/5 = 0.
-124
Determine y so that 2*y**2/11 - 510*y/11 + 2008/11 = 0.
4, 251
Find n such that -2*n**3/9 - 74*n**2/3 - 2738*n/3 - 101306/9 = 0.
-37
Determine s so that 3*s**2/7 + 174*s/7 + 2523/7 = 0.
-29
Suppose t**4 - 95*t**3/6 - 173*t**2/3 - 283*t/6 - 19/3 = 0. Calculate t.
-2, -1, -1/6, 19
Factor -v**2 + 137*v + 138.
-(v - 138)*(v + 1)
Solve -2*u**3/17 + 94*u**2/17 + 32*u - 2856 = 0.
-21, 34
Factor -3*v**2 + 9*v + 810.
-3*(v - 18)*(v + 15)
Solve a**3/3 - 8*a**2/3 + 3*a + 6 = 0.
-1, 3, 6
Factor -d**2 + 2*d + 8.
-(d - 4)*(d + 2)
Find r, given that 3*r**4 + 33*r**3 + 69*r**2 - 105*r = 0.
-7, -5, 0, 1
Factor 5*m**2 + 1055*m + 3120.
5*(m + 3)*(m + 208)
Factor 5*c**3 + 2325*c**2 + 269115*c - 271445.
5*(c - 1)*(c + 233)**2
Determine q so that -123245*q**5 + 6530415*q**4 - 83107170*q**3 - 90905090*q**2 - 1147905*q - 3645 = 0.
-1, -1/157, 27
Factor -5*x**5 - 10*x**4 + 235*x**3 + 580*x**2 - 2800*x - 8000.
-5*(x - 5)**2*(x + 4)**3
Determine j so that -3*j**5/2 - 9*j**4 - 15*j**3 + 33*j/2 + 9 = 0.
-3, -2, -1, 1
Factor -r**3 + 564*r**2.
-r**2*(r - 564)
Find x such that -36*x**3 - 380*x**2 - 792*x - 448 = 0.
-8, -14/9, -1
Factor -2*u**2 - 132*u/5 - 368/5.
-2*(u + 4)*(5*u + 46)/5
What is b in -b**4 + 34*b**3 - 121*b**2 - 2856*b - 7056 = 0?
-4, 21
What is u in -5*u**3/4 + 15*u**2/4 + 45*u + 40 = 0?
-4, -1, 8
Solve -5*l**2 + 120*l + 6885 = 0.
-27, 51
Factor -3*r**3 - 2196*r**2 + 4401*r - 2202.
-3*(r - 1)**2*(r + 734)
Suppose 5*b**4 - 70*b**3 - 335*b**2 - 440*b - 180 = 0. Calculate b.
-2, -1, 18
Suppose 2*i**5/11 - 56*i**4/11 - 316*i**3/11 - 456*i**2/11 - 18*i = 0. What is i?
-3, -1, 0, 33
Suppose -2*u**3 - 254*u**2 + 2*u + 254 = 0. Calculate u.
-127, -1, 1
Let -6*r**3 - r**2/2 = 0. What is r?
-1/12, 0
Determine j, given that 7*j**5 - 163*j**4 + 305*j**3 + 703*j**2 - 1104*j + 252 = 0.
-2, 2/7, 1, 3, 21
What is s in 2*s**2/13 - 448*s/13 + 25088/13 = 0?
112
Factor -5*z**5 + 35*z**4 - 80*z**3 + 60*z**2.
-5*z**2*(z - 3)*(z - 2)**2
Let -26*k**5 + 862*k**4 - 6762*k**3 - 6494*k**2 + 1156*k = 0. What is k?
-1, 0, 2/13, 17
Determine t, given that -2*t**3/9 - 14*t**2/9 - 10*t/3 - 2 = 0.
-3, -1
Let -o**5/6 - 4*o**4 - 11*o**3/3 + 4*o**2 + 23*o/6 = 0. Calculate o.
-23, -1, 0, 1
Factor 4*l**2/3 + 24*l - 76/3.
4*(l - 1)*(l + 19)/3
Solve -2*n**3/3 + 158*n**2/3 + 2*n/3 - 158/3 = 0 for n.
-1, 1, 79
Factor -5*t**2 + 275*t.
-5*t*(t - 55)
Factor -2*a**3/3 + 38*a**2 - 522*a - 1682/3.
-2*(a - 29)**2*(a + 1)/3
Factor s**5 + 238*s**4 + 18721*s**3 + 473840*s**2 - 1004800*s + 512000.
(s - 1)**2*(s + 80)**3
Find c such that -2*c**5/5 + 2*c**4/5 + 2*c**3 - 2*c**2 - 8*c/5 + 8/5 = 0.
-2, -1, 1, 2
Factor -2*n**3/11 + 2296*n**2/11 - 656650*n/11 - 1322500/11.
-2*(n - 575)**2*(n + 2)/11
Factor -b**2 + 21*b + 72.
-(b - 24)*(b + 3)
Determine i so that i**2/4 + 29*i/2 + 841/4 = 0.
-29
Factor 4*u**3 - 20*u**2 - 228*u - 396.
4*(u - 11)*(u + 3)**2
Find y, given that -y**3/5 + 6*y**2/5 - 11*y/5 + 6/5 = 0.
1, 2, 3
Factor z**4 + 3*z**3 - 18*z**2 - 32*z + 96.
(z - 3)*(z - 2)*(z + 4)**2
Factor -5*x**2 - 4590*x - 1053405.
-5*(x + 459)**2
Let 4*r**4 + 11912*r**3 + 8868484*r**2 = 0. What is r?
-1489, 0
Factor -o**2/2 - 209*o + 420.
-(o - 2)*(o + 420)/2
Solve 3*f**2 + 126*f + 1323 = 0 for f.
-21
What is n in 30*n**5 + 55*n**4 - 50*n**2 - 30*n - 5 = 0?
-1, -1/2, -1/3, 1
Factor -d**2/4 + 7*d.
-d*(d - 28)/4
Factor 2*p**4 - 124*p**3 + 2154*p**2 - 7192*p + 6728.
2*(p - 29)**2*(p - 2)**2
Factor -j**2 - 160*j + 161.
-(j - 1)*(j + 161)
Factor u**5 - 3*u**4 - 4*u**3 + 12*u**2.
u**2*(u - 3)*(u - 2)*(u + 2)
Determine m so that 3*m**5/2 - 279*m**4/2 - 1161*m**3/2 - 309*m**2/2 + 873*m = 0.
-3, -2, 0, 1, 97
Suppose -w**3/7 + 899*w**2/7 - 29056*w + 86016 = 0. Calculate w.
3, 448
Factor -m**4/4 - 9*m**3/4 + 31*m**2 - 51*m.
-m*(m - 6)*(m - 2)*(m + 17)/4
Factor k**3/3 + 382*k**2/3 - 1541*k/3 + 386.
(k - 3)*(k - 1)*(k + 386)/3
Factor 2*s**2/7 + 22*s - 156/7.
2*(s - 1)*(s + 78)/7
Find l, given that -l**5/4 + 7*l**4/4 + 73*l**3/4 - 163*l**2/4 + 21*l = 0.
-7, 0, 1, 12
Suppose n**2/4 + 1947*n/4 + 973/2 = 0. Calculate n.
-1946, -1
Factor 4*r**3 - 952*r**2 + 7424*r - 14720.
4*(r - 230)*(r - 4)**2
Solve -5*f**5 + 20*f**4 - 20*f**3 = 0.
0, 2
Find y such that y**2/2 + 202*y + 20402 = 0.
-202
Find w such that 2*w**3 + 90*w**2 - 2*w - 90 = 0.
-45, -1, 1
Factor -4*f**4 + 4*f**3 + 4*f**2 - 4*f.
-4*f*(f - 1)**2*(f + 1)
Factor -k**3 + 38*k**2 + 271*k - 308.
-(k - 44)*(k - 1)*(k + 7)
Find r, given that 2*r**4/21 - 22*r**3/7 + 18*r**2/7 + 314*r/21 + 64/7 = 0.
-1, 3, 32
Find z such that -z**5 - 36*z**4 - 34*z**3 + 36*z**2 + 35*z = 0.
-35, -1, 0, 1
Find i such that 6*i**5/5 - 24*i**4 + 192*i**3 - 768*i**2 + 1536*i - 6144/5 = 0.
4
Factor c**3/4 - 11*c**2/2 + 24*c + 72.
(c - 12)**2*(c + 2)/4
What is y in 10*y**2 + 26165*y + 13080 = 0?
-2616, -1/2
Solve -4*x**4 - 8*x**3 + 16*x**2 + 8*x - 12 = 0 for x.
-3, -1, 1
Factor 52*w**2 + 100*w - 8.
4*(w + 2)*(13*w - 1)
Suppo