*(d - 169)*(d - 1)
Factor -2*x**2 + 144*x + 146.
-2*(x - 73)*(x + 1)
Determine b, given that 19652*b**3 - 13872*b**2 + 3264*b - 256 = 0.
4/17
Solve -2*i**3 + 50*i**2 + 106*i + 54 = 0 for i.
-1, 27
Solve 7*i**5/2 + 8*i**4 - 17*i**3/2 - 3*i**2 = 0 for i.
-3, -2/7, 0, 1
Suppose -q**2/3 - 116*q/3 - 448/3 = 0. What is q?
-112, -4
Factor -3*t**2 - 69*t + 324.
-3*(t - 4)*(t + 27)
Determine v so that -2*v**3 + 388*v**2 - 770*v + 384 = 0.
1, 192
Find l such that -35*l**2 + 93650*l + 26760 = 0.
-2/7, 2676
Factor -18*z**2 + 428*z + 96.
-2*(z - 24)*(9*z + 2)
Factor j**2 + 12*j - 220.
(j - 10)*(j + 22)
Factor 2*s**2/7 + 26*s/7 + 24/7.
2*(s + 1)*(s + 12)/7
Factor v**4/11 + 39*v**3/11 + 219*v**2/11 - 235*v/11 - 2400/11.
(v - 3)*(v + 5)**2*(v + 32)/11
Factor 2*y**5/23 - 10*y**4/23 - 16*y**3/23 + 96*y**2/23.
2*y**2*(y - 4)**2*(y + 3)/23
Factor -w**5 + 8*w**4/3 - 7*w**3/3 + 2*w**2/3.
-w**2*(w - 1)**2*(3*w - 2)/3
Factor v**2/7 - 30*v/7 - 136/7.
(v - 34)*(v + 4)/7
Find t such that 3*t**4 + 48*t**3 - 927*t**2 - 972*t = 0.
-27, -1, 0, 12
Factor -2*i**4 - 244*i**3 - 7664*i**2 - 12480*i + 57600.
-2*(i - 2)*(i + 4)*(i + 60)**2
Solve -3*l**4/4 + 6*l**3 + 51*l**2/2 - 6*l - 99/4 = 0.
-3, -1, 1, 11
What is l in 2*l**4/9 + 16*l**3/3 + 38*l**2/3 - 268*l/9 - 112/3 = 0?
-21, -4, -1, 2
Find x, given that -4*x**3/7 + 140*x**2 + 5056*x/7 - 2000 = 0.
-7, 2, 250
Factor -5*h**2/3 - 23*h/3 + 10/3.
-(h + 5)*(5*h - 2)/3
Factor -2*u**5 + 16*u**4 - 44*u**3 + 56*u**2 - 34*u + 8.
-2*(u - 4)*(u - 1)**4
Let 6*t**5/7 - 88*t**4/7 + 362*t**3/7 - 528*t**2/7 + 216*t/7 = 0. Calculate t.
0, 2/3, 2, 3, 9
Factor 3*s**4/2 + 81*s**3 + 234*s**2 + 231*s + 153/2.
3*(s + 1)**3*(s + 51)/2
Let 2*n**2 - 300*n - 608 = 0. Calculate n.
-2, 152
Let 15*q**3 - 2590*q**2 - 3475*q - 870 = 0. What is q?
-1, -1/3, 174
Determine o so that 2*o**3/5 - 272*o**2 - 2*o/5 + 272 = 0.
-1, 1, 680
Find y such that 2*y**5 + 14*y**4 + 6*y**3 - 62*y**2 + 40*y = 0.
-5, -4, 0, 1
Determine q so that q**3 - 172*q - 336 = 0.
-12, -2, 14
Factor 12*k**4 + 99*k**3 + 216*k**2 + 48*k.
3*k*(k + 4)**2*(4*k + 1)
Determine r, given that 16*r**4/5 + 4*r**3 - 58*r**2/5 + 22*r/5 = 0.
-11/4, 0, 1/2, 1
Factor 6*d**2/11 - 370*d/11 - 124/11.
2*(d - 62)*(3*d + 1)/11
Suppose -880*c**3 - 472*c**2 - 71*c - 2 = 0. What is c?
-1/4, -2/55
Factor 3*q**3/5 + 9*q**2/5.
3*q**2*(q + 3)/5
Factor -r**4/7 + 26*r**3/7 - 92*r**2/7 + 88*r/7.
-r*(r - 22)*(r - 2)**2/7
Determine d so that 4*d**5/3 + 100*d**4/3 + 288*d**3 + 2816*d**2/3 + 2048*d/3 = 0.
-8, -1, 0
Factor -4*a**2 + 952*a + 956.
-4*(a - 239)*(a + 1)
What is o in 12*o**4 + 112*o**3 - 84*o**2 - 40*o = 0?
-10, -1/3, 0, 1
Let 138*d**3 - 275*d**2 - 2*d = 0. What is d?
-1/138, 0, 2
Suppose m**2/5 + 3819*m/5 = 0. Calculate m.
-3819, 0
Let 6*f**5 + 26*f**4 + 22*f**3 - 10*f**2 - 12*f = 0. What is f?
-3, -1, 0, 2/3
Factor 3*c**2 - 27*c + 42.
3*(c - 7)*(c - 2)
Factor -2*h**5 + 4*h**3 - 2*h.
-2*h*(h - 1)**2*(h + 1)**2
Determine g so that g**2/2 + 3*g + 5/2 = 0.
-5, -1
Factor 3*l**2 - 17*l + 22.
(l - 2)*(3*l - 11)
Factor 3*f**3/2 - 84*f**2 + 2175*f/2 + 2523.
3*(f - 29)**2*(f + 2)/2
Factor -3*r**2 - 8*r - 4.
-(r + 2)*(3*r + 2)
Factor -2*t**2/3 - 2*t/3 + 4.
-2*(t - 2)*(t + 3)/3
Factor 4*p**4 - 52*p**3 + 92*p**2 + 868*p - 2352.
4*(p - 7)**2*(p - 3)*(p + 4)
Factor 5*b**3 + 70*b**2 - 75*b.
5*b*(b - 1)*(b + 15)
Solve y**4/5 + 11*y**3 - 56*y**2/5 = 0 for y.
-56, 0, 1
Factor -t**2/8 + 277*t/8 - 1335/4.
-(t - 267)*(t - 10)/8
Let -5*q**4 + 50*q**3 - 140*q**2 + 120*q = 0. What is q?
0, 2, 6
Solve v**2 - 704*v = 0 for v.
0, 704
Solve 2*g**3/19 + 50*g**2/19 - 6*g - 162/19 = 0.
-27, -1, 3
Let w**4/5 + 2*w**3/5 - 73*w**2/5 - 218*w/5 - 144/5 = 0. Calculate w.
-8, -2, -1, 9
Solve -4*k**3 - 584*k**2/3 + 1420*k/3 - 136 = 0.
-51, 1/3, 2
Factor v**3/2 - 5*v**2.
v**2*(v - 10)/2
Find y, given that -75*y**5 - 1215*y**4 - 1077*y**3 + 4455*y**2 + 5508*y + 1620 = 0.
-15, -2, -3/5, 2
Determine f, given that 2*f**3 - 30*f**2 - 66*f - 34 = 0.
-1, 17
Factor -m**3/3 + 89*m**2 - 5896*m - 17956/3.
-(m - 134)**2*(m + 1)/3
Factor 1369*q**3 - 32634*q**2 - 5319*q - 216.
(q - 24)*(37*q + 3)**2
Solve -n**4 + 2*n**3 + 64*n**2 + 160*n = 0 for n.
-4, 0, 10
What is i in 54*i**4/5 + 186*i**3/5 + 64*i**2/5 - 24*i/5 = 0?
-3, -2/3, 0, 2/9
Suppose 2*k**4 - 24*k**3 - 162*k**2 - 136*k = 0. Calculate k.
-4, -1, 0, 17
Factor 4*m**5 - 8*m**4 - 12*m**3 + 16*m**2 + 16*m.
4*m*(m - 2)**2*(m + 1)**2
Solve -2*x**3/13 - 4*x**2/13 + 14*x/13 - 8/13 = 0.
-4, 1
Find w, given that -2*w**3/11 - 240*w**2/11 - 472*w/11 = 0.
-118, -2, 0
Factor -2*c**3/5 + 78*c**2/5 - 1014*c/5 + 4394/5.
-2*(c - 13)**3/5
Determine t, given that -4*t**2/5 - 24*t - 180 = 0.
-15
Factor 2*m**3 - 128*m**2 - 270*m + 396.
2*(m - 66)*(m - 1)*(m + 3)
Solve -k**2 - 26*k - 88 = 0 for k.
-22, -4
Find x such that -4*x**4/3 - 8*x**3/3 + 4*x**2/3 + 8*x/3 = 0.
-2, -1, 0, 1
Determine f, given that -3*f**3 + 52*f**2/3 + 4*f = 0.
-2/9, 0, 6
Factor -2*n**3 + 10*n**2 + 8*n - 40.
-2*(n - 5)*(n - 2)*(n + 2)
Factor -t**4/4 + 5*t**3/4 + 100*t**2 + 625*t.
-t*(t - 25)*(t + 10)**2/4
Factor -3*o**2 + 171*o - 918.
-3*(o - 51)*(o - 6)
Determine w, given that -2*w**2/3 - 20*w/3 - 50/3 = 0.
-5
Factor -2*j**2 - 22*j - 36.
-2*(j + 2)*(j + 9)
Factor 2*o**2/5 + 202*o/5 + 40.
2*(o + 1)*(o + 100)/5
What is v in -3*v**2/7 - 12*v - 81/7 = 0?
-27, -1
Factor -3*u**2 + 258*u + 528.
-3*(u - 88)*(u + 2)
Find n such that 5*n**3/2 - 55*n**2/4 + 15*n = 0.
0, 3/2, 4
Factor -d**3/2 + 3*d**2/4 + 2*d + 3/4.
-(d - 3)*(d + 1)*(2*d + 1)/4
Factor d**5 + 32*d**4 - 35*d**3 - 66*d**2.
d**2*(d - 2)*(d + 1)*(d + 33)
Factor -f**5 - 2*f**4 + 6*f**3 + 20*f**2 + 19*f + 6.
-(f - 3)*(f + 1)**3*(f + 2)
Solve 2*j**2/7 - 528*j + 243936 = 0.
924
Suppose 2*m**2/13 - 174*m/13 + 1264/13 = 0. Calculate m.
8, 79
What is u in u**5/3 + 4*u**4 - 45*u**3 - 126*u**2 + 756*u + 1944 = 0?
-18, -3, 6
Find f such that f**2/2 + 328*f - 658 = 0.
-658, 2
Solve 5*x**3 + 115*x**2 + 880*x + 2240 = 0.
-8, -7
Find s, given that -2*s**4 - 180*s**3 - 4224*s**2 - 7744*s = 0.
-44, -2, 0
Let 4*h**3 + 76*h**2 + 392*h + 320 = 0. Calculate h.
-10, -8, -1
Let -r**4/9 + 25*r**3/9 + 4*r**2/9 - 100*r/9 = 0. Calculate r.
-2, 0, 2, 25
Factor c**2/5 - 276*c/5 + 1088/5.
(c - 272)*(c - 4)/5
What is a in 2*a**5 - 4*a**4 - 40*a**3 + 16*a**2 + 256*a + 256 = 0?
-2, 4
Suppose -8*m**5 - 152*m**4 - 642*m**3 + 760*m**2 - 200*m = 0. What is m?
-10, 0, 1/2
Factor 15*g**2 - g - 14.
(g - 1)*(15*g + 14)
Factor 75*r**3 - 48765*r**2 + 58437*r - 17523.
3*(r - 649)*(5*r - 3)**2
Solve 2*s**5 - 422*s**4 - 424*s**3 = 0 for s.
-1, 0, 212
Factor -244*l**5 + 740*l**4 - 756*l**3 + 268*l**2 - 8*l.
-4*l*(l - 1)**3*(61*l - 2)
Factor 3*x**4 + 3*x**3 - 18*x**2 - 12*x + 24.
3*(x - 2)*(x - 1)*(x + 2)**2
Factor -3*y**2 + 117*y + 120.
-3*(y - 40)*(y + 1)
Factor b**4 - 2*b**3.
b**3*(b - 2)
Determine x, given that -6*x**4 + 1323*x**3/2 - 11565*x**2 + 56850*x - 13500 = 0.
1/4, 10, 90
Solve -4*t**3 + 92*t**2 - 572*t + 484 = 0.
1, 11
Solve -2*y**4/3 - 56*y**3/3 - 332*y**2/3 + 280*y - 150 = 0.
-15, 1
Factor 2*u**3/21 + 52*u**2/21 - 58*u/7.
2*u*(u - 3)*(u + 29)/21
Factor 5*h**3 - 10*h**2 - 35*h - 20.
5*(h - 4)*(h + 1)**2
Suppose 17*l**5 - 32*l**4 + 13*l**3 + 2*l**2 = 0. Calculate l.
-2/17, 0, 1
Solve -2*j**4 + 6*j**3 + 12*j**2 - 16*j = 0.
-2, 0, 1, 4
Factor -4*w**3 + 32*w**2 + 76*w + 40.
-4*(w - 10)*(w + 1)**2
Find z, given that -324*z**4 - 720*z**3 + 752*z**2 + 1280*z - 1024 = 0.
-2, 8/9
Factor -5*x**4/3 + 16*x**3/3 + x**2 - 6*x.
-x*(x - 3)*(x + 1)*(5*x - 6)/3
What is y in 715*y**3/3 - 301*y**2/3 + 2*y = 0?
0, 3/143, 2/5
Determine y so that -36*y**5 - 228*y**4 + 1028*y**3 + 5876*y**2 - 4224*y + 720 = 0.
-6, 1/3, 5
Factor 729*c**3/4 - c**2/2 - 729*c/4 + 1/2.
(c - 1)*(c + 1)*(729*c - 2)/4
Factor -2*l**4 - 6330*l**3.
-2*l**3*(l + 3165)
Suppose -3*a**2 - 396*a - 1161 = 0. What is a?
-129, -3
Solve -3*s**3/4 - 9*s**2 + 2523*s/4 - 621 = 0 for s.
-36, 1, 23
Factor 3*j**5 + 51*j**4 - 882*j**3 + 4374*j**2 - 9153*j + 7047.
3*(j - 3)**4*(j + 29)
Solve c**2/3 + 8*c/3 + 16/3 = 0.
-4
Solve -54*x**4/11 + 4338*x**3/11 + 276*x**2 - 888*x + 3888/11 = 0.
-2, 2/3, 81
Factor l**3/2 - 69*l**2/2 - l/2 + 69/2.
(l - 69)*(l - 1)*(l + 1)/2
Determine h, given that 114*h**3 + 10272*h**2/5 + 216*h/5 = 0.
-18, -2/95, 0
Find v, given that 2*v**5/13 + 62*v**4/13 + 114*v**3/13 - 62*v**2/1