h so that h**5/3 - 2*h**4 + 4*h**3 - 8*h**2/3 = 0.
0, 2
Factor 5*m**3/4 + 105*m**2/2 + 585*m/4.
5*m*(m + 3)*(m + 39)/4
Factor d**3/4 - 45*d**2/4 - 71*d/2 - 24.
(d - 48)*(d + 1)*(d + 2)/4
Factor x**3 - 4*x**2 + 3*x.
x*(x - 3)*(x - 1)
Factor -u**2/3 + 1109*u/3 + 1112.
-(u - 1112)*(u + 3)/3
Factor 3*g**3 - 24*g**2 - 459*g.
3*g*(g - 17)*(g + 9)
Suppose -3*d**5 - 15*d**4 - 15*d**3 + 15*d**2 + 18*d = 0. Calculate d.
-3, -2, -1, 0, 1
Find j such that -2*j**5/11 + 90*j**4/11 + 2*j**3/11 - 90*j**2/11 = 0.
-1, 0, 1, 45
Let 2*f**4 - 24*f**3 + 78*f**2 - 56*f = 0. What is f?
0, 1, 4, 7
Solve -5*r**4 - 60*r**3 + 225*r**2 = 0 for r.
-15, 0, 3
Suppose -4*p**3 + 692*p**2 - 2720*p + 2704 = 0. What is p?
2, 169
Factor 2*h**2/11 + 1384*h/11 + 239432/11.
2*(h + 346)**2/11
What is j in -2*j**4/7 + 8*j**3 + 2*j**2/7 - 8*j = 0?
-1, 0, 1, 28
Factor 2*l**3 + 1736*l**2 + 6920*l + 6912.
2*(l + 2)**2*(l + 864)
Factor x**2/2 - 7*x - 36.
(x - 18)*(x + 4)/2
Factor 20*z**3 + 1244*z**2 + 1432*z - 1952.
4*(z + 2)*(z + 61)*(5*z - 4)
Let -40*n**5/7 - 274*n**4/7 + 726*n**3/7 - 62*n**2 - 2*n + 36/7 = 0. Calculate n.
-9, -1/4, 2/5, 1
Let r**3/2 + 103*r**2/2 + 880*r + 4150 = 0. What is r?
-83, -10
Factor -3*f**4 - 117*f**3 - 1197*f**2 - 1083*f.
-3*f*(f + 1)*(f + 19)**2
What is f in 3*f**2/4 - 294*f + 1173/4 = 0?
1, 391
Determine i, given that -8*i**5/7 - 36*i**4 + 2262*i**3/7 - 3005*i**2/7 + 1437*i/7 - 234/7 = 0.
-39, 1/2, 6
Solve -3*o**2 - 1080*o - 97200 = 0 for o.
-180
Solve -f**5/8 + 3*f**4/8 + f**3/4 - 3*f**2/4 - f/8 + 3/8 = 0 for f.
-1, 1, 3
Find d, given that -4*d**3 + 146*d**2/9 - 148*d/9 = 0.
0, 2, 37/18
Factor 4*y**3 + 36*y**2 + 60*y + 28.
4*(y + 1)**2*(y + 7)
Factor -4*g**2 - 420*g + 2664.
-4*(g - 6)*(g + 111)
Factor -3*z**4 + 78*z**3 - 75*z**2.
-3*z**2*(z - 25)*(z - 1)
Let o**3/5 + 14*o**2 + 245*o = 0. Calculate o.
-35, 0
Factor 3*u**3 + 1305*u**2 + 138600*u - 726000.
3*(u - 5)*(u + 220)**2
Suppose -9*p**3/10 - 17*p**2/5 + 53*p/10 - 1 = 0. What is p?
-5, 2/9, 1
Suppose 4*r**3/5 - 16*r**2 - 368*r/5 - 384/5 = 0. Calculate r.
-2, 24
Factor 5*m**3 - 50*m**2 - 345*m - 450.
5*(m - 15)*(m + 2)*(m + 3)
Factor -p**4/7 + p**3 - 16*p**2/7 + 12*p/7.
-p*(p - 3)*(p - 2)**2/7
Let -50*q**4/3 - 1580*q**3/3 - 3712*q**2/3 + 1676*q/3 - 58 = 0. What is q?
-29, -3, 1/5
Find k such that 4*k**5 + 20*k**4 - 12*k**3 - 180*k**2 - 216*k = 0.
-3, -2, 0, 3
Suppose a**2/3 - 318*a + 1904/3 = 0. Calculate a.
2, 952
Factor 9*z**3/4 + 51*z**2/2 + 33*z/4.
3*z*(z + 11)*(3*z + 1)/4
Let c**5/2 + 295*c**4/2 + 1747*c**3/2 + 3769*c**2/2 + 1736*c + 578 = 0. Calculate c.
-289, -2, -1
Factor j**3/2 + 11*j**2/2 - 7*j - 12.
(j - 2)*(j + 1)*(j + 12)/2
Let 4*v**5/9 + 364*v**4/9 + 11680*v**3/9 + 152816*v**2/9 + 637952*v/9 - 802816/9 = 0. Calculate v.
-32, -14, 1
Let g**5 + 26*g**4/3 - 14*g**3 - 16*g**2/3 + 13*g - 10/3 = 0. What is g?
-10, -1, 1/3, 1
Suppose 24*q**5/7 + 15*q**4 - 36*q**3/7 - 459*q**2/7 - 162*q/7 = 0. Calculate q.
-3, -3/8, 0, 2
Factor -p**4/5 - 8*p**3/5 + 31*p**2/5 - 22*p/5.
-p*(p - 2)*(p - 1)*(p + 11)/5
Factor -2*h**2 + 19*h/2 - 6.
-(h - 4)*(4*h - 3)/2
Factor 2*c**3 + 4*c**2 - 40*c + 48.
2*(c - 2)**2*(c + 6)
Determine t, given that 4*t**2 - 92*t + 240 = 0.
3, 20
Solve -4*p**5/9 + 208*p**4/9 - 976*p**3/9 + 1720*p**2/9 - 1324*p/9 + 376/9 = 0.
1, 2, 47
Solve -a**3/8 + 103*a**2/4 - 10609*a/8 = 0 for a.
0, 103
Factor -4*h**5 + 20*h**4 + 20*h**3 - 180*h**2 + 432.
-4*(h - 3)**3*(h + 2)**2
Suppose 4*k**2/3 + 560*k/3 = 0. Calculate k.
-140, 0
Factor 2*t**3 + 96*t**2 + 1242*t + 2116.
2*(t + 2)*(t + 23)**2
Determine k so that 3*k**4 - 27*k**3 + 72*k**2 - 48*k = 0.
0, 1, 4
Find p such that -2*p**3/13 - 258*p**2/13 - 8928*p/13 - 38440/13 = 0.
-62, -5
Factor 2*q**2/3 + 32*q/3.
2*q*(q + 16)/3
Factor -x**4 + 6*x**3 + 9*x**2 - 14*x.
-x*(x - 7)*(x - 1)*(x + 2)
Solve -2*k**2/7 - 62*k/7 - 260/7 = 0 for k.
-26, -5
Let -2*d**5/11 + 2*d**4 + 46*d**3/11 - 542*d**2/11 + 316*d/11 + 80 = 0. What is d?
-5, -1, 2, 4, 11
Determine u so that 2*u**2/5 - 214*u/5 - 436/5 = 0.
-2, 109
Solve z**2/3 - 181*z/3 - 310 = 0.
-5, 186
Suppose -5*o**5 - 165*o**4 - 1815*o**3 - 6655*o**2 = 0. Calculate o.
-11, 0
Find d such that 2*d**2/3 + 184*d/3 + 4232/3 = 0.
-46
Determine h, given that h**3/3 - 206*h**2/3 + 409*h/3 - 68 = 0.
1, 204
Find v, given that -5*v**5 + 50*v**4 + 15*v**3 - 160*v**2 + 100*v = 0.
-2, 0, 1, 10
Suppose 44*b**3 + 1284*b**2 - 1088*b - 240 = 0. Calculate b.
-30, -2/11, 1
Solve -3*p**5 + 261*p**4 - 759*p**3 + 243*p**2 + 762*p - 504 = 0.
-1, 1, 2, 84
Let -8*z**2/5 + 84*z/5 + 44/5 = 0. Calculate z.
-1/2, 11
Solve -3*b**4/8 - 9*b**3 - 111*b**2/2 - 126*b - 96 = 0 for b.
-16, -4, -2
Find v, given that -5*v**4 + 85*v**3 - 145*v**2 - 85*v + 150 = 0.
-1, 1, 2, 15
What is s in -2*s**5/7 - 10*s**4/7 + 192*s**3/7 + 232*s**2/7 - 736*s/7 - 768/7 = 0?
-12, -2, -1, 2, 8
Factor s**2 - 1215*s - 1216.
(s - 1216)*(s + 1)
Factor -2*c**2/15 + 446*c/15 - 148/5.
-2*(c - 222)*(c - 1)/15
Let -20*o**3 - 236*o**2 + 344*o + 416 = 0. What is o?
-13, -4/5, 2
Suppose 2*l**4/5 - 246*l**3/5 + 1584*l**2 - 4320*l = 0. What is l?
0, 3, 60
Solve o**2/4 - 38*o + 1444 = 0.
76
What is u in u**4/5 - 132*u**3/5 + 5808*u**2/5 - 85184*u/5 = 0?
0, 44
Find i such that 6*i**2 + 9016*i - 3006 = 0.
-1503, 1/3
What is a in a**2/5 - 18*a/5 + 81/5 = 0?
9
What is c in -2*c**5 - 68*c**4 + 352*c**3 + 20068*c**2 - 350*c - 20000 = 0?
-25, -1, 1, 16
Factor g**2/3 + 7*g/3 + 10/3.
(g + 2)*(g + 5)/3
Suppose -4*d**4 + 68*d**3 - 312*d**2 + 128*d + 512 = 0. What is d?
-1, 2, 8
Solve 5*c**2 - 15*c - 140 = 0.
-4, 7
Suppose -2*i**4/3 + 340*i**3/3 - 4702*i**2 - 29240*i/3 - 14792/3 = 0. What is i?
-1, 86
Determine f so that -4*f**5 - 40*f**4 - 76*f**3 + 120*f**2 = 0.
-6, -5, 0, 1
Factor -196*g**3 - 224*g**2 + 300*g - 72.
-4*(g + 2)*(7*g - 3)**2
Factor -4*x**2 + 380*x + 384.
-4*(x - 96)*(x + 1)
Suppose 2*w**4/19 - 20*w**3/19 + 26*w**2/19 + 120*w/19 + 72/19 = 0. Calculate w.
-1, 6
Factor -4*n**3 + 1901*n**2 - 475*n.
-n*(n - 475)*(4*n - 1)
Factor 3*l**2 + 57*l - 360.
3*(l - 5)*(l + 24)
Factor -2*z**5/11 + 4*z**4 - 282*z**3/11 + 40*z**2 - 200*z/11.
-2*z*(z - 10)**2*(z - 1)**2/11
Factor 16*o**2 + 508*o - 128.
4*(o + 32)*(4*o - 1)
Factor 2*l**4/7 + 30*l**3/7 + 72*l**2/7.
2*l**2*(l + 3)*(l + 12)/7
Solve -3*m**3/2 + 129*m**2/2 - 123*m = 0.
0, 2, 41
Find u, given that 4*u**5 + 12*u**4 - 212*u**3 - 444*u**2 - 224*u = 0.
-8, -1, 0, 7
Suppose -c**2/2 + 33*c/2 + 35 = 0. Calculate c.
-2, 35
Determine w, given that -9*w**4 + 231*w**3 - 1662*w**2 + 2304*w - 864 = 0.
2/3, 1, 12
Factor 2*j**2 - 110*j - 868.
2*(j - 62)*(j + 7)
What is z in -z**2 - 29*z - 54 = 0?
-27, -2
Solve 32*d**5/3 - 1104*d**4 + 32294*d**3 - 563918*d**2/3 + 88000*d - 10752 = 0 for d.
1/4, 7, 48
Factor 2*g**4/7 - 268*g**3/7 + 9490*g**2/7 - 33800*g/7.
2*g*(g - 65)**2*(g - 4)/7
Determine z so that -z**3 - 18*z**2 - 32*z = 0.
-16, -2, 0
Factor -2*m**2/7 - 304*m/7 - 894/7.
-2*(m + 3)*(m + 149)/7
Let -k**2/4 - 4*k + 33 = 0. What is k?
-22, 6
Factor -3*b**3/4 + 48*b.
-3*b*(b - 8)*(b + 8)/4
Find i such that -2*i**5/11 + 186*i**4 - 520188*i**3/11 - 1572860*i**2/11 - 1576962*i/11 - 526338/11 = 0.
-1, 513
Find a, given that 3*a**4/8 - 531*a**3/4 + 96087*a**2/8 - 92925*a/2 + 91875/2 = 0.
2, 175
Factor 5*d**2/6 - 2495*d + 3735015/2.
5*(d - 1497)**2/6
Let -2*z**3/3 + 1597*z**2/6 - 1991*z/6 + 199/3 = 0. Calculate z.
1/4, 1, 398
Find r such that r**4 + 5*r**3 - 3*r**2 - 17*r - 10 = 0.
-5, -1, 2
Determine n, given that n**2/6 - 169*n/2 - 254/3 = 0.
-1, 508
Let -5*x**2/3 - 800*x/3 + 805/3 = 0. Calculate x.
-161, 1
Factor 2*r**5 - r**4 - 5*r**3 - 2*r**2.
r**2*(r - 2)*(r + 1)*(2*r + 1)
Factor -7*g**3/5 - 3*g**2 - 9*g/5 - 1/5.
-(g + 1)**2*(7*g + 1)/5
Factor -2*q**2/11 - 104*q + 1146/11.
-2*(q - 1)*(q + 573)/11
Factor -3*z**2/5 + 45*z - 438/5.
-3*(z - 73)*(z - 2)/5
Determine i, given that 5*i**4 + 385*i**3 - 1205*i**2 - 385*i + 1200 = 0.
-80, -1, 1, 3
Factor 5*z**3 + 195*z**2 + 2080*z + 5520.
5*(z + 4)*(z + 12)*(z + 23)
Factor -5*u**4 - 80*u**3 + 275*u**2 - 190*u.
-5*u*(u - 2)*(u - 1)*(u + 19)
Find k such that 3*k**2 - 579*k - 8034 = 0.
-13, 206
Factor -h**5/5 + 12*h**4/5 - 46*h**3/5 + 12*h**2 - 5*h.
-h*(h - 5)**2*(h - 1)**2/5
Factor -h**3/3 + 58*h**2 - 2739*h + 55112/3.
-(h - 83)**2*(h - 8)/3
Factor -u**3/4 - 295*u**2/4 + 593*u/4 - 297/4.
-(u - 1)**2*(u + 297)/4
F