1)**4
Solve 8*h**2/5 - 2*h = 0 for h.
0, 5/4
Let -q**2/2 + 443*q = 0. What is q?
0, 886
Factor -2*v**2/9 - 118*v/9 - 440/9.
-2*(v + 4)*(v + 55)/9
Factor -r**5/4 - 8*r**4 - 357*r**3/4 - 755*r**2/2 - 275*r + 750.
-(r - 1)*(r + 3)*(r + 10)**3/4
Solve -15*c**3 + 244*c**2 + 185*c + 34 = 0 for c.
-2/5, -1/3, 17
Factor i**3/2 + 125*i**2/2 + 1100*i + 5250.
(i + 10)**2*(i + 105)/2
Find x, given that -49*x**5 - 364*x**4 - 613*x**3 - 46*x**2 + 212*x - 40 = 0.
-5, -2, -1, 2/7
Let -16*s**4 - 108*s**3 + 684*s**2 - 692*s + 132 = 0. Calculate s.
-11, 1/4, 1, 3
Find j, given that 4*j**3 - 60*j**2 + 300*j - 500 = 0.
5
Suppose -2*a**5 + 362*a**4 - 1074*a**3 + 1070*a**2 - 356*a = 0. What is a?
0, 1, 178
Find j, given that j**2/6 + 96*j + 13824 = 0.
-288
Factor -2*c**2 - 26*c.
-2*c*(c + 13)
Factor 3*p**3 - 48*p**2 + 240*p - 384.
3*(p - 8)*(p - 4)**2
Let 4*h**4/5 - 96*h**3/5 - 224*h**2/5 + 384*h/5 + 832/5 = 0. Calculate h.
-2, 2, 26
Solve -p**3/6 - 17*p**2 - 867*p/2 = 0 for p.
-51, 0
Solve -4*c**4/3 - 128*c**3 - 376*c**2 - 1120*c/3 - 124 = 0 for c.
-93, -1
Suppose -k**5/8 - 3*k**4/8 + 5*k**3/8 + 3*k**2/8 - k/2 = 0. What is k?
-4, -1, 0, 1
Factor -4*y**2 + 1680*y - 1676.
-4*(y - 419)*(y - 1)
Let -3*u**2/4 + 9*u/4 - 3/2 = 0. What is u?
1, 2
Factor -2*y**3/7 - 60*y**2/7.
-2*y**2*(y + 30)/7
Factor d**3/5 - 6*d**2 + 129*d/5 - 20.
(d - 25)*(d - 4)*(d - 1)/5
Let 3*w**5 + 169*w**4 + 2405*w**3 + 615*w**2 - 2408*w - 784 = 0. What is w?
-28, -1, -1/3, 1
Factor 3*b**2 - 108*b + 972.
3*(b - 18)**2
Find x, given that 14*x**2/3 - 1970*x/3 - 188 = 0.
-2/7, 141
Determine n so that 15*n**3/2 - 55*n**2/2 + 25*n/2 + 15/2 = 0.
-1/3, 1, 3
Solve t**2/6 + 30*t + 179/6 = 0.
-179, -1
What is r in 17*r**5 - 49*r**4 + 45*r**3 - 11*r**2 - 2*r = 0?
-2/17, 0, 1
Factor -54*o**3/7 - 650*o**2/7 - 1968*o/7 - 72/7.
-2*(o + 6)**2*(27*o + 1)/7
Factor i**4/4 + 4*i**3 + 15*i**2/4.
i**2*(i + 1)*(i + 15)/4
Factor 6*i**3 - 76*i**2 + 190*i + 72.
2*(i - 9)*(i - 4)*(3*i + 1)
What is y in y**2 - 443*y + 882 = 0?
2, 441
Factor -2*g**4 - 18*g**3 - 4*g**2 + 96*g.
-2*g*(g - 2)*(g + 3)*(g + 8)
Determine w, given that -6*w**4 - 38*w**3 + 16*w**2 + 248*w - 160 = 0.
-5, -4, 2/3, 2
Let a**2/3 + 13*a/3 + 22/3 = 0. Calculate a.
-11, -2
Factor 3*m**4 + 18*m**3 + 36*m**2 + 30*m + 9.
3*(m + 1)**3*(m + 3)
What is o in -2*o**5/9 - 34*o**4/9 - 16*o**3/9 + 280*o**2/9 + 128*o/3 = 0?
-16, -2, 0, 3
Find z, given that -2*z**3/5 + 14*z/5 - 12/5 = 0.
-3, 1, 2
Factor -3*x**4 + 21*x**3 + 81*x**2 + 87*x + 30.
-3*(x - 10)*(x + 1)**3
Suppose 4*n**3 + 784*n**2 - 3184*n + 3200 = 0. Calculate n.
-200, 2
Determine p so that 16*p**4 - 240*p**3 + 1012*p**2 - 840*p + 196 = 0.
1/2, 7
Factor -4*l**3 - 112*l**2.
-4*l**2*(l + 28)
Determine n, given that -3*n**2/5 + 2136*n/5 + 8592/5 = 0.
-4, 716
Factor -2*s**4 + 50*s**3 - 132*s**2.
-2*s**2*(s - 22)*(s - 3)
Factor 36*o**5 - 3108*o**4 + 88744*o**3 - 817800*o**2 - 575244*o - 97556.
4*(o - 29)**3*(3*o + 1)**2
Solve -14*s**4/5 - 207*s**3/5 + 801*s**2/5 - 162*s/5 = 0.
-18, 0, 3/14, 3
Suppose -2*a**3 - 78*a**2 - 196*a + 720 = 0. What is a?
-36, -5, 2
Factor 3*z**3 - 1644*z**2.
3*z**2*(z - 548)
Solve 2*r**5/9 + 2*r**4 + 16*r**3/9 = 0 for r.
-8, -1, 0
Let -f**2 - 360*f - 359 = 0. What is f?
-359, -1
What is f in -4*f**2 - 128*f + 740 = 0?
-37, 5
Factor -3*i**4/7 + 18*i**2/7 - 24*i/7 + 9/7.
-3*(i - 1)**3*(i + 3)/7
Find n, given that -2*n**2/3 + 904*n + 5432/3 = 0.
-2, 1358
Solve v**3 - 3417*v**2 = 0.
0, 3417
Find d such that -28*d**2 + 80*d - 48 = 0.
6/7, 2
Factor -578*c**3/9 + 1292*c**2/9 - 280*c/9 + 16/9.
-2*(c - 2)*(17*c - 2)**2/9
Find s, given that s**2 - 10*s - 11 = 0.
-1, 11
Solve 3*x**5 - 9588*x**4 + 11491218*x**3 - 6120988788*x**2 + 1222667510403*x = 0 for x.
0, 799
Determine z so that -5*z**3 - 275*z**2 - 1515*z - 2205 = 0.
-49, -3
Factor -9*q**3 + 654*q**2 - 429*q - 216.
-3*(q - 72)*(q - 1)*(3*q + 1)
Find s, given that -4*s**5 + 8*s**4 + 80*s**3 + 96*s**2 = 0.
-2, 0, 6
Find f, given that f**5/8 - f**4/2 - 5*f**3/2 - 5*f**2/4 + 19*f/8 + 7/4 = 0.
-2, -1, 1, 7
Factor 3*j**2/5 + 7836*j/5 + 5116908/5.
3*(j + 1306)**2/5
Find x, given that -9*x**2/7 - 933*x/7 + 312/7 = 0.
-104, 1/3
What is z in z**4 - 1336*z**3 + 444886*z**2 + 893784*z + 447561 = 0?
-1, 669
Factor 5*d**3/2 + 405*d**2 + 1605*d/2 + 400.
5*(d + 1)**2*(d + 160)/2
Factor -4*o**4 + 36*o**3 - 84*o**2 + 76*o - 24.
-4*(o - 6)*(o - 1)**3
Suppose 72*j**3 - 672*j**2 + 218*j - 18 = 0. Calculate j.
1/6, 9
Determine g, given that -1666*g**2 + 1670*g - 4 = 0.
2/833, 1
Let -3*f**4/7 + 60*f**3/7 - 234*f**2/7 + 108*f/7 + 405/7 = 0. What is f?
-1, 3, 15
Factor -4*a**3/5 + 14*a**2/5 + 8*a/5.
-2*a*(a - 4)*(2*a + 1)/5
Determine d, given that 12*d**5 - 16*d**4 - 160*d**3 + 448*d + 256 = 0.
-2, -2/3, 2, 4
Determine g, given that 2*g**2/7 - 36*g/7 - 80/7 = 0.
-2, 20
What is o in -2*o**2/19 - 14380*o/19 - 25848050/19 = 0?
-3595
Let -3*c**5/7 - 117*c**4/7 + 1731*c**3/7 + 76917*c**2/7 - 1728*c/7 - 76800/7 = 0. What is c?
-32, -1, 1, 25
Factor -o**2/3 + 155*o/3 - 250.
-(o - 150)*(o - 5)/3
Factor 10*f**3/3 + 41*f**2/3 + 44*f/3 + 4/3.
(f + 2)**2*(10*f + 1)/3
Suppose -2*r**5/7 - 2*r**4/7 + 6*r**3/7 + 2*r**2/7 - 4*r/7 = 0. What is r?
-2, -1, 0, 1
Find b, given that 2*b**5/9 + 4*b**4/9 = 0.
-2, 0
Determine c, given that -2*c**3/5 - 116*c**2/5 - 182*c - 1372/5 = 0.
-49, -7, -2
Factor -297*q**2/2 + 291*q/2 + 3.
-3*(q - 1)*(99*q + 2)/2
Determine k so that -10*k**5 + 55*k**4 - 80*k**3 + 5*k**2 + 30*k = 0.
-1/2, 0, 1, 2, 3
Let -4*q**4 + 364*q**3 = 0. What is q?
0, 91
Factor 867*o**3/2 + 33915*o**2 + 7962*o + 468.
3*(o + 78)*(17*o + 2)**2/2
Factor 5*z**4 + 190*z**3 + 540*z**2 + 530*z + 175.
5*(z + 1)**3*(z + 35)
Suppose -x**2/4 - 19*x/4 + 23 = 0. Calculate x.
-23, 4
Let 9*l**5/8 + 39*l**4 - 4001*l**3/8 + 2037*l**2/2 - 1477*l/2 + 180 = 0. What is l?
-45, 2/3, 1, 8
Factor -3*t**3 - 450*t**2 + 7776*t - 31872.
-3*(t - 8)**2*(t + 166)
Suppose -5*o**3/8 + 489*o**2/4 - 11907*o/2 - 2401 = 0. What is o?
-2/5, 98
Factor -1280*z**3 + 2400*z**2 + 315*z + 10.
-5*(z - 2)*(16*z + 1)**2
Suppose -2*n**4 + 113*n**3 + 174*n**2 + n - 58 = 0. Calculate n.
-1, 1/2, 58
Determine x, given that 11*x**3 - 662*x**2 + 120*x = 0.
0, 2/11, 60
Factor 3*g**2/5 - 9*g + 108/5.
3*(g - 12)*(g - 3)/5
Factor -2*p**3/5 + 18*p**2/5 + 96*p/5 + 104/5.
-2*(p - 13)*(p + 2)**2/5
Determine n so that -n**3 - 38*n**2 + 79*n - 40 = 0.
-40, 1
Factor -2*j**3 - 4*j**2 + 26*j - 20.
-2*(j - 2)*(j - 1)*(j + 5)
Factor h**2 - 18*h + 17.
(h - 17)*(h - 1)
Let -3*i**4/2 - 525*i**3/2 - 2067*i**2/2 - 2571*i/2 - 513 = 0. What is i?
-171, -2, -1
Find u such that 10*u**3 + 178*u**2 - 228*u = 0.
-19, 0, 6/5
Solve -18*b**2/19 - 40*b/19 - 8/19 = 0.
-2, -2/9
Factor 2*r**3/9 + 16*r**2/9 + 14*r/9.
2*r*(r + 1)*(r + 7)/9
Suppose -f**2/6 + 401*f/3 - 160801/6 = 0. Calculate f.
401
Factor 51*r**2/7 + 1014*r/7 - 120/7.
3*(r + 20)*(17*r - 2)/7
Factor 3*p**4/8 - 3*p**3/4 - 15*p**2/8 + 9*p/4.
3*p*(p - 3)*(p - 1)*(p + 2)/8
What is j in 2*j**3/5 + 99*j**2/5 - 368*j/5 + 159/5 = 0?
-53, 1/2, 3
Suppose -3*k**2/2 + 279*k + 3564 = 0. Calculate k.
-12, 198
Determine y so that 5*y**4 - 120*y**3 + 325*y**2 - 210*y = 0.
0, 1, 2, 21
Factor -3*x**3 + 228*x**2 - 4551*x + 8214.
-3*(x - 37)**2*(x - 2)
Factor -2*n**5/5 + 12*n**4/5 - 24*n**3/5 + 16*n**2/5.
-2*n**2*(n - 2)**3/5
Solve 665*h**3 - 2505*h**2 - 630*h + 40 = 0.
-2/7, 1/19, 4
Determine f so that 2*f**3 + 12*f**2 + 18*f = 0.
-3, 0
Let 3*y**2/2 - 93*y = 0. What is y?
0, 62
Solve t**5 + 5*t**4 + 4*t**3 - 16*t**2 - 32*t - 16 = 0 for t.
-2, -1, 2
Determine b, given that 2*b**5 + 2*b**4 - 10*b**3 - 2*b**2 + 16*b - 8 = 0.
-2, 1
Determine o, given that -2*o**3/9 - 44*o**2/3 - 518*o/3 + 21904/9 = 0.
-37, 8
Determine h so that -2*h**5/3 - h**4/3 + 5*h**3/3 - 2*h**2/3 = 0.
-2, 0, 1/2, 1
What is j in -2*j**2/3 + 16*j/3 - 8 = 0?
2, 6
Solve -4*c**3 - 32*c**2 - 80*c - 64 = 0 for c.
-4, -2
Factor -z**3 - 4*z**2 + 80*z - 192.
-(z - 4)**2*(z + 12)
Factor -3*o**2 + 81*o + 174.
-3*(o - 29)*(o + 2)
Solve -2*y**4/17 - 8*y**3/17 - 10*y**2/17 - 4*y/17 = 0 for y.
-2, -1, 0
Find s, given that 55*s**3 - 120*s**2 - 1300*s + 240 = 0.
-4, 2/11, 6
Let -2*z**3 - 33*z**2/4 - 7*z - 3/4 = 0. Calculate z.
-3, -1, -1/8
Determine y, given that 12*y**3/7 - 20*y**2/7 - 8*y/7 = 0.
-1/3, 0, 2
Factor 2*v**4/5 + 28*v**3/5 + 72*v**2/5 - 432*v/5 - 1728/5.
2*