/2 - 81*u/2 - 25.
-(3*u + 2)*(3*u + 25)/2
Let -2*b**2 + 82*b = 0. What is b?
0, 41
Factor -2*x**2 + 12*x + 54.
-2*(x - 9)*(x + 3)
Solve 16*x**5/11 + 56*x**4/11 + 25*x**3/11 + 3*x**2/11 = 0 for x.
-3, -1/4, 0
Let 2*c**3/9 + 104*c**2/9 + 1186*c/9 - 1292/9 = 0. What is c?
-34, -19, 1
Suppose -d**5 + 41*d**4 - 111*d**3 - 121*d**2 + 260*d + 228 = 0. Calculate d.
-1, 2, 3, 38
Solve 2*s**3 + 42*s**2 + 198*s + 270 = 0.
-15, -3
Factor -t**3 + 159*t**2 - 8427*t + 148877.
-(t - 53)**3
Let 2*a**4/9 + 434*a**3/9 - 448*a**2/9 - 872*a/3 = 0. Calculate a.
-218, -2, 0, 3
Factor 4*f**5 - 36*f**4 - 4*f**3 + 36*f**2.
4*f**2*(f - 9)*(f - 1)*(f + 1)
Factor -3*o**4 + 519*o**3 + 528*o**2 - 1044*o.
-3*o*(o - 174)*(o - 1)*(o + 2)
Find r such that -5*r**3 + 105*r**2 - 190*r = 0.
0, 2, 19
Factor 4*p**3/3 - 572*p**2/3 + 6720*p + 6912.
4*(p - 72)**2*(p + 1)/3
Solve -3*q**3 + 6*q**2 + 12*q - 24 = 0 for q.
-2, 2
Factor 2*g**5/7 + 20*g**4/7 + 62*g**3/7 + 52*g**2/7 - 8*g - 80/7.
2*(g - 1)*(g + 2)**3*(g + 5)/7
Suppose 3*b**3 - 51*b**2 + 132*b - 84 = 0. What is b?
1, 2, 14
Let -d**5/4 + 11*d**4/4 - 9*d**3/4 - 11*d**2/4 + 5*d/2 = 0. What is d?
-1, 0, 1, 10
Factor -2*v**3/7 + 384*v**2/7 - 18432*v/7.
-2*v*(v - 96)**2/7
Factor t**2 - 3*t - 18.
(t - 6)*(t + 3)
Factor s**2/3 + 28*s/3 + 25.
(s + 3)*(s + 25)/3
Factor -3*h**3 + 78*h**2 + 3*h - 78.
-3*(h - 26)*(h - 1)*(h + 1)
Factor 4*t**3 + 208*t**2.
4*t**2*(t + 52)
Suppose w**4/4 - 27*w**3/2 + 673*w**2/4 + 378*w + 196 = 0. What is w?
-1, 28
Let -3*a**4 + 24*a**3 - 57*a**2 + 36*a = 0. What is a?
0, 1, 3, 4
Factor -v**2 + 2026*v - 1026169.
-(v - 1013)**2
What is s in 3*s**3 - 27*s**2 + 69*s - 45 = 0?
1, 3, 5
Solve -2*v**2/9 + 224*v/9 + 226/9 = 0.
-1, 113
Let -q**4/2 + 27*q**3/2 - 105*q**2 + 50*q + 1500 = 0. What is q?
-3, 10
Let -4*a**3 + 1252*a**2 - 97340*a - 98596 = 0. Calculate a.
-1, 157
Find i, given that i**4 - 15*i**3 + 32*i**2 + 48*i = 0.
-1, 0, 4, 12
Factor -5*b**3 + 60*b - 80.
-5*(b - 2)**2*(b + 4)
Factor 2*d**2/7 + 160*d/7 + 3200/7.
2*(d + 40)**2/7
Factor -y**4 + 17*y**3 - 80*y**2 + 100*y.
-y*(y - 10)*(y - 5)*(y - 2)
Suppose 5*f**4 - 35*f**3 - 65*f**2 + 515*f - 420 = 0. What is f?
-4, 1, 3, 7
Factor 2*g**4/9 + 8*g**3/3 - 52*g**2 - 360*g + 4050.
2*(g - 9)**2*(g + 15)**2/9
Let 3*s**2 + 8010*s + 5346675 = 0. What is s?
-1335
Factor 2*y**2/7 + 46*y/7 + 44/7.
2*(y + 1)*(y + 22)/7
What is n in -5*n**4 - 51*n**3 - 51*n**2 + 31*n + 36 = 0?
-9, -1, 4/5
Determine z so that -2*z**2 + 29624*z - 109697672 = 0.
7406
Find i such that -4*i**5 - 176*i**4 - 1540*i**3 + 9000*i**2 - 3456*i - 13824 = 0.
-24, -1, 2, 3
Factor -p**2/2 + 38*p/5 - 3/2.
-(p - 15)*(5*p - 1)/10
Factor 3*q**3 - 39*q**2 + 141*q - 105.
3*(q - 7)*(q - 5)*(q - 1)
Factor -2*u**2 - 16*u + 96.
-2*(u - 4)*(u + 12)
Solve 122412*y**2/7 - 3636*y/7 + 27/7 = 0 for y.
3/202
Let -p**3 - 104*p**2 + p + 104 = 0. Calculate p.
-104, -1, 1
Let 2*a**3/7 - 158*a**2/7 - 46*a - 162/7 = 0. Calculate a.
-1, 81
Find y, given that 6*y**4 + 37*y**3 - 180*y**2 - 247*y - 36 = 0.
-9, -1, -1/6, 4
Find w such that -40*w**3/9 - 106*w**2/3 + 370*w/9 - 8 = 0.
-9, 1/4, 4/5
Factor -w**3 - 190*w**2 - 377*w - 188.
-(w + 1)**2*(w + 188)
Suppose -7442*c**5/7 - 854*c**4 + 1262*c**3 + 5906*c**2/7 - 1392*c/7 + 72/7 = 0. Calculate c.
-1, 6/61, 1
Find y, given that y**5/3 - y**4/3 - y**3 + y**2/3 + 2*y/3 = 0.
-1, 0, 1, 2
Factor -y**2/4 - 333*y/2 + 667/4.
-(y - 1)*(y + 667)/4
Factor -x**2 + 162*x.
-x*(x - 162)
What is z in -z**2/4 - 1021*z/2 - 1042441/4 = 0?
-1021
Let -3*r**3 + 891*r**2 - 88209*r + 2910897 = 0. Calculate r.
99
Factor 2*a**3 + 40*a**2 + 102*a.
2*a*(a + 3)*(a + 17)
Determine z, given that -2*z**2 - 50*z + 1200 = 0.
-40, 15
What is x in -3*x**2 + 1923*x - 1920 = 0?
1, 640
Find c such that 5*c**3 - 25*c**2 - 1430*c - 1400 = 0.
-14, -1, 20
Factor -4*v**4 + 332*v**3 - 5580*v**2 - 56700*v.
-4*v*(v - 45)**2*(v + 7)
Let -2*s**2 - 86*s - 84 = 0. What is s?
-42, -1
Factor -2*i**2/5 - 8*i + 88/5.
-2*(i - 2)*(i + 22)/5
Determine w, given that 3*w**4/5 - 69*w**3/5 + 468*w**2/5 - 132*w - 240 = 0.
-1, 4, 10
Factor -n**2 + 120*n - 3600.
-(n - 60)**2
Find k such that -2*k**5 - 4*k**4 + 54*k**3 + 16*k**2 - 136*k - 96 = 0.
-6, -1, 2, 4
Determine a, given that -3*a**2 + 99*a = 0.
0, 33
What is u in 140*u**5 - 730*u**4 - 7285*u**3/4 + 1915*u**2/4 + 145*u - 35 = 0?
-2, -2/7, 1/4, 7
Suppose 3*b**3/5 - 17757*b**2/5 + 35034561*b/5 - 23041062951/5 = 0. What is b?
1973
Factor -2*o**2/7 - 12*o - 160/7.
-2*(o + 2)*(o + 40)/7
Factor 5*v**3 + 6*v**2 + v.
v*(v + 1)*(5*v + 1)
Factor f**2/5 - 763*f/5.
f*(f - 763)/5
Factor -52*o**4 - 2072*o**3 + 320*o**2.
-4*o**2*(o + 40)*(13*o - 2)
Factor -2*m**5 - 3182*m**4 - 1267230*m**3 - 1264050*m**2.
-2*m**2*(m + 1)*(m + 795)**2
Factor -v**4 + 16*v**3 - 63*v**2 + 92*v - 44.
-(v - 11)*(v - 2)**2*(v - 1)
Solve 4*t**4/3 - 6848*t**3/3 + 2930944*t**2/3 = 0.
0, 856
Factor -2*i**2/11 + 32*i/11.
-2*i*(i - 16)/11
Suppose -28*y**3 - 144*y**2 + 988*y + 144 = 0. Calculate y.
-9, -1/7, 4
Find f, given that -4*f**3/11 + 278*f**2 - 585224*f/11 + 291848/11 = 0.
1/2, 382
Factor -3*w**5/2 + 120*w**4 - 4551*w**3/2 - 5043*w**2.
-3*w**2*(w - 41)**2*(w + 2)/2
Factor -y**5 + 8*y**4 + 57*y**3 + 100*y**2 + 52*y.
-y*(y - 13)*(y + 1)*(y + 2)**2
Determine k so that 63*k**4 + 8376*k**3 - 8847*k**2 - 396*k + 804 = 0.
-134, -2/7, 1/3, 1
Suppose 2*j**2/13 - 142*j/13 = 0. What is j?
0, 71
Solve 3*o**5 + 225*o**4/7 - 87*o**3/7 - 225*o**2/7 + 66*o/7 = 0.
-11, -1, 0, 2/7, 1
Let 980*l**5 - 88060*l**4 + 2633405*l**3 - 26082450*l**2 - 3766500*l - 135000 = 0. Calculate l.
-1/14, 30
Factor 28*g**5 + 372*g**4 + 1616*g**3 + 3008*g**2 + 2304*g + 448.
4*(g + 2)**3*(g + 7)*(7*g + 2)
Factor 2*n**2 - 16*n - 18.
2*(n - 9)*(n + 1)
Factor 55*b**2 - 325*b - 30.
5*(b - 6)*(11*b + 1)
Factor -3*n**3/8 - 18*n**2 - 288*n - 1536.
-3*(n + 16)**3/8
Let l**5/3 + 23*l**4/3 + 39*l**3 + 73*l**2/3 - 118*l/3 - 32 = 0. Calculate l.
-16, -6, -1, 1
Factor q**4/4 - 17*q**3/4 + 75*q**2/4 - 99*q/4.
q*(q - 11)*(q - 3)**2/4
Factor 5*k**3 - 85*k**2 - 2320*k - 10560.
5*(k - 33)*(k + 8)**2
Factor -2*d**3 + 32*d**2/3 - 104*d/9 + 32/9.
-2*(d - 4)*(3*d - 2)**2/9
Determine z so that -2*z**2/17 - 8*z/17 + 1792/17 = 0.
-32, 28
Solve 2*z**3 + 1982*z**2 - 3970*z + 1986 = 0.
-993, 1
Factor -4*d**5 + 48*d**4 - 224*d**3 + 512*d**2 - 576*d + 256.
-4*(d - 4)*(d - 2)**4
Factor 4*s**4 + 180*s**3 - 672*s**2 - 4288*s + 15360.
4*(s - 4)**2*(s + 5)*(s + 48)
Factor -5*a**2 - 14860*a - 14855.
-5*(a + 1)*(a + 2971)
Factor -169209038*r**4/5 + 2312652*r**3/5 - 10536*r**2/5 + 16*r/5.
-2*r*(439*r - 2)**3/5
Factor -2*y**3/7 + 5476*y**2/7 - 3748322*y/7.
-2*y*(y - 1369)**2/7
Factor 2*h**5 - 4*h**4 - 6*h**3 + 16*h**2 - 8*h.
2*h*(h - 2)*(h - 1)**2*(h + 2)
Solve -n**5 - 24*n**4 + 51*n**3 - 26*n**2 = 0.
-26, 0, 1
Factor -3*f**2 + 10896*f - 9893568.
-3*(f - 1816)**2
Factor 2*f**3 + 98*f**2 + 96*f.
2*f*(f + 1)*(f + 48)
Factor -2*g**3/15 + 22*g**2/15 + 2*g/15 - 22/15.
-2*(g - 11)*(g - 1)*(g + 1)/15
Factor 4*s**3 + 2204*s**2 + 302496*s - 304704.
4*(s - 1)*(s + 276)**2
Let -3*l**3 - 9*l**2 + 12 = 0. Calculate l.
-2, 1
Let -m**4 - 38*m**3 + 40*m**2 + 38*m - 39 = 0. Calculate m.
-39, -1, 1
Find z such that 16*z**3/5 - 284*z**2/5 + 1472*z/5 - 1792/5 = 0.
7/4, 8
Suppose -q**5/6 - q**4 + 13*q**3/3 - 2*q**2 - 25*q/6 + 3 = 0. Calculate q.
-9, -1, 1, 2
Factor -3*z**4/4 - 93*z**3/4 - 705*z**2/4 - 1575*z/4.
-3*z*(z + 5)**2*(z + 21)/4
Suppose -2*r**4 - 90*r**3 + 94*r**2 + 90*r - 92 = 0. What is r?
-46, -1, 1
Factor -4*l**2 - 16*l + 48.
-4*(l - 2)*(l + 6)
Factor 14*m**4/3 + 10*m**3/3.
2*m**3*(7*m + 5)/3
Determine s so that -3*s**5 + 3501*s**4 - 1016154*s**3 - 3069498*s**2 - 3076515*s - 1026675 = 0.
-1, 585
Let 2*i**3 - 24*i**2 - 2*i + 24 = 0. Calculate i.
-1, 1, 12
Let -3*y**4 + 6*y**3 + 39*y**2 + 30*y = 0. Calculate y.
-2, -1, 0, 5
Determine b, given that -12*b**3 + 501*b**2 + 1182*b + 264 = 0.
-2, -1/4, 44
Factor -2*s**4 - 676*s**3 + 1358*s**2 - 680*s.
-2*s*(s - 1)**2*(s + 340)
Factor -4*t**2 - 252*t - 248.
-4*(t + 1)*(t + 62)
Factor 95*y**4 + 130*y**3.
5*y**3*(19*y + 26)
Let -5*i**4 - 15*i**3 + 5*i**2 + 15*i = 0. Calculate i.
-3, -1, 0, 1
Let -53*w**2/5 + 139*w - 78/5 = 0. Calculate w.
6/53, 13
Determine y, given that -4*y**5 + 78*y**4 - 462*y**3 + 490*y**2 + 2058*y = 0.
-3/2, 0, 7
Let q**4/7 + 119*q**3 - 7551*q**2/7 