*v**3/2 + 6*v**2 - 9*v/2.
-3*v*(v - 3)*(v - 1)/2
Find d, given that 4*d**4 + 92*d**3 + 456*d**2 - 1152*d - 3456 = 0.
-12, -2, 3
Factor 2428*m**2/3 - 2420*m/3 - 8/3.
4*(m - 1)*(607*m + 2)/3
Let -4*i**5 + 36*i**3 - 16*i**2 - 48*i = 0. What is i?
-3, -1, 0, 2
Let -v**4/2 - 127*v**3/3 + 58*v**2 + 172*v/3 = 0. Calculate v.
-86, -2/3, 0, 2
Factor 100*w**4/3 - 140*w**3 + 481*w**2/3 - 28*w + 4/3.
(w - 2)**2*(10*w - 1)**2/3
Suppose 2*v**4/3 - 4*v**3/3 - 26*v**2/3 + 76*v/3 - 16 = 0. What is v?
-4, 1, 2, 3
Suppose -2*y**2/3 + 8956*y/3 - 10026242/3 = 0. What is y?
2239
Solve 5*d**4 - 230*d**3 + 1240*d**2 - 1600*d = 0.
0, 2, 4, 40
Factor 6*x**4/11 + 240*x**3/11 + 312*x**2/11 - 48672*x/11.
6*x*(x - 12)*(x + 26)**2/11
Determine z so that 3*z**2/2 - 27*z = 0.
0, 18
Solve -17*u**2 - 869*u - 102 = 0 for u.
-51, -2/17
Suppose -16*w**3 + 236*w**2 - 720*w - 972 = 0. What is w?
-1, 27/4, 9
Factor 3*q**2 - 13*q/2.
q*(6*q - 13)/2
Factor 4*y**2 + 4*y - 24.
4*(y - 2)*(y + 3)
Let 2*a**3 + 10*a**2 - 26*a + 14 = 0. Calculate a.
-7, 1
Factor 2*g**3/11 + 4524*g**2/11 + 2558322*g/11.
2*g*(g + 1131)**2/11
Factor q**4/8 - 15*q**3/4 + 29*q**2/8.
q**2*(q - 29)*(q - 1)/8
Suppose -2*v**4 + 66*v**3 - 434*v**2 - 642*v + 1012 = 0. Calculate v.
-2, 1, 11, 23
Determine i, given that -3*i**3 - 12*i**2 + 63*i = 0.
-7, 0, 3
Factor -2*w**2/3 + 140*w/3 + 142/3.
-2*(w - 71)*(w + 1)/3
Factor 5*o**2 - 30*o - 135.
5*(o - 9)*(o + 3)
Factor 2*b**3 - 26*b**2 - 28*b.
2*b*(b - 14)*(b + 1)
Factor -12*t**3 + 272*t**2 - 412*t - 168.
-4*(t - 21)*(t - 2)*(3*t + 1)
What is p in -p**5/3 + 2*p**4 - 2*p**3 - 16*p**2/3 + 5*p + 6 = 0?
-1, 2, 3
Factor 3*n**2 - 3930*n + 3927.
3*(n - 1309)*(n - 1)
Factor 4*d**2/5 - 44*d/5 + 24.
4*(d - 6)*(d - 5)/5
Let -5*w**5 + 265*w**4 - 4115*w**3 + 22955*w**2 - 34600*w + 15500 = 0. Calculate w.
1, 10, 31
Solve 3*l**5/5 + 12*l**4/5 - 123*l**3/5 - 216*l**2/5 + 324*l - 1296/5 = 0 for l.
-6, 1, 3, 4
Factor -2*z**3 - 68*z**2/5 + 14*z/5.
-2*z*(z + 7)*(5*z - 1)/5
Suppose 15*a**3 + 9*a**2 - 6*a = 0. What is a?
-1, 0, 2/5
Factor -2*h**2 + 320*h + 648.
-2*(h - 162)*(h + 2)
Factor b**5 + 131*b**4 + 258*b**3 - 2*b**2 - 259*b - 129.
(b - 1)*(b + 1)**3*(b + 129)
Suppose -a**5/3 + 1156*a**4/3 - 167042*a**3 + 96550276*a**2/3 - 6975757441*a/3 = 0. What is a?
0, 289
Factor -4*q**3/3 - 172*q**2/3 - 832*q/3 + 8112.
-4*(q - 9)*(q + 26)**2/3
What is a in -3*a**5 + 21*a**4 - 33*a**3 + 15*a**2 = 0?
0, 1, 5
Let z**2/4 + 425*z/4 = 0. Calculate z.
-425, 0
Let 16*i**5/5 - 84*i**4/5 - 204*i**3/5 + 56*i**2/5 = 0. Calculate i.
-2, 0, 1/4, 7
Solve a**4/6 + 8*a**3 + 149*a**2/2 + 764*a/3 + 296 = 0 for a.
-37, -4, -3
Find x, given that -4*x**3/5 + 932*x**2/5 + 7648*x/5 + 15424/5 = 0.
-4, 241
Factor 40*m**5 + 5*m**4.
5*m**4*(8*m + 1)
Factor -2*f**5/3 - 1850*f**4/3 - 190344*f**3 - 59005408*f**2/3 - 58436224*f/3.
-2*f*(f + 1)*(f + 308)**3/3
Factor 2*i**5/5 + 1474*i**4/5 + 273788*i**3/5 + 162508*i**2 + 809602*i/5 + 269378/5.
2*(i + 1)**3*(i + 367)**2/5
Find f such that 2*f**2 + 2*f - 12 = 0.
-3, 2
Factor 7*a**5 - 215*a**4 + 2248*a**3 - 8440*a**2 + 4400*a + 2000.
(a - 10)**3*(a - 1)*(7*a + 2)
Factor -l**3 - 81*l**2 + 426*l - 344.
-(l - 4)*(l - 1)*(l + 86)
Factor -2*w**2/5 + 6*w + 32/5.
-2*(w - 16)*(w + 1)/5
Find p such that 5*p**5 + 10*p**4 - 75*p**3 - 180*p**2 = 0.
-3, 0, 4
Factor 4*g**3/7 - 148*g**2/7 - 4*g/7 + 148/7.
4*(g - 37)*(g - 1)*(g + 1)/7
Factor -14*f**3 + 106*f**2 + 1210*f/7 + 450/7.
-2*(f - 9)*(7*f + 5)**2/7
What is j in -j**4/5 + j**3/5 + 9*j**2/5 - 9*j/5 = 0?
-3, 0, 1, 3
Solve -2*l**2/9 + 142*l/3 + 428/9 = 0 for l.
-1, 214
Let 4*t**5/3 - 172*t**4/3 + 2476*t**3/3 - 13732*t**2/3 + 29920*t/3 - 18496/3 = 0. What is t?
1, 4, 17
Let 3*j**2/2 + 99*j/2 + 93 = 0. What is j?
-31, -2
Factor -11045*d**2 - 23500*d - 12500.
-5*(47*d + 50)**2
Determine m so that -13*m**2 - 46*m + 24 = 0.
-4, 6/13
Solve -g**2/2 + 21*g/2 + 176 = 0 for g.
-11, 32
Suppose -5*j**4 + 20*j**3 - 30*j**2 + 20*j - 5 = 0. What is j?
1
Find d such that 633*d**3 + 1320*d**2 + 741*d + 54 = 0.
-1, -18/211
What is q in -3*q**2 + 78*q - 495 = 0?
11, 15
Let -p**4/2 + 2*p**3 - 3*p**2 + 2*p - 1/2 = 0. Calculate p.
1
Determine r so that -r**4 + 11*r**3 + 90*r**2 - 1100*r + 1000 = 0.
-10, 1, 10
Factor -2652*w**2 + 7960*w - 12.
-4*(w - 3)*(663*w - 1)
Determine y so that -4*y**5/7 - 76*y**4 - 26112*y**3/7 - 545632*y**2/7 - 3458752*y/7 + 16036032/7 = 0.
-34, 3
Factor n**2/3 - 2*n/3.
n*(n - 2)/3
Let 2*s**5 + 222*s**4 - 226*s**3 - 222*s**2 + 224*s = 0. What is s?
-112, -1, 0, 1
Find t, given that 5*t**5 + 5*t**4 - 70*t**3 - 140*t**2 + 40*t + 160 = 0.
-2, 1, 4
Let 2*t**3/7 - 106*t**2/7 - 18*t/7 + 954/7 = 0. Calculate t.
-3, 3, 53
Factor 6*k**2/7 - 228*k/7 + 2166/7.
6*(k - 19)**2/7
Factor -2*z**3 - 20*z**2/3 + 54*z + 56/3.
-2*(z - 4)*(z + 7)*(3*z + 1)/3
Factor 2*a**3/17 - 1480*a**2/17 - 4458*a/17.
2*a*(a - 743)*(a + 3)/17
Factor 4*b**3 - 52*b**2 + 176*b - 128.
4*(b - 8)*(b - 4)*(b - 1)
Find y such that y**5/2 - 11*y**4/2 + 17*y**3 - 23*y**2 + 29*y/2 - 7/2 = 0.
1, 7
Factor -5*c**5 - 10395*c**4 + 20805*c**3 - 10405*c**2.
-5*c**2*(c - 1)**2*(c + 2081)
Factor a**3/6 - 32*a**2/3 + 341*a/6 + 203/3.
(a - 58)*(a - 7)*(a + 1)/6
What is o in 3*o**5 - 282*o**4 + 8004*o**3 - 39576*o**2 - 776832*o - 1886592 = 0?
-4, 34
Factor q**4 - 601*q**3/2 + 30150*q**2 - 1015000*q + 500000.
(q - 100)**3*(2*q - 1)/2
Find b such that 2*b**2/19 + 72*b/19 + 648/19 = 0.
-18
Factor 5*p**5/7 + 8*p**4/7 + p**3/7 - 2*p**2/7.
p**2*(p + 1)**2*(5*p - 2)/7
Factor -5*r**2 - 70*r + 75.
-5*(r - 1)*(r + 15)
Solve -2*n**2/5 - 256*n/5 - 8192/5 = 0.
-64
Factor i**3/3 - 17*i**2/3 + 21*i + 27.
(i - 9)**2*(i + 1)/3
Factor -l**2/3 - 43*l + 130/3.
-(l - 1)*(l + 130)/3
Find y such that -y**3/2 + 43*y**2 - 85*y/2 = 0.
0, 1, 85
Find z, given that z**4 - 3*z**3/2 + z/2 = 0.
-1/2, 0, 1
Determine q, given that -486*q**3 + 316548*q**2 - 68726088*q + 14921197328/3 = 0.
1954/9
Factor 4*u**4/3 - u**3 - 4*u**2/3 + u.
u*(u - 1)*(u + 1)*(4*u - 3)/3
Factor n**2 + 17*n + 42.
(n + 3)*(n + 14)
What is z in 3*z**5/7 - 12*z**4/7 - 48*z**3/7 + 66*z**2/7 + 45*z/7 - 54/7 = 0?
-3, -1, 1, 6
Factor 3*i**2 + 108*i + 465.
3*(i + 5)*(i + 31)
Determine c so that 5*c**3 + 25*c**2 - 30*c = 0.
-6, 0, 1
Suppose -2*l**2/3 - 152*l/3 - 930 = 0. Calculate l.
-45, -31
Factor 5*y**4 + 20*y**3 - 15*y**2 - 50*y + 40.
5*(y - 1)**2*(y + 2)*(y + 4)
Determine a, given that -a**4/4 + 5*a**3/2 - 8*a**2 + 8*a = 0.
0, 2, 4
Factor f**4/4 - f**3/4 - 27*f**2/4 + 81*f/4 - 27/2.
(f - 3)**2*(f - 1)*(f + 6)/4
Let 3*q**5 - 24*q**4 + 66*q**3 - 84*q**2 + 51*q - 12 = 0. What is q?
1, 4
Factor -2*v**2/13 - 1406*v/13 + 2820/13.
-2*(v - 2)*(v + 705)/13
Factor 4*o**3/5 - 4*o/5.
4*o*(o - 1)*(o + 1)/5
Suppose 3*s**4/7 - 6*s**3/7 - 213*s**2/7 + 216*s/7 = 0. What is s?
-8, 0, 1, 9
Factor -n**4/3 + 17*n**3/9 + 3*n**2 + 7*n/9.
-n*(n - 7)*(n + 1)*(3*n + 1)/9
Factor -2*n**3 - 6*n**2 + 12*n + 16.
-2*(n - 2)*(n + 1)*(n + 4)
What is j in 5*j**5 - 250*j**4 + 2415*j**3 - 5130*j**2 = 0?
0, 3, 9, 38
Suppose -524*c**3/5 + 4*c**2/5 = 0. Calculate c.
0, 1/131
Factor h**2/5 - 2*h/5 - 8/5.
(h - 4)*(h + 2)/5
Solve f**3/7 - 28*f**2 + 1372*f = 0.
0, 98
Let -s**2 - 100*s - 2500 = 0. Calculate s.
-50
Factor l**4/4 - 49*l**3/2 + 97*l**2/4.
l**2*(l - 97)*(l - 1)/4
Factor 2*v**2 - 68*v - 144.
2*(v - 36)*(v + 2)
Factor -2*s**2/5 + 12*s/5.
-2*s*(s - 6)/5
What is n in 3*n**2/4 + 1263*n/2 = 0?
-842, 0
Find r such that 4*r**5 - 2180*r**4 - 4372*r**3 - 2188*r**2 = 0.
-1, 0, 547
What is n in 2*n**4/9 + 14*n**3/3 + 82*n**2/3 + 310*n/9 - 200/3 = 0?
-12, -5, 1
Solve 4*u**3/3 + 32*u**2 + 620*u/3 + 176 = 0 for u.
-12, -11, -1
Determine f so that f**3/3 - 3*f**2 - 124*f/3 - 68 = 0.
-6, -2, 17
Solve 4*h**3 - 64*h**2 - 228*h = 0 for h.
-3, 0, 19
Factor -q**5 + 53*q**4 - 970*q**3 + 6698*q**2 - 10693*q + 4913.
-(q - 17)**3*(q - 1)**2
Find w, given that -w**2/2 - 2*w - 3/2 = 0.
-3, -1
Solve 3*f**4 - 60*f**3 - 132*f**2 = 0.
-2, 0, 22
Factor 2*z**2/11 + 304*z/11 + 600/11.
2*(z + 2)*(z + 150)/11
Let c**5 + 8*c**4 + 15*c**3 - 8*c**2 - 16*c = 0. Calculate c.
-4, -1, 0, 1
Factor 3*r**5 - 42*r**4 + 39*r**3.
3*r**3*(r - 13)*(r - 1)
Factor 3*o**3 - 18*o**2 - 27*o + 42.
3*(o - 7)*(o - 1)*(o + 2)
Factor -4*m**4/5 - 19*m**3/5 - 11*m**2/5 + 4*m/5.
-m*(m + 1)*(m + 4)*(4*m - 1)/5
Determine o so that -5*o**3 - 6060*o**2 - 12105*o -