-j**3/4 + 209*j**2/4 - 415*j/4 + 207/4.
-(j - 207)*(j - 1)**2/4
Factor -23*g**2 - 40*g + 12.
-(g + 2)*(23*g - 6)
Suppose -6*o**5 + 16*o**4 + 16*o**3 - 28*o**2 - 10*o + 12 = 0. Calculate o.
-1, 2/3, 1, 3
Solve -v**4/3 + 4*v**3/3 + 118*v**2/3 - 4*v/3 - 39 = 0.
-9, -1, 1, 13
Determine r, given that 2*r**3 - 180*r**2 + 4386*r - 14792 = 0.
4, 43
Determine r, given that -r**2 + 96*r = 0.
0, 96
Find i such that -80*i**3 - 520*i**2 - 245*i - 30 = 0.
-6, -1/4
Suppose -5*q**4/3 + 235*q**3 - 465*q**2 + 695*q/3 = 0. Calculate q.
0, 1, 139
Determine z so that 3*z**4 - 51*z**3 - 237*z**2 - 309*z - 126 = 0.
-2, -1, 21
Factor -34*f**2/9 - 32*f/9 + 2/9.
-2*(f + 1)*(17*f - 1)/9
Factor v**2 - 13*v - 48.
(v - 16)*(v + 3)
Factor -4*p**2/7 + 696*p/7.
-4*p*(p - 174)/7
What is b in -b**5/2 + 51*b**4/2 - 881*b**3/2 + 6937*b**2/2 - 12789*b + 17836 = 0?
4, 7, 26
Determine a, given that -2*a**2 + 10*a - 8 = 0.
1, 4
Factor 6*l**2/5 + 54*l/5 - 816/5.
6*(l - 8)*(l + 17)/5
Suppose -18*l**5 - 249*l**4 + 96*l**3 + 783*l**2 + 372*l - 84 = 0. Calculate l.
-14, -1, 1/6, 2
Solve 2*k**2/5 + 44*k/5 + 114/5 = 0 for k.
-19, -3
Find x, given that -4*x**2 - 312*x - 6084 = 0.
-39
Suppose -3*n**3/7 - 57*n**2/7 - 36*n = 0. Calculate n.
-12, -7, 0
What is c in -c**2/8 + 11*c/2 - 57/2 = 0?
6, 38
Factor -a**3 + a**2 + 40*a - 112.
-(a - 4)**2*(a + 7)
Let -d**5 - 5*d**4 - 6*d**3 + 2*d**2 + 7*d + 3 = 0. What is d?
-3, -1, 1
Factor -2*a**3/7 - 36*a**2/7 + 384*a/7 - 832/7.
-2*(a - 4)**2*(a + 26)/7
Suppose -9*z**5/7 + 24*z**4/7 + 53*z**3/7 - 8*z**2/7 - 44*z/7 - 16/7 = 0. Calculate z.
-1, -2/3, 1, 4
Determine a, given that 2*a**5/9 - 766*a**4/9 + 72958*a**3/9 + 74494*a**2/9 - 24320*a/3 - 8192 = 0.
-1, 1, 192
Let -8*h**4 + 18*h**3 + 20*h**2 - 6*h = 0. Calculate h.
-1, 0, 1/4, 3
Factor 3*r**2 - 396*r + 13068.
3*(r - 66)**2
Solve -5*b**5 + 2865*b**4 - 616330*b**3 + 59097610*b**2 - 2149292145*b + 2090808005 = 0.
1, 143
Let t**3 - 11*t**2 - 25*t - 13 = 0. What is t?
-1, 13
Factor -21*d**2/4 + 111*d/4 - 15/2.
-3*(d - 5)*(7*d - 2)/4
Factor -4*h**4 + 2360*h**3 - 348100*h**2.
-4*h**2*(h - 295)**2
Factor 3*p**2/4 + 2907*p + 2816883.
3*(p + 1938)**2/4
What is v in -10*v**2 - 36*v - 18 = 0?
-3, -3/5
Factor 16*m**3 - 28*m**2 - 10808*m - 2700.
4*(m - 27)*(m + 25)*(4*m + 1)
Factor -4*f**2 + 32*f.
-4*f*(f - 8)
Determine v, given that -v**2/2 - 2185*v - 4774225/2 = 0.
-2185
Factor -21*m**3 - 108*m**2 - 141*m - 18.
-3*(m + 2)*(m + 3)*(7*m + 1)
Determine x so that -3*x**5/4 + 33*x**4/4 - 57*x**3/2 + 51*x**2/2 + 117*x/4 - 135/4 = 0.
-1, 1, 3, 5
Let 2*t**4 - 492*t**3 + 30250*t**2 + 1968*t - 121032 = 0. What is t?
-2, 2, 123
Factor -t**5 - 2*t**4 + t**3 + 2*t**2.
-t**2*(t - 1)*(t + 1)*(t + 2)
Determine z, given that -z**3/8 - 5*z**2/8 - z - 1/2 = 0.
-2, -1
What is f in 46*f**5 + 318*f**4 + 340*f**3 - 768*f**2 + 64*f = 0?
-4, 0, 2/23, 1
Determine y so that 3*y**3/5 - 1022*y**2/5 + 17476*y - 11560 = 0.
2/3, 170
Factor -y**4/3 - 120*y**3 - 14400*y**2 - 576000*y.
-y*(y + 120)**3/3
Find l, given that l**2 + 4*l - 5 = 0.
-5, 1
Suppose -d**4/4 - 611*d**3/4 - 31059*d**2 - 2091204*d + 2122416 = 0. Calculate d.
-204, 1
Determine p, given that -3*p**5 + 39*p**4 - 93*p**3 + 21*p**2 + 96*p - 60 = 0.
-1, 1, 2, 10
Factor t**2 + 97*t + 96.
(t + 1)*(t + 96)
Suppose q**5/7 + 18*q**4/7 + 15*q**3/7 - 34*q**2/7 = 0. What is q?
-17, -2, 0, 1
Find p such that -2*p**5 - 8*p**4 - 2*p**3 + 12*p**2 = 0.
-3, -2, 0, 1
Let -2*f**3/7 - 44*f**2/7 - 242*f/7 = 0. What is f?
-11, 0
Factor 4*j**4 + 160*j**3 + 2400*j**2 + 16000*j + 40000.
4*(j + 10)**4
Factor 3*g**3/2 - 177*g**2/2 + 246*g + 336.
3*(g - 56)*(g - 4)*(g + 1)/2
Factor -2*r**2/21 + 262*r/21 + 76/3.
-2*(r - 133)*(r + 2)/21
Factor -2*b**2 + 12*b + 14.
-2*(b - 7)*(b + 1)
Factor -2*i**3 + 120*i**2 + 246*i + 124.
-2*(i - 62)*(i + 1)**2
Solve -2*y**4/7 + 2*y**3/7 + 26*y**2/7 - 2*y/7 - 24/7 = 0.
-3, -1, 1, 4
Find l such that l**2/5 - 22*l/5 + 8 = 0.
2, 20
Solve -2*x**5 - 8*x**4 - 8*x**3 + 4*x**2 + 10*x + 4 = 0.
-2, -1, 1
Suppose 5*d**5 + 50*d**4 + 155*d**3 + 110*d**2 - 160*d - 160 = 0. What is d?
-4, -2, -1, 1
Factor z**3/3 - 9*z**2 - 40*z - 124/3.
(z - 31)*(z + 2)**2/3
Determine w, given that -3*w**5/2 - 21*w**4 - 147*w**3/2 - 54*w**2 = 0.
-9, -4, -1, 0
Factor 6*p**3 + 248*p**2 - 1896*p + 1152.
2*(p - 6)*(p + 48)*(3*p - 2)
Factor 5*h**2 + 80*h + 75.
5*(h + 1)*(h + 15)
Factor 2*a**2 - 120*a - 378.
2*(a - 63)*(a + 3)
Find c such that -4*c**3 + 116*c**2 + 64*c - 1856 = 0.
-4, 4, 29
Factor 3*y**2 - 2208*y + 406272.
3*(y - 368)**2
Determine r, given that -4*r**3 + 12072*r**2 - 12069*r + 3017 = 0.
1/2, 3017
Let 3*k**2/4 - 3*k/2 - 105/4 = 0. Calculate k.
-5, 7
Factor -y**4/4 + 13*y**3/4 - 8*y**2 + 5*y.
-y*(y - 10)*(y - 2)*(y - 1)/4
Find b, given that 2*b**4 - 82*b**3 - 852*b**2 + 44288*b + 45056 = 0.
-22, -1, 32
What is b in -3*b**3/5 + 24*b**2/5 + 237*b/5 + 42 = 0?
-5, -1, 14
Factor 21632*z**4/9 + 22048*z**3/9 + 418*z**2/9 + 2*z/9.
2*z*(z + 1)*(104*z + 1)**2/9
Determine k so that -3*k**5/2 - 15*k**4/2 - 6*k**3 = 0.
-4, -1, 0
Let 13*w**3/4 + 37*w**2/4 - 29*w/2 + 2 = 0. Calculate w.
-4, 2/13, 1
Factor -4*b**3 - 36*b**2 + 4*b + 36.
-4*(b - 1)*(b + 1)*(b + 9)
Solve -3*p**2 + 63*p - 240 = 0 for p.
5, 16
Find y, given that 21*y**3/5 + 54*y**2/5 + 3*y - 18/5 = 0.
-2, -1, 3/7
Factor -b**2 + 149*b/3 + 50/3.
-(b - 50)*(3*b + 1)/3
Suppose -2*d**3 + 148*d**2 - 2880*d + 5184 = 0. What is d?
2, 36
Factor 3*m**2 + 2417*m - 806.
(m + 806)*(3*m - 1)
Suppose 5*l**4 - 70*l**3 + 175*l**2 - 110*l = 0. Calculate l.
0, 1, 2, 11
Determine j, given that -j**5 - 17*j**4 + 61*j**3 + 17*j**2 - 60*j = 0.
-20, -1, 0, 1, 3
Find m, given that 5*m**5/3 - 5*m**3 + 10*m**2/3 = 0.
-2, 0, 1
Factor 4*y**5 + 348*y**4 + 6048*y**3.
4*y**3*(y + 24)*(y + 63)
Factor d**3/2 - 9*d**2/4 - 19*d/2 + 21/4.
(d - 7)*(d + 3)*(2*d - 1)/4
Factor -2*x**3 - 50*x**2 + 292*x - 240.
-2*(x - 4)*(x - 1)*(x + 30)
Suppose -r**2 - 50*r + 51 = 0. Calculate r.
-51, 1
Solve -n**2/2 - 45*n/2 + 47 = 0 for n.
-47, 2
Suppose -20*l**3 - 125*l**2 - 205*l - 100 = 0. What is l?
-4, -5/4, -1
Factor -39*g**2 - 10329*g + 1590.
-3*(g + 265)*(13*g - 2)
Let -26*t**3/7 + 152*t**2/7 + 24*t/7 = 0. Calculate t.
-2/13, 0, 6
Factor 2*q**2/11 + 72*q/11 + 136/11.
2*(q + 2)*(q + 34)/11
Determine q so that -2*q**2/9 + 34*q/9 + 4 = 0.
-1, 18
Factor 15*r**5 + 201*r**4 - 126*r**3.
3*r**3*(r + 14)*(5*r - 3)
Factor -2*v**5/9 + 10*v**4/9 + 2*v**3 - 18*v**2 + 24*v.
-2*v*(v - 3)**3*(v + 4)/9
Solve -z**5/2 + 17*z**3 + 46*z**2 + 87*z/2 + 14 = 0.
-4, -1, 7
Suppose 5*x**4 - 40*x**3 + 75*x**2 = 0. Calculate x.
0, 3, 5
Factor 3*n**2/5 - 4842*n + 9768735.
3*(n - 4035)**2/5
Factor 2*q**3 + 1710*q**2 - 6864*q + 6872.
2*(q - 2)**2*(q + 859)
Factor 5*o**3 - 315*o**2 - 11760*o - 89180.
5*(o - 91)*(o + 14)**2
Let 11094*w**2 - 387*w + 27/8 = 0. What is w?
3/172
Factor -9*i**5/7 + 6*i**4/7 + 3*i**3/7.
-3*i**3*(i - 1)*(3*i + 1)/7
Suppose 39*a**3/2 + 513*a**2/2 + 39*a = 0. What is a?
-13, -2/13, 0
Suppose -5*s**2 + 110*s - 605 = 0. Calculate s.
11
Suppose h**5/2 + 11*h**4/2 + 41*h**3/2 + 61*h**2/2 + 15*h = 0. What is h?
-5, -3, -2, -1, 0
Let -3*l**2 + 891*l - 8610 = 0. Calculate l.
10, 287
Let 6*r**2 + 4461*r + 2229 = 0. Calculate r.
-743, -1/2
Factor 2*u**4/3 - 4*u**3 + 6*u**2 - 8*u/3.
2*u*(u - 4)*(u - 1)**2/3
Factor n**4/3 + 26*n**3/3 + 47*n**2 - 364*n/3 + 196/3.
(n - 1)**2*(n + 14)**2/3
Solve 36*m**2 + 404*m + 88 = 0.
-11, -2/9
Let -7*f**3/6 - f**2/3 + 56*f/3 + 16/3 = 0. What is f?
-4, -2/7, 4
Factor z**4/3 + 20*z**3/3 - 23*z**2/3 - 14*z.
z*(z - 2)*(z + 1)*(z + 21)/3
Let -3*k**4/5 + 3*k**2/5 = 0. Calculate k.
-1, 0, 1
Suppose j**3/5 - 53*j**2/5 + 696*j/5 = 0. What is j?
0, 24, 29
Factor -68921*k**3/4 + 25215*k**2/2 - 3075*k + 250.
-(41*k - 10)**3/4
Solve -2*i**4/7 - 30*i**3/7 + 288*i**2/7 - 440*i/7 = 0.
-22, 0, 2, 5
Factor -q**4/2 - 26*q**3 + 139*q**2 - 198*q + 171/2.
-(q - 3)*(q - 1)**2*(q + 57)/2
Suppose -5*l**3 - 60*l**2 + 65*l = 0. What is l?
-13, 0, 1
Suppose 2*y**3 - 2*y**2 - 32*y - 40 = 0. Calculate y.
-2, 5
Factor -2*m**2/7 - 22*m/7 + 12.
-2*(m - 3)*(m + 14)/7
Let 2*g**3 + 22*g**2 - 80*g + 56 = 0. Calculate g.
-14, 1, 2
Find h such that -4*h**2/7 + 1320*h/7 - 188 = 0.
1, 329
Suppose -1323*w**3 - 1197*w**2 + 123*w - 3 = 0. What is w?
-1, 1/21
Factor s**4/11 - 304*s**3/11 - 3744*s**2/11 - 15104*s/11 - 20224/