-1, 3
Let 4*y**2 + 452*y + 448 = 0. Calculate y.
-112, -1
Factor 17*x**5 - 104*x**4 + 12*x**3.
x**3*(x - 6)*(17*x - 2)
Let 3*o**3 - 84*o**2 + 225*o = 0. Calculate o.
0, 3, 25
Find d such that 2*d**2/7 - 374*d/7 + 372/7 = 0.
1, 186
Factor 5*u**4 + 15*u**3 - 30*u**2 - 40*u.
5*u*(u - 2)*(u + 1)*(u + 4)
Let 16*s**4 - 116*s**3 + 284*s**2 - 256*s + 48 = 0. Calculate s.
1/4, 2, 3
Factor -w**2 + 12*w - 35.
-(w - 7)*(w - 5)
Let -9*k**2/5 - 2068*k/5 + 92 = 0. Calculate k.
-230, 2/9
Factor -u**3/4 + 7*u**2/4 - 9.
-(u - 6)*(u - 3)*(u + 2)/4
What is h in 3*h**3 - 171*h - 168 = 0?
-7, -1, 8
Let 3*y**3 - 72*y**2 + 351*y + 1014 = 0. Calculate y.
-2, 13
Factor 5*n**2 - 40*n + 80.
5*(n - 4)**2
Find r, given that 85*r**4/4 - 45*r**3 - 65*r**2/4 + 45*r - 5 = 0.
-1, 2/17, 1, 2
Find r, given that r**4/5 + r**3/5 - 6*r**2 = 0.
-6, 0, 5
Suppose j**2/4 + 95*j/4 = 0. Calculate j.
-95, 0
Determine c so that 35*c**2/6 - 145*c/3 + 40/3 = 0.
2/7, 8
What is n in -n**5/4 - 57*n**4/4 - 210*n**3 - 196*n**2 = 0?
-28, -1, 0
Let 5*l**3 - 145*l**2 + 975*l + 1125 = 0. What is l?
-1, 15
Factor -c**2/6 + 23*c/6.
-c*(c - 23)/6
What is o in o**3/6 + 3*o**2 + 11*o/2 + 8/3 = 0?
-16, -1
Factor -5*b**2/6 + 17*b/6 - 1.
-(b - 3)*(5*b - 2)/6
Let -o**5 + 79*o**4 - 2106*o**3 + 19604*o**2 - 17576*o = 0. Calculate o.
0, 1, 26
Factor 6*q**5/7 - 12*q**4/7 - 18*q**3/7 + 24*q**2/7 + 24*q/7.
6*q*(q - 2)**2*(q + 1)**2/7
What is d in -d**2/4 - 1284*d = 0?
-5136, 0
Factor 3*h**4/2 - 99*h**2 - 240*h + 675/2.
3*(h - 9)*(h - 1)*(h + 5)**2/2
Find w such that -4*w**3 - 20*w**2 + 32*w + 192 = 0.
-4, 3
Solve -5*j**2 - 80*j - 315 = 0.
-9, -7
Factor -2*s**5 - 8*s**4 + 276*s**3 - 760*s**2 + 734*s - 240.
-2*(s - 8)*(s - 1)**3*(s + 15)
What is t in 2*t**4 - 332*t**3/3 + 3422*t**2/3 - 3464*t + 1032 = 0?
1/3, 6, 43
Factor -c**5/4 - 4*c**4 - 22*c**3 - 56*c**2 - 68*c - 32.
-(c + 2)**4*(c + 8)/4
Determine p, given that -5*p**3 - 815*p**2 + 10320*p - 31500 = 0.
-175, 6
Factor 3*d**2 - 114*d + 891.
3*(d - 27)*(d - 11)
Find z such that -3*z**5 + 378*z**4 - 747*z**3 + 372*z**2 = 0.
0, 1, 124
Suppose -2*k**3 - 156*k**2 - 1222*k + 1380 = 0. Calculate k.
-69, -10, 1
Factor -2*t**2/9 - 7108*t/9 + 790.
-2*(t - 1)*(t + 3555)/9
Factor 5*c**2 + 585*c.
5*c*(c + 117)
Factor 2*g**4/3 - 4*g**3 - 10*g**2 - 16*g/3.
2*g*(g - 8)*(g + 1)**2/3
Factor -t**2/4 + t + 3.
-(t - 6)*(t + 2)/4
What is t in -21*t**5/2 - 249*t**4 - 1440*t**3 + 432*t**2 = 0?
-12, 0, 2/7
Find q, given that 5*q**5 - 5*q**4 - 15*q**3 + 25*q**2 - 10*q = 0.
-2, 0, 1
Factor -3*o**3 + 126*o**2 + 273*o - 396.
-3*(o - 44)*(o - 1)*(o + 3)
Suppose 16*t**5 - 40*t**4 + 9*t**3 + 13*t**2 + 2*t = 0. Calculate t.
-1/4, 0, 1, 2
Solve 214*o**4/7 + 638*o**3/7 + 416*o**2/7 - 8*o/7 = 0.
-2, -1, 0, 2/107
Solve 24*o**4 - 628*o**3 + 1732*o**2 + 452*o - 1932 = 0.
-1, 7/6, 3, 23
Find i, given that -4*i**5 + 80*i**4 - 524*i**3 + 1216*i**2 - 768*i = 0.
0, 1, 3, 8
Factor 3*w**2 - 8892*w + 6588972.
3*(w - 1482)**2
Factor 20*v**4/9 + 34*v**3/3 + 62*v**2/3 + 146*v/9 + 14/3.
2*(v + 1)**3*(10*v + 21)/9
Factor -4*c**4 + 104*c**3 - 768*c**2 + 1152*c.
-4*c*(c - 12)**2*(c - 2)
Factor -g**3 + g**2 + 2*g.
-g*(g - 2)*(g + 1)
Find w, given that -2*w**5/5 - 18*w**4/5 - 12*w**3 - 92*w**2/5 - 66*w/5 - 18/5 = 0.
-3, -1
Factor -s**2 + 21*s + 22.
-(s - 22)*(s + 1)
Find b, given that 5*b**2/6 - 50*b/3 - 35/2 = 0.
-1, 21
Find f, given that -f**4/8 + 7*f**3/4 + 339*f**2/8 - 179*f/2 + 91/2 = 0.
-14, 1, 26
What is v in -4*v**4/3 - 16*v**3 + 60*v**2 - 16*v/3 - 80 = 0?
-15, -1, 2
Solve -2*l**4 + 20*l**3 - 26*l**2 - 120*l - 72 = 0 for l.
-1, 6
Suppose -35*o**4 - 830*o**3 + 2025*o**2 - 1420*o + 260 = 0. Calculate o.
-26, 2/7, 1
Determine o, given that -o**3 + 15*o**2 + 177*o + 161 = 0.
-7, -1, 23
Factor 2*b**4 - 192*b**3 + 378*b**2 - 188*b.
2*b*(b - 94)*(b - 1)**2
Factor g**3/5 + 7*g**2/5 - g/5 - 7/5.
(g - 1)*(g + 1)*(g + 7)/5
Suppose 3*n**5 + 48*n**4 - 120*n**3 - 210*n**2 + 117*n + 162 = 0. What is n?
-18, -1, 1, 3
Let -2*n**3/5 + 88*n**2/5 + 18*n = 0. Calculate n.
-1, 0, 45
Factor 2*f**2 + 312*f + 12168.
2*(f + 78)**2
Suppose 9*y**5 - 354*y**4 + 1117*y**3 - 1352*y**2 + 724*y - 144 = 0. What is y?
2/3, 1, 36
Find p such that -3*p**5 - 33*p**4 - 57*p**3 - 27*p**2 = 0.
-9, -1, 0
Solve -4*l**2 + 80*l = 0.
0, 20
Solve 3*h**3/5 - 3*h**2 - 18*h/5 = 0 for h.
-1, 0, 6
Factor -2*s**2 - 146*s + 456.
-2*(s - 3)*(s + 76)
Determine d, given that -d**3 + 20*d**2 + d - 20 = 0.
-1, 1, 20
Solve -d**3/3 + 26*d**2/3 - 35*d - 300 = 0 for d.
-4, 15
What is d in d**2/4 - d/4 - 1/2 = 0?
-1, 2
Factor -140*w**2 + 2925*w + 315.
-5*(w - 21)*(28*w + 3)
Factor 4*j**5 - 36*j**4 + 72*j**3.
4*j**3*(j - 6)*(j - 3)
Suppose -g**4/6 + g**3/6 + 25*g**2/2 + 143*g/6 + 35/3 = 0. Calculate g.
-7, -1, 10
Suppose 25*w**3 + 100*w**2 - 2039*w + 798 = 0. What is w?
-57/5, 2/5, 7
Factor 5*b**3 - 50*b**2 + 160*b - 160.
5*(b - 4)**2*(b - 2)
Factor -5*n**2 - 25*n + 30.
-5*(n - 1)*(n + 6)
Suppose -4*g**5 + 124*g**4 - 1132*g**3 + 2692*g**2 - 2464*g + 784 = 0. Calculate g.
1, 14
Factor -n**2/2 - 11*n - 117/2.
-(n + 9)*(n + 13)/2
Let -u**3 - 10*u**2 - 19*u + 30 = 0. What is u?
-6, -5, 1
What is x in -4*x**3 - 3468*x**2 - 1002252*x - 96550276 = 0?
-289
Solve 2*f**2 + 22140*f + 61272450 = 0 for f.
-5535
Factor w**5 + 3*w**4 - 9*w**3 + 5*w**2.
w**2*(w - 1)**2*(w + 5)
Determine s, given that 4*s**5/3 - 80*s**4/3 - 49*s**3 + 7261*s**2/3 - 7112*s/3 + 588 = 0.
-9, 1/2, 14
Factor -621*h**4/5 - 1869*h**3/5 - 1881*h**2/5 - 639*h/5 - 6/5.
-3*(h + 1)**3*(207*h + 2)/5
Find x, given that -2*x**2/3 + 36*x + 1904/3 = 0.
-14, 68
Factor -2*g**4/5 + 16*g**3/5 + 38*g**2/5 + 4*g.
-2*g*(g - 10)*(g + 1)**2/5
Find c, given that 2*c**4/11 + 294*c**3/11 + 10946*c**2/11 + 10074*c/11 - 21316/11 = 0.
-73, -2, 1
Factor -w**2/3 + 99*w/2 + 149/6.
-(w - 149)*(2*w + 1)/6
Find j such that -2*j**2 - 590*j - 3468 = 0.
-289, -6
Factor -3*z**3 + 21*z**2 + 12*z - 84.
-3*(z - 7)*(z - 2)*(z + 2)
Factor -3*w**3 + 143*w**2 - 724*w + 420.
-(w - 42)*(w - 5)*(3*w - 2)
Factor -2*v**2/9 - 1028*v/9 - 132098/9.
-2*(v + 257)**2/9
What is q in 3*q**5 - 36*q**4 + 114*q**3 + 144*q**2 - 1269*q + 1620 = 0?
-3, 3, 4, 5
Factor t**3/7 + 46*t**2/7 + 52*t - 4056/7.
(t - 6)*(t + 26)**2/7
Find u, given that 2*u**3 + 176*u**2 - 360*u = 0.
-90, 0, 2
Determine d so that 2*d**2/5 - 948*d/5 + 112338/5 = 0.
237
Solve -1444*h**3 + 45904*h**2 + 9712*h + 512 = 0 for h.
-2/19, 32
Solve 2*o**5/7 + 344*o**4/7 - 352*o**3/7 - 148*o**2 + 50*o + 692/7 = 0.
-173, -1, 1, 2
Determine f so that -5*f**4 - 530*f**3 - 5865*f**2 - 21400*f - 23500 = 0.
-94, -5, -2
Factor -5476*c**3 - 83916*c**2 - 26784*c - 2160.
-4*(c + 15)*(37*c + 6)**2
Determine h, given that -5*h**5/3 + 185*h**4/3 + 385*h**3/3 + 65*h**2 = 0.
-1, 0, 39
Find h such that 3*h**2 - 96*h - 99 = 0.
-1, 33
Factor 68*d**4 + 280*d**3 + 236*d**2 + 24*d.
4*d*(d + 1)*(d + 3)*(17*d + 2)
Let -a**4/7 - 572*a**3/7 - 81222*a**2/7 + 23452*a - 11767 = 0. Calculate a.
-287, 1
Find b, given that -3*b**3 - 594*b**2 - 33120*b - 355488 = 0.
-92, -14
Find d such that -d**3/5 - 8*d**2/5 + 9*d/5 = 0.
-9, 0, 1
Find t, given that -2*t**4/9 + 8*t**3/9 + 8*t**2/3 = 0.
-2, 0, 6
Find k, given that 2*k**3/9 + 4*k**2/9 - 18*k - 36 = 0.
-9, -2, 9
Find d such that -3*d**4/2 + 39*d**3 - 252*d**2 - 39*d + 507/2 = 0.
-1, 1, 13
Determine i, given that -2*i**2 - 52*i - 50 = 0.
-25, -1
Factor -3*q**5 + 123*q**4 + 153*q**3 - 1167*q**2 + 1398*q - 504.
-3*(q - 42)*(q - 1)**3*(q + 4)
Solve -2*u**5/7 + 3040*u**4/7 - 434*u**3 = 0 for u.
0, 1, 1519
Let t**4/8 + 5*t**3/8 - 17*t**2/4 - 10*t = 0. Calculate t.
-8, -2, 0, 5
Factor -2*j**2/3 + 1714*j/3.
-2*j*(j - 857)/3
Let -2*b**4 + 36*b**3/5 + 26*b**2/5 - 36*b/5 - 16/5 = 0. What is b?
-1, -2/5, 1, 4
Determine y, given that -5*y**3/3 + 28*y**2/3 - 13*y/3 - 10/3 = 0.
-2/5, 1, 5
Let -g**3/2 - 3*g**2/2 - g = 0. What is g?
-2, -1, 0
Let 2*i**4 - 10*i**3 - 108*i**2 + 40*i + 400 = 0. Calculate i.
-5, -2, 2, 10
Factor 4*l**2 + 1264*l - 1268.
4*(l - 1)*(l + 317)
Solve -4*b**3 + 4*b**2 + 24*b = 0 for b.
-2, 0, 3
Find z, given that 2*z**5/7 + 38*z**4/7 + 130*z**3/7 + 22*z**2 + 60*z/7 = 0.
-15, -2, -1, 0
Solve 2*b**5/11 + 14*b**4/11 - 80*b**2/11 - 32*b/11 + 96/11 = 0.
-6, -2, 1, 2
Factor 5*f**2 + 250*f + 245.
5*(f + 1)*(f + 49)
Factor m**2/2 + 20*m + 279/2.
(m + 9)*(m + 31)/2
Factor -19200*c**2 + 5040*c - 1