*3/8 + w**2/2 + w/2 - 2 = 0 for w.
-2, 2, 4
Factor 5*q**5 + 270*q**4 + 5590*q**3 + 54080*q**2 + 230685*q + 285610.
5*(q + 2)*(q + 13)**4
Factor -4*n**2 - 64*n - 60.
-4*(n + 1)*(n + 15)
Factor -2*r**3/5 - 14*r**2 + 146*r/5 - 74/5.
-2*(r - 1)**2*(r + 37)/5
Factor 2*m**2/11 - 52*m + 3718.
2*(m - 143)**2/11
Factor 2*m**2 - 44*m + 170.
2*(m - 17)*(m - 5)
Determine t so that t**5/3 + 2*t**4/3 - t**3/3 - 2*t**2/3 = 0.
-2, -1, 0, 1
What is q in -4*q**3 - 12*q**2 + 16*q = 0?
-4, 0, 1
Solve 3*n**4 - 16*n**3/3 - 4*n**2/3 = 0.
-2/9, 0, 2
Determine q so that 35*q**4 + 1285*q**3 + 2115*q**2 + 515*q - 350 = 0.
-35, -1, 2/7
Let 2*q**2/3 + 304*q/3 - 416 = 0. Calculate q.
-156, 4
Find p such that 3*p**4/4 + 15*p**3/2 - 75*p**2/4 - 15*p/2 + 18 = 0.
-12, -1, 1, 2
Factor 2*x**2 + 172*x - 352.
2*(x - 2)*(x + 88)
Suppose -30*v**5 - 431*v**4 - 1020*v**3 - 902*v**2 - 318*v - 35 = 0. Calculate v.
-35/3, -1, -1/2, -1/5
Factor 2*t**2/3 - 56*t/3 - 40.
2*(t - 30)*(t + 2)/3
Find i such that 3*i**4 + 6*i**3 + 3*i**2 = 0.
-1, 0
Solve 2*b**4/13 + 54*b**3/13 - 114*b**2/13 + 58*b/13 = 0.
-29, 0, 1
Factor 3*c**4 - 7*c**3 - 6*c**2.
c**2*(c - 3)*(3*c + 2)
Factor 3*g**4 - 45*g**3 + 117*g**2 + 705*g - 2700.
3*(g - 9)*(g - 5)**2*(g + 4)
Suppose 3*h**5/7 + 12*h**4/7 - 69*h**3/7 - 162*h**2/7 + 324*h/7 + 648/7 = 0. What is h?
-6, -2, 3
Factor -3*i**2 + 2634*i - 578163.
-3*(i - 439)**2
Factor -2*x**4 - 22*x**3 - 66*x**2 - 10*x + 100.
-2*(x - 1)*(x + 2)*(x + 5)**2
Factor -j**5/4 + 25*j**4/2 - 49*j**3/4.
-j**3*(j - 49)*(j - 1)/4
Find n such that -3*n**4 + 7*n**3 + 43*n**2 - 7*n - 40 = 0.
-8/3, -1, 1, 5
Factor 14*u**2/9 + 704*u/3 - 302/9.
2*(u + 151)*(7*u - 1)/9
Let 3*d**3 + 123*d**2 - 408*d - 528 = 0. Calculate d.
-44, -1, 4
Factor 5*l**4 - 20*l**3 - 30*l**2 + 20*l + 25.
5*(l - 5)*(l - 1)*(l + 1)**2
Factor 2*p**3/5 - 8*p**2/5 + 6*p/5.
2*p*(p - 3)*(p - 1)/5
Solve d**3/5 + 19*d**2/5 + 16*d - 20 = 0.
-10, 1
Suppose g**4 - 113*g**3 - 357*g**2 + 1049*g - 580 = 0. What is g?
-5, 1, 116
Factor -3*y**2/7 - 684*y/7 - 38988/7.
-3*(y + 114)**2/7
Factor 4*z**3/7 + 7524*z**2/7 + 4717548*z/7 + 985967532/7.
4*(z + 627)**3/7
Factor 3*p**2 - 492*p + 20172.
3*(p - 82)**2
Factor -b**2/5 + 5*b.
-b*(b - 25)/5
Factor -f**3/4 + 135*f**2/4 + f/4 - 135/4.
-(f - 135)*(f - 1)*(f + 1)/4
Determine c so that c**2/6 - 7*c/3 - 5/2 = 0.
-1, 15
Factor 13*n**3/6 + 37*n**2/6 - 263*n/3 + 40/3.
(n - 5)*(n + 8)*(13*n - 2)/6
Find n such that 8*n**3 - 19*n**2 - 18*n + 9 = 0.
-1, 3/8, 3
Factor -2*x**2/7 - 38*x.
-2*x*(x + 133)/7
Find s, given that -5*s**5/3 + 55*s**4/3 - 40*s**3 - 20*s**2/3 + 160*s/3 = 0.
-1, 0, 2, 8
Solve -d**2/8 + 39*d/8 + 5 = 0.
-1, 40
Factor -4*o**3 + 1025*o**2 - 65792*o + 16384.
-(o - 128)**2*(4*o - 1)
Find l such that l**2/10 + 52*l/5 + 103/10 = 0.
-103, -1
Let 4*n**2 - 504*n + 500 = 0. What is n?
1, 125
Factor -3*z**3 - 18*z**2 - 24*z.
-3*z*(z + 2)*(z + 4)
Let 4*a**3/3 + 64*a**2/3 + 100*a/3 - 56 = 0. What is a?
-14, -3, 1
Suppose -10*k**4 - 114*k**3 + 1878*k**2/5 + 818*k/5 + 84/5 = 0. Calculate k.
-14, -1/5, 3
Factor 4*v**2 + 80*v - 84.
4*(v - 1)*(v + 21)
Factor -5*f**2 + 1035*f - 2050.
-5*(f - 205)*(f - 2)
Factor -2*o**3/3 - 16*o**2/3 - 10*o/3 + 100/3.
-2*(o - 2)*(o + 5)**2/3
Let 2*r**4 - 30*r**3 + 162*r**2 - 378*r + 324 = 0. What is r?
3, 6
Factor 6*n**2/11 - 1026*n/11 - 3132/11.
6*(n - 174)*(n + 3)/11
What is h in -3*h**4 + 27*h**3 - 9*h**2 - 111*h - 72 = 0?
-1, 3, 8
Factor y**2/8 - 9*y/8 - 81/4.
(y - 18)*(y + 9)/8
What is g in g**2 - 1206*g + 363609 = 0?
603
Factor -2*q**4 - 20*q**3 + 150*q**2 + 1000*q - 5000.
-2*(q - 5)**2*(q + 10)**2
Suppose 2*k**3/3 - 56*k**2/9 - 58*k + 20 = 0. What is k?
-6, 1/3, 15
Factor -2*i**2/11 + 2*i/11 + 24/11.
-2*(i - 4)*(i + 3)/11
Factor -4*b**2/9 + 17864*b/9 - 19945156/9.
-4*(b - 2233)**2/9
Find u, given that -2*u**4/3 - 52*u**3 - 2200*u**2/3 - 2508*u + 3294 = 0.
-61, -9, 1
Find r such that 2*r**2 - 84*r - 86 = 0.
-1, 43
Factor -36*n**2 - 140*n + 16.
-4*(n + 4)*(9*n - 1)
Determine p so that 3*p**3 - 373*p**2/3 + 866*p/3 - 104 = 0.
4/9, 2, 39
Factor v**3/3 + 45*v**2 + 1541*v + 4489/3.
(v + 1)*(v + 67)**2/3
Solve 5*o**5 + 19*o**4 + 11*o**3 - 3*o**2 = 0.
-3, -1, 0, 1/5
Solve -2*t**5/15 - 38*t**4/15 - 112*t**3/15 + 152*t**2/15 + 32*t = 0 for t.
-15, -4, -2, 0, 2
Determine b so that -2*b**2 - 262*b/5 - 52/5 = 0.
-26, -1/5
Factor 3*m**4/2 - 45*m**3/2 + 72*m**2 + 96*m.
3*m*(m - 8)**2*(m + 1)/2
Factor -2*f**2 + 28*f.
-2*f*(f - 14)
Factor -2*t**4 + 240*t**3 - 6956*t**2 - 14640*t - 7442.
-2*(t - 61)**2*(t + 1)**2
Determine l so that 2*l**4 + 6*l**3 + 4*l**2 = 0.
-2, -1, 0
Suppose 2*o**5/9 - 14*o**4/9 + 14*o**3/9 + 46*o**2/9 - 16*o/9 - 32/9 = 0. What is o?
-1, 1, 4
Factor 3*d**5 - 57*d**3 - 102*d**2 + 36*d + 120.
3*(d - 5)*(d - 1)*(d + 2)**3
Let -4*h**5/17 - 962*h**4/17 - 56132*h**3/17 + 205448*h**2/17 - 178608*h/17 = 0. Calculate h.
-122, 0, 3/2, 2
Find c, given that 3*c**4/5 + 33*c**3/5 - 3*c**2/5 - 33*c/5 = 0.
-11, -1, 0, 1
Find p such that -27*p**4/5 + 39*p**3/5 + 234*p**2/5 - 156*p/5 - 504/5 = 0.
-2, -14/9, 2, 3
Factor -n**5 + 401*n**4 - 3555*n**3 + 10611*n**2 - 10584*n.
-n*(n - 392)*(n - 3)**3
Let -5*b**5 - 5*b**4 + 10*b**3 = 0. What is b?
-2, 0, 1
Determine p, given that -3*p**5 + 45*p**4 - 141*p**3 - 141*p**2 + 540*p - 300 = 0.
-2, 1, 5, 10
Factor -5*j**3 + 305*j**2 - 5535*j + 25515.
-5*(j - 27)**2*(j - 7)
Factor 2*d**2/13 + 2734*d/13 + 2732/13.
2*(d + 1)*(d + 1366)/13
Factor -4*p**3 + 116*p**2.
-4*p**2*(p - 29)
Solve -2*t**5/3 + 16*t**4 + 284*t**3/3 + 64*t**2 - 174*t = 0.
-3, 0, 1, 29
Determine x, given that -2*x**4/11 + 202*x**3/11 - 4998*x**2/11 - 5202*x/11 = 0.
-1, 0, 51
Let -2*j**5 + 12*j**4 + 86*j**3 - 32*j**2 - 264*j - 160 = 0. What is j?
-4, -1, 2, 10
Factor w**2/3 - 10*w/3 - 119/3.
(w - 17)*(w + 7)/3
Determine b so that -2*b**5/3 + 8*b**4/3 + 6*b**3 - 80*b**2/3 + 8*b/3 + 32 = 0.
-3, -1, 2, 4
Determine f, given that 2*f**5 + 52*f**4 - 110*f**3 + 56*f**2 = 0.
-28, 0, 1
Solve a**3 + 60*a**2 + 59*a = 0 for a.
-59, -1, 0
What is u in 29*u**4/3 + 383*u**3/9 + 142*u**2/9 + 8*u/9 = 0?
-4, -1/3, -2/29, 0
Suppose -32*a**5/5 - 112*a**4/5 - 82*a**3/5 + 76*a**2/5 + 114*a/5 + 36/5 = 0. What is a?
-2, -1, -3/4, 1
What is a in -2*a**3 + 2*a**2 + 2*a - 2 = 0?
-1, 1
What is g in 2*g**3/3 + 16*g**2/3 - 6*g = 0?
-9, 0, 1
Solve -5*j**4 + 190*j**3 + 825*j**2 + 630*j = 0.
-3, -1, 0, 42
Solve 36*g**5 + 132*g**4 + 148*g**3 + 60*g**2 + 8*g = 0 for g.
-2, -1, -1/3, 0
Let l**4/5 + 3*l**3/5 - 4*l**2/5 = 0. Calculate l.
-4, 0, 1
What is v in 3*v**5/2 - 15*v**4/2 + 21*v**3/2 + 3*v**2/2 - 12*v + 6 = 0?
-1, 1, 2
Factor -w**2/4 + 21*w - 1715/4.
-(w - 49)*(w - 35)/4
Solve 4*u**3 - 128*u**2 - 272*u = 0.
-2, 0, 34
Factor f**3/4 - 27*f**2/4 + 23*f.
f*(f - 23)*(f - 4)/4
Find s such that -120*s**3 + 356*s**2 + 1212*s + 40 = 0.
-2, -1/30, 5
Factor -2*p**4/7 - 366*p**3/7 - 1440*p**2/7 - 1432*p/7.
-2*p*(p + 2)**2*(p + 179)/7
Factor -v**2/4 + 216*v + 865/4.
-(v - 865)*(v + 1)/4
Factor -4*h**3 + 8*h**2 + 80*h + 96.
-4*(h - 6)*(h + 2)**2
Factor -4*p**4 - 4*p**3 + 132*p**2 - 236*p + 112.
-4*(p - 4)*(p - 1)**2*(p + 7)
Suppose -3*u**3 + 243*u**2 - 5265*u + 13689 = 0. Calculate u.
3, 39
Determine x, given that -5*x**3/3 + 1115*x**2/3 - 2215*x/3 + 1105/3 = 0.
1, 221
Solve 2*b**5/9 + 8*b**4/9 - 16*b**3/3 - 172*b**2/9 - 178*b/9 - 20/3 = 0 for b.
-6, -1, 5
Factor -4*g**2 + 56*g - 52.
-4*(g - 13)*(g - 1)
Solve -4*v**5 + 20*v**4 - 16*v**3 - 64*v**2 + 128*v - 64 = 0.
-2, 1, 2
Solve -2*v**4/3 - 10*v**3 - 38*v**2 - 146*v/3 - 20 = 0 for v.
-10, -3, -1
Suppose l**3/2 - 19*l**2/2 - l/2 + 19/2 = 0. Calculate l.
-1, 1, 19
Factor 3362*m**2/13 - 164*m/13 + 2/13.
2*(41*m - 1)**2/13
Factor -5*b**2 - 300*b.
-5*b*(b + 60)
Factor 1500*m**4 - 36450*m**3 + 295245*m**2 - 1594323*m/2.
3*m*(10*m - 81)**3/2
Solve 54*v**3/5 + 3642*v**2 + 12134*v/15 + 674/15 = 0.
-337, -1/9
Factor 10*l**3/7 - 188*l**2/7 - 38*l/7.
2*l*(l - 19)*(5*l + 1)/7
Factor -5*y**3 - 648*y**2 - 20865*y + 8450.
-(y + 65)**2*(5*y - 2)
Solve 2*l**5/15 + 12*l**4/5 - 368*l**3/15 + 1184*l**2/15 - 544*l/5 + 832/15 = 0.
-26, 2
Factor 3*t**2 - 309*t/2 + 153/2.
3*(t - 51)*(2*t - 1)/2
Solve -t**4/3 - 57*t**3 - 7222*t**2/3 + 2580*t + 14792/3 = 0.
-86, -1, 2
Solve -210*k**5 + 25*k**4 + 10*k**3 = 0 for k.
-1/6, 0, 2/7
Factor -2*u**2/17 + 98*u/17 - 188/17.
-2*(u - 47)*(u - 2)/17
Let -3