4)**2/9
Solve 3*v**4/7 + 48*v**3/7 - 228*v**2/7 + 240*v/7 = 0 for v.
-20, 0, 2
Suppose 4*a**5 + 36*a**4 - 36*a**3 - 884*a**2 - 1536*a - 720 = 0. What is a?
-6, -1, 5
Factor -4*h**3 - 232*h**2 + 492*h + 720.
-4*(h - 3)*(h + 1)*(h + 60)
What is s in -s**5/2 + 27*s**4 + 227*s**3/8 - 387*s**2/8 + 55*s/4 = 0?
-2, 0, 1/2, 55
Factor 3*h**4/5 - 108*h**3/5 + 303*h**2/5 - 198*h/5.
3*h*(h - 33)*(h - 2)*(h - 1)/5
Find c, given that -2*c**3 + 68*c**2 - 230*c - 300 = 0.
-1, 5, 30
Solve 2*x**5 + 22*x**4 + 38*x**3 - 230*x**2 - 400*x + 1000 = 0 for x.
-5, 2
Factor -4*h**3/5 - 13644*h**2/5 - 2328348*h - 2325620.
-4*(h + 1)*(h + 1705)**2/5
Find k such that 2*k**3 + 256*k**2 + 8602*k + 86756 = 0.
-82, -23
Solve t**4 - 19*t**3 + 81*t**2 - 29*t - 130 = 0 for t.
-1, 2, 5, 13
Find b, given that -b**4/4 + 35*b**3/4 - 177*b**2/2 + 208*b - 128 = 0.
1, 2, 16
Factor p**3/7 + 144*p**2/7 + 5325*p/7 + 10082/7.
(p + 2)*(p + 71)**2/7
Factor -w**4 - 9*w**3 + 4*w**2 + 36*w.
-w*(w - 2)*(w + 2)*(w + 9)
What is y in -8*y**4/9 + 2*y**3/9 + 8*y**2 - 2*y = 0?
-3, 0, 1/4, 3
Factor -p**2/2 - 8253*p - 68112009/2.
-(p + 8253)**2/2
Factor 2*s**2/13 - 16*s/13.
2*s*(s - 8)/13
What is r in 6*r**5 + 50*r**4 + 392*r**3/3 + 344*r**2/3 + 32*r = 0?
-4, -3, -2/3, 0
Factor 578*w**3/9 + 748*w**2/3 - 30*w + 8/9.
2*(w + 4)*(17*w - 1)**2/9
Find m, given that -m**5/3 - 5*m**4/6 + 11*m**3/6 - 2*m**2/3 = 0.
-4, 0, 1/2, 1
What is a in 63*a**5 - 48*a**4 - 54*a**3 + 48*a**2 - 9*a = 0?
-1, 0, 1/3, 3/7, 1
Determine w, given that -5*w**4/7 - 12*w**3/7 - 9*w**2/7 - 2*w/7 = 0.
-1, -2/5, 0
Let 2*h**5 - 10*h**4 - 538*h**3 - 4070*h**2 - 11600*h - 11000 = 0. Calculate h.
-5, -2, 22
Factor -5*a**2 - 400*a - 395.
-5*(a + 1)*(a + 79)
What is r in -2*r**3/23 + 54*r**2/23 - 148*r/23 + 96/23 = 0?
1, 2, 24
Let -2*n**3/9 - 20*n**2/3 + 800*n/9 = 0. What is n?
-40, 0, 10
Factor -f**3/12 + 797*f**2/12 - 794*f/3 + 793/3.
-(f - 793)*(f - 2)**2/12
Let -512*w**5/9 - 1472*w**4/9 - 278*w**3/3 + 122*w**2/9 - 4*w/9 = 0. Calculate w.
-2, -1, 0, 1/16
Factor 4*o**4/3 + 388*o**3/3 - 16*o**2/3 - 1552*o/3.
4*o*(o - 2)*(o + 2)*(o + 97)/3
Factor -r**3/9 + 2*r**2/3 - 4*r/3 + 8/9.
-(r - 2)**3/9
Determine w so that -4*w**5 + 14*w**4 + 148*w**3 + 46*w**2 - 588*w - 288 = 0.
-3, -1/2, 2, 8
Factor 15*z**4 + 184*z**3 + 213*z**2 + 44*z.
z*(z + 1)*(z + 11)*(15*z + 4)
Find k, given that -k**4/8 - 7*k**3/4 - 13*k**2/2 - 33*k/4 - 27/8 = 0.
-9, -3, -1
Solve -i**2/5 + 456*i/5 + 457/5 = 0 for i.
-1, 457
Find d, given that d**2/3 - 4*d/3 - 5/3 = 0.
-1, 5
Factor 2*y**4/7 - 10230*y**3/7 + 17442150*y**2/7 - 9912955250*y/7.
2*y*(y - 1705)**3/7
Factor -2*h**3 - 22*h**2 + 80*h - 56.
-2*(h - 2)*(h - 1)*(h + 14)
What is j in -j**3/2 + 8*j**2 - 53*j/2 - 35 = 0?
-1, 7, 10
Factor -3*d**2 - 147*d + 150.
-3*(d - 1)*(d + 50)
Factor -w**2/6 - 865*w/6 - 144.
-(w + 1)*(w + 864)/6
Factor 4*y**2/3 - 8*y/3 - 32/3.
4*(y - 4)*(y + 2)/3
Determine q, given that -243*q**5 - 1296*q**4 - 1539*q**3 + 1062*q**2 + 1632*q + 384 = 0.
-8/3, -2/3, -1/3, 1
Solve 2*w**4/7 + 6*w**3/7 - 4*w**2/7 - 24*w/7 - 16/7 = 0 for w.
-2, -1, 2
Factor 2*y**2/5 - 916*y/5 + 104882/5.
2*(y - 229)**2/5
Determine v so that -4*v**3/7 - 20*v**2/7 + 128*v/7 - 144/7 = 0.
-9, 2
Factor j**2/3 - 88*j/3 + 325.
(j - 75)*(j - 13)/3
Find x such that -3*x**4/2 - 3*x**3 + 18*x**2 - 21*x + 15/2 = 0.
-5, 1
Suppose -2*t**3 + 206*t**2 + 1072*t + 864 = 0. What is t?
-4, -1, 108
Factor o**4/7 + 2*o**3 + 36*o**2/7 + 34*o/7 + 11/7.
(o + 1)**3*(o + 11)/7
What is x in 3*x**4/4 + 3*x**3 - 9*x**2 = 0?
-6, 0, 2
Factor 4*i**3/3 + 1820*i**2 + 623796*i + 1855044.
4*(i + 3)*(i + 681)**2/3
Factor -a**4 - 564*a**3 - 119286*a**2 - 11212884*a - 395254161.
-(a + 141)**4
Let -2*s**4/5 + 13962*s**3/5 - 32489574*s**2/5 + 25201079566*s/5 = 0. Calculate s.
0, 2327
Suppose -2*o**2/7 + 412*o/7 - 410/7 = 0. Calculate o.
1, 205
What is b in -b**2/2 - 301*b/2 = 0?
-301, 0
Find k, given that k**4/4 - 27*k**3/2 - 227*k**2/4 - 72*k - 29 = 0.
-2, -1, 58
Factor 4*s**2/7 - 21848*s/7 + 29833444/7.
4*(s - 2731)**2/7
Factor -q**2/8 + 9*q/2.
-q*(q - 36)/8
Solve -12*o**5 - 39*o**4 - 9*o**3 + 48*o**2 + 12*o = 0.
-2, -1/4, 0, 1
What is i in -11858*i**2/13 - 1232*i/13 - 32/13 = 0?
-4/77
Solve -2*u**2/3 - 16*u/3 + 6 = 0 for u.
-9, 1
What is v in 13*v**3/4 + 727*v**2/4 + 2534*v - 196 = 0?
-28, 1/13
Let -s**3/5 + 9*s**2/5 + 154*s/5 + 144/5 = 0. Calculate s.
-8, -1, 18
Suppose 2*a**4/13 + 88*a**3/13 - 186*a**2/13 - 88*a/13 + 184/13 = 0. Calculate a.
-46, -1, 1, 2
Factor 2*l**2 - 80*l - 82.
2*(l - 41)*(l + 1)
Let -4*l**5 + 188*l**4 + 1672*l**3 + 4744*l**2 + 5244*l + 1980 = 0. Calculate l.
-3, -1, 55
Factor 2*y**3/3 - 142*y**2/3 + 412*y/3 - 272/3.
2*(y - 68)*(y - 2)*(y - 1)/3
Factor -i**4/2 + 429*i**3/2 - 30456*i**2 + 1399680*i + 4478976.
-(i - 144)**3*(i + 3)/2
Determine v, given that -10*v**4 - 66*v**3 + 628*v**2 - 240*v = 0.
-12, 0, 2/5, 5
Find g such that -2*g**4/5 + 6*g**3 - 114*g**2/5 - 14*g + 588/5 = 0.
-2, 3, 7
Suppose 5*m**4 + 20*m**3 - 1330*m**2 + 8820*m - 15435 = 0. What is m?
-21, 3, 7
Suppose -507*m**3/2 - 663*m**2 - 336*m - 48 = 0. Calculate m.
-2, -4/13
Factor 243*c**3 - 702*c**2 + 507*c.
3*c*(9*c - 13)**2
Find c such that -2*c**2/5 - 8*c - 30 = 0.
-15, -5
Factor t**5 - 3*t**4 - 23*t**3 - 33*t**2 - 14*t.
t*(t - 7)*(t + 1)**2*(t + 2)
Factor -q**4 + 101*q**3 + q**2 - 101*q.
-q*(q - 101)*(q - 1)*(q + 1)
What is m in 4*m**3 + 590*m**2 - 298*m - 296 = 0?
-148, -1/2, 1
Determine s so that 33*s**2 + 6*s = 0.
-2/11, 0
Determine u, given that 4*u**3 + 8012*u**2 + 8009*u + 2002 = 0.
-2002, -1/2
Factor 32*s**3 - 120528*s**2 + 60258*s - 7532.
2*(s - 3766)*(4*s - 1)**2
Factor 2*i**3/5 - 6*i/5 + 4/5.
2*(i - 1)**2*(i + 2)/5
Solve m**3/3 - 23*m**2/3 - 1232*m/3 - 3332 = 0.
-14, 51
Solve -g**5 - 12*g**4 - 34*g**3 + 12*g**2 + 35*g = 0 for g.
-7, -5, -1, 0, 1
Suppose -u**5/4 - 5*u**4/4 - 3*u**3/2 + u**2/2 + 7*u/4 + 3/4 = 0. What is u?
-3, -1, 1
Determine g so that 51*g**3 + 45*g**2 - 6*g = 0.
-1, 0, 2/17
Factor 3*d**3/2 + 201*d**2/2 + 906*d - 1008.
3*(d - 1)*(d + 12)*(d + 56)/2
Determine s, given that 20*s**5 - 8080*s**4 + 8065*s**3 - 2015*s**2 = 0.
0, 1/2, 403
Solve -r**5/3 + r**4 - 2*r**3/3 - 2*r**2/3 + r - 1/3 = 0.
-1, 1
Factor -g**3/6 + 49*g**2/6 + g/6 - 49/6.
-(g - 49)*(g - 1)*(g + 1)/6
Factor 3*r**2/5 + 21*r/5 + 18/5.
3*(r + 1)*(r + 6)/5
Suppose 3*i**3/4 + 8*i**2 + 19*i/4 - 5/2 = 0. Calculate i.
-10, -1, 1/3
Solve -4*w**3 - 66*w**2 + 106*w - 36 = 0.
-18, 1/2, 1
Suppose 5*l**2 + 5440*l + 5435 = 0. Calculate l.
-1087, -1
Let -3*a**2/5 + 141*a/5 - 138/5 = 0. What is a?
1, 46
Suppose -y**2/4 + 7*y/4 - 5/2 = 0. What is y?
2, 5
Determine o, given that 2*o**3 + 110*o**2 + 1664*o + 4056 = 0.
-26, -3
Find b such that 2*b**3/11 - 494*b**2/11 + 3042*b - 355914/11 = 0.
13, 117
Let 3*q**4 - 24*q**3 - 33*q**2 + 54*q = 0. What is q?
-2, 0, 1, 9
Factor -4*b**4/5 - 32*b**3/5 - 72*b**2/5 - 64*b/5 - 4.
-4*(b + 1)**3*(b + 5)/5
Solve -2*x**3 - 38*x**2 - 140*x = 0 for x.
-14, -5, 0
Factor 2*n**4 - 4*n**3 + 2*n**2.
2*n**2*(n - 1)**2
Determine t so that -20*t**4 - 235*t**3 + 75*t**2 + 180*t = 0.
-12, -3/4, 0, 1
Factor 2*r**4 - 96*r**2 - 256*r.
2*r*(r - 8)*(r + 4)**2
Factor -2*b**5 - 34*b**4 + 36*b**3.
-2*b**3*(b - 1)*(b + 18)
Factor -3*n**4/5 + 10272*n**3/5 - 8792832*n**2/5.
-3*n**2*(n - 1712)**2/5
Find h, given that -2*h**5/7 + 36*h**4/7 - 34*h**3/7 - 1544*h**2/7 + 1056*h/7 + 15488/7 = 0.
-4, 4, 11
Determine q so that q**2/5 + 106*q/5 = 0.
-106, 0
Determine h so that -5*h**3 - 65*h**2 + 320*h - 340 = 0.
-17, 2
Determine d so that -2*d**4 - 17*d**3 - 21*d**2 + d + 7 = 0.
-7, -1, 1/2
What is w in -w**4/4 - 8*w**3 + 41*w**2/4 + 63*w - 99 = 0?
-33, -3, 2
Factor q**5/7 + 5*q**4 + 250*q**3/7 - 970*q**2/7 + 1045*q/7 - 361/7.
(q - 1)**3*(q + 19)**2/7
Factor -y**3/2 - 22*y**2 + 189*y/2 - 72.
-(y - 3)*(y - 1)*(y + 48)/2
Let 4*l**3 - 56*l**2 + 260*l - 400 = 0. What is l?
4, 5
What is g in 2*g**3/7 + 6*g**2 + 288*g/7 + 640/7 = 0?
-8, -5
Determine r so that -6*r**5/5 + 138*r**4/5 + 1014*r**3/5 + 174*r**2 = 0.
-5, -1, 0, 29
Determine t, given that t**3/2 + 8*t**2 - 2*t - 32 = 0.
-16, -2, 2
Factor 3*j**4/7 + 156*j**3/7 + 3042*j**2/7 + 26364*j/7 + 85683/7.
3*(j + 13)**4/7
Solve -2*r**2/11 + 2384*r/11 - 710432/11 = 0.
596
What is u in 4*u**2 - 104*u - 224 = 0?
-2, 28
Determine m so that 3*m**3/7 - 9*m**2 + 384*m/