**3/7 + 781*d**2/7 + 600*d/7 - 172/7.
(d + 1)*(d + 86)*(9*d - 2)/7
Find q such that 2*q**5 - 8*q**4 - 282*q**3 - 1456*q**2 - 2720*q - 1536 = 0.
-4, -3, -1, 16
Find b such that -100*b**2 - 180*b - 81 = 0.
-9/10
Find w such that -4*w**2/5 - 348*w + 3496/5 = 0.
-437, 2
Solve -72*y**4 + 168*y**3 - 26*y**2 - 168*y + 98 = 0.
-1, 1, 7/6
What is c in 3*c**5/2 - 21*c**4/2 - 15*c**3/2 + 225*c**2/2 = 0?
-3, 0, 5
Let -44*f**4 + 1020*f**3 - 5464*f**2 - 5376*f + 1152 = 0. Calculate f.
-1, 2/11, 12
Solve -5*s**3/2 + 605*s**2/2 - 3025*s = 0.
0, 11, 110
Factor -394*m**2 + 3936*m + 40.
-2*(m - 10)*(197*m + 2)
Factor 4*t**3/5 - 4*t**2/5 - 8*t/5.
4*t*(t - 2)*(t + 1)/5
Factor 4*o**3 + 80*o**2 - 300*o - 9000.
4*(o - 10)*(o + 15)**2
Determine v so that -47*v**2/2 - 46*v + 2 = 0.
-2, 2/47
Let 4*a**2/5 + 1774*a/5 - 888/5 = 0. Calculate a.
-444, 1/2
What is t in -3*t**5 + 3*t**4/2 + 9*t**3 + 3*t**2/2 - 3*t = 0?
-1, 0, 1/2, 2
Solve -s**5 - 40*s**4 - 393*s**3 + 274*s**2 + 2560*s - 2400 = 0 for s.
-20, -3, 1, 2
Factor -m**3 - 281*m**2 + 565*m - 283.
-(m - 1)**2*(m + 283)
Find h, given that h**2/2 + 45*h/2 = 0.
-45, 0
Solve 3*x**3/4 - 9*x**2 - 21*x = 0.
-2, 0, 14
Factor 5*q**4 + 305*q**3 + 5290*q**2 + 17920*q - 23520.
5*(q - 1)*(q + 6)*(q + 28)**2
Factor -g**3/5 - 59*g**2/5 + 121*g/5 - 61/5.
-(g - 1)**2*(g + 61)/5
Factor x**5/7 + 6*x**4 + 480*x**3/7 + 1198*x**2/7 + 1119*x/7 + 360/7.
(x + 1)**3*(x + 15)*(x + 24)/7
Factor 18*b**4 + 3*b**3 - 21*b**2.
3*b**2*(b - 1)*(6*b + 7)
Solve 9*z**3/5 - 39*z**2/5 - 9*z/5 + 39/5 = 0 for z.
-1, 1, 13/3
Solve -3*z**4 - 108*z**3 - 207*z**2 - 102*z = 0 for z.
-34, -1, 0
Determine s so that -s**5/2 - 3*s**4 - 5*s**3/2 = 0.
-5, -1, 0
Suppose -3*c**4 - 45*c**3 - 39*c**2 + 45*c + 42 = 0. Calculate c.
-14, -1, 1
Factor 4*w**2 + 48*w - 880.
4*(w - 10)*(w + 22)
Suppose z**2/2 + 4242*z + 8997282 = 0. Calculate z.
-4242
Factor 2*r**2/13 + 56*r + 5096.
2*(r + 182)**2/13
Factor -f**5/3 - 419*f**4/3 - 418*f**3/3.
-f**3*(f + 1)*(f + 418)/3
Solve -w**5 - w**4 + 7*w**3 + w**2 - 6*w = 0.
-3, -1, 0, 1, 2
Factor -2*z**4/11 + 128*z**3/11 - 208*z**2 + 7680*z/11 - 7200/11.
-2*(z - 30)**2*(z - 2)**2/11
Factor -2*d**2/3 + 10*d - 112/3.
-2*(d - 8)*(d - 7)/3
Solve -2*n**4 - 214*n**3/9 + 98*n**2/3 + 146*n/3 - 52/9 = 0 for n.
-13, -1, 1/9, 2
Factor f**4 - 31*f**3 + 50*f**2 + 232*f.
f*(f - 29)*(f - 4)*(f + 2)
Factor l**2 - 184*l - 185.
(l - 185)*(l + 1)
What is z in -3*z**2/4 + 3*z/4 + 15 = 0?
-4, 5
Determine d, given that 2*d**4/7 + 6*d**3/7 - 8*d**2/7 = 0.
-4, 0, 1
Find k such that 2*k**2 - 880*k - 882 = 0.
-1, 441
Solve 2*d**2 + 2420*d + 2418 = 0.
-1209, -1
Factor 2*d**5/7 + 12*d**4/7 - 30*d**3/7 - 200*d**2/7.
2*d**2*(d - 4)*(d + 5)**2/7
Solve 20*n**5 + 175*n**4 + 255*n**3 + 65*n**2 - 35*n = 0.
-7, -1, 0, 1/4
Suppose -k**5/7 - 52*k**4/7 + 162*k**3/7 - 164*k**2/7 + 55*k/7 = 0. Calculate k.
-55, 0, 1
Factor -10*v**4 - 496*v**3 + 200*v**2.
-2*v**2*(v + 50)*(5*v - 2)
Factor -4235*p**3/6 + 825*p**2/2 - 20*p - 40/3.
-5*(7*p + 1)*(11*p - 4)**2/6
Factor -5*m**5 + 25*m**4 - 40*m**3 + 20*m**2.
-5*m**2*(m - 2)**2*(m - 1)
Suppose -3*k**5/2 - 9*k**4 - 12*k**3 + 3*k**2 + 27*k/2 + 6 = 0. What is k?
-4, -1, 1
Factor -2*w**3 + 12*w**2 - 18*w + 8.
-2*(w - 4)*(w - 1)**2
Factor w**2/5 + 61*w.
w*(w + 305)/5
Factor 2*z**5/3 + 202*z**4/3 - 206*z**3 + 622*z**2/3 - 208*z/3.
2*z*(z - 1)**3*(z + 104)/3
Find l, given that -3*l**5/2 + 27*l**4/8 + 21*l**3/4 - 9*l**2/2 - 15*l/4 + 9/8 = 0.
-1, 1/4, 1, 3
Solve 3*n**3 - 2151*n**2 + 514089*n - 40955757 = 0 for n.
239
Suppose -m**5 + 7*m**3 + 6*m**2 = 0. Calculate m.
-2, -1, 0, 3
Suppose 5*y**4 + 55*y**3 + 175*y**2 + 125*y = 0. What is y?
-5, -1, 0
Determine i so that 4*i**3 + 780*i**2 - 784*i = 0.
-196, 0, 1
Factor -4*c**3 + 24*c**2 + 96*c - 256.
-4*(c - 8)*(c - 2)*(c + 4)
Suppose 14*n**3 - 10*n**2 - 4*n = 0. Calculate n.
-2/7, 0, 1
Suppose -8*l**5 - 146*l**4 - 676*l**3 - 16*l**2 + 684*l + 162 = 0. Calculate l.
-9, -1, -1/4, 1
Factor p**3/6 + p**2 + 11*p/6 + 1.
(p + 1)*(p + 2)*(p + 3)/6
Suppose d**3/5 + 81*d**2 + 404*d/5 = 0. Calculate d.
-404, -1, 0
Solve -2*c**2/5 + 344*c - 73960 = 0.
430
Determine m, given that 2*m**2 - 32*m + 30 = 0.
1, 15
Factor -180*q**3 + 13740*q**2 - 4565*q + 380.
-5*(q - 76)*(6*q - 1)**2
Factor -z**4 + 7*z**2 + 6*z.
-z*(z - 3)*(z + 1)*(z + 2)
Factor -4*a**3 + 172*a**2 - 1760*a - 1936.
-4*(a - 22)**2*(a + 1)
Find g such that -g**3 - 5*g**2 - 7*g - 3 = 0.
-3, -1
Factor -3*s**3/7 - 6*s**2/7 + 384*s/7 + 1440/7.
-3*(s - 12)*(s + 4)*(s + 10)/7
What is x in -2*x**2 + 10*x - 12 = 0?
2, 3
Factor f**2/4 - 25*f/4 + 33/2.
(f - 22)*(f - 3)/4
Factor s**3 - 11*s**2 - 2*s + 120.
(s - 10)*(s - 4)*(s + 3)
Solve -2*d**3/9 + 2*d/3 - 4/9 = 0 for d.
-2, 1
Factor -2*t**3 - 28*t**2 - 86*t - 60.
-2*(t + 1)*(t + 3)*(t + 10)
Let 8*v**4/15 - 1262*v**3/3 + 552826*v**2/5 - 145116562*v/15 - 36382894/15 = 0. What is v?
-1/4, 263
Let 35*a**5 + 1830*a**4 + 520*a**3 = 0. Calculate a.
-52, -2/7, 0
What is k in 2*k**2/9 + 76*k + 1360/9 = 0?
-340, -2
Solve -37*t**5 - 113*t**4 - 117*t**3 - 43*t**2 - 2*t = 0.
-1, -2/37, 0
What is l in -5*l**4 - 25*l**3 - 15*l**2 + 45*l = 0?
-3, 0, 1
Determine t, given that 2*t**4/9 - 4*t**3/3 + 26*t**2/9 - 8*t/3 + 8/9 = 0.
1, 2
Solve n**5/5 + n**4/5 - 9*n**3/5 - n**2 + 16*n/5 + 12/5 = 0.
-3, -1, 2
Factor 2*p**3 + 12*p**2 - 8*p - 48.
2*(p - 2)*(p + 2)*(p + 6)
Let -r**3/4 - 865*r**2/4 - 47300*r - 231125 = 0. Calculate r.
-430, -5
Solve r**5/9 + 4*r**4/9 - r**3/3 - 14*r**2/9 - 8*r/9 = 0.
-4, -1, 0, 2
Factor -3*g**4 + 36*g**2 - 48*g.
-3*g*(g - 2)**2*(g + 4)
Suppose x**2/7 + 8686*x/7 + 18861649/7 = 0. What is x?
-4343
Factor l**2/9 - 2*l/3.
l*(l - 6)/9
Solve -3*s**3 + 15*s**2 - 24*s + 12 = 0.
1, 2
Find m such that -4*m**2 + 308*m - 304 = 0.
1, 76
What is m in -20*m**3 + 238*m**2 + 24*m = 0?
-1/10, 0, 12
Factor 3*v**4 + 7542*v**3 + 4740147*v**2.
3*v**2*(v + 1257)**2
What is j in -j**3 - 7*j**2 - 6*j = 0?
-6, -1, 0
What is q in -2*q**4 - 730*q**3/3 - 1196*q**2/3 + 160*q = 0?
-120, -2, 0, 1/3
Let 5*a**2 - 2395*a - 2400 = 0. What is a?
-1, 480
Factor w**5 + 14*w**4 + 73*w**3 + 168*w**2 + 144*w.
w*(w + 3)**2*(w + 4)**2
Factor 45*l**3 - 1635*l**2 + 2120*l - 700.
5*(l - 35)*(3*l - 2)**2
Let -a**5/5 - 2*a**4/5 + 14*a**3/5 - 8*a**2/5 - 13*a/5 + 2 = 0. Calculate a.
-5, -1, 1, 2
Determine h, given that -h**5/10 - 9*h**4/10 = 0.
-9, 0
Find v, given that -2*v**4/9 + 2*v**3/3 + 116*v**2/9 - 104*v/3 - 112 = 0.
-7, -2, 6
Factor 3*b**2 + 7890*b + 5187675.
3*(b + 1315)**2
Solve 5*g**3 + 630*g**2 - 1275*g + 640 = 0 for g.
-128, 1
Solve 3*l**5/2 + 13*l**4 + 53*l**3/3 - 17*l/2 - 7/3 = 0.
-7, -1, -1/3, 2/3
Let f**5 + 7*f**4 - 4*f**3 - 112*f**2 - 192*f = 0. Calculate f.
-4, -3, 0, 4
Factor -9*b**5/7 + 24*b**4/7 - 3*b**3 + 6*b**2/7.
-3*b**2*(b - 1)**2*(3*b - 2)/7
Let -4*i**5 - 30*i**4 - 46*i**3 + 48*i**2 + 32*i = 0. What is i?
-4, -1/2, 0, 1
Solve 5*a**3/4 - 25*a**2/2 + 30*a = 0 for a.
0, 4, 6
Factor -m**5/2 + 17*m**4 - 345*m**3/2 + 450*m**2.
-m**2*(m - 15)**2*(m - 4)/2
Factor 169*s**2/6 - 26*s + 6.
(13*s - 6)**2/6
Factor -5*d**3 + 190*d**2 + 225*d - 1170.
-5*(d - 39)*(d - 2)*(d + 3)
Let j**4 - 52*j**3 - 223*j**2 - 62*j + 336 = 0. What is j?
-3, -2, 1, 56
Find q, given that 2*q**5 - 4*q**4/5 - 6*q**3 - 8*q**2/5 + 8*q/5 = 0.
-1, 0, 2/5, 2
Suppose -g**2/3 - 43*g/3 - 14 = 0. What is g?
-42, -1
Let l**3 - 42*l**2 - 49*l + 258 = 0. Calculate l.
-3, 2, 43
Factor -3*c**4/2 + 6*c**3 - 24*c + 24.
-3*(c - 2)**3*(c + 2)/2
Let k**2/5 + 6*k + 45 = 0. What is k?
-15
Suppose p**5/4 - 3*p**4/4 + 3*p**3/4 - p**2/4 = 0. Calculate p.
0, 1
Let 5*i**2 - 15480*i + 11981520 = 0. What is i?
1548
Factor -2*s**2/7 - 104*s/7 - 1352/7.
-2*(s + 26)**2/7
Factor 5*p**4 - 160*p**3 - 15*p**2 + 470*p + 320.
5*(p - 32)*(p - 2)*(p + 1)**2
Determine y, given that -y**4/2 - 20*y**3 - 179*y**2 + 420*y - 441/2 = 0.
-21, 1
Factor -3*a**5 + 111*a**4 - 408*a**3 + 396*a**2.
-3*a**2*(a - 33)*(a - 2)**2
Factor 6*g**3/11 + 94*g**2/11 + 32*g - 128/11.
2*(g + 8)**2*(3*g - 1)/11
Solve 8*f**5 - 8*f**4 - 54*f**3 + 4*f**2 + 38*f + 12 = 0.
-2, -1/2, 1, 3
Factor -196*r**5 + 3808*r**4 + 2224*r**3 + 320*r**2.
-4*r**2*(r - 20)*(7*r + 2)**2
Determine q so that -3*q**3/2 + 213*q**2/2 + 1359*q/2 + 2079/2 = 0.
-3, 77
Factor 29*d**2/4 - 25*d/4 - 1.
(d - 1)*(29*d + 4)/4
Factor 5*s**5 - 25*s**4 + 40*s**3 - 20*s**2.
5*s