365/2 = 0.
35, 78
Factor 3*c**4/2 + 369*c**3 + 30618*c**2 + 885735*c + 4782969/2.
3*(c + 3)*(c + 81)**3/2
Let -r**2/2 - r/2 + 1 = 0. What is r?
-2, 1
Determine f, given that -4*f**3 + 540*f**2 - 24252*f + 362404 = 0.
43, 49
Factor 4*d**3 + 56*d**2 + 140*d + 88.
4*(d + 1)*(d + 2)*(d + 11)
Factor 2*l**3/3 + 254*l**2/3.
2*l**2*(l + 127)/3
Find y such that 2*y**5/3 - 2*y**4 - 6*y**3 - 10*y**2/3 = 0.
-1, 0, 5
Determine l so that 2*l**4/19 + 82*l**3/19 + 66*l**2 + 8470*l/19 + 21296/19 = 0.
-11, -8
Factor -12*s**3 + 68*s**2.
-4*s**2*(3*s - 17)
Suppose -c**2/4 - 97*c/4 = 0. What is c?
-97, 0
Let 2*m**3/19 - 56*m**2/19 = 0. Calculate m.
0, 28
Factor 4*q**2 + 788*q - 792.
4*(q - 1)*(q + 198)
Find i, given that -3*i**3/4 - 231*i**2/4 + 471*i/4 - 237/4 = 0.
-79, 1
Factor 3*t**2/2 + 78*t + 288.
3*(t + 4)*(t + 48)/2
Find o, given that o**2 - 122*o + 3721 = 0.
61
Find q such that -867*q**4 + 2040*q**3 - 1506*q**2 + 360*q - 27 = 0.
3/17, 1
Solve -5*h**3 - 75*h**2 - 235*h - 165 = 0.
-11, -3, -1
What is g in -3*g**5 + 3051*g**4 - 1034289*g**3 + 116874657*g**2 = 0?
0, 339
Factor -f**3/2 - 885*f**2/2 - 97236*f + 295704.
-(f - 3)*(f + 444)**2/2
Factor -60*x**2 - 112*x + 16.
-4*(x + 2)*(15*x - 2)
Factor r**2/3 + 3770*r/3 + 3553225/3.
(r + 1885)**2/3
Let -2*u**2 - 180*u + 558 = 0. What is u?
-93, 3
Factor 3*j**4 + 69*j**3 - 339*j**2 - 405*j.
3*j*(j - 5)*(j + 1)*(j + 27)
Factor 2*q**4 - 26*q**3 + 46*q**2 - 22*q.
2*q*(q - 11)*(q - 1)**2
Factor -2*f**4/5 + 12*f**3/5 + 14*f**2/5.
-2*f**2*(f - 7)*(f + 1)/5
Suppose -3*i**3 + 1443*i**2 - 174240*i + 172800 = 0. Calculate i.
1, 240
Find v such that 2*v**5 - 144*v**4 + 2592*v**3 = 0.
0, 36
Solve -y**5/4 - y**4/4 + 7*y**3/4 + y**2/4 - 3*y/2 = 0.
-3, -1, 0, 1, 2
Factor -4*f**2 - 1774*f - 4410.
-2*(f + 441)*(2*f + 5)
Factor -b**5/2 + 25*b**4/2 - 47*b**3/2 + 23*b**2/2.
-b**2*(b - 23)*(b - 1)**2/2
Solve 48*l**3/5 + 8*l**2/5 - l - 1/5 = 0.
-1/4, 1/3
Factor -m**2 - 36*m - 68.
-(m + 2)*(m + 34)
Find z such that z**3 + 51*z**2 + 867*z + 4913 = 0.
-17
Suppose -34*i**2/5 + 104*i/5 - 6/5 = 0. Calculate i.
1/17, 3
Find i, given that 2*i**5/9 - 104*i**4/9 + 100*i**3/9 + 104*i**2/9 - 34*i/3 = 0.
-1, 0, 1, 51
Let l**5 + 29*l**4 + 81*l**3 + 79*l**2 + 26*l = 0. What is l?
-26, -1, 0
Factor s**3/2 - 8917*s**2/2 + 9941340*s - 9936882.
(s - 4458)**2*(s - 1)/2
Factor -4*u**5/3 + 19*u**4/3 + 5*u**3/3.
-u**3*(u - 5)*(4*u + 1)/3
Factor 147*u**3 + 7119*u**2 - 4104*u + 588.
3*(u + 49)*(7*u - 2)**2
Solve -d**3 + 88*d**2 + 179*d + 90 = 0 for d.
-1, 90
Let -5*h**5 - 423*h**4/5 - 1091*h**3/5 - 197*h**2 - 264*h/5 + 28/5 = 0. Calculate h.
-14, -1, 2/25
Suppose 5*u**3 - 125*u**2 + 1040*u - 2880 = 0. Calculate u.
8, 9
Find i such that 5*i**3 + 10*i**2 + 5*i = 0.
-1, 0
Factor 3*w**2 - 1005*w + 2988.
3*(w - 332)*(w - 3)
Solve 8*y**3 + 76*y**2 - 44*y - 40 = 0 for y.
-10, -1/2, 1
Suppose -4*k**2/5 + 8*k/5 = 0. Calculate k.
0, 2
Determine i, given that 5*i**4/7 + 862*i**3/7 - 4951*i**2/7 + 5892*i/7 + 3204/7 = 0.
-178, -2/5, 3
Factor -4*o**4 - 228*o**3 - 224*o**2.
-4*o**2*(o + 1)*(o + 56)
Suppose -r**3/4 - 5*r**2/4 + 8*r - 9 = 0. What is r?
-9, 2
Factor 7*q**2/2 - 51*q/2 + 7.
(q - 7)*(7*q - 2)/2
Determine b so that -2*b**3/19 + 112*b**2/19 + 230*b/19 + 116/19 = 0.
-1, 58
Factor d**3/5 - 283*d**2/5 - 569*d/5 - 57.
(d - 285)*(d + 1)**2/5
Factor j**3/5 - 1099*j**2/5 - 220*j.
j*(j - 1100)*(j + 1)/5
What is l in -2*l**3 - l**2 + l = 0?
-1, 0, 1/2
Factor 3*f**3/4 + 3639*f**2/4 + 7269*f/4 + 3633/4.
3*(f + 1)**2*(f + 1211)/4
Factor -2*s**3 - 15*s**2 - 16*s + 12.
-(s + 2)*(s + 6)*(2*s - 1)
Solve s**5/3 - 43*s**4/3 + 298*s**3/3 + 7562*s**2/3 - 81947*s/3 - 89167/3 = 0.
-13, -1, 19
Solve b**2/2 - 12*b = 0.
0, 24
Find l such that 12*l**5 + 58*l**4 - 83*l**3 + 19*l**2/2 + 20*l - 6 = 0.
-6, -1/2, 1/2, 2/3
Factor -2*i**3/5 - 344*i**2/5 - 1352*i/5 - 1344/5.
-2*(i + 2)**2*(i + 168)/5
Determine a so that 16*a**4/3 - 14*a**3 + 10*a**2 + 2*a/3 - 2 = 0.
-3/8, 1
Suppose 2*w**3 - 6*w**2 - 90*w + 350 = 0. Calculate w.
-7, 5
Factor b**3/2 - 153*b**2/2 - b/2 + 153/2.
(b - 153)*(b - 1)*(b + 1)/2
Factor -4*u**2 + 260*u + 1704.
-4*(u - 71)*(u + 6)
Factor 1140*f**2/7 + 6*f/7.
6*f*(190*f + 1)/7
What is w in -w**5 - 38*w**4 + 80*w**3 - 2*w**2 - 79*w + 40 = 0?
-40, -1, 1
Factor i**4/3 - 91*i**3/3 - 772*i**2/3 - 1964*i/3 - 528.
(i - 99)*(i + 2)**2*(i + 4)/3
Factor -2*z**5 + 2*z**4 + 66*z**3 + 126*z**2.
-2*z**2*(z - 7)*(z + 3)**2
Find z, given that 5*z**2/3 + 650*z/3 + 1280/3 = 0.
-128, -2
Let -10*h**5/3 - 14*h**4 - 10*h**3/3 + 30*h**2 + 20*h/3 - 16 = 0. What is h?
-3, -2, -1, 4/5, 1
What is u in -u**4/8 + 221*u**3/4 - 52657*u**2/8 + 105417*u - 455058 = 0?
9, 212
Suppose -92*n**4 + 800*n**3/7 - 148*n**2/7 - 8*n/7 = 0. Calculate n.
-1/23, 0, 2/7, 1
Suppose 3*k**2 + 588*k = 0. Calculate k.
-196, 0
Solve x**3 - 2*x**2 - 4*x + 8 = 0 for x.
-2, 2
What is l in 21*l**5 + 57*l**4 + 24*l**3 - 12*l**2 = 0?
-2, -1, 0, 2/7
Factor -3*v**3 - 243*v**2 - 4536*v + 15876.
-3*(v - 3)*(v + 42)**2
Suppose -2*s**2/3 - 56*s/3 + 62 = 0. Calculate s.
-31, 3
Find t, given that 2*t**5 - 10*t**3 + 8*t = 0.
-2, -1, 0, 1, 2
Factor -w**4/5 - 59*w**3/5 - 838*w**2/5 + 204*w + 360.
-(w - 2)*(w + 1)*(w + 30)**2/5
Determine w so that -5*w**3/2 - 90*w**2 - 165*w/2 + 175 = 0.
-35, -2, 1
Determine r, given that 23*r**3 - 50*r**2 + 31*r - 4 = 0.
4/23, 1
Factor -5*z**4 + 25*z**3 - 20*z**2.
-5*z**2*(z - 4)*(z - 1)
Suppose j**2/10 - 21*j/10 + 2 = 0. Calculate j.
1, 20
Factor -2*n**3 + 6*n**2 - 4*n.
-2*n*(n - 2)*(n - 1)
Factor -2*d**3/17 - 38*d**2/17 - 62*d/17 + 6.
-2*(d - 1)*(d + 3)*(d + 17)/17
Factor -w**3 + 109*w**2 - 3400*w + 22500.
-(w - 50)**2*(w - 9)
Solve -4*f**3 + 36*f**2 + 1236*f + 1196 = 0 for f.
-13, -1, 23
Determine g, given that 5*g**4 - 35*g**3 - 200*g**2 - 220*g = 0.
-2, 0, 11
Factor 5*l**3 + 40*l**2 - 45*l.
5*l*(l - 1)*(l + 9)
Solve -3*i**2 + 315*i + 642 = 0.
-2, 107
Find b such that 25*b**3/3 - 25*b**2/3 - 14*b/3 = 0.
-2/5, 0, 7/5
Factor 3*i**2 + 57*i - 60.
3*(i - 1)*(i + 20)
Let -5*l**5 + 30*l**4 - 55*l**3 + 30*l**2 = 0. What is l?
0, 1, 2, 3
Factor -365*f**4/4 + 5*f**3/2.
-5*f**3*(73*f - 2)/4
Let 2*m**2/7 - 66*m/7 + 124/7 = 0. Calculate m.
2, 31
Suppose -2*p**2 - 10*p + 28 = 0. What is p?
-7, 2
Find f such that f**2 + 30*f + 209 = 0.
-19, -11
Factor 4*t**4 + 68*t**3 + 228*t**2 + 268*t + 104.
4*(t + 1)**2*(t + 2)*(t + 13)
Factor -3*p**2/4 + 63*p/2 - 1323/4.
-3*(p - 21)**2/4
Suppose -p**5/9 - 7*p**4/9 - 5*p**3/9 + 7*p**2/9 + 2*p/3 = 0. What is p?
-6, -1, 0, 1
Suppose -j**4/2 + 621*j**3/2 + 1869*j**2/2 + 1871*j/2 + 312 = 0. Calculate j.
-1, 624
Factor 5*t**4 + 10*t**3 - 15*t**2 - 20*t + 20.
5*(t - 1)**2*(t + 2)**2
Solve -2*q**3 - 192*q**2 - 6144*q - 65536 = 0 for q.
-32
Factor -2*m**2/13 + 10*m - 128/13.
-2*(m - 64)*(m - 1)/13
Factor -4*t**3 + 4*t**2 + 1540*t + 11132.
-4*(t - 23)*(t + 11)**2
Determine n, given that 20*n**5 + 215*n**4 - 555*n**3 + 385*n**2 - 65*n = 0.
-13, 0, 1/4, 1
Factor 2*q**3 + 26*q**2 + 78*q + 54.
2*(q + 1)*(q + 3)*(q + 9)
Factor 4*v**2/3 + 554*v/15 - 56/5.
2*(v + 28)*(10*v - 3)/15
Determine t so that 4*t**2 - 472*t + 13924 = 0.
59
Factor 2*f**4/3 - 2*f**3/3.
2*f**3*(f - 1)/3
Factor 3*z**2 + 147*z + 282.
3*(z + 2)*(z + 47)
Factor -4*x**2/7 + 17408*x/7 - 18939904/7.
-4*(x - 2176)**2/7
Factor -4*n**5/5 - 292*n**4/5 - 1148*n**3 - 2940*n**2.
-4*n**2*(n + 3)*(n + 35)**2/5
Find k, given that -2*k**4/5 + 14*k**2/5 - 12*k/5 = 0.
-3, 0, 1, 2
Find s such that s**4/9 + 4*s**3/9 + 2*s**2/3 + 4*s/9 + 1/9 = 0.
-1
Let -2*s**4 - 410*s**3 + 1242*s**2 - 1246*s + 416 = 0. Calculate s.
-208, 1
Factor -12*g**2/5 - 112*g/5 - 36/5.
-4*(g + 9)*(3*g + 1)/5
Find u, given that -480*u**4 + 1120*u**3 - 310*u**2 - 25*u + 10 = 0.
-1/6, 1/4, 2
Let x**3 + 3*x**2 - 4 = 0. What is x?
-2, 1
Factor -3*m**5 + 24*m**4 - 12*m**3 - 78*m**2 + 111*m - 42.
-3*(m - 7)*(m - 1)**3*(m + 2)
Let -2*j**5 - 40*j**4 + 158*j**3 + 460*j**2 = 0. Calculate j.
-23, -2, 0, 5
Determine w, given that -6*w**4/11 + 442*w**3/11 - 26*w**2 - 442*w/11 + 292/11 = 0.
-1, 2/3, 1, 73
What is t in -t**4/8 - 7*t**3/8 - 5*t**2/4 = 0?
-5, -2, 0
Suppose 2*g**2/3 - 13216*g/3 + 21832832/3 = 0. What is g?
3304
Factor 5*a**2 - 1445*a + 1440.
5*(a - 288)*(a - 1)
Find f such that -5*f**4/4 + 105*f**3/2 - 925*f**2/4 = 0.
0, 5, 37
Let -w**5/7 + 41*w**4/7 - 365*w**3/7 + 1075*w**2/7 - 7