3/4 + 87*x**2/4 + 29*x/2 - 18 = 0.
-4, -1, 1, 18
Factor w**5 - 7*w**4 - 9*w**3 + 115*w**2 - 100*w.
w*(w - 5)**2*(w - 1)*(w + 4)
Suppose -2*r**3 - 56*r**2/5 - 66*r/5 + 36/5 = 0. Calculate r.
-3, 2/5
What is t in 4*t**2/3 - 32*t/3 = 0?
0, 8
Solve -5*t**5/3 - 50*t**4/3 + 115*t**3/3 + 400*t**2 - 960*t = 0 for t.
-8, 0, 3
Let 3*b**4/2 + 33*b**3/2 + 105*b**2/2 + 75*b/2 = 0. What is b?
-5, -1, 0
Solve 3*h**4 - 21*h**2 + 18*h = 0.
-3, 0, 1, 2
Suppose -4*q**5 - 72*q**4 - 124*q**3 + 72*q**2 + 128*q = 0. What is q?
-16, -2, -1, 0, 1
Solve -2*d**4/9 + 22*d**3/9 - 64*d**2/9 + 56*d/9 = 0 for d.
0, 2, 7
Factor -d**3/8 - 3*d**2/8 + 1/2.
-(d - 1)*(d + 2)**2/8
What is s in s**3 + 29*s**2 + 224*s + 196 = 0?
-14, -1
Find p, given that -p**3/4 - 15*p**2/2 + 97*p/4 - 33/2 = 0.
-33, 1, 2
Suppose -2*l**5/5 + 6*l**3/5 - 4*l**2/5 = 0. Calculate l.
-2, 0, 1
Factor -2*j**4 - 4*j**3 + 6*j**2 + 16*j + 8.
-2*(j - 2)*(j + 1)**2*(j + 2)
Find c such that -2*c**5 + 6*c**4 - 6*c**3 + 2*c**2 = 0.
0, 1
Factor 3*y**5 + 21*y**4 - 15*y**3 - 225*y**2.
3*y**2*(y - 3)*(y + 5)**2
Factor o**4/6 + 20*o**3 + 600*o**2.
o**2*(o + 60)**2/6
Let 218*d**3/7 + 4*d**2/7 - 218*d/7 - 4/7 = 0. Calculate d.
-1, -2/109, 1
Solve 2*h**3 - 662*h**2 + 54448*h + 55112 = 0 for h.
-1, 166
Determine o, given that -5*o**4/6 - 11*o**3/6 + 17*o**2/6 + 11*o/6 - 2 = 0.
-3, -1, 4/5, 1
Factor 2*p**4/7 - 26*p**3 - 136*p**2 - 768*p/7.
2*p*(p - 96)*(p + 1)*(p + 4)/7
Factor -2*l**3/15 - 926*l**2/15 - 308*l/5.
-2*l*(l + 1)*(l + 462)/15
Suppose -3*h**4/7 + 9*h**3/7 + 30*h**2/7 = 0. Calculate h.
-2, 0, 5
Factor -5*y**3 - 60*y**2 - 225*y - 250.
-5*(y + 2)*(y + 5)**2
Suppose -p**3/2 - 24*p**2 - 384*p - 2048 = 0. What is p?
-16
Determine o, given that o**3/3 + 1358*o**2/3 - 453*o = 0.
-1359, 0, 1
Find s such that -6*s**4/19 - 40*s**3/19 - 14*s**2/19 + 68*s/19 + 48/19 = 0.
-6, -1, 4/3
Suppose -2*i**2/7 + 296*i/7 - 10952/7 = 0. What is i?
74
Determine p so that 4*p**4 - 101*p**3 + 114*p**2 + 144*p = 0.
-3/4, 0, 2, 24
Find p such that 6*p**4/7 + 24*p**3/7 - 36*p**2 - 1320*p/7 - 150 = 0.
-5, -1, 7
Determine d, given that 44595684*d**2 - 13356*d + 1 = 0.
1/6678
Factor -2*j**2/5 - 696*j/5 - 60552/5.
-2*(j + 174)**2/5
Suppose 3*c**3/7 + 12*c**2/7 - 2484*c/7 - 31104/7 = 0. What is c?
-18, 32
Solve 3*k**3/5 - 18*k**2/5 + 36*k/5 - 24/5 = 0 for k.
2
Factor t**3 + 292*t**2 + 21316*t.
t*(t + 146)**2
Factor 2*h**5/7 + 164*h**4/7 + 3674*h**3/7 + 12792*h**2/7 + 12168*h/7.
2*h*(h + 2)**2*(h + 39)**2/7
Suppose 1458*s**2 + 216*s + 8 = 0. Calculate s.
-2/27
Factor 5*j**2/3 - 95*j/3.
5*j*(j - 19)/3
Factor 2*u**2/3 + 3572*u/3 + 1594898/3.
2*(u + 893)**2/3
Factor q**3 + 6*q**2 - 15*q + 8.
(q - 1)**2*(q + 8)
Factor 2*f**4/7 - 6296*f**3/7 + 4954952*f**2/7.
2*f**2*(f - 1574)**2/7
Find l such that -10*l**3/17 + 14*l**2/17 - 4*l/17 = 0.
0, 2/5, 1
Factor -2*z**3/5 + 4*z**2/5 + 896*z - 84672/5.
-2*(z - 28)**2*(z + 54)/5
Factor 2*z**2/9 - 62*z/9 + 116/9.
2*(z - 29)*(z - 2)/9
Factor h**5/5 + h**4/5 - 4*h**3/5 - 4*h**2/5.
h**2*(h - 2)*(h + 1)*(h + 2)/5
Solve 9*x**3 - 5874*x**2 + 3909*x + 1956 = 0.
-1/3, 1, 652
Determine o so that -o**4 + 6*o**3 - 12*o**2 + 8*o = 0.
0, 2
Solve 3*z**3 - 3171*z**2 - 3*z + 3171 = 0.
-1, 1, 1057
Factor 2*n**2/13 + 184*n/13 + 360/13.
2*(n + 2)*(n + 90)/13
Factor 6*j**4 - 20*j**3 - 26*j**2 + 32*j + 32.
2*(j - 4)*(j + 1)**2*(3*j - 4)
Solve y**3 + 136*y**2 + 4485*y - 9522 = 0.
-69, 2
Factor -3*n**2/5 + 27*n + 138/5.
-3*(n - 46)*(n + 1)/5
What is c in c**4/3 - c**3 - 7*c**2 + 43*c/3 + 20 = 0?
-4, -1, 3, 5
Let 2*z**2/9 - 64*z/9 + 40/3 = 0. Calculate z.
2, 30
Find g such that -4*g**5 + 5724*g**4 - 17148*g**3 + 17140*g**2 - 5712*g = 0.
0, 1, 1428
Determine w so that w**2 - 2442*w + 1490841 = 0.
1221
Factor 4*f**4 + 36*f**3 - 480*f**2 + 1088*f.
4*f*(f - 4)**2*(f + 17)
Determine t, given that 3*t**4 - 123*t**3 + 1512*t**2 - 4860*t = 0.
0, 5, 18
Determine i so that -35*i**5 - 255*i**4 - 595*i**3 - 465*i**2 - 90*i = 0.
-3, -1, -2/7, 0
Factor -5*i**3/3 + 55*i**2/3 + 20*i.
-5*i*(i - 12)*(i + 1)/3
Determine t, given that -t**5 - 3*t**4 + 2*t**3 + 12*t**2 + 8*t = 0.
-2, -1, 0, 2
Factor -3*s**5 + 48*s**4 + 108*s**3 + 6*s**2 - 105*s - 54.
-3*(s - 18)*(s - 1)*(s + 1)**3
Factor x**2/5 - 12*x/5.
x*(x - 12)/5
Factor -2601*v**3 - 2805*v**2 - 208*v - 4.
-(v + 1)*(51*v + 2)**2
Let 52*g**4/7 - 36*g**3/7 - 68*g**2/7 + 36*g/7 + 16/7 = 0. Calculate g.
-1, -4/13, 1
Factor 3*f**2 - 45*f + 78.
3*(f - 13)*(f - 2)
Suppose -5*r**5 + 65*r**4 - 200*r**3 + 180*r**2 = 0. What is r?
0, 2, 9
Factor -3*q**3 - 3*q**2.
-3*q**2*(q + 1)
Solve 4*s**3/9 - 4*s**2 = 0 for s.
0, 9
Find i, given that 4*i**2/3 + 68*i + 752/3 = 0.
-47, -4
Factor 29*l**2/4 + 4319*l/4 - 149/2.
(l + 149)*(29*l - 2)/4
Factor 4*q**2 + 52*q - 120.
4*(q - 2)*(q + 15)
Factor 2*x**4/5 + 102*x**3/5 - 160*x**2 + 696*x/5.
2*x*(x - 6)*(x - 1)*(x + 58)/5
Find o, given that -o**4/7 + 9*o**3/7 - 15*o**2/7 + o = 0.
0, 1, 7
Factor -4*w**4 + 96*w**3 + 104*w**2 - 96*w - 100.
-4*(w - 25)*(w - 1)*(w + 1)**2
What is x in 48*x**3 + 2*x**2 - x/2 = 0?
-1/8, 0, 1/12
Determine j, given that 18*j**5 + 14*j**4 - 148*j**3 - 184*j**2 + 48*j = 0.
-2, 0, 2/9, 3
Factor 3*x**3/2 + 12*x**2 - 18*x - 216.
3*(x - 4)*(x + 6)**2/2
Factor -2*d**2 + 34*d - 140.
-2*(d - 10)*(d - 7)
Factor 3*b**5 + 8*b**4 + 4*b**3 - 6*b**2 - 7*b - 2.
(b - 1)*(b + 1)**3*(3*b + 2)
Determine h, given that 2*h**4/5 + 32*h**3/5 + 126*h**2/5 + 184*h/5 + 88/5 = 0.
-11, -2, -1
Factor -4*n**3 + 832*n**2 - 4884*n + 7272.
-4*(n - 202)*(n - 3)**2
Factor 2*n**3/5 - 1340*n**2 + 1122250*n.
2*n*(n - 1675)**2/5
Factor t**5 - 3*t**4 - 7*t**3 + 7*t**2 + 18*t + 8.
(t - 4)*(t - 2)*(t + 1)**3
Determine q, given that -5*q**4 - 10*q**3 + 5*q**2 + 10*q = 0.
-2, -1, 0, 1
Factor 16*a**4/3 + 52*a**3 + 180*a**2 + 252*a + 108.
4*(a + 3)**3*(4*a + 3)/3
Let d**2/3 - 38*d + 1083 = 0. Calculate d.
57
Factor 3*i**4 + 21*i**3 - 9*i**2 - 165*i + 150.
3*(i - 2)*(i - 1)*(i + 5)**2
Factor -8*w**3/7 - 10*w**2/7 - 2*w/7.
-2*w*(w + 1)*(4*w + 1)/7
Factor o**3/5 + 7*o**2/5 + 11*o/5 + 1.
(o + 1)**2*(o + 5)/5
Find n, given that 2*n**3/5 - 6*n/5 - 4/5 = 0.
-1, 2
Factor h**4/2 - 33*h**3/2 + 16*h**2.
h**2*(h - 32)*(h - 1)/2
Suppose 2*o**4 + 36*o**3 - 286*o**2 - 4032*o + 25088 = 0. What is o?
-16, 7
What is i in -2*i**2 - 24*i + 90 = 0?
-15, 3
Factor -s**3/3 + 86*s**2/3 - 83*s/3 - 170/3.
-(s - 85)*(s - 2)*(s + 1)/3
Determine c, given that c**3/4 + 39*c**2/4 + 145*c/2 = 0.
-29, -10, 0
Solve 3*j**4/4 - 3*j**3 + 9*j**2/4 + 3*j - 3 = 0.
-1, 1, 2
Determine z so that 2*z**3/17 - 4*z**2/17 + 2*z/17 = 0.
0, 1
Factor l**2/4 - 192*l + 36864.
(l - 384)**2/4
Factor 21*w**3 + 951*w**2 + 2916*w + 756.
3*(w + 3)*(w + 42)*(7*w + 2)
Determine o, given that o**3/3 + 7952*o**2/3 + 15808576*o/3 = 0.
-3976, 0
Suppose 2*d**2/11 - 6*d - 216/11 = 0. Calculate d.
-3, 36
Factor -g**5/7 + 1854*g**4/7 + 7426*g**3/7 + 1592*g**2 + 7431*g/7 + 1858/7.
-(g - 1858)*(g + 1)**4/7
Factor 3*d**3 - 54*d**2 + 261*d - 210.
3*(d - 10)*(d - 7)*(d - 1)
Determine x, given that x**2 + 450*x - 904 = 0.
-452, 2
Determine v, given that -25*v**5 - 345*v**4 - 739*v**3 + 393*v**2 + 584*v + 132 = 0.
-11, -3, -2/5, 1
Factor -3*u**3 - 3*u**2 + 48*u + 48.
-3*(u - 4)*(u + 1)*(u + 4)
Factor q**2/3 + 11152*q/3 + 31091776/3.
(q + 5576)**2/3
Determine w so that -2*w**5 - 74*w**4/5 - 198*w**3/5 - 238*w**2/5 - 128*w/5 - 24/5 = 0.
-3, -2, -1, -2/5
Factor -3*z**4 - 6*z**3 + 9*z**2.
-3*z**2*(z - 1)*(z + 3)
Factor -6*p**3 - 52*p**2 - 30*p + 16.
-2*(p + 1)*(p + 8)*(3*p - 1)
Find c such that 2*c**2/5 + 4*c = 0.
-10, 0
Factor -l**4/4 - 297*l**3/2 - 88801*l**2/4 - 43956*l - 21904.
-(l + 1)**2*(l + 296)**2/4
Find u such that 2*u**3/5 + 58*u**2/5 + 308*u/5 = 0.
-22, -7, 0
Solve -20*o**3 + 276*o**2 - 424*o - 96 = 0 for o.
-1/5, 2, 12
Factor -2*v**3 + 54*v**2 + 242*v + 186.
-2*(v - 31)*(v + 1)*(v + 3)
Suppose -3*v**5 + 447*v**4 - 19212*v**3 + 185232*v**2 - 166464*v = 0. Calculate v.
0, 1, 12, 68
What is v in 12*v**2 + 141*v + 210 = 0?
-10, -7/4
Solve -15*g**5 - 355*g**4/6 + 505*g**3/3 - 595*g**2/6 + 5*g = 0.
-6, 0, 1/18, 1
Factor 162*l**2/17 - 20160*l/17 + 627200/17.
2*(9*l - 560)**2/17
Solve -2*r**5/21 + 52*r**4/21 - 18*r**3 + 144*r**2/7 + 288*r/7 = 0.
-1, 0, 3, 12
Let 352*j**3 + 488*j**2 + 148*j + 12 = 0. What is j?
-1, -1/4, -3/22
Factor -d**3/3 - 72*d**2 - 848*d/3.
-d*(d + 4)*(