3
Solve -3*z**3 + 18*z**2 + 687*z - 702 = 0.
-13, 1, 18
Let -5*r**5 - 70*r**4 + 90*r**3 + 200*r**2 - 365*r + 150 = 0. Calculate r.
-15, -2, 1
Factor -14*f**3/11 + 10*f**2 + 16*f/11.
-2*f*(f - 8)*(7*f + 1)/11
Factor -9*t**3 - 39*t**2 - 6*t + 24.
-3*(t + 1)*(t + 4)*(3*t - 2)
Factor 3*b**3/5 - 134*b**2 - 448*b/5.
b*(b - 224)*(3*b + 2)/5
Factor -2*m**5/5 - 14*m**4/5 + 2*m**3 + 30*m**2.
-2*m**2*(m - 3)*(m + 5)**2/5
Solve 33*j**3 - 159*j**2 + 102*j + 24 = 0.
-2/11, 1, 4
Factor -l**5 + 6*l**4 - l**3 - 24*l**2 - 16*l.
-l*(l - 4)**2*(l + 1)**2
Factor -5*z**3/2 + 11*z**2/2 + 19*z - 4.
-(z - 4)*(z + 2)*(5*z - 1)/2
Factor 3*t**2/5 + 3*t - 312/5.
3*(t - 8)*(t + 13)/5
Solve 2*f**3 + 32*f**2 - 78*f - 108 = 0.
-18, -1, 3
Factor -x**2 - 23*x - 22.
-(x + 1)*(x + 22)
Solve 4*p**3 - 300*p**2 + 5472*p + 5776 = 0 for p.
-1, 38
Let 3*k**5/7 - 3*k**4/7 - 18*k**3/7 - 6*k**2/7 + 15*k/7 + 9/7 = 0. Calculate k.
-1, 1, 3
Suppose -2*i**5/3 + 26*i**4/3 + 2*i**3 - 82*i**2/3 + 52*i/3 = 0. Calculate i.
-2, 0, 1, 13
Factor -2*x**3/13 - 24*x**2/13 - 42*x/13 + 196/13.
-2*(x - 2)*(x + 7)**2/13
Find d such that -15*d**4 + 2810*d**3 - 133435*d**2 + 169260*d + 172980 = 0.
-2/3, 2, 93
Factor -207646*j**3/9 + 287170*j**2/3 - 397150*j/3 + 549250/9.
-2*(47*j - 65)**3/9
Suppose 2*s**3/9 + 24*s**2 + 280*s/3 + 832/9 = 0. Calculate s.
-104, -2
Factor s**2/4 + 5*s/2 + 25/4.
(s + 5)**2/4
Suppose 5*k**2 + 140*k - 300 = 0. Calculate k.
-30, 2
Factor -t**4/7 - 13*t**3/7 - 60*t**2/7 - 16*t - 64/7.
-(t + 1)*(t + 4)**3/7
Solve t**2 - 245*t + 486 = 0 for t.
2, 243
Factor -4*a**3 + 80*a**2 - 212*a + 136.
-4*(a - 17)*(a - 2)*(a - 1)
Determine r, given that -5*r**4 + 15*r**3 + 5*r**2 - 15*r = 0.
-1, 0, 1, 3
Determine r so that 2*r**2/3 + 364*r/3 - 496 = 0.
-186, 4
Factor b**3 - 9*b**2 + 27*b - 27.
(b - 3)**3
Factor -7*d**4 - 19*d**3 + 34*d**2 - 8*d.
-d*(d - 1)*(d + 4)*(7*d - 2)
Determine p, given that 546*p**2 + 4365*p - 24 = 0.
-8, 1/182
Factor 20577*u**5/4 - 9747*u**4/4 + 1539*u**3/4 - 81*u**2/4.
3*u**2*(19*u - 3)**3/4
Factor 6*h**2 - 140*h + 294.
2*(h - 21)*(3*h - 7)
Solve -3*k**2/4 + 33*k/2 = 0 for k.
0, 22
Determine r so that -2*r**5/3 + 10*r**4/3 + 6*r**3 - 26*r**2/3 - 56*r/3 - 8 = 0.
-1, 2, 6
Find h such that 16*h**2 - 1460*h + 1800 = 0.
5/4, 90
Determine m, given that m**4 + m**3 - 9*m**2 + 11*m - 4 = 0.
-4, 1
Let 2*n**3/9 + 608*n**2/3 + 184832*n/3 + 56188928/9 = 0. Calculate n.
-304
Factor r**3/2 - 2*r**2 + 5*r/2 - 1.
(r - 2)*(r - 1)**2/2
Factor -5*n**3 + 3670*n**2 - 669760*n - 1354240.
-5*(n - 368)**2*(n + 2)
Factor -14*q**2/17 + 230*q/17 + 8.
-2*(q - 17)*(7*q + 4)/17
What is d in -d**4 + 9*d**3 - 28*d**2 + 36*d - 16 = 0?
1, 2, 4
Factor -f**3 + 21*f**2 + 87*f/4 + 11/2.
-(f - 22)*(2*f + 1)**2/4
Factor -35*n**3 + 990*n**2 - 7140*n + 1960.
-5*(n - 14)**2*(7*n - 2)
Factor -4*n**4 + 4*n**3 + 24*n**2.
-4*n**2*(n - 3)*(n + 2)
Factor -70*q**2/3 - 844*q/9 - 16/9.
-2*(q + 4)*(105*q + 2)/9
Determine q, given that 459*q**4 + 135*q**3 - 312*q**2 + 12*q = 0.
-1, 0, 2/51, 2/3
Factor 194481*f**4/4 + 120393*f**3 + 223587*f**2/2 + 46137*f + 28561/4.
(21*f + 13)**4/4
Factor -5*b**4 - 150*b**3 - 1125*b**2.
-5*b**2*(b + 15)**2
Factor 3*w**2 + 1209*w - 1212.
3*(w - 1)*(w + 404)
Find z such that 21*z**4/8 + 159*z**3/2 + 684*z**2 + 1218*z + 294 = 0.
-14, -2, -2/7
Factor -5*o**4 + 483*o**3 + 1179*o**2 + 889*o + 198.
-(o - 99)*(o + 1)**2*(5*o + 2)
Factor 4*f**3 - 168*f**2 - 532*f - 360.
4*(f - 45)*(f + 1)*(f + 2)
Factor -3*z**3 + 720*z**2 + 12*z - 2880.
-3*(z - 240)*(z - 2)*(z + 2)
Solve -5*j**2 - 50*j - 120 = 0.
-6, -4
Factor -k**3 - 111*k**2 - 4107*k - 50653.
-(k + 37)**3
Solve -255*g**3 + 1254*g**2 + 111*g - 30 = 0.
-1/5, 2/17, 5
What is m in 5*m**2 = 0?
0
Factor -30*j**3 - 125*j**2 - 160*j - 60.
-5*(j + 2)*(2*j + 3)*(3*j + 2)
Solve m**4/7 + 46*m**3/7 - 7*m**2 - 94*m/7 = 0.
-47, -1, 0, 2
Find r such that -4*r**5 - 24*r**4 + 424*r**3 - 368*r**2 - 420*r + 392 = 0.
-14, -1, 1, 7
Determine m so that 4*m**4/7 + 68*m**3/7 - 72*m**2/7 = 0.
-18, 0, 1
Solve -4*n**4 + 16*n**3 + 4*n**2 - 64*n + 48 = 0.
-2, 1, 2, 3
Factor 12*a**4 - 22*a**3 - 88*a**2 - 62*a - 8.
2*(a - 4)*(a + 1)**2*(6*a + 1)
What is t in 2*t**2/7 - 58*t/7 + 380/7 = 0?
10, 19
Solve 2*j**2/11 + 204*j/11 + 5202/11 = 0.
-51
Solve 3*x**3 - 60*x**2 + 207*x + 270 = 0 for x.
-1, 6, 15
Suppose 2*f**4/13 + 2*f**3 - 268*f**2/13 + 240*f/13 = 0. Calculate f.
-20, 0, 1, 6
What is y in -3*y**2 - 48*y - 192 = 0?
-8
Determine y, given that -8*y**3/9 - 58*y**2/9 - 14*y/9 = 0.
-7, -1/4, 0
Factor -2*u**2/5 - 104*u/5 + 106/5.
-2*(u - 1)*(u + 53)/5
Factor 5*u**2 + 10530*u + 5544045.
5*(u + 1053)**2
Factor -5*w**3 + 160*w**2 - 1425*w + 2250.
-5*(w - 15)**2*(w - 2)
Factor -2*u**3/7 - 8*u**2/7 + 38*u/7 - 4.
-2*(u - 2)*(u - 1)*(u + 7)/7
Determine l, given that 5*l**3 + 70*l**2 + 65*l = 0.
-13, -1, 0
What is u in 3*u**3 - 90*u**2 + 609*u - 882 = 0?
2, 7, 21
Factor -k**2 - 91*k - 948.
-(k + 12)*(k + 79)
Let -t**3/9 - 49*t**2/3 + 148*t/9 = 0. Calculate t.
-148, 0, 1
Solve 2*n**3/3 + 4*n**2 + 22*n/3 + 4 = 0 for n.
-3, -2, -1
Suppose 5*j**4 - 30*j**3 + 40*j**2 = 0. Calculate j.
0, 2, 4
Factor d**2 + 157*d + 906.
(d + 6)*(d + 151)
Suppose -f**5/2 + 2*f**4 - 2*f**3 - f**2 + 5*f/2 - 1 = 0. What is f?
-1, 1, 2
Factor -4*u**4 + 80*u**3 - 372*u**2 + 504*u.
-4*u*(u - 14)*(u - 3)**2
Find l, given that -25*l**5/3 + 60*l**4 - 119*l**3/3 - 688*l**2/3 - 148*l - 80/3 = 0.
-1, -2/5, 4, 5
Solve 3*g**2 + 57*g + 54 = 0.
-18, -1
Factor -3*n**4 + 84*n**3 - 357*n**2 + 276*n.
-3*n*(n - 23)*(n - 4)*(n - 1)
Solve 4*a**5/5 + 8*a**4/5 - 48*a**3/5 + 56*a**2/5 - 4*a = 0 for a.
-5, 0, 1
Suppose -2*m**3/13 - 132*m**2/13 - 1728*m/13 + 15552/13 = 0. What is m?
-36, 6
Factor -1156*b**3 + 1972*b**2 - 960*b + 144.
-4*(b - 1)*(17*b - 6)**2
Suppose 2*m**3 - 32*m**2 + 160*m - 256 = 0. Calculate m.
4, 8
Find j such that 3*j**5/7 + 45*j**4/7 + 27*j**3 + 21*j**2 = 0.
-7, -1, 0
Find j, given that 4*j**3/5 - 2666*j**2/5 + 3986*j/5 + 532 = 0.
-1/2, 2, 665
Let 2*k**5 - 56*k**4/3 - 544*k**3/3 - 480*k**2 - 1504*k/3 - 512/3 = 0. Calculate k.
-2, -2/3, 16
Suppose -g**4/6 - 4*g**3/3 - 5*g**2/6 + 7*g/3 = 0. Calculate g.
-7, -2, 0, 1
Factor 2*o**2/3 - 480*o - 1442/3.
2*(o - 721)*(o + 1)/3
Suppose -173056*b**5 + 337792*b**4 + 535708*b**3 + 25160*b**2 + 300*b = 0. What is b?
-1, -5/208, 0, 3
Factor 2*t**3/3 - 34*t**2/9 + 58*t/9 - 10/3.
2*(t - 3)*(t - 1)*(3*t - 5)/9
Factor -5*i**3/4 + 14225*i**2/4 - 10110415*i/4 - 10124645/4.
-5*(i - 1423)**2*(i + 1)/4
Factor c**2 + 85*c.
c*(c + 85)
Factor -3*n**3/2 + 151*n**2/6 + 98*n/3 + 6.
-(n - 18)*(n + 1)*(9*n + 2)/6
Suppose 2*a**4 + 28*a**3 - 66*a**2 - 28*a + 64 = 0. Calculate a.
-16, -1, 1, 2
Factor -72*a**3/11 - 48*a**2 - 1178*a/11 - 722/11.
-2*(a + 1)*(6*a + 19)**2/11
Determine x so that 24*x**2/5 + 196*x/5 + 76 = 0.
-5, -19/6
Let c**2/7 - c - 44/7 = 0. What is c?
-4, 11
Factor w**5 + 4*w**4 - 49*w**3 - 196*w**2.
w**2*(w - 7)*(w + 4)*(w + 7)
Determine s, given that -2*s**3/5 + 436*s**2/5 - 1718*s/5 + 1284/5 = 0.
1, 3, 214
Factor -27*v**3 - 93*v**2 + 210*v.
-3*v*(v + 5)*(9*v - 14)
What is b in -108*b**5 + 552*b**4 - 52*b**3 - 40*b**2 = 0?
-2/9, 0, 1/3, 5
Factor -14*s**3/5 + 38*s**2/5 - 16*s/5 - 8/5.
-2*(s - 2)*(s - 1)*(7*s + 2)/5
What is l in -l**3 + 3*l**2 + 280*l + 1200 = 0?
-12, -5, 20
Suppose 5*p**3 - 70*p**2 - 965*p - 1610 = 0. What is p?
-7, -2, 23
Factor 3*n**4 - 720*n**3 + 2142*n**2 - 2136*n + 711.
3*(n - 237)*(n - 1)**3
Solve 4*n**5 + 8*n**4 - 96*n**3 - 216*n**2 + 540*n + 1296 = 0.
-3, 3, 4
Find v such that 2*v**3/15 + 58*v**2/15 - 40*v/3 - 256/15 = 0.
-32, -1, 4
Solve 3*t**3 - 99*t**2 + 186*t = 0 for t.
0, 2, 31
What is p in p**3 - 30*p**2 + 252*p - 392 = 0?
2, 14
Factor -7*y**2/8 + 747*y/8 + 107/4.
-(y - 107)*(7*y + 2)/8
What is n in 147*n**3 + 1092*n**2 - 660*n + 96 = 0?
-8, 2/7
What is v in -5*v**4/4 - 125*v**3/4 - 210*v**2 - 180*v = 0?
-12, -1, 0
Find f, given that 3*f**5/5 + 51*f**4/5 + 54*f**3 + 78*f**2 - 273*f/5 - 441/5 = 0.
-7, -3, -1, 1
Factor 27*w**5 + 459*w**4 - 1557*w**3 + 1241*w**2 - 378*w + 40.
(w - 2)*(w + 20)*(3*w - 1)**3
What is x in -2*x**2/3 + 284*x/3 = 0?
0, 142
Suppose -3*d**2 + 16833*d - 16830 = 0. What is d?
1, 5610
Solve 6*k**3 - 87*k**2 + 336*k - 147 = 0.
1/2, 7
Solve 5*d**3 - 5*d**2 - 60*d = 0.
-3, 0, 4
Let 64*w**4 + 1760*w**3 + 2532*w**2 + 936*w = 0. What is w?
