 6)
Factor 2*u**3/19 - 12*u**2/19.
2*u**2*(u - 6)/19
Suppose -8*s**5/3 - 248*s**4 + 2302*s**3/3 - 72*s**2 - 2312*s/3 - 256 = 0. Calculate s.
-96, -1/2, 2
Factor 2*h**4 - 8*h**3 - 2*h**2 + 8*h.
2*h*(h - 4)*(h - 1)*(h + 1)
Solve -4*s**4 + 52*s**3 + 460*s**2 - 52*s - 456 = 0.
-6, -1, 1, 19
Solve 3*w**3 + 150*w**2 = 0 for w.
-50, 0
Factor -3*s**2/2 - 993*s/2.
-3*s*(s + 331)/2
Find b, given that -b**2/4 + 25*b - 625 = 0.
50
Factor 2*h**3 + 21*h**2 - 11*h.
h*(h + 11)*(2*h - 1)
What is q in q**5/2 + 121*q**4/2 + 355*q**3/2 + 115*q**2/2 - 178*q - 118 = 0?
-118, -2, -1, 1
Let -2*z**3 - 92*z**2 - 90*z = 0. What is z?
-45, -1, 0
Factor 75*g**5 + 1395*g**4 + 35667*g**3/4 + 42363*g**2/2 + 10449*g + 1458.
3*(g + 6)**3*(10*g + 3)**2/4
Factor -3*r**2/2 - 21*r + 1764.
-3*(r - 28)*(r + 42)/2
Find y, given that -2*y**3/3 - 140*y**2/3 + 96*y = 0.
-72, 0, 2
Let -2*a**2/15 + 612*a - 702270 = 0. Calculate a.
2295
Factor 2*m**2 - 4644*m + 2695842.
2*(m - 1161)**2
Find k, given that -3*k**2 + 18*k - 27 = 0.
3
Let -2*s**5/5 - 6*s**4/5 + 38*s**3/5 + 6*s**2/5 - 36*s/5 = 0. What is s?
-6, -1, 0, 1, 3
Factor 3*o**2 + 132*o - 735.
3*(o - 5)*(o + 49)
Solve 2*g**2 - 304*g + 302 = 0.
1, 151
Factor -3*b**2/4 - 213*b + 855/4.
-3*(b - 1)*(b + 285)/4
Factor -4*b**3 - 156*b**2 - 1836*b - 5780.
-4*(b + 5)*(b + 17)**2
Factor -m**2 - 470*m + 1419.
-(m - 3)*(m + 473)
Let -3*o**3/4 + 21*o**2/4 + 3*o/4 - 21/4 = 0. What is o?
-1, 1, 7
Solve -4*w**5 - 40*w**4 - 96*w**3 + 88*w**2 + 292*w - 240 = 0.
-5, -4, -3, 1
Suppose 2*g**5/9 + 10*g**4/9 - 34*g**3/9 - 14*g**2/3 = 0. Calculate g.
-7, -1, 0, 3
Factor -x**4/2 - 42*x**3 - 794*x**2 + 3696*x - 3872.
-(x - 2)**2*(x + 44)**2/2
Factor -s**5/4 - 15*s**4/4 + 17*s**3/2 - s**2/2 - 33*s/4 + 17/4.
-(s - 1)**3*(s + 1)*(s + 17)/4
Factor -3*t**4 + 6*t**3 + 57*t**2 + 84*t + 36.
-3*(t - 6)*(t + 1)**2*(t + 2)
Factor -14*h**3 + 10858*h**2 - 43408*h/7 + 6200/7.
-2*(h - 775)*(7*h - 2)**2/7
Factor o**2/2 + 3*o - 187/2.
(o - 11)*(o + 17)/2
Let -2*l**2 + 218*l + 444 = 0. Calculate l.
-2, 111
Factor 2*b**3 + 182*b**2 + 1038*b + 1530.
2*(b + 3)**2*(b + 85)
Suppose -21*y**4 + 825*y**3 - 1788*y**2 + 444*y = 0. Calculate y.
0, 2/7, 2, 37
Factor 10*b**4/3 + 32*b**3/3 + 22*b**2/3.
2*b**2*(b + 1)*(5*b + 11)/3
Factor -3*i**3 - 837*i**2 + 3396*i.
-3*i*(i - 4)*(i + 283)
Factor -2*c**2/17 + 124*c/17 - 240/17.
-2*(c - 60)*(c - 2)/17
What is l in 4*l**5 - 216*l**4 - 16*l**3 + 864*l**2 = 0?
-2, 0, 2, 54
Suppose -6*s**3 + 16*s**2 + 6*s - 16 = 0. What is s?
-1, 1, 8/3
Find k such that -2*k**5 + 2*k**4 + 10*k**3 + 6*k**2 = 0.
-1, 0, 3
Factor -2*d**2/3 + 540*d - 109350.
-2*(d - 405)**2/3
Suppose 3*h**2/4 + 33*h/4 - 9 = 0. What is h?
-12, 1
Find d such that 1620*d**2 + 72*d + 4/5 = 0.
-1/45
Find m, given that -21*m**4 + 825*m**3 - 10881*m**2 + 49179*m - 13182 = 0.
2/7, 13
Solve -2*y**2/17 + 36*y/17 + 80/17 = 0 for y.
-2, 20
Determine k, given that -4*k**2 - 44784*k - 125350416 = 0.
-5598
Solve 35*p**4 - 850*p**3 + 3565*p**2 - 950*p = 0.
0, 2/7, 5, 19
Let 3*o**5 - 492*o**4 + 19674*o**3 + 40836*o**2 + 20667*o = 0. Calculate o.
-1, 0, 83
Factor -q**3/3 - 4*q**2/3 - 4*q/3.
-q*(q + 2)**2/3
Let 9*v**5/5 + 8*v**4/5 - 2*v**3 - 8*v**2/5 + v/5 = 0. Calculate v.
-1, 0, 1/9, 1
Solve 2*k**3/9 + 76*k**2/3 + 2888*k/3 + 109744/9 = 0 for k.
-38
Let 27*z**4/7 - 96*z**3/7 + 12*z**2 = 0. Calculate z.
0, 14/9, 2
Factor 3*c**3 + 57*c**2/4 - 183*c/4 + 21/2.
3*(c - 2)*(c + 7)*(4*c - 1)/4
Solve -n**4/4 + 8*n**3 - 74*n**2 + 112*n + 588 = 0.
-2, 6, 14
Let 2*v**5 + 282*v**4 - 4*v**3 - 564*v**2 + 2*v + 282 = 0. What is v?
-141, -1, 1
Factor -2*a**5 + 8*a**4 - 12*a**3 + 8*a**2 - 2*a.
-2*a*(a - 1)**4
Solve 3*g**3/7 + 27*g**2/7 + 45*g/7 + 3 = 0 for g.
-7, -1
Factor -5*r**2 + 215*r - 1760.
-5*(r - 32)*(r - 11)
Solve 2*d**2 + 5120*d + 3276800 = 0 for d.
-1280
Determine n so that 7*n**3/2 + 2563*n**2 + 469578*n + 133956 = 0.
-366, -2/7
Find p such that 3*p**5 - 201*p**4/4 - 783*p**3/4 + 21*p**2/4 + 771*p/4 + 45 = 0.
-3, -1, -1/4, 1, 20
Factor 3*q**2 - 87*q + 234.
3*(q - 26)*(q - 3)
Factor 4*b**2 + 80*b.
4*b*(b + 20)
Factor 4*f**2/7 + 52*f/7 - 1056/7.
4*(f - 11)*(f + 24)/7
Factor -3*u**4/2 + 6*u**3 - 15*u**2/2 + 3*u.
-3*u*(u - 2)*(u - 1)**2/2
Suppose 3*q**5/2 - 6*q**4 - 75*q**3/2 + 42*q**2 = 0. What is q?
-4, 0, 1, 7
Let 25*y**5 - 110*y**4 - 485*y**3 + 110*y**2 + 740*y - 280 = 0. What is y?
-2, 2/5, 1, 7
Solve 2*h**4 + 10*h**3 + 6*h**2 - 18*h = 0 for h.
-3, 0, 1
Factor -16*s**2 + 2820*s - 704.
-4*(s - 176)*(4*s - 1)
Let 5*t**4 - 540*t**3 - 15*t**2 + 1610*t + 1080 = 0. Calculate t.
-1, 2, 108
Solve -q**3/3 + 131*q**2/3 - 3944*q/3 - 23120/3 = 0 for q.
-5, 68
Factor 3*f**2 + 27*f + 54.
3*(f + 3)*(f + 6)
Let -p**4/3 + 14*p**3/3 - 20*p**2 + 24*p = 0. What is p?
0, 2, 6
Factor 3*b**3/8 + 51*b**2/4 - 3*b/8 - 51/4.
3*(b - 1)*(b + 1)*(b + 34)/8
Solve 2*z**5 + 68*z**4 + 578*z**3 = 0 for z.
-17, 0
Determine p, given that 2*p**4/7 - 26*p**3/7 - 366*p**2/7 - 646*p/7 - 44 = 0.
-7, -1, 22
Factor -m**4/6 - 6*m**3 - 179*m**2/3 - 102*m - 289/6.
-(m + 1)**2*(m + 17)**2/6
What is n in -3*n**2 - 6*n - 3 = 0?
-1
Let 3*p**3 - 1320*p**2 = 0. Calculate p.
0, 440
Suppose -75*v**5/4 + 135*v**4/4 - 18*v**3 + 3*v**2 = 0. What is v?
0, 2/5, 1
Factor t**2 + 239*t + 238.
(t + 1)*(t + 238)
Find m such that 5*m**2 - 290*m + 4205 = 0.
29
Factor -4*z**3 - 4*z**2 + 4*z + 4.
-4*(z - 1)*(z + 1)**2
Determine i, given that i**2 - 25*i + 24 = 0.
1, 24
Find d such that -2*d**5 + 2*d**4 = 0.
0, 1
Solve -r**2/5 - 29*r/5 - 20 = 0 for r.
-25, -4
Suppose -3*j**2/4 - 189*j/2 - 11907/4 = 0. What is j?
-63
Factor 4*p**5/13 - 6*p**4/13 + 2*p**2/13.
2*p**2*(p - 1)**2*(2*p + 1)/13
Let w**3/6 - 4*w**2/3 + 5*w/6 + 7/3 = 0. What is w?
-1, 2, 7
Solve 2*q**2/5 + 472*q/5 + 27848/5 = 0.
-118
Solve 4*t**5/3 + 4*t**4 - 28*t**3 - 44*t**2/3 + 64*t + 48 = 0 for t.
-6, -1, 2, 3
Factor -3*u**4/7 + 366*u**3/7 - 14760*u**2/7 + 191634*u/7 + 206763/7.
-3*(u - 41)**3*(u + 1)/7
Find p such that -2*p**2/5 + 7908*p/5 - 7817058/5 = 0.
1977
Let 2*c**5/7 + 10*c**4/7 + 2*c**3/7 - 26*c**2/7 - 4*c/7 + 16/7 = 0. Calculate c.
-4, -2, -1, 1
Factor 2*k**2 - 9*k/2 + 1.
(k - 2)*(4*k - 1)/2
Solve x**3/5 - x**2/5 = 0 for x.
0, 1
Factor h**5 - 25*h**4 - 54*h**3.
h**3*(h - 27)*(h + 2)
Solve 3*v**3/2 + 3*v**2 - 27*v/2 - 27 = 0 for v.
-3, -2, 3
Factor -3*l**3 - 417*l**2.
-3*l**2*(l + 139)
Determine x, given that -3*x**4 + 261*x**3 - 6036*x**2 + 14868*x + 21168 = 0.
-1, 4, 42
Factor 2*o**4/7 + 26*o**3/7 - 116*o**2/7 - 320*o/7.
2*o*(o - 5)*(o + 2)*(o + 16)/7
Factor 3*t**3/8 - 3*t**2/8 - 3*t/8 + 3/8.
3*(t - 1)**2*(t + 1)/8
Determine o, given that o**5/2 - 21*o**4 + 397*o**3/2 + 462*o**2 + 242*o = 0.
-1, 0, 22
Factor 5*c**4 - 120*c**3 - 875*c**2 - 750*c.
5*c*(c - 30)*(c + 1)*(c + 5)
Let -b**3 + 28*b**2 - 165*b - 450 = 0. What is b?
-2, 15
Determine z, given that 8*z**4/7 - 66*z**3/7 + 88*z**2/7 + 18*z - 36/7 = 0.
-1, 1/4, 3, 6
Factor 3*i**4 - 5688*i**3 + 4044168*i**2 - 1277957088*i + 151437914928.
3*(i - 474)**4
Factor 2*j**2/7 - 34*j/7 - 76/7.
2*(j - 19)*(j + 2)/7
Solve -2*t**3 + 12*t**2 - 64 = 0 for t.
-2, 4
Factor -t**2 - 91*t + 282.
-(t - 3)*(t + 94)
Let -5*f**5 + 217*f**4 - 2686*f**3 + 7040*f**2 - 2400*f = 0. What is f?
0, 2/5, 3, 20
Factor 2*j**4 + 54*j**3 + 474*j**2 + 1474*j + 1452.
2*(j + 2)*(j + 3)*(j + 11)**2
Let -5*y**4 - 180*y**3 - 1920*y**2 - 5120*y = 0. Calculate y.
-16, -4, 0
Factor 6*z**2 + 74*z.
2*z*(3*z + 37)
Determine f so that 2*f**2/7 + 4324*f/7 - 618 = 0.
-2163, 1
Factor 2*t**3/3 - 10*t**2 + 18*t + 162.
2*(t - 9)**2*(t + 3)/3
Factor -5*f**2/3 - 30*f + 575/3.
-5*(f - 5)*(f + 23)/3
Determine a, given that -2*a**2 + 1114*a - 1112 = 0.
1, 556
Solve -2*b**4/3 - 28*b**3/3 + 208*b**2 - 684*b + 486 = 0 for b.
-27, 1, 3, 9
Factor -f**3/9 + 11*f**2/9 + 14*f/9 - 8/3.
-(f - 12)*(f - 1)*(f + 2)/9
Factor -4*s**4 - 68*s**3 - 364*s**2 - 588*s.
-4*s*(s + 3)*(s + 7)**2
Factor -g**2/6 - 314*g + 1886/3.
-(g - 2)*(g + 1886)/6
Let -f**3/3 + f**2/3 + 2*f/3 = 0. What is f?
-1, 0, 2
Factor r**2/3 - 329*r/3 + 218.
(r - 327)*(r - 2)/3
Find a such that -a**5/2 - 2*a**4 + 9*a**3 - 10*a**2 + 7*a/2 = 0.
-7, 0, 1
Determine i, given that 2*i**3/9 + 556*i**2/9 - 1118*i/9 + 560/9 = 0.
-280, 1
Solve -2*s**2 + 22*s - 56 = 0.
4, 7
Let a**4/4 + 17*a**3/4 + 53*a**2/4 + 7*a/4 - 39/2 = 0. What is a?
-13, -3, -2, 1
Factor s**3 + 2