- 219)*(v + 1)*(v + 3)
Suppose -g**2 - 175*g + 176 = 0. What is g?
-176, 1
Find v, given that 2500*v**2 - 600*v + 36 = 0.
3/25
Factor -q**2/3 + 338*q/3 - 28561/3.
-(q - 169)**2/3
Factor 2*l**3 + 18*l**2 + 12*l - 32.
2*(l - 1)*(l + 2)*(l + 8)
Factor 2*i**2/17 + 936*i/17 + 109512/17.
2*(i + 234)**2/17
Find t, given that -4*t**4 - 36*t**3 - 52*t**2 + 36*t + 56 = 0.
-7, -2, -1, 1
Find j such that j**3/5 + 3*j**2/5 + 2*j/5 = 0.
-2, -1, 0
Let -2*b**2/5 - 28*b/5 + 294/5 = 0. What is b?
-21, 7
Determine x, given that 162*x**2 - 2952*x + 13448 = 0.
82/9
Suppose -5*y**4 + 55*y**3 - 50*y**2 = 0. Calculate y.
0, 1, 10
Determine k so that -17*k**3/2 - 485*k**2/2 - 122*k + 112 = 0.
-28, -1, 8/17
Factor -2*p**3/7 + 248*p**2/7 - 482*p/7 - 732/7.
-2*(p - 122)*(p - 3)*(p + 1)/7
Factor -3*g**4 + 150*g**3 - 1344*g**2 + 2250*g - 1053.
-3*(g - 39)*(g - 9)*(g - 1)**2
Determine z so that -z**4/4 - 25*z**3/4 - 75*z**2/2 + 125*z + 1250 = 0.
-10, 5
Find i, given that 4*i**3 + 1084*i**2 + 2156*i + 1076 = 0.
-269, -1
Factor n**2/8 - 3*n/2 + 11/8.
(n - 11)*(n - 1)/8
Solve -36*i**5 + 204*i**4 - 88*i**3 - 184*i**2 + 124*i - 20 = 0 for i.
-1, 1/3, 1, 5
Solve 5*i**5 - 445*i**4 + 9675*i**3 + 10125*i**2 = 0 for i.
-1, 0, 45
Suppose 4*n**5/3 - 20*n**4/3 - 20*n**3/3 + 100*n**2/3 + 160*n/3 + 64/3 = 0. What is n?
-1, 4
Determine r so that 5*r**2 - 245*r + 470 = 0.
2, 47
Determine i so that -20*i**5 + 325*i**4 - 660*i**3 + 425*i**2 - 70*i = 0.
0, 1/4, 1, 14
Factor a**3/3 + 6*a**2 + 47*a/3 + 10.
(a + 1)*(a + 2)*(a + 15)/3
Factor -p**3/3 + 28*p**2/3 - 157*p/3 + 70.
-(p - 21)*(p - 5)*(p - 2)/3
Factor -z**3 - 49*z**2 + z + 49.
-(z - 1)*(z + 1)*(z + 49)
Solve 5*q**5 + 65*q**4 + 235*q**3 + 295*q**2 + 120*q = 0.
-8, -3, -1, 0
Factor 2*t**4/7 + 110*t**3/7 + 1566*t**2/7 + 1458*t/7.
2*t*(t + 1)*(t + 27)**2/7
What is x in -2*x**3/9 - 478*x**2/9 - 950*x/9 - 158/3 = 0?
-237, -1
Factor 2*g**2/7 + 6*g.
2*g*(g + 21)/7
Suppose -2*n**3 + 80*n**2 + 168*n = 0. Calculate n.
-2, 0, 42
Find h, given that 3*h**5/4 + 9*h**4/4 - 21*h**3/4 - 21*h**2/4 + 27*h/2 - 6 = 0.
-4, -2, 1
Suppose o**3/5 - 436*o**2/5 + 47957*o/5 - 94178/5 = 0. Calculate o.
2, 217
Factor -x**2/6 + x/3 + 5/2.
-(x - 5)*(x + 3)/6
Factor -20*n**3/9 - 8*n**2/3 + 20*n/9 + 8/3.
-4*(n - 1)*(n + 1)*(5*n + 6)/9
Let 5*o**3 + 400*o**2 - 5*o - 400 = 0. What is o?
-80, -1, 1
Factor -2*s**4 - 100*s**3 - 1728*s**2 - 12636*s - 33534.
-2*(s + 9)**3*(s + 23)
Factor b**2 - 94*b + 2209.
(b - 47)**2
Solve -2*l**3/5 + 226*l**2/5 - 6912*l/5 + 5832 = 0.
5, 54
Suppose 5*o**2 - 720*o + 25920 = 0. What is o?
72
Factor 5*g**2 + 310*g + 4805.
5*(g + 31)**2
Determine u, given that -4*u**4 + 456*u**3 - 896*u**2 = 0.
0, 2, 112
Factor -134*a**2/17 + 4*a/17.
-2*a*(67*a - 2)/17
Suppose -4*n**2 - 432*n - 11664 = 0. What is n?
-54
What is h in 363*h**5 + 11121*h**4 - 28038*h**3 + 9084*h**2 - 792*h = 0?
-33, 0, 2/11, 2
Determine p, given that -7*p**5/4 + p**4/2 + 7*p**3/2 - p**2 - 7*p/4 + 1/2 = 0.
-1, 2/7, 1
Find b, given that -2*b**5 + 8*b**4 - 8*b**3 = 0.
0, 2
Solve 6*x**2 - 75*x + 36 = 0.
1/2, 12
Factor 5*q**4 - 10*q**3 - 20*q**2 + 10*q + 15.
5*(q - 3)*(q - 1)*(q + 1)**2
Factor -c**3/2 - 11*c**2 + 101*c/2 - 39.
-(c - 3)*(c - 1)*(c + 26)/2
Find l, given that 10*l**3/3 + 98*l**2/15 - 154*l/15 + 2/5 = 0.
-3, 1/25, 1
Factor -w**3 - 53*w**2 + 166*w - 112.
-(w - 2)*(w - 1)*(w + 56)
Find q such that -5*q**4 - 335*q**3 + 2535*q**2 - 4045*q + 1850 = 0.
-74, 1, 5
Factor -5*o**3 + 1030*o**2 - 2045*o + 1020.
-5*(o - 204)*(o - 1)**2
Factor 2*u**4 - 8*u**3 - 4*u**2 + 24*u + 18.
2*(u - 3)**2*(u + 1)**2
Factor -2*z**5 + 4*z**4 + 8*z**3 - 16*z**2.
-2*z**2*(z - 2)**2*(z + 2)
Factor -3*b**2/5 + 36*b/5 - 33/5.
-3*(b - 11)*(b - 1)/5
Determine b so that -b**4/2 + 1337*b**3/2 + 4017*b**2/2 + 4019*b/2 + 670 = 0.
-1, 1340
Find k, given that k**4 + 38*k**3 + 105*k**2 = 0.
-35, -3, 0
Suppose -2*t**5/15 + 2*t**4/5 + 14*t**3/15 - 22*t**2/15 - 4*t/5 + 16/15 = 0. Calculate t.
-2, -1, 1, 4
Suppose -5*t**2 + 95*t - 170 = 0. Calculate t.
2, 17
Find h, given that 20*h**3 + 7155*h**2 + 639030*h - 160205 = 0.
-179, 1/4
Factor d**3/6 + 107*d**2 + 22898*d + 4900172/3.
(d + 214)**3/6
Find g, given that 2*g**3/15 + 142*g**2/15 + 1022*g/15 + 294/5 = 0.
-63, -7, -1
Suppose 5*u**2 + 290*u + 4205 = 0. Calculate u.
-29
Factor z**2 + 135*z - 700.
(z - 5)*(z + 140)
Let -3*c**3 - 135*c**2 - 501*c - 369 = 0. What is c?
-41, -3, -1
Let -5*u**4 - 30*u**3 - 35*u**2 + 30*u + 40 = 0. Calculate u.
-4, -2, -1, 1
Factor -y**4/7 + 20*y**3/7 - 99*y**2/7 - 20*y/7 + 100/7.
-(y - 10)**2*(y - 1)*(y + 1)/7
Factor 4*g**4 + 676*g**3 - 684*g**2 - 676*g + 680.
4*(g - 1)**2*(g + 1)*(g + 170)
Solve 75*b**5 + 765*b**4 - 2598*b**3 + 1692*b**2 - 312*b = 0.
-13, 0, 2/5, 2
Suppose 3*y**5 - 39*y**4 + 135*y**3 + 75*y**2 - 750*y = 0. Calculate y.
-2, 0, 5
Factor -4*u**3/5 - 28*u**2/5 + 68*u/5 - 36/5.
-4*(u - 1)**2*(u + 9)/5
Solve 5*i**5/3 + 10*i**4/3 - 860*i**3/3 + 1670*i**2/3 - 275*i = 0.
-15, 0, 1, 11
Solve 5*c**4 - 100*c**3 - 1615*c**2 + 32490*c = 0 for c.
-18, 0, 19
Let 3*d**5 - 75*d**4 - 243*d**3 - 249*d**2 - 84*d = 0. Calculate d.
-1, 0, 28
Find a, given that 5*a**3 - 30*a**2 = 0.
0, 6
Solve 3*n**3/7 - 330*n**2/7 - 2859*n/7 + 3186/7 = 0.
-9, 1, 118
Solve k**2/5 - 359*k + 1794/5 = 0 for k.
1, 1794
Factor -768*d**3 - 848*d**2 - 272*d - 20.
-4*(2*d + 1)**2*(48*d + 5)
Factor -2*b**3 + 36*b**2 - 142*b - 180.
-2*(b - 10)*(b - 9)*(b + 1)
Solve 147*t**5/4 + 567*t**4/4 + 201*t**3/2 - 129*t**2 - 126*t - 24 = 0 for t.
-2, -4/7, -2/7, 1
Suppose l**2 + 254*l - 512 = 0. What is l?
-256, 2
Determine s so that -9*s**4/4 - 87*s**3/4 - 17*s**2/2 + 43*s - 18 = 0.
-9, -2, 2/3
Factor -3*s**4 - 174*s**3 - 324*s**2 + 696*s + 1344.
-3*(s - 2)*(s + 2)**2*(s + 56)
Factor -f**2/2 + 56*f.
-f*(f - 112)/2
Suppose r**4/3 + 142*r**3 + 424*r**2 + 1270*r/3 + 141 = 0. Calculate r.
-423, -1
Suppose 5*s**5 + 120*s**4 + 950*s**3 + 3060*s**2 + 3725*s + 1500 = 0. Calculate s.
-12, -5, -1
Find p, given that -5*p**5 + 1240*p**4 - 79325*p**3 + 303790*p**2 - 374540*p + 148840 = 0.
1, 2, 122
Solve v**2/11 + 23*v/11 = 0.
-23, 0
Factor 2*r**5/7 + 20*r**4/7 + 78*r**3/7 + 148*r**2/7 + 136*r/7 + 48/7.
2*(r + 1)*(r + 2)**3*(r + 3)/7
Determine r so that 2*r**5/5 + 4*r**4/5 - 16*r**3/5 + 4*r**2/5 + 14*r/5 - 8/5 = 0.
-4, -1, 1
Determine k, given that -2*k**4/5 + 2*k**3 + 6*k**2/5 - 26*k/5 - 4 = 0.
-1, 2, 5
Suppose -2*k**4 - 14*k**3 + 16*k**2 = 0. What is k?
-8, 0, 1
Find o, given that -o**5/4 - 29*o**4/4 - 83*o**3/4 + 1877*o**2/4 - 846*o + 405 = 0.
-18, 1, 5
Determine o, given that 3*o**3/8 + 9*o**2/4 + 27*o/8 = 0.
-3, 0
What is w in w**4 + 25*w**3 - 53*w**2 + 27*w = 0?
-27, 0, 1
What is l in 5*l**3 - 675*l**2 + 3915*l - 5805 = 0?
3, 129
Find c, given that -8*c**5 - 84*c**4 - 12*c**3 + 1204*c**2 - 588*c = 0.
-7, 0, 1/2, 3
Determine v, given that -4*v**4 - 20*v**3 - 20*v**2 + 20*v + 24 = 0.
-3, -2, -1, 1
Factor -v**5 + 31*v**4 - 312*v**3 + 1260*v**2 - 1728*v.
-v*(v - 16)*(v - 6)**2*(v - 3)
Factor 2*g**3/15 - 106*g**2/15 + 1232*g/15 + 1568/5.
2*(g - 28)**2*(g + 3)/15
Let 27*h**5 - 264*h**4 + 723*h**3 - 366*h**2 - 120*h = 0. What is h?
-2/9, 0, 1, 4, 5
Suppose -10*l**4/11 - 262*l**3/11 - 520*l**2/11 + 216*l/11 + 576/11 = 0. What is l?
-24, -2, -6/5, 1
Factor -20*x**5 + 100*x**4 - 125*x**3 - 50*x**2 + 100*x + 40.
-5*(x - 2)**3*(2*x + 1)**2
Factor x**5 + 2*x**4 - x**3 - 2*x**2.
x**2*(x - 1)*(x + 1)*(x + 2)
Factor i**3/2 + 11*i**2/2 + 5*i.
i*(i + 1)*(i + 10)/2
Factor 7*n**3 + 86*n**2 + 276*n + 72.
(n + 6)**2*(7*n + 2)
What is n in 2*n**3/13 - 164*n**2 + 4258*n/13 - 2128/13 = 0?
1, 1064
Factor j**2/3 + 155*j/3 + 102.
(j + 2)*(j + 153)/3
Factor -7*x**5/8 - 83*x**4/4 - 162*x**3 - 400*x**2 + 128*x.
-x*(x + 8)**3*(7*x - 2)/8
Solve -o**4/6 - 211*o**3/2 - 631*o**2/3 = 0 for o.
-631, -2, 0
Factor m**2/3 + 1690*m/3 + 714025/3.
(m + 845)**2/3
Determine w, given that -w**4/3 + 17*w**3/3 + 6*w**2 = 0.
-1, 0, 18
Factor -h**3/4 - 43*h**2/4 + 214*h - 203.
-(h - 14)*(h - 1)*(h + 58)/4
Factor 2694*c**2 - 2697*c + 3.
3*(c - 1)*(898*c - 1)
Factor 2*p**3 - 100*p**2 - 102*p.
2*p*(p - 51)*(p + 1)
Factor i**2/4 + 27*i/2.
i*(i + 54)/4
Suppose -2*x**4/3 + 268*x**3/3 - 12098*x**2/3 + 69680*x - 405600 = 0. Calculate x.
15, 52
Find y such that -y**2/6 - 19*y/3 + 13/2 = 0.
-39, 1
Suppose 2*o**5/19 + 210*o**4/19 + 4950*o**3/19 -