g**2 + 64*g - 160.
-2*(g - 2)**2*(g + 2)*(g + 10)
Find v, given that -4*v**5 - 1180*v**4 = 0.
-295, 0
Let -o**2/6 - 5*o/2 - 6 = 0. What is o?
-12, -3
Factor 5*c**2 - 80*c.
5*c*(c - 16)
What is d in 2*d**2/7 - 4660*d/7 + 2714450/7 = 0?
1165
Determine z, given that 3*z**4/5 + 3882*z**3/5 - 777*z**2 = 0.
-1295, 0, 1
Factor -4*s**2 + 76*s - 72.
-4*(s - 18)*(s - 1)
Find z such that -z**2/3 + 52*z/3 + 224/3 = 0.
-4, 56
Let -4*h**3 - 2804*h**2 - 489996*h + 492804 = 0. What is h?
-351, 1
Factor -4*l**2/9 + 100*l/9 - 88/3.
-4*(l - 22)*(l - 3)/9
Suppose -3*j**3 + 15*j**2 + 39*j + 21 = 0. Calculate j.
-1, 7
Factor -5*b**2 + 20*b + 960.
-5*(b - 16)*(b + 12)
Find c, given that 60*c**4 - 232*c**3 + 268*c**2 - 80*c - 16 = 0.
-2/15, 1, 2
Factor -3*w**3/2 - 15*w**2/2 + 9*w.
-3*w*(w - 1)*(w + 6)/2
Let 2*r**3/7 + 22*r**2/7 - 12*r = 0. Calculate r.
-14, 0, 3
Let -48*w**4 + 140*w**3 - 96*w**2 + 16*w = 0. What is w?
0, 1/4, 2/3, 2
Factor 5*a**2 + 8670*a + 3758445.
5*(a + 867)**2
Factor -l**3/9 - l**2/9 + 4*l/3.
-l*(l - 3)*(l + 4)/9
Let m**4/4 - 2*m**3 + 2*m**2 + 8*m - 12 = 0. Calculate m.
-2, 2, 6
Find j such that -j**2/3 - 20*j + 61/3 = 0.
-61, 1
Factor -j**3/2 - j**2/2 + 2*j + 2.
-(j - 2)*(j + 1)*(j + 2)/2
Factor -2*a**2 + 320*a + 1992.
-2*(a - 166)*(a + 6)
Suppose 2*y**3/3 - 4*y**2 + 10*y/3 = 0. Calculate y.
0, 1, 5
Factor -36*u**3 + 20*u**2 + 192*u - 176.
-4*(u - 2)*(u - 1)*(9*u + 22)
Suppose 2*i**3/7 - 108*i**2/7 + 1920*i/7 - 1600 = 0. What is i?
14, 20
Determine u, given that -3*u**2/8 + 843*u/8 - 1251/4 = 0.
3, 278
Factor -c**2/7 - 180*c/7 + 1116/7.
-(c - 6)*(c + 186)/7
Determine y so that -3*y**5/7 - 9*y**4/7 + 30*y**3/7 + 90*y**2/7 - 27*y/7 - 81/7 = 0.
-3, -1, 1, 3
Factor -4*m**3 + 24*m**2 + 924*m + 3920.
-4*(m - 20)*(m + 7)**2
Suppose -5*y**4 + 140*y**3 + 450*y**2 + 460*y + 155 = 0. What is y?
-1, 31
Let 3*i**5/2 - 13*i**4/2 - 5*i**3/2 + 57*i**2/2 - 9*i = 0. What is i?
-2, 0, 1/3, 3
Factor -3*d**5/8 - 9*d**4/8 - 9*d**3/8 - 3*d**2/8.
-3*d**2*(d + 1)**3/8
Factor -2*y**2/3 - 20*y/3 + 112/3.
-2*(y - 4)*(y + 14)/3
Solve 60*a**2 + 116*a - 176 = 0 for a.
-44/15, 1
Factor 12*j**2 + 4240*j + 1412.
4*(j + 353)*(3*j + 1)
Find h such that -h**3/4 + h**2/4 + 5*h/4 + 3/4 = 0.
-1, 3
Factor 2*j**3/3 - 184*j**2/3 + 538*j/3 - 356/3.
2*(j - 89)*(j - 2)*(j - 1)/3
Factor 6*i**3/7 + 1712*i**2/7 + 121550*i/7 - 81796/7.
2*(i + 143)**2*(3*i - 2)/7
Factor -u**3/3 + 6*u**2 - 17*u/3.
-u*(u - 17)*(u - 1)/3
Find j such that 4*j**2/5 - 64*j + 316/5 = 0.
1, 79
Let a**2/5 - 471*a/5 - 1422/5 = 0. Calculate a.
-3, 474
Find j, given that -4*j**5/3 - 40*j**4 - 256*j**3 + 2048*j**2/3 = 0.
-16, 0, 2
Determine l, given that -l**5 + 3*l**4 + 33*l**3 + l**2 - 216*l - 252 = 0.
-3, -2, 3, 7
Factor -2*v**2/5 - 278*v - 1388/5.
-2*(v + 1)*(v + 694)/5
Let 54*d**2/7 + 50*d/7 - 4/7 = 0. What is d?
-1, 2/27
What is j in 4*j**3 + 168*j**2 + 1700*j = 0?
-25, -17, 0
Solve 3*a**5/7 + 6*a**4 - 228*a**3/7 - 24*a**2 + 864*a/7 = 0 for a.
-18, -2, 0, 2, 4
Factor -5*k**4 - 40*k**3 + 45*k**2.
-5*k**2*(k - 1)*(k + 9)
Determine q so that q**4 + 2*q**3 - 53*q**2 - 198*q - 144 = 0.
-6, -3, -1, 8
Factor -3*t**3/7 - 144*t**2 - 429*t - 1998/7.
-3*(t + 1)*(t + 2)*(t + 333)/7
Factor -4*q**4/9 + 52*q**3/9 + 116*q**2/9 + 20*q/3.
-4*q*(q - 15)*(q + 1)**2/9
Factor 13*x**2/2 + 623*x - 96.
(x + 96)*(13*x - 2)/2
Factor x**5/4 - x**4/2 - x**3/4 + x**2/2.
x**2*(x - 2)*(x - 1)*(x + 1)/4
Solve 4*t**4/7 - 80*t**3/7 + 204*t**2/7 = 0.
0, 3, 17
What is d in 2*d**5/9 - 4*d**4/9 - 16*d**3/9 + 4*d**2 - 2*d = 0?
-3, 0, 1, 3
Factor -y**2/4 - 51*y/2 + 280.
-(y - 10)*(y + 112)/4
Suppose a**3 - 1314*a**2 - 2631*a - 1316 = 0. Calculate a.
-1, 1316
Determine z, given that 2*z**4/11 - 12*z**3/11 - 174*z**2/11 + 160*z/11 + 2400/11 = 0.
-5, 4, 12
What is b in b**2/8 - 33*b/8 - 27/2 = 0?
-3, 36
Determine p so that -3*p**3 + 184*p**2/3 + 844*p/3 + 880/3 = 0.
-2, 220/9
Suppose -2*y**4/23 + 58*y**3/23 - 246*y**2/23 + 126*y/23 + 432/23 = 0. Calculate y.
-1, 3, 24
Factor -49*f**5/8 - 8897*f**4/8 - 634*f**3 - 181*f**2/2.
-f**2*(f + 181)*(7*f + 2)**2/8
Factor 2*m**3/3 + 302*m**2 + 45602*m + 6885902/3.
2*(m + 151)**3/3
Determine d so that -2*d**3/9 + 728*d**2 - 596232*d = 0.
0, 1638
Factor g**3 - 31*g**2 + 224*g + 256.
(g - 16)**2*(g + 1)
Factor 4*p**4/7 - 32*p**3/7 - 180*p**2/7 - 144*p/7.
4*p*(p - 12)*(p + 1)*(p + 3)/7
Factor 3*l**3/10 + l**2/10 - 4*l/5 + 2/5.
(l - 1)*(l + 2)*(3*l - 2)/10
Find m, given that 3*m**4/4 - 39*m**3 + 2343*m**2/4 - 5445*m/2 = 0.
0, 11, 30
Factor 3*p**4/5 + 162*p**3/5 + 2343*p**2/5 + 4212*p/5 + 2028/5.
3*(p + 1)**2*(p + 26)**2/5
Factor -q**2/2 + 42*q + 85/2.
-(q - 85)*(q + 1)/2
Factor -z**3/2 + 4*z**2 + 9*z/2.
-z*(z - 9)*(z + 1)/2
Determine p, given that -p**5/4 - 13*p**4/4 - 33*p**3/2 - 81*p**2/2 - 189*p/4 - 81/4 = 0.
-3, -1
Factor -14*k**3 + 1348*k**2 - 32640*k + 9216.
-2*(k - 48)**2*(7*k - 2)
Solve -3*s**4/2 + 33*s**3/2 - 81*s**2/2 + 75*s/2 - 12 = 0 for s.
1, 8
Solve 4*p**2/5 - 14*p + 34/5 = 0 for p.
1/2, 17
Factor -g**2 + 45*g.
-g*(g - 45)
Solve -4*s**4/5 - 28*s**3/5 - 16*s**2/5 + 48*s/5 = 0 for s.
-6, -2, 0, 1
Factor -17*m**3 - 15*m**2 + 2*m.
-m*(m + 1)*(17*m - 2)
Find o such that -2*o**4/11 + 36*o**3/11 - 6*o**2 + 32*o/11 = 0.
0, 1, 16
Factor 3*a**3 - 30*a**2 - 156*a - 168.
3*(a - 14)*(a + 2)**2
Factor -5*r**2 - 10*r + 120.
-5*(r - 4)*(r + 6)
Solve -y**3/8 + 61*y**2/8 - 35*y = 0.
0, 5, 56
Factor -4*w**2 - 4*w + 48.
-4*(w - 3)*(w + 4)
Factor 3*w**4/4 - 441*w**3/4 + 3996*w**2 + 4107*w.
3*w*(w - 74)**2*(w + 1)/4
Find q, given that 50*q**5 + 1095*q**4 + 5130*q**3 + 6455*q**2 - 1770*q - 1440 = 0.
-16, -3, -2/5, 1/2
Factor -50*l**2/13 + 60420*l/13 - 18252882/13.
-2*(5*l - 3021)**2/13
Factor -2*b**2 - 4488*b - 2517768.
-2*(b + 1122)**2
Determine n, given that 2*n**2/15 - 148*n/15 + 146/15 = 0.
1, 73
Factor -13*u**2 + 2520*u + 388.
-(u - 194)*(13*u + 2)
What is q in -2*q**4 - 116*q**3 - 1554*q**2 + 3960*q + 5400 = 0?
-30, -1, 3
Let -2*o**3 + 46*o**2 - 86*o + 42 = 0. Calculate o.
1, 21
Let 4*l**4/5 - 88*l**3/5 + 52*l**2/5 + 144*l - 1008/5 = 0. What is l?
-3, 2, 21
Solve c**5/5 + c**4 - 7*c**3/5 - c**2 + 6*c/5 = 0 for c.
-6, -1, 0, 1
Factor 5*x**2 - 110*x + 200.
5*(x - 20)*(x - 2)
Factor -2*a**2/5 + 54*a/5 + 116/5.
-2*(a - 29)*(a + 2)/5
Factor -5*t**2 + 15660*t - 12261780.
-5*(t - 1566)**2
Suppose -3*t**2/4 + 273*t/2 - 24843/4 = 0. What is t?
91
Suppose 2*i**5 - 41*i**4/3 + 3*i**3 + 26*i**2/3 = 0. What is i?
-2/3, 0, 1, 13/2
Factor 27378*a**3/5 - 135954*a**2/5 - 4672*a/5 - 8.
2*(a - 5)*(117*a + 2)**2/5
Find b such that 515*b**2/2 - 5663*b/2 - 11 = 0.
-2/515, 11
Factor -w**4/3 - 32*w**3/3 + 34*w**2 - 104*w/3 + 35/3.
-(w - 1)**3*(w + 35)/3
Solve 375*d**3 - 82575*d**2 + 6061005*d - 148292589 = 0.
367/5
Factor -5*m**3 - 765*m**2 - 29640*m - 28880.
-5*(m + 1)*(m + 76)**2
Factor l**3/6 - l**2/3 - l/6 + 1/3.
(l - 2)*(l - 1)*(l + 1)/6
What is n in n**5/6 - n**4 - 7*n**3/6 + 46*n**2/3 - 24*n + 32/3 = 0?
-4, 1, 4
Factor -t**2/6 - t.
-t*(t + 6)/6
Factor -2*j**3 + 19884*j**2 - 65895576*j + 72792646288.
-2*(j - 3314)**3
Suppose 4*u**3 - 24*u**2 + 12*u + 40 = 0. Calculate u.
-1, 2, 5
Find p, given that -125*p**5/4 + 13225*p**4/4 - 396395*p**3/4 + 2411675*p**2/4 - 435610*p + 84035 = 0.
2/5, 7, 49
Solve 5*v**5 + 15*v**4 - 20*v**2 = 0.
-2, 0, 1
Determine p so that -5*p**4/3 - 35*p**3/3 + 70*p**2/3 + 80*p = 0.
-8, -2, 0, 3
Factor 2*i**3/3 + 2*i**2/3 - 8*i.
2*i*(i - 3)*(i + 4)/3
Factor -4*j**3/7 + 88*j**2/7 - 16*j - 672.
-4*(j - 14)**2*(j + 6)/7
Suppose -z**5 + 5*z**4 + 2*z**3 - 10*z**2 - z + 5 = 0. What is z?
-1, 1, 5
Suppose -3*d**3/8 + 4095*d**2/8 - 174933*d + 348843/2 = 0. Calculate d.
1, 682
Find f, given that -3*f**5 - 174*f**4 - 3480*f**3 - 28464*f**2 - 96624*f - 104544 = 0.
-22, -6, -2
Let 2*o**5/11 + 18*o**4/11 - 2*o**3/11 - 18*o**2/11 = 0. What is o?
-9, -1, 0, 1
Solve -32*u**3/9 - 2768*u**2/9 - 1378*u/9 - 172/9 = 0 for u.
-86, -1/4
Factor 3*i**2/4 + 357*i/4 - 363/2.
3*(i - 2)*(i + 121)/4
Solve -2*p**4/9 - 4*p**3 - 10*p**2/9 + 496*p/3 - 160 = 0 for p.
-12, 1, 5
Factor -3*t**3 + 54*t**2 + 1587*t + 1530.
-3*(t - 34)*(t + 1)*(t + 15)
Suppose l**3/3 - 46*l**2/3 + 56*l = 0. Calculate l.
0, 4, 42
Suppose 2*i**3 + 114*i**2 + 1566*i - 1682 = 0. Calculate i.
-29, 1
Factor -p**2 + 122*p + 248.
-(p - 124)*(p + 2)
Factor 2*y**3 + 334*y**2 - 1368*y.
2*y*(