or -4*m**2 - 960*m + 1936.
-4*(m - 2)*(m + 242)
Factor 5*k**3 - 150*k**2 - 485*k - 330.
5*(k - 33)*(k + 1)*(k + 2)
Solve -20*m**3 + 125*m**2 - 130*m + 25 = 0 for m.
1/4, 1, 5
Factor 4*p**4 + 1648*p**3 + 230040*p**2 + 11372400*p + 68890500.
4*(p + 7)*(p + 135)**3
Find z, given that 2*z**2/11 + 598*z/11 + 6888/11 = 0.
-287, -12
Let w**2 - 188*w - 189 = 0. Calculate w.
-1, 189
Determine f, given that -5*f**3 - 67*f**2 - 86*f - 24 = 0.
-12, -1, -2/5
Determine r, given that 2*r**2/11 - 116*r/11 + 1682/11 = 0.
29
Suppose 4*g**4 + 112*g**3 + 844*g**2 + 1488*g - 2448 = 0. Calculate g.
-17, -6, 1
Factor -2*n**3/9 - 10*n**2/9 + 34*n + 234.
-2*(n - 13)*(n + 9)**2/9
Suppose m**2 + 106*m + 2809 = 0. What is m?
-53
Suppose 4*p**2 - 208*p + 400 = 0. Calculate p.
2, 50
Factor 20*u**2 + 304*u + 60.
4*(u + 15)*(5*u + 1)
Factor t**2/8 - 9/8.
(t - 3)*(t + 3)/8
Suppose s**5 + 4*s**4 - 11*s**3 - 66*s**2 - 72*s = 0. What is s?
-3, -2, 0, 4
Find r such that -49*r**4/3 + 658*r**3/3 - 671*r**2 - 1316*r/3 - 196/3 = 0.
-2/7, 7
Solve a**3/4 + 3*a**2/2 + 3*a/4 - 5/2 = 0 for a.
-5, -2, 1
Suppose -2*y**4/9 - 32*y**3/9 - 148*y**2/9 - 208*y/9 - 10 = 0. What is y?
-9, -5, -1
Solve 15*p**5 + 70*p**4 + 85*p**3 + 30*p**2 = 0 for p.
-3, -1, -2/3, 0
Find y, given that -9*y**4 - 15*y**3 + 150*y**2 + 240*y - 96 = 0.
-4, -2, 1/3, 4
Solve b**3/4 - 70*b**2 + 557*b/4 - 139/2 = 0.
1, 278
Let -w**3/2 + 14*w + 24 = 0. Calculate w.
-4, -2, 6
Factor 27*s**4 - 45*s**3 - 42*s**2 + 36*s + 24.
3*(s - 2)*(s - 1)*(3*s + 2)**2
Suppose -2*b**4/5 + 36*b**3/5 - 142*b**2/5 + 156*b/5 = 0. What is b?
0, 2, 3, 13
Factor -u**4/7 + u**3 + 3*u**2/7 - 23*u/7 + 2.
-(u - 7)*(u - 1)**2*(u + 2)/7
Determine x so that -4*x**4 + 34*x**3 - 105*x**2 + 275*x/2 - 125/2 = 0.
1, 5/2
Suppose 5*p**2 - 175*p + 870 = 0. What is p?
6, 29
Let 81*l**4/8 - 134541*l**3/8 + 134487*l**2/8 - 44823*l/8 + 1245/2 = 0. Calculate l.
1/3, 1660
Factor 2*z**2/9 - 92*z + 9522.
2*(z - 207)**2/9
Factor 3*c**2 + 135*c + 132.
3*(c + 1)*(c + 44)
Factor -2*k**2/3 + 1784*k/3.
-2*k*(k - 892)/3
Factor -t**2/3 + 28*t/3 + 29/3.
-(t - 29)*(t + 1)/3
Suppose -2*o**3/15 - 492*o**2/5 = 0. What is o?
-738, 0
Factor 2*l**4/3 - 10*l**3 + 1000*l/3.
2*l*(l - 10)**2*(l + 5)/3
Factor 3*p**5/2 - 45*p**4/2 - 99*p**3/2 + 2541*p**2/2.
3*p**2*(p - 11)**2*(p + 7)/2
Find s such that s**3/6 - 11*s**2/6 + 13*s/3 - 8/3 = 0.
1, 2, 8
Suppose 4*f**2 - 108*f - 1480 = 0. What is f?
-10, 37
Let -4*w**5 + 32*w**4 + 8*w**3 - 64*w**2 - 4*w + 32 = 0. What is w?
-1, 1, 8
Factor 21*z**2/2 - 57*z + 72.
3*(z - 2)*(7*z - 24)/2
Suppose 2*q**4/11 - 6*q**3 + 126*q**2/11 - 62*q/11 = 0. Calculate q.
0, 1, 31
Determine p so that 6*p**5 - 15*p**4/2 - 57*p**3/2 - 21*p**2/2 + 9*p/2 = 0.
-1, 0, 1/4, 3
Let -14*p**4 + 24*p**3 + 22*p**2 - 24*p - 8 = 0. Calculate p.
-1, -2/7, 1, 2
Solve 5*x**3 + 45*x**2 = 0.
-9, 0
Let -4*w**5 + 64*w**4 - 168*w**3 + 160*w**2 - 52*w = 0. Calculate w.
0, 1, 13
Suppose -3*d**5 + 756*d**4 - 1500*d**3 = 0. Calculate d.
0, 2, 250
Factor 2*m**3 - 338*m.
2*m*(m - 13)*(m + 13)
Solve -3*r**2/2 + 639*r/2 + 321 = 0.
-1, 214
Factor 2*z**3/15 + 2*z**2/15 - 2*z/15 - 2/15.
2*(z - 1)*(z + 1)**2/15
Find g such that 2*g**3/3 - 4*g**2/3 - 10*g/3 + 4 = 0.
-2, 1, 3
Find u such that 2*u**2/7 - 214*u/7 - 216/7 = 0.
-1, 108
Factor -a**2/9 - 31*a/9.
-a*(a + 31)/9
What is g in -2*g**3 - 88*g**2 = 0?
-44, 0
Find i, given that 4*i**5 + 1112*i**4 + 3292*i**3 - 2248*i**2 - 13232*i - 8800 = 0.
-275, -2, -1, 2
Solve 21*q**3 + 186*q**2 + 291*q + 126 = 0.
-7, -1, -6/7
Factor j**4/3 - 101*j**3/3 + 1122*j**2 - 35836*j/3 - 39304/3.
(j - 34)**3*(j + 1)/3
Factor -3*i**4 + 87*i**3 - 585*i**2 - 675*i.
-3*i*(i - 15)**2*(i + 1)
Solve -6*j**2 - 1534*j - 1020 = 0.
-255, -2/3
Let -28*h**4/3 + 275*h**3 + 448*h**2/3 + 20*h = 0. What is h?
-2/7, -1/4, 0, 30
Determine p, given that -5*p**3 + 95*p**2 + 20*p - 380 = 0.
-2, 2, 19
What is b in 4*b**2 + 208*b + 204 = 0?
-51, -1
Factor 2*s**3/5 - 84*s**2/5 - 72*s - 368/5.
2*(s - 46)*(s + 2)**2/5
Factor 30*x**4 - 775*x**3 + 1940*x**2 + 345*x.
5*x*(x - 23)*(x - 3)*(6*x + 1)
Find r such that -4*r**5 - 108*r**4 - 664*r**3 + 1008*r**2 + 1568*r = 0.
-14, -1, 0, 2
Find j, given that 4*j**2/5 + 212*j/5 - 232 = 0.
-58, 5
Let -2*q**2/13 - 4*q + 310/13 = 0. What is q?
-31, 5
Solve -6*t**4/7 + 90*t**3/7 + 162*t**2 + 3726*t/7 + 3888/7 = 0 for t.
-3, 24
Determine h, given that -h**5/4 - 3*h**4/4 + h**3/2 + 3*h**2 + 2*h = 0.
-2, -1, 0, 2
Factor 4*j**5 - 52*j**4 + 132*j**3 - 124*j**2 + 40*j.
4*j*(j - 10)*(j - 1)**3
Determine z so that -z**4/4 - 3*z**3/2 - 3*z**2/4 + 5*z/2 = 0.
-5, -2, 0, 1
Factor 3*y**2/4 - 31*y/4 + 5/2.
(y - 10)*(3*y - 1)/4
Find a, given that 2*a**4/13 - 578*a**3/13 + 2856*a**2/13 - 4552*a/13 + 2272/13 = 0.
1, 2, 284
Solve 2*u**2 - 3422*u = 0 for u.
0, 1711
Determine l, given that -8*l**3 - 94*l**2 - 64*l + 22 = 0.
-11, -1, 1/4
Let -3*o**2 - 141*o = 0. What is o?
-47, 0
Factor -h**4 - 31*h**3 - 30*h**2.
-h**2*(h + 1)*(h + 30)
Factor -3*g**3/8 - 3*g**2/4 + 3*g/8 + 3/4.
-3*(g - 1)*(g + 1)*(g + 2)/8
Suppose m**2/2 + 12*m - 26 = 0. Calculate m.
-26, 2
Find c, given that 6*c**3/7 - 30*c**2/7 - 48*c/7 + 72/7 = 0.
-2, 1, 6
Find l such that 3*l**4 + 60*l**3 + 297*l**2 = 0.
-11, -9, 0
Factor q**3/7 - 915*q**2/7 + 279075*q/7 - 28372625/7.
(q - 305)**3/7
Factor 2*f**3 + 118*f**2 - 368*f + 248.
2*(f - 2)*(f - 1)*(f + 62)
Solve -32*v**4/9 + 200*v**3/9 + 1432*v**2/9 + 838*v/3 + 154 = 0 for v.
-7/4, -3/2, 11
Factor -4*f**3 + 52*f**2.
-4*f**2*(f - 13)
Factor 12*x**3 + 16*x**2 - 16*x.
4*x*(x + 2)*(3*x - 2)
Solve -5*b**4 - 255*b**3 - 475*b**2 + 735*b = 0.
-49, -3, 0, 1
Let 6*s**5/5 + 56*s**4/5 + 134*s**3/5 - 68*s**2/5 - 64*s + 192/5 = 0. Calculate s.
-4, -3, 2/3, 1
Suppose -f**2/9 + 3854*f/9 - 3713329/9 = 0. Calculate f.
1927
Factor 2*r**2 - 2132*r + 568178.
2*(r - 533)**2
Find c such that -c**5 + 114*c**4 - 446*c**3 + 664*c**2 - 441*c + 110 = 0.
1, 110
Solve -u**2/5 - 276*u/5 - 19044/5 = 0.
-138
What is c in 9*c**5/10 - 137*c**4/10 + 21*c**3/10 + 137*c**2/10 - 3*c = 0?
-1, 0, 2/9, 1, 15
Factor g**4/3 - 16*g**3 - 86*g**2 - 368*g/3 - 53.
(g - 53)*(g + 1)**2*(g + 3)/3
Factor j**3/2 + 15*j**2/2 - 33*j/2 + 17/2.
(j - 1)**2*(j + 17)/2
Factor 3*x**4 - 75*x**3 + 225*x**2 + 3375*x.
3*x*(x - 15)**2*(x + 5)
Solve 8*k**4 - 8*k**3 - 126*k**2 + 20*k + 400 = 0 for k.
-5/2, 2, 4
Factor 2*p**3 - 72*p**2 + 714*p - 1156.
2*(p - 17)**2*(p - 2)
Factor -37*s**3 - 260*s**2 + 289*s + 8.
-(s - 1)*(s + 8)*(37*s + 1)
Factor w**5 + 60*w**4 - w**3 - 60*w**2.
w**2*(w - 1)*(w + 1)*(w + 60)
Solve 18*c**5/13 + 4*c**4/13 - 882*c**3/13 - 196*c**2/13 = 0.
-7, -2/9, 0, 7
Suppose v**4/3 + 17*v**3/3 - 20*v**2/3 - 12*v = 0. Calculate v.
-18, -1, 0, 2
Solve -351*v**2 + 96*v - 4 = 0 for v.
2/39, 2/9
Let v**4/3 + v**3 - 5*v**2 + 17*v/3 - 2 = 0. Calculate v.
-6, 1
Determine o so that -3*o**2/7 - 36*o/7 + 324/7 = 0.
-18, 6
Suppose -4*k**4 - 28*k**3 + 124*k**2 + 28*k - 120 = 0. Calculate k.
-10, -1, 1, 3
Determine w so that -2*w**4 + 122*w**3 - 348*w**2 = 0.
0, 3, 58
Suppose 2*s**4/3 + 218*s**3/3 - 220*s**2/3 = 0. What is s?
-110, 0, 1
Let -3*r**5/4 + 69*r**4/4 - 231*r**3/2 + 153*r**2 + 594*r - 648 = 0. Calculate r.
-2, 1, 6, 12
Factor 3*t**4 - 5*t**3 - 16*t**2 + 12*t.
t*(t - 3)*(t + 2)*(3*t - 2)
Factor -4*b**2 + 16*b - 16.
-4*(b - 2)**2
Factor -3*f**3/5 + 18*f**2/5 - 3*f.
-3*f*(f - 5)*(f - 1)/5
What is q in 16*q**4/17 + 86*q**3/17 + 14*q**2/17 - 86*q/17 - 30/17 = 0?
-5, -1, -3/8, 1
Factor i**2/5 + 24*i/5 + 144/5.
(i + 12)**2/5
Determine i so that i**2/2 + 98*i + 4802 = 0.
-98
Determine b so that -8*b**5/5 + 42*b**4/5 - 42*b**3/5 + 8*b**2/5 = 0.
0, 1/4, 1, 4
Find a such that a**2 - 51*a + 50 = 0.
1, 50
Solve 5*g**2/2 + 49*g + 57/2 = 0.
-19, -3/5
Factor s**3/5 + 3*s**2/5 + 3*s/5 + 1/5.
(s + 1)**3/5
Suppose 5*w**2 - 20 = 0. Calculate w.
-2, 2
Factor 5*x**4 - 50*x**3 - 515*x**2 - 1300*x - 1020.
5*(x - 17)*(x + 2)**2*(x + 3)
Determine q so that 3*q**4/4 + q**3 - 11*q**2/4 - 4*q - 1 = 0.
-2, -1, -1/3, 2
Find b, given that 15*b**4/4 - 33*b**3/2 + 21*b**2 - 6*b = 0.
0, 2/5, 2
Determine u, given that 3*u**3/4 - 183*u**2 - 3*u/4 + 183 = 0.
-1, 1, 244
Factor 3*i**2 + 96*i - 1584.
3*(i - 12)*(i + 44)
Find p, given that -3*p**3/5 + 48*p**2 - 924*p/5 + 912/5 = 0.
2, 76
Factor -j**2 + 4766*j - 5678689.
-(j - 2383)**2
Find x such that 55*x**5/3 - 2